TSTP Solution File: ALG153+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG153+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n018.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 18:30:36 EDT 2022
% Result : Unsatisfiable 21.42s 21.66s
% Output : Proof 22.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG153+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 18:37:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 21.42/21.66 (* PROOF-FOUND *)
% 21.42/21.66 % SZS status Unsatisfiable
% 21.42/21.66 (* BEGIN-PROOF *)
% 21.42/21.66 % SZS output start Proof
% 21.42/21.66 Theorem zenon_thm : False.
% 21.42/21.66 Proof.
% 21.42/21.66 assert (zenon_L1_ : ((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0)))) -> ((op (e0) (e0)) = (e0)) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H1d zenon_H1e.
% 21.42/21.66 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 21.42/21.66 exact (zenon_H1f zenon_H1e).
% 21.42/21.66 exact (zenon_H1f zenon_H1e).
% 21.42/21.66 (* end of lemma zenon_L1_ *)
% 21.42/21.66 assert (zenon_L2_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H20.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H1e. zenon_intro zenon_H21.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H1e. zenon_intro zenon_H22.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.42/21.66 apply (zenon_L1_); trivial.
% 21.42/21.66 (* end of lemma zenon_L2_ *)
% 21.42/21.66 assert (zenon_L3_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H24 zenon_H1e zenon_H25.
% 21.42/21.66 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e1) (e0)))).
% 21.42/21.66 intro zenon_D_pnotp.
% 21.42/21.66 apply zenon_H24.
% 21.42/21.66 rewrite <- zenon_D_pnotp.
% 21.42/21.66 exact zenon_H1e.
% 21.42/21.66 cut (((e0) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 21.42/21.66 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 21.42/21.66 congruence.
% 21.42/21.66 apply zenon_H27. apply refl_equal.
% 21.42/21.66 apply zenon_H26. apply sym_equal. exact zenon_H25.
% 21.42/21.66 (* end of lemma zenon_L3_ *)
% 21.42/21.66 assert (zenon_L4_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H28 zenon_H24 zenon_H1e.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 21.42/21.66 apply (zenon_L3_); trivial.
% 21.42/21.66 (* end of lemma zenon_L4_ *)
% 21.42/21.66 assert (zenon_L5_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H2c zenon_H1e zenon_H2d.
% 21.42/21.66 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e2) (e0)))).
% 21.42/21.66 intro zenon_D_pnotp.
% 21.42/21.66 apply zenon_H2c.
% 21.42/21.66 rewrite <- zenon_D_pnotp.
% 21.42/21.66 exact zenon_H1e.
% 21.42/21.66 cut (((e0) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 21.42/21.66 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 21.42/21.66 congruence.
% 21.42/21.66 apply zenon_H27. apply refl_equal.
% 21.42/21.66 apply zenon_H2e. apply sym_equal. exact zenon_H2d.
% 21.42/21.66 (* end of lemma zenon_L5_ *)
% 21.42/21.66 assert (zenon_L6_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H2f zenon_H2c zenon_H1e.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 21.42/21.66 apply (zenon_L5_); trivial.
% 21.42/21.66 (* end of lemma zenon_L6_ *)
% 21.42/21.66 assert (zenon_L7_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H33 zenon_H1e zenon_H34.
% 21.42/21.66 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e3) (e0)))).
% 21.42/21.66 intro zenon_D_pnotp.
% 21.42/21.66 apply zenon_H33.
% 21.42/21.66 rewrite <- zenon_D_pnotp.
% 21.42/21.66 exact zenon_H1e.
% 21.42/21.66 cut (((e0) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 21.42/21.66 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 21.42/21.66 congruence.
% 21.42/21.66 apply zenon_H27. apply refl_equal.
% 21.42/21.66 apply zenon_H35. apply sym_equal. exact zenon_H34.
% 21.42/21.66 (* end of lemma zenon_L7_ *)
% 21.42/21.66 assert (zenon_L8_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H36 zenon_H33 zenon_H1e.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 21.42/21.66 apply (zenon_L7_); trivial.
% 21.42/21.66 (* end of lemma zenon_L8_ *)
% 21.42/21.66 assert (zenon_L9_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e0) (e0)) = (e0)) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H3a zenon_H1e.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.42/21.66 apply (zenon_L1_); trivial.
% 21.42/21.66 (* end of lemma zenon_L9_ *)
% 21.42/21.66 assert (zenon_L10_ : ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((op (e1) (e1)) = (e1)) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H3e zenon_H3f.
% 21.42/21.66 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 21.42/21.66 exact (zenon_H40 zenon_H3f).
% 21.42/21.66 exact (zenon_H40 zenon_H3f).
% 21.42/21.66 (* end of lemma zenon_L10_ *)
% 21.42/21.66 assert (zenon_L11_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H41.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H3f. zenon_intro zenon_H42.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H3f. zenon_intro zenon_H2b.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.42/21.66 apply (zenon_L10_); trivial.
% 21.42/21.66 (* end of lemma zenon_L11_ *)
% 21.42/21.66 assert (zenon_L12_ : (~((e0) = (e0))) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H46.
% 21.42/21.66 apply zenon_H46. apply refl_equal.
% 21.42/21.66 (* end of lemma zenon_L12_ *)
% 21.42/21.66 assert (zenon_L13_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H1e zenon_H47 zenon_H48.
% 21.42/21.66 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H49 | zenon_intro zenon_H4a ].
% 21.42/21.66 cut (((e1) = (e1)) = ((e0) = (e1))).
% 21.42/21.66 intro zenon_D_pnotp.
% 21.42/21.66 apply zenon_H48.
% 21.42/21.66 rewrite <- zenon_D_pnotp.
% 21.42/21.66 exact zenon_H49.
% 21.42/21.66 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.42/21.66 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 21.42/21.66 congruence.
% 21.42/21.66 cut (((op (e0) (e0)) = (e0)) = ((e1) = (e0))).
% 21.42/21.66 intro zenon_D_pnotp.
% 21.42/21.66 apply zenon_H4b.
% 21.42/21.66 rewrite <- zenon_D_pnotp.
% 21.42/21.66 exact zenon_H1e.
% 21.42/21.66 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.42/21.66 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 21.42/21.66 congruence.
% 21.42/21.66 exact (zenon_H4c zenon_H47).
% 21.42/21.66 apply zenon_H46. apply refl_equal.
% 21.42/21.66 apply zenon_H4a. apply refl_equal.
% 21.42/21.66 apply zenon_H4a. apply refl_equal.
% 21.42/21.66 (* end of lemma zenon_L13_ *)
% 21.42/21.66 assert (zenon_L14_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H4d zenon_H3c zenon_H4e.
% 21.42/21.66 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H4f | zenon_intro zenon_H50 ].
% 21.42/21.66 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 21.42/21.66 intro zenon_D_pnotp.
% 21.42/21.66 apply zenon_H4e.
% 21.42/21.66 rewrite <- zenon_D_pnotp.
% 21.42/21.66 exact zenon_H4f.
% 21.42/21.66 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.42/21.66 cut (((op (e1) (e2)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 21.42/21.66 congruence.
% 21.42/21.66 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e1) (e0)))).
% 21.42/21.66 intro zenon_D_pnotp.
% 21.42/21.66 apply zenon_H51.
% 21.42/21.66 rewrite <- zenon_D_pnotp.
% 21.42/21.66 exact zenon_H4d.
% 21.42/21.66 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 21.42/21.66 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.42/21.66 congruence.
% 21.42/21.66 apply zenon_H50. apply refl_equal.
% 21.42/21.66 apply zenon_H52. apply sym_equal. exact zenon_H3c.
% 21.42/21.66 apply zenon_H50. apply refl_equal.
% 21.42/21.66 apply zenon_H50. apply refl_equal.
% 21.42/21.66 (* end of lemma zenon_L14_ *)
% 21.42/21.66 assert (zenon_L15_ : ((op (e2) (e1)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H53 zenon_H54 zenon_H55.
% 21.42/21.66 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H56 | zenon_intro zenon_H57 ].
% 21.42/21.66 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 21.42/21.66 intro zenon_D_pnotp.
% 21.42/21.66 apply zenon_H55.
% 21.42/21.66 rewrite <- zenon_D_pnotp.
% 21.42/21.66 exact zenon_H56.
% 21.42/21.66 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 21.42/21.66 cut (((op (e2) (e1)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 21.42/21.66 congruence.
% 21.42/21.66 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e2) (e0)))).
% 21.42/21.66 intro zenon_D_pnotp.
% 21.42/21.66 apply zenon_H58.
% 21.42/21.66 rewrite <- zenon_D_pnotp.
% 21.42/21.66 exact zenon_H53.
% 21.42/21.66 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 21.42/21.66 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 21.42/21.66 congruence.
% 21.42/21.66 apply zenon_H57. apply refl_equal.
% 21.42/21.66 apply zenon_H59. apply sym_equal. exact zenon_H54.
% 21.42/21.66 apply zenon_H57. apply refl_equal.
% 21.42/21.66 apply zenon_H57. apply refl_equal.
% 21.42/21.66 (* end of lemma zenon_L15_ *)
% 21.42/21.66 assert (zenon_L16_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H5a zenon_H3c zenon_H4e.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.42/21.66 apply (zenon_L14_); trivial.
% 21.42/21.66 (* end of lemma zenon_L16_ *)
% 21.42/21.66 assert (zenon_L17_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H5c zenon_H3c zenon_H5d.
% 21.42/21.66 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H5e | zenon_intro zenon_H5f ].
% 21.42/21.66 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e0)) = (op (e1) (e3)))).
% 21.42/21.66 intro zenon_D_pnotp.
% 21.42/21.66 apply zenon_H5d.
% 21.42/21.66 rewrite <- zenon_D_pnotp.
% 21.42/21.66 exact zenon_H5e.
% 21.42/21.66 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 21.42/21.66 cut (((op (e1) (e3)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 21.42/21.66 congruence.
% 21.42/21.66 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e0)))).
% 21.42/21.66 intro zenon_D_pnotp.
% 21.42/21.66 apply zenon_H60.
% 21.42/21.66 rewrite <- zenon_D_pnotp.
% 21.42/21.66 exact zenon_H5c.
% 21.42/21.66 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 21.42/21.66 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 21.42/21.66 congruence.
% 21.42/21.66 apply zenon_H5f. apply refl_equal.
% 21.42/21.66 apply zenon_H52. apply sym_equal. exact zenon_H3c.
% 21.42/21.66 apply zenon_H5f. apply refl_equal.
% 21.42/21.66 apply zenon_H5f. apply refl_equal.
% 21.42/21.66 (* end of lemma zenon_L17_ *)
% 21.42/21.66 assert (zenon_L18_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H61 zenon_H3c zenon_H5d.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 21.42/21.66 apply (zenon_L17_); trivial.
% 21.42/21.66 (* end of lemma zenon_L18_ *)
% 21.42/21.66 assert (zenon_L19_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e0) (e0)) = (e0)) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H63 zenon_H1e.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 21.42/21.66 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.42/21.66 apply (zenon_L1_); trivial.
% 21.42/21.66 (* end of lemma zenon_L19_ *)
% 21.42/21.66 assert (zenon_L20_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H1e zenon_H67 zenon_H68.
% 21.42/21.66 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 21.42/21.66 cut (((e2) = (e2)) = ((e0) = (e2))).
% 21.42/21.66 intro zenon_D_pnotp.
% 21.42/21.66 apply zenon_H68.
% 21.42/21.66 rewrite <- zenon_D_pnotp.
% 21.42/21.66 exact zenon_H69.
% 21.42/21.66 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.42/21.66 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 21.42/21.66 congruence.
% 21.42/21.66 cut (((op (e0) (e0)) = (e0)) = ((e2) = (e0))).
% 21.42/21.66 intro zenon_D_pnotp.
% 21.42/21.66 apply zenon_H6b.
% 21.42/21.66 rewrite <- zenon_D_pnotp.
% 21.42/21.66 exact zenon_H1e.
% 21.42/21.66 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.42/21.66 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 21.42/21.66 congruence.
% 21.42/21.66 exact (zenon_H6c zenon_H67).
% 21.42/21.66 apply zenon_H46. apply refl_equal.
% 21.42/21.66 apply zenon_H6a. apply refl_equal.
% 21.42/21.66 apply zenon_H6a. apply refl_equal.
% 21.42/21.66 (* end of lemma zenon_L20_ *)
% 21.42/21.66 assert (zenon_L21_ : ((op (e2) (e1)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> False).
% 21.42/21.66 do 0 intro. intros zenon_H6d zenon_H6e zenon_H6f.
% 21.42/21.66 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H56 | zenon_intro zenon_H57 ].
% 21.42/21.66 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 21.42/21.66 intro zenon_D_pnotp.
% 21.42/21.66 apply zenon_H6f.
% 21.42/21.66 rewrite <- zenon_D_pnotp.
% 21.42/21.66 exact zenon_H56.
% 21.42/21.67 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 21.42/21.67 cut (((op (e2) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e0) (e1)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H70.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H6d.
% 21.42/21.67 cut (((e2) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 21.42/21.67 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H57. apply refl_equal.
% 21.42/21.67 apply zenon_H71. apply sym_equal. exact zenon_H6e.
% 21.42/21.67 apply zenon_H57. apply refl_equal.
% 21.42/21.67 apply zenon_H57. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L21_ *)
% 21.42/21.67 assert (zenon_L22_ : ((op (e1) (e2)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H72 zenon_H66 zenon_H73.
% 21.42/21.67 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H4f | zenon_intro zenon_H50 ].
% 21.42/21.67 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H73.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H4f.
% 21.42/21.67 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.42/21.67 cut (((op (e1) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e0) (e2)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H74.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H72.
% 21.42/21.67 cut (((e2) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H75].
% 21.42/21.67 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H50. apply refl_equal.
% 21.42/21.67 apply zenon_H75. apply sym_equal. exact zenon_H66.
% 21.42/21.67 apply zenon_H50. apply refl_equal.
% 21.42/21.67 apply zenon_H50. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L22_ *)
% 21.42/21.67 assert (zenon_L23_ : (~((e1) = (e1))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H4a.
% 21.42/21.67 apply zenon_H4a. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L23_ *)
% 21.42/21.67 assert (zenon_L24_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H3c zenon_H76 zenon_H77.
% 21.42/21.67 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 21.42/21.67 cut (((e2) = (e2)) = ((e1) = (e2))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H77.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H69.
% 21.42/21.67 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.42/21.67 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e1) (e0)) = (e1)) = ((e2) = (e1))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H78.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H3c.
% 21.42/21.67 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.42/21.67 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_H79 zenon_H76).
% 21.42/21.67 apply zenon_H4a. apply refl_equal.
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L24_ *)
% 21.42/21.67 assert (zenon_L25_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H25 zenon_H3c zenon_H48.
% 21.42/21.67 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H49 | zenon_intro zenon_H4a ].
% 21.42/21.67 cut (((e1) = (e1)) = ((e0) = (e1))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H48.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H49.
% 21.42/21.67 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.42/21.67 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e1) (e0)) = (e0)) = ((e1) = (e0))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H4b.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H25.
% 21.42/21.67 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.42/21.67 cut (((op (e1) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_H7a zenon_H3c).
% 21.42/21.67 apply zenon_H46. apply refl_equal.
% 21.42/21.67 apply zenon_H4a. apply refl_equal.
% 21.42/21.67 apply zenon_H4a. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L25_ *)
% 21.42/21.67 assert (zenon_L26_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H28 zenon_H3c zenon_H48.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 21.42/21.67 apply (zenon_L25_); trivial.
% 21.42/21.67 (* end of lemma zenon_L26_ *)
% 21.42/21.67 assert (zenon_L27_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H2d zenon_H65 zenon_H68.
% 21.42/21.67 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 21.42/21.67 cut (((e2) = (e2)) = ((e0) = (e2))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H68.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H69.
% 21.42/21.67 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.42/21.67 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e2) (e0)) = (e0)) = ((e2) = (e0))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H6b.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H2d.
% 21.42/21.67 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.42/21.67 cut (((op (e2) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_H7b zenon_H65).
% 21.42/21.67 apply zenon_H46. apply refl_equal.
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L27_ *)
% 21.42/21.67 assert (zenon_L28_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H2f zenon_H65 zenon_H68.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 21.42/21.67 apply (zenon_L27_); trivial.
% 21.42/21.67 (* end of lemma zenon_L28_ *)
% 21.42/21.67 assert (zenon_L29_ : (~((e2) = (e2))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H6a.
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L29_ *)
% 21.42/21.67 assert (zenon_L30_ : (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H77 zenon_H65 zenon_H54.
% 21.42/21.67 cut (((op (e2) (e0)) = (e2)) = ((e1) = (e2))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H77.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H65.
% 21.42/21.67 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.42/21.67 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_H7c zenon_H54).
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L30_ *)
% 21.42/21.67 assert (zenon_L31_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H7d zenon_H7e zenon_H7f.
% 21.42/21.67 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H7d.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H7e.
% 21.42/21.67 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H80].
% 21.42/21.67 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H81. apply refl_equal.
% 21.42/21.67 apply zenon_H80. apply sym_equal. exact zenon_H7f.
% 21.42/21.67 (* end of lemma zenon_L31_ *)
% 21.42/21.67 assert (zenon_L32_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H82 zenon_H48 zenon_H1e zenon_H5d zenon_H5c zenon_H65 zenon_H77 zenon_H7d zenon_H7f.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.42/21.67 apply (zenon_L13_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.42/21.67 apply (zenon_L17_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.42/21.67 apply (zenon_L30_); trivial.
% 21.42/21.67 apply (zenon_L31_); trivial.
% 21.42/21.67 (* end of lemma zenon_L32_ *)
% 21.42/21.67 assert (zenon_L33_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H61 zenon_H82 zenon_H48 zenon_H1e zenon_H5d zenon_H65 zenon_H77 zenon_H7d.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 21.42/21.67 apply (zenon_L32_); trivial.
% 21.42/21.67 (* end of lemma zenon_L33_ *)
% 21.42/21.67 assert (zenon_L34_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H55 zenon_H65 zenon_H6d.
% 21.42/21.67 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H55.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H65.
% 21.42/21.67 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 21.42/21.67 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H86. apply refl_equal.
% 21.42/21.67 apply zenon_H85. apply sym_equal. exact zenon_H6d.
% 21.42/21.67 (* end of lemma zenon_L34_ *)
% 21.42/21.67 assert (zenon_L35_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H87 zenon_H55 zenon_H65.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 21.42/21.67 apply (zenon_L34_); trivial.
% 21.42/21.67 (* end of lemma zenon_L35_ *)
% 21.42/21.67 assert (zenon_L36_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((op (e2) (e2)) = (e2)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H89 zenon_H8a.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.42/21.67 exact (zenon_H8b zenon_H8a).
% 21.42/21.67 exact (zenon_H8b zenon_H8a).
% 21.42/21.67 (* end of lemma zenon_L36_ *)
% 21.42/21.67 assert (zenon_L37_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H8c.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H8a. zenon_intro zenon_H8d.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H8a. zenon_intro zenon_H32.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.42/21.67 apply (zenon_L36_); trivial.
% 21.42/21.67 (* end of lemma zenon_L37_ *)
% 21.42/21.67 assert (zenon_L38_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H93 zenon_H65 zenon_H94.
% 21.42/21.67 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 21.42/21.67 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e0)) = (op (e2) (e3)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H94.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H95.
% 21.42/21.67 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 21.42/21.67 cut (((op (e2) (e3)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e0)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H97.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H93.
% 21.42/21.67 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 21.42/21.67 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H96. apply refl_equal.
% 21.42/21.67 apply zenon_H98. apply sym_equal. exact zenon_H65.
% 21.42/21.67 apply zenon_H96. apply refl_equal.
% 21.42/21.67 apply zenon_H96. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L38_ *)
% 21.42/21.67 assert (zenon_L39_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H99 zenon_H65 zenon_H94.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.42/21.67 apply (zenon_L38_); trivial.
% 21.42/21.67 (* end of lemma zenon_L39_ *)
% 21.42/21.67 assert (zenon_L40_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e0) (e0)) = (e0)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H9b zenon_H1e.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.42/21.67 apply (zenon_L1_); trivial.
% 21.42/21.67 (* end of lemma zenon_L40_ *)
% 21.42/21.67 assert (zenon_L41_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H1e zenon_H9f zenon_Ha0.
% 21.42/21.67 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.42/21.67 cut (((e3) = (e3)) = ((e0) = (e3))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Ha0.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Ha1.
% 21.42/21.67 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.67 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e0) (e0)) = (e0)) = ((e3) = (e0))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Ha3.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H1e.
% 21.42/21.67 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.42/21.67 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_Ha4 zenon_H9f).
% 21.42/21.67 apply zenon_H46. apply refl_equal.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L41_ *)
% 21.42/21.67 assert (zenon_L42_ : ((op (e1) (e3)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Ha5 zenon_Ha6 zenon_H5d.
% 21.42/21.67 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H5e | zenon_intro zenon_H5f ].
% 21.42/21.67 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e0)) = (op (e1) (e3)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H5d.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H5e.
% 21.42/21.67 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 21.42/21.67 cut (((op (e1) (e3)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e1) (e3)) = (e3)) = ((op (e1) (e3)) = (op (e1) (e0)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H60.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Ha5.
% 21.42/21.67 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 21.42/21.67 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H5f. apply refl_equal.
% 21.42/21.67 apply zenon_Ha7. apply sym_equal. exact zenon_Ha6.
% 21.42/21.67 apply zenon_H5f. apply refl_equal.
% 21.42/21.67 apply zenon_H5f. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L42_ *)
% 21.42/21.67 assert (zenon_L43_ : ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H65 zenon_Ha8 zenon_Ha9.
% 21.42/21.67 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.42/21.67 cut (((e3) = (e3)) = ((e2) = (e3))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Ha9.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Ha1.
% 21.42/21.67 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.67 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e2) (e0)) = (e2)) = ((e3) = (e2))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Haa.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H65.
% 21.42/21.67 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.42/21.67 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_Hab zenon_Ha8).
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L43_ *)
% 21.42/21.67 assert (zenon_L44_ : ((op (e3) (e1)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Hac zenon_H9d zenon_H7d.
% 21.42/21.67 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 21.42/21.67 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H7d.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Had.
% 21.42/21.67 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 21.42/21.67 cut (((op (e3) (e1)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e0)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Haf.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Hac.
% 21.42/21.67 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 21.42/21.67 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_Hae. apply refl_equal.
% 21.42/21.67 apply zenon_Hb0. apply sym_equal. exact zenon_H9d.
% 21.42/21.67 apply zenon_Hae. apply refl_equal.
% 21.42/21.67 apply zenon_Hae. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L44_ *)
% 21.42/21.67 assert (zenon_L45_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Hb1 zenon_Hb2 zenon_Ha0 zenon_H1e zenon_H5d zenon_Ha9 zenon_H65 zenon_H7d.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.42/21.67 apply (zenon_L41_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.42/21.67 apply (zenon_L42_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.42/21.67 apply (zenon_L43_); trivial.
% 21.42/21.67 apply (zenon_L44_); trivial.
% 21.42/21.67 (* end of lemma zenon_L45_ *)
% 21.42/21.67 assert (zenon_L46_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H3c zenon_Ha6 zenon_Hb6.
% 21.42/21.67 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.42/21.67 cut (((e3) = (e3)) = ((e1) = (e3))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Hb6.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Ha1.
% 21.42/21.67 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.67 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e1) (e0)) = (e1)) = ((e3) = (e1))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Hb7.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H3c.
% 21.42/21.67 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.42/21.67 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hb8].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_Hb8 zenon_Ha6).
% 21.42/21.67 apply zenon_H4a. apply refl_equal.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L46_ *)
% 21.42/21.67 assert (zenon_L47_ : ((op (e2) (e3)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Hb9 zenon_Ha8 zenon_H94.
% 21.42/21.67 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 21.42/21.67 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e0)) = (op (e2) (e3)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H94.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H95.
% 21.42/21.67 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 21.42/21.67 cut (((op (e2) (e3)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e2) (e3)) = (e3)) = ((op (e2) (e3)) = (op (e2) (e0)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H97.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Hb9.
% 21.42/21.67 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 21.42/21.67 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H96. apply refl_equal.
% 21.42/21.67 apply zenon_Hba. apply sym_equal. exact zenon_Ha8.
% 21.42/21.67 apply zenon_H96. apply refl_equal.
% 21.42/21.67 apply zenon_H96. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L47_ *)
% 21.42/21.67 assert (zenon_L48_ : ((op (e3) (e2)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Hbb zenon_H9d zenon_Hbc.
% 21.42/21.67 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ].
% 21.42/21.67 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Hbc.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Hbd.
% 21.42/21.67 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 21.42/21.67 cut (((op (e3) (e2)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e0)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Hbf.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Hbb.
% 21.42/21.67 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 21.42/21.67 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_Hbe. apply refl_equal.
% 21.42/21.67 apply zenon_Hb0. apply sym_equal. exact zenon_H9d.
% 21.42/21.67 apply zenon_Hbe. apply refl_equal.
% 21.42/21.67 apply zenon_Hbe. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L48_ *)
% 21.42/21.67 assert (zenon_L49_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Hc0 zenon_Hb2 zenon_Ha0 zenon_H1e zenon_Hb6 zenon_H3c zenon_H94 zenon_Hbc.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.42/21.67 apply (zenon_L41_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.42/21.67 apply (zenon_L46_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.42/21.67 apply (zenon_L47_); trivial.
% 21.42/21.67 apply (zenon_L48_); trivial.
% 21.42/21.67 (* end of lemma zenon_L49_ *)
% 21.42/21.67 assert (zenon_L50_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Hc2 zenon_Hc3.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.42/21.67 exact (zenon_Hc4 zenon_Hc3).
% 21.42/21.67 exact (zenon_Hc4 zenon_Hc3).
% 21.42/21.67 (* end of lemma zenon_L50_ *)
% 21.42/21.67 assert (zenon_L51_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Hc5.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hc3. zenon_intro zenon_Hc6.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hc3. zenon_intro zenon_H39.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.42/21.67 apply (zenon_L50_); trivial.
% 21.42/21.67 (* end of lemma zenon_L51_ *)
% 21.42/21.67 assert (zenon_L52_ : ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Hcc zenon_H68 zenon_H33 zenon_H4e zenon_H77 zenon_H48 zenon_H82 zenon_H55 zenon_H7d zenon_H65 zenon_Ha9 zenon_H5d zenon_Hbc zenon_H94 zenon_H3c zenon_Hb6 zenon_H1e zenon_Ha0 zenon_Hb2.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.42/21.67 apply (zenon_L2_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.42/21.67 apply (zenon_L26_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.42/21.67 apply (zenon_L28_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.42/21.67 apply (zenon_L8_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.42/21.67 apply (zenon_L9_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.42/21.67 apply (zenon_L11_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.42/21.67 apply (zenon_L16_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.42/21.67 apply (zenon_L33_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.42/21.67 apply (zenon_L19_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.42/21.67 apply (zenon_L35_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.42/21.67 apply (zenon_L37_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.42/21.67 apply (zenon_L39_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.42/21.67 apply (zenon_L40_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.42/21.67 apply (zenon_L45_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.42/21.67 apply (zenon_L49_); trivial.
% 21.42/21.67 apply (zenon_L51_); trivial.
% 21.42/21.67 (* end of lemma zenon_L52_ *)
% 21.42/21.67 assert (zenon_L53_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((e0) = (e3))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H2a zenon_Hdb zenon_Ha0.
% 21.42/21.67 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.42/21.67 cut (((e3) = (e3)) = ((e0) = (e3))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Ha0.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Ha1.
% 21.42/21.67 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.67 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e0) (e1)) = (e0)) = ((e3) = (e0))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Ha3.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H2a.
% 21.42/21.67 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.42/21.67 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_Hdc zenon_Hdb).
% 21.42/21.67 apply zenon_H46. apply refl_equal.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L53_ *)
% 21.42/21.67 assert (zenon_L54_ : (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e0)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H68 zenon_H6d zenon_Hdd.
% 21.42/21.67 cut (((op (e2) (e1)) = (e2)) = ((e0) = (e2))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H68.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H6d.
% 21.42/21.67 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.42/21.67 cut (((op (e2) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hde].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_Hde zenon_Hdd).
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L54_ *)
% 21.42/21.67 assert (zenon_L55_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H3d zenon_Hdb zenon_Hb6.
% 21.42/21.67 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.42/21.67 cut (((e3) = (e3)) = ((e1) = (e3))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Hb6.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Ha1.
% 21.42/21.67 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.67 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e0) (e1)) = (e1)) = ((e3) = (e1))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Hb7.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H3d.
% 21.42/21.67 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.42/21.67 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_Hdc zenon_Hdb).
% 21.42/21.67 apply zenon_H4a. apply refl_equal.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L55_ *)
% 21.42/21.67 assert (zenon_L56_ : (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e1)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H77 zenon_H6d zenon_H53.
% 21.42/21.67 cut (((op (e2) (e1)) = (e2)) = ((e1) = (e2))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H77.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H6d.
% 21.42/21.67 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.42/21.67 cut (((op (e2) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_Hdf zenon_H53).
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L56_ *)
% 21.42/21.67 assert (zenon_L57_ : (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H48 zenon_H7f zenon_He0.
% 21.42/21.67 cut (((op (e3) (e1)) = (e1)) = ((e0) = (e1))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H48.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H7f.
% 21.42/21.67 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.42/21.67 cut (((op (e3) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_He1].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_He1 zenon_He0).
% 21.42/21.67 apply zenon_H4a. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L57_ *)
% 21.42/21.67 assert (zenon_L58_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_He2 zenon_Ha0 zenon_He3 zenon_H68 zenon_He4 zenon_Hb6 zenon_Hdb zenon_H40 zenon_H6d zenon_H77 zenon_H48.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.42/21.67 apply (zenon_L53_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.42/21.67 exact (zenon_He3 zenon_He7).
% 21.42/21.67 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.42/21.67 apply (zenon_L54_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.42/21.67 apply (zenon_L55_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.42/21.67 exact (zenon_H40 zenon_H3f).
% 21.42/21.67 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.42/21.67 apply (zenon_L56_); trivial.
% 21.42/21.67 apply (zenon_L57_); trivial.
% 21.42/21.67 (* end of lemma zenon_L58_ *)
% 21.42/21.67 assert (zenon_L59_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H4d zenon_H72 zenon_H77.
% 21.42/21.67 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 21.42/21.67 cut (((e2) = (e2)) = ((e1) = (e2))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H77.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H69.
% 21.42/21.67 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.42/21.67 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e1) (e2)) = (e1)) = ((e2) = (e1))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H78.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H4d.
% 21.42/21.67 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.42/21.67 cut (((op (e1) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_Hea zenon_H72).
% 21.42/21.67 apply zenon_H4a. apply refl_equal.
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L59_ *)
% 21.42/21.67 assert (zenon_L60_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Heb zenon_H48 zenon_H25 zenon_H40 zenon_H77 zenon_H72 zenon_Hec.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.42/21.67 apply (zenon_L25_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.42/21.67 exact (zenon_H40 zenon_H3f).
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.42/21.67 apply (zenon_L59_); trivial.
% 21.42/21.67 exact (zenon_Hec zenon_H5c).
% 21.42/21.67 (* end of lemma zenon_L60_ *)
% 21.42/21.67 assert (zenon_L61_ : ((op (e2) (e1)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H6d zenon_Hef zenon_Hf0.
% 21.42/21.67 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H56 | zenon_intro zenon_H57 ].
% 21.42/21.67 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Hf0.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H56.
% 21.42/21.67 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 21.42/21.67 cut (((op (e2) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e1) (e1)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Hf1.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H6d.
% 21.42/21.67 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 21.42/21.67 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H57. apply refl_equal.
% 21.42/21.67 apply zenon_Hf2. apply sym_equal. exact zenon_Hef.
% 21.42/21.67 apply zenon_H57. apply refl_equal.
% 21.42/21.67 apply zenon_H57. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L61_ *)
% 21.42/21.67 assert (zenon_L62_ : (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H68 zenon_H72 zenon_Hf3.
% 21.42/21.67 cut (((op (e1) (e2)) = (e2)) = ((e0) = (e2))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H68.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H72.
% 21.42/21.67 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.42/21.67 cut (((op (e1) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hf4].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_Hf4 zenon_Hf3).
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L62_ *)
% 21.42/21.67 assert (zenon_L63_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Hf5 zenon_Hf6 zenon_Hf7.
% 21.42/21.67 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Hf5.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Hf6.
% 21.42/21.67 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 21.42/21.67 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_Hf9. apply refl_equal.
% 21.42/21.67 apply zenon_Hf8. apply sym_equal. exact zenon_Hf7.
% 21.42/21.67 (* end of lemma zenon_L63_ *)
% 21.42/21.67 assert (zenon_L64_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Hfa zenon_H77 zenon_H3c zenon_Hf0 zenon_H6d zenon_Hf3 zenon_H68 zenon_Hf5 zenon_Hf6.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.42/21.67 apply (zenon_L24_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.42/21.67 apply (zenon_L61_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.42/21.67 apply (zenon_L62_); trivial.
% 21.42/21.67 apply (zenon_L63_); trivial.
% 21.42/21.67 (* end of lemma zenon_L64_ *)
% 21.42/21.67 assert (zenon_L65_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H2a zenon_H3d zenon_H48.
% 21.42/21.67 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H49 | zenon_intro zenon_H4a ].
% 21.42/21.67 cut (((e1) = (e1)) = ((e0) = (e1))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H48.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H49.
% 21.42/21.67 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.42/21.67 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e0) (e1)) = (e0)) = ((e1) = (e0))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H4b.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H2a.
% 21.42/21.67 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.42/21.67 cut (((op (e0) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hfd].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_Hfd zenon_H3d).
% 21.42/21.67 apply zenon_H46. apply refl_equal.
% 21.42/21.67 apply zenon_H4a. apply refl_equal.
% 21.42/21.67 apply zenon_H4a. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L65_ *)
% 21.42/21.67 assert (zenon_L66_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Heb zenon_Hb6 zenon_Ha6 zenon_H40 zenon_H77 zenon_H72 zenon_Hec.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.42/21.67 apply (zenon_L46_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.42/21.67 exact (zenon_H40 zenon_H3f).
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.42/21.67 apply (zenon_L59_); trivial.
% 21.42/21.67 exact (zenon_Hec zenon_H5c).
% 21.42/21.67 (* end of lemma zenon_L66_ *)
% 21.42/21.67 assert (zenon_L67_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H2d zenon_Ha8 zenon_Ha0.
% 21.42/21.67 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.42/21.67 cut (((e3) = (e3)) = ((e0) = (e3))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Ha0.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Ha1.
% 21.42/21.67 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.67 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e2) (e0)) = (e0)) = ((e3) = (e0))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Ha3.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H2d.
% 21.42/21.67 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.42/21.67 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_Hab zenon_Ha8).
% 21.42/21.67 apply zenon_H46. apply refl_equal.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L67_ *)
% 21.42/21.67 assert (zenon_L68_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H31 zenon_Hfe zenon_Ha0.
% 21.42/21.67 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.42/21.67 cut (((e3) = (e3)) = ((e0) = (e3))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Ha0.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Ha1.
% 21.42/21.67 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.67 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e0) (e2)) = (e0)) = ((e3) = (e0))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Ha3.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H31.
% 21.42/21.67 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.42/21.67 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hff].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_Hff zenon_Hfe).
% 21.42/21.67 apply zenon_H46. apply refl_equal.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L68_ *)
% 21.42/21.67 assert (zenon_L69_ : (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H100 zenon_H3c zenon_H54.
% 21.42/21.67 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e2) (e0)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H100.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H3c.
% 21.42/21.67 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 21.42/21.67 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H101].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H101. apply refl_equal.
% 21.42/21.67 apply zenon_H59. apply sym_equal. exact zenon_H54.
% 21.42/21.67 (* end of lemma zenon_L69_ *)
% 21.42/21.67 assert (zenon_L70_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Heb zenon_H54 zenon_H100 zenon_H40 zenon_H77 zenon_H72 zenon_Hec.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.42/21.67 apply (zenon_L69_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.42/21.67 exact (zenon_H40 zenon_H3f).
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.42/21.67 apply (zenon_L59_); trivial.
% 21.42/21.67 exact (zenon_Hec zenon_H5c).
% 21.42/21.67 (* end of lemma zenon_L70_ *)
% 21.42/21.67 assert (zenon_L71_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H7e zenon_H102 zenon_H77.
% 21.42/21.67 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 21.42/21.67 cut (((e2) = (e2)) = ((e1) = (e2))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H77.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H69.
% 21.42/21.67 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.42/21.67 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e3) (e0)) = (e1)) = ((e2) = (e1))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H78.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H7e.
% 21.42/21.67 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.42/21.67 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H103].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_H103 zenon_H102).
% 21.42/21.67 apply zenon_H4a. apply refl_equal.
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L71_ *)
% 21.42/21.67 assert (zenon_L72_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H104 zenon_H105 zenon_H106.
% 21.42/21.67 cut (((op (e2) (e2)) = (e1)) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H104.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H105.
% 21.42/21.67 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 21.42/21.67 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H108. apply refl_equal.
% 21.42/21.67 apply zenon_H107. apply sym_equal. exact zenon_H106.
% 21.42/21.67 (* end of lemma zenon_L72_ *)
% 21.42/21.67 assert (zenon_L73_ : ((op (e3) (e0)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H9d zenon_Ha8 zenon_H109.
% 21.42/21.67 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H10a | zenon_intro zenon_H81 ].
% 21.42/21.67 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H109.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H10a.
% 21.42/21.67 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 21.42/21.67 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H10b].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e2) (e0)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H10b.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H9d.
% 21.42/21.67 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 21.42/21.67 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H81. apply refl_equal.
% 21.42/21.67 apply zenon_Hba. apply sym_equal. exact zenon_Ha8.
% 21.42/21.67 apply zenon_H81. apply refl_equal.
% 21.42/21.67 apply zenon_H81. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L73_ *)
% 21.42/21.67 assert (zenon_L74_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Hf0 zenon_H10c zenon_H10d.
% 21.42/21.67 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Hf0.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H10c.
% 21.42/21.67 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10e].
% 21.42/21.67 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H10f. apply refl_equal.
% 21.42/21.67 apply zenon_H10e. apply sym_equal. exact zenon_H10d.
% 21.42/21.67 (* end of lemma zenon_L74_ *)
% 21.42/21.67 assert (zenon_L75_ : ((op (e2) (e2)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H110 zenon_Hfe zenon_H111.
% 21.42/21.67 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H112 | zenon_intro zenon_H108 ].
% 21.42/21.67 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H111.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H112.
% 21.42/21.67 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 21.42/21.67 cut (((op (e2) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H113].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e0) (e2)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H113.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H110.
% 21.42/21.67 cut (((e3) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 21.42/21.67 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H108. apply refl_equal.
% 21.42/21.67 apply zenon_H114. apply sym_equal. exact zenon_Hfe.
% 21.42/21.67 apply zenon_H108. apply refl_equal.
% 21.42/21.67 apply zenon_H108. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L75_ *)
% 21.42/21.67 assert (zenon_L76_ : (~((e3) = (e3))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Ha2.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L76_ *)
% 21.42/21.67 assert (zenon_L77_ : (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> ((op (e2) (e3)) = (e0)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Ha0 zenon_Hb9 zenon_H115.
% 21.42/21.67 cut (((op (e2) (e3)) = (e3)) = ((e0) = (e3))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Ha0.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Hb9.
% 21.42/21.67 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.67 cut (((op (e2) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H116].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_H116 zenon_H115).
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L77_ *)
% 21.42/21.67 assert (zenon_L78_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H117 zenon_H109 zenon_H9d zenon_H10c zenon_Hf0 zenon_H111 zenon_Hfe zenon_Ha0 zenon_H115.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.42/21.67 apply (zenon_L73_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.42/21.67 apply (zenon_L74_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.42/21.67 apply (zenon_L75_); trivial.
% 21.42/21.67 apply (zenon_L77_); trivial.
% 21.42/21.67 (* end of lemma zenon_L78_ *)
% 21.42/21.67 assert (zenon_L79_ : ((op (e3) (e1)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Hac zenon_H10c zenon_H11a.
% 21.42/21.67 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 21.42/21.67 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H11a.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Had.
% 21.42/21.67 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 21.42/21.67 cut (((op (e3) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H11b].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e1) (e1)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H11b.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Hac.
% 21.42/21.67 cut (((e3) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H11c].
% 21.42/21.67 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_Hae. apply refl_equal.
% 21.42/21.67 apply zenon_H11c. apply sym_equal. exact zenon_H10c.
% 21.42/21.67 apply zenon_Hae. apply refl_equal.
% 21.42/21.67 apply zenon_Hae. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L79_ *)
% 21.42/21.67 assert (zenon_L80_ : (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e0)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Ha0 zenon_Hbb zenon_H11d.
% 21.42/21.67 cut (((op (e3) (e2)) = (e3)) = ((e0) = (e3))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Ha0.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Hbb.
% 21.42/21.67 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.67 cut (((op (e3) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H11e].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_H11e zenon_H11d).
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L80_ *)
% 21.42/21.67 assert (zenon_L81_ : (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> ((op (e3) (e3)) = (e1)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Hb6 zenon_Hc3 zenon_H11f.
% 21.42/21.67 cut (((op (e3) (e3)) = (e3)) = ((e1) = (e3))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Hb6.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Hc3.
% 21.42/21.67 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.67 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H120].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_H120 zenon_H11f).
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L81_ *)
% 21.42/21.67 assert (zenon_L82_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (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)) = (e3)) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e1)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H121 zenon_H115 zenon_Hfe zenon_H111 zenon_Hf0 zenon_H109 zenon_H117 zenon_H11a zenon_H10c zenon_H11d zenon_Ha0 zenon_Hb6 zenon_H11f.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.42/21.67 apply (zenon_L78_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.42/21.67 apply (zenon_L79_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.42/21.67 apply (zenon_L80_); trivial.
% 21.42/21.67 apply (zenon_L81_); trivial.
% 21.42/21.67 (* end of lemma zenon_L82_ *)
% 21.42/21.67 assert (zenon_L83_ : ((op (e1) (e2)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H72 zenon_H76 zenon_H4e.
% 21.42/21.67 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H4f | zenon_intro zenon_H50 ].
% 21.42/21.67 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H4e.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H4f.
% 21.42/21.67 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.42/21.67 cut (((op (e1) (e2)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e1) (e0)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H51.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H72.
% 21.42/21.67 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 21.42/21.67 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H50. apply refl_equal.
% 21.42/21.67 apply zenon_H124. apply sym_equal. exact zenon_H76.
% 21.42/21.67 apply zenon_H50. apply refl_equal.
% 21.42/21.67 apply zenon_H50. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L83_ *)
% 21.42/21.67 assert (zenon_L84_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H125 zenon_H68 zenon_H1e zenon_H4e zenon_H72 zenon_H55 zenon_H87 zenon_H7e zenon_H77.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.42/21.67 apply (zenon_L20_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.42/21.67 apply (zenon_L83_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.42/21.67 apply (zenon_L35_); trivial.
% 21.42/21.67 apply (zenon_L71_); trivial.
% 21.42/21.67 (* end of lemma zenon_L84_ *)
% 21.42/21.67 assert (zenon_L85_ : ((op (e3) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H11f zenon_H128 zenon_H129.
% 21.42/21.67 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.42/21.67 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H129.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H12a.
% 21.42/21.67 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.42/21.67 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12c].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e2) (e3)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H12c.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H11f.
% 21.42/21.67 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 21.42/21.67 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H12b. apply refl_equal.
% 21.42/21.67 apply zenon_H12d. apply sym_equal. exact zenon_H128.
% 21.42/21.67 apply zenon_H12b. apply refl_equal.
% 21.42/21.67 apply zenon_H12b. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L85_ *)
% 21.42/21.67 assert (zenon_L86_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H12e zenon_H77 zenon_H87 zenon_H55 zenon_H72 zenon_H4e zenon_H1e zenon_H68 zenon_H125 zenon_He0 zenon_H48 zenon_H105 zenon_H104 zenon_H128 zenon_H129.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.42/21.67 apply (zenon_L84_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.42/21.67 apply (zenon_L57_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.42/21.67 apply (zenon_L72_); trivial.
% 21.42/21.67 apply (zenon_L85_); trivial.
% 21.42/21.67 (* end of lemma zenon_L86_ *)
% 21.42/21.67 assert (zenon_L87_ : (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H131 zenon_H72 zenon_H8a.
% 21.42/21.67 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H131.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H72.
% 21.42/21.67 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 21.42/21.67 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H50. apply refl_equal.
% 21.42/21.67 apply zenon_H132. apply sym_equal. exact zenon_H8a.
% 21.42/21.67 (* end of lemma zenon_L87_ *)
% 21.42/21.67 assert (zenon_L88_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H87 zenon_H131 zenon_H8a.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 21.42/21.67 apply (zenon_L87_); trivial.
% 21.42/21.67 (* end of lemma zenon_L88_ *)
% 21.42/21.67 assert (zenon_L89_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H73 zenon_Hfe zenon_H133.
% 21.42/21.67 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H73.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Hfe.
% 21.42/21.67 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 21.42/21.67 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H135. apply refl_equal.
% 21.42/21.67 apply zenon_H134. apply sym_equal. exact zenon_H133.
% 21.42/21.67 (* end of lemma zenon_L89_ *)
% 21.42/21.67 assert (zenon_L90_ : (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e1) (e3)) = (e0)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Ha0 zenon_Ha5 zenon_H136.
% 21.42/21.67 cut (((op (e1) (e3)) = (e3)) = ((e0) = (e3))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Ha0.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Ha5.
% 21.42/21.67 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.67 cut (((op (e1) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H137].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_H137 zenon_H136).
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L90_ *)
% 21.42/21.67 assert (zenon_L91_ : (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e2)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Ha9 zenon_H9d zenon_H102.
% 21.42/21.67 cut (((op (e3) (e0)) = (e3)) = ((e2) = (e3))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Ha9.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H9d.
% 21.42/21.67 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.67 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H103].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_H103 zenon_H102).
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L91_ *)
% 21.42/21.67 assert (zenon_L92_ : (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e0) (e3)) = (e2)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Ha9 zenon_H9e zenon_Hf6.
% 21.42/21.67 cut (((op (e0) (e3)) = (e3)) = ((e2) = (e3))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Ha9.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H9e.
% 21.42/21.67 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.67 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H138].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_H138 zenon_Hf6).
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L92_ *)
% 21.42/21.67 assert (zenon_L93_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (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)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H139 zenon_H6f zenon_H94 zenon_Hbc zenon_H5d zenon_H7d zenon_H82 zenon_H33 zenon_Hcc zenon_H13a zenon_He4 zenon_H13b zenon_He2 zenon_H3d zenon_He3 zenon_H13c zenon_H111 zenon_H87 zenon_H131 zenon_H12e zenon_H77 zenon_H55 zenon_H72 zenon_H4e zenon_H1e zenon_H68 zenon_H125 zenon_H48 zenon_H104 zenon_H129 zenon_H13d zenon_H13e zenon_H121 zenon_Hf0 zenon_H109 zenon_H117 zenon_H11a zenon_Hb6 zenon_H6d zenon_Heb zenon_H100 zenon_H40 zenon_Hec zenon_H13f zenon_Hfa zenon_H3c zenon_Hf5 zenon_H140 zenon_H141 zenon_H73 zenon_Ha0 zenon_Hb2 zenon_Ha9.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.42/21.67 apply (zenon_L20_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.42/21.67 apply (zenon_L21_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.42/21.67 apply (zenon_L22_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.42/21.67 apply (zenon_L20_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.42/21.67 apply (zenon_L24_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.42/21.67 apply (zenon_L52_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.42/21.67 apply (zenon_L41_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.42/21.67 apply (zenon_L58_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.42/21.67 apply (zenon_L41_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.42/21.67 apply (zenon_L46_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.42/21.67 apply (zenon_L60_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.42/21.67 exact (zenon_He3 zenon_He7).
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.42/21.67 apply (zenon_L64_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.42/21.67 apply (zenon_L65_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.42/21.67 exact (zenon_He3 zenon_He7).
% 21.42/21.67 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.42/21.67 apply (zenon_L54_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.42/21.67 apply (zenon_L66_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.42/21.67 apply (zenon_L67_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.42/21.67 apply (zenon_L54_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.42/21.67 exact (zenon_H13d zenon_H14c).
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.42/21.67 apply (zenon_L68_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.42/21.67 apply (zenon_L64_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.42/21.67 exact (zenon_H13d zenon_H14c).
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.42/21.67 apply (zenon_L70_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.42/21.67 apply (zenon_L56_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.42/21.67 apply (zenon_L71_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.42/21.67 apply (zenon_L57_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.42/21.67 apply (zenon_L72_); trivial.
% 21.42/21.67 apply (zenon_L82_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H14c | zenon_intro zenon_H151 ].
% 21.42/21.67 exact (zenon_H13d zenon_H14c).
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H105 | zenon_intro zenon_H152 ].
% 21.42/21.67 apply (zenon_L86_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H110 ].
% 21.42/21.67 apply (zenon_L88_); trivial.
% 21.42/21.67 apply (zenon_L75_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.42/21.67 apply (zenon_L89_); trivial.
% 21.42/21.67 apply (zenon_L90_); trivial.
% 21.42/21.67 apply (zenon_L91_); trivial.
% 21.42/21.67 apply (zenon_L92_); trivial.
% 21.42/21.67 (* end of lemma zenon_L93_ *)
% 21.42/21.67 assert (zenon_L94_ : (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H77 zenon_H66 zenon_H153.
% 21.42/21.67 cut (((op (e0) (e2)) = (e2)) = ((e1) = (e2))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H77.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H66.
% 21.42/21.67 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.42/21.67 cut (((op (e0) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_H154 zenon_H153).
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L94_ *)
% 21.42/21.67 assert (zenon_L95_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H153 zenon_Hfe zenon_Hb6.
% 21.42/21.67 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.42/21.67 cut (((e3) = (e3)) = ((e1) = (e3))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Hb6.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Ha1.
% 21.42/21.67 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.67 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e0) (e2)) = (e1)) = ((e3) = (e1))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Hb7.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H153.
% 21.42/21.67 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.42/21.67 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hff].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_Hff zenon_Hfe).
% 21.42/21.67 apply zenon_H4a. apply refl_equal.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L95_ *)
% 21.42/21.67 assert (zenon_L96_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H13a zenon_H1e zenon_H48 zenon_H77 zenon_H6d zenon_H40 zenon_He4 zenon_H68 zenon_He3 zenon_Ha0 zenon_He2 zenon_Hb6 zenon_H153 zenon_Ha9 zenon_Hf6.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.42/21.67 apply (zenon_L41_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.42/21.67 apply (zenon_L58_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.42/21.67 apply (zenon_L95_); trivial.
% 21.42/21.67 apply (zenon_L92_); trivial.
% 21.42/21.67 (* end of lemma zenon_L96_ *)
% 21.42/21.67 assert (zenon_L97_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H139 zenon_H6f zenon_H13a zenon_H1e zenon_H48 zenon_H77 zenon_H6d zenon_H40 zenon_He4 zenon_H68 zenon_He3 zenon_Ha0 zenon_He2 zenon_Hb6 zenon_H153 zenon_Ha9.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.42/21.67 apply (zenon_L20_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.42/21.67 apply (zenon_L21_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.42/21.67 apply (zenon_L94_); trivial.
% 21.42/21.67 apply (zenon_L96_); trivial.
% 21.42/21.67 (* end of lemma zenon_L97_ *)
% 21.42/21.67 assert (zenon_L98_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e2))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H155 zenon_Hf6 zenon_H77.
% 21.42/21.67 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 21.42/21.67 cut (((e2) = (e2)) = ((e1) = (e2))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H77.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H69.
% 21.42/21.67 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.42/21.67 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e0) (e3)) = (e1)) = ((e2) = (e1))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H78.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H155.
% 21.42/21.67 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.42/21.67 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H138].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_H138 zenon_Hf6).
% 21.42/21.67 apply zenon_H4a. apply refl_equal.
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 apply zenon_H6a. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L98_ *)
% 21.42/21.67 assert (zenon_L99_ : (((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 (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H139 zenon_H68 zenon_H1e zenon_H6f zenon_H6d zenon_H73 zenon_H72 zenon_H155 zenon_H77.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.42/21.67 apply (zenon_L20_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.42/21.67 apply (zenon_L21_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.42/21.67 apply (zenon_L22_); trivial.
% 21.42/21.67 apply (zenon_L98_); trivial.
% 21.42/21.67 (* end of lemma zenon_L99_ *)
% 21.42/21.67 assert (zenon_L100_ : ((op (e1) (e2)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H72 zenon_Hef zenon_H156.
% 21.42/21.67 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H4f | zenon_intro zenon_H50 ].
% 21.42/21.67 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e1)) = (op (e1) (e2)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H156.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H4f.
% 21.42/21.67 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.42/21.67 cut (((op (e1) (e2)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H157].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e1) (e1)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H157.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H72.
% 21.42/21.67 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 21.42/21.67 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H50. apply refl_equal.
% 21.42/21.67 apply zenon_Hf2. apply sym_equal. exact zenon_Hef.
% 21.42/21.67 apply zenon_H50. apply refl_equal.
% 21.42/21.67 apply zenon_H50. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L100_ *)
% 21.42/21.67 assert (zenon_L101_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H158 zenon_He3 zenon_H40 zenon_H156 zenon_H72 zenon_H159.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_He7 | zenon_intro zenon_H15a ].
% 21.42/21.67 exact (zenon_He3 zenon_He7).
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H3f | zenon_intro zenon_H15b ].
% 21.42/21.67 exact (zenon_H40 zenon_H3f).
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Hef | zenon_intro zenon_H10c ].
% 21.42/21.67 apply (zenon_L100_); trivial.
% 21.42/21.67 exact (zenon_H159 zenon_H10c).
% 21.42/21.67 (* end of lemma zenon_L101_ *)
% 21.42/21.67 assert (zenon_L102_ : ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H3e zenon_He3 zenon_H156 zenon_H72 zenon_H159 zenon_H158.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 21.42/21.67 apply (zenon_L101_); trivial.
% 21.42/21.67 apply (zenon_L101_); trivial.
% 21.42/21.67 (* end of lemma zenon_L102_ *)
% 21.42/21.67 assert (zenon_L103_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H15c zenon_H158 zenon_H156 zenon_H3e zenon_H48 zenon_H1e zenon_H139 zenon_H77 zenon_H3c zenon_Hcc zenon_Hbc zenon_Hb6 zenon_Hb2 zenon_Ha9 zenon_Ha0 zenon_H94 zenon_H55 zenon_H82 zenon_H7d zenon_H5d zenon_H4e zenon_H33 zenon_H13a zenon_H13b zenon_H13c zenon_H13d zenon_H140 zenon_H100 zenon_H12e zenon_H117 zenon_H111 zenon_H109 zenon_H11a zenon_H121 zenon_H104 zenon_H13e zenon_H131 zenon_H125 zenon_H87 zenon_H129 zenon_H13f zenon_H141 zenon_Hf0 zenon_Hf5 zenon_Hfa zenon_Heb zenon_He3 zenon_He4 zenon_H40 zenon_He2 zenon_H72 zenon_H73 zenon_H6d zenon_H6f zenon_H68 zenon_H15d.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.42/21.67 apply (zenon_L13_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.42/21.67 apply (zenon_L93_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.42/21.67 apply (zenon_L97_); trivial.
% 21.42/21.67 apply (zenon_L99_); trivial.
% 21.42/21.67 apply (zenon_L102_); trivial.
% 21.42/21.67 (* end of lemma zenon_L103_ *)
% 21.42/21.67 assert (zenon_L104_ : ((op (e3) (e2)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H160 zenon_H102 zenon_Hbc.
% 21.42/21.67 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ].
% 21.42/21.67 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Hbc.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Hbd.
% 21.42/21.67 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 21.42/21.67 cut (((op (e3) (e2)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 21.42/21.67 congruence.
% 21.42/21.67 cut (((op (e3) (e2)) = (e2)) = ((op (e3) (e2)) = (op (e3) (e0)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Hbf.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_H160.
% 21.42/21.67 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H161].
% 21.42/21.67 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_Hbe. apply refl_equal.
% 21.42/21.67 apply zenon_H161. apply sym_equal. exact zenon_H102.
% 21.42/21.67 apply zenon_Hbe. apply refl_equal.
% 21.42/21.67 apply zenon_Hbe. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L104_ *)
% 21.42/21.67 assert (zenon_L105_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H125 zenon_H68 zenon_H1e zenon_H77 zenon_H3c zenon_H94 zenon_H93 zenon_H160 zenon_Hbc.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.42/21.67 apply (zenon_L20_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.42/21.67 apply (zenon_L24_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.42/21.67 apply (zenon_L38_); trivial.
% 21.42/21.67 apply (zenon_L104_); trivial.
% 21.42/21.67 (* end of lemma zenon_L105_ *)
% 21.42/21.67 assert (zenon_L106_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H99 zenon_H125 zenon_H68 zenon_H1e zenon_H77 zenon_H3c zenon_H94 zenon_Hbc.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 21.42/21.67 apply (zenon_L105_); trivial.
% 21.42/21.67 (* end of lemma zenon_L106_ *)
% 21.42/21.67 assert (zenon_L107_ : (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_Ha0 zenon_Hac zenon_He0.
% 21.42/21.67 cut (((op (e3) (e1)) = (e3)) = ((e0) = (e3))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Ha0.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Hac.
% 21.42/21.67 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.67 cut (((op (e3) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_He1].
% 21.42/21.67 congruence.
% 21.42/21.67 exact (zenon_He1 zenon_He0).
% 21.42/21.67 apply zenon_Ha2. apply refl_equal.
% 21.42/21.67 (* end of lemma zenon_L107_ *)
% 21.42/21.67 assert (zenon_L108_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H13b zenon_H24 zenon_He3 zenon_H162 zenon_H163 zenon_Hac zenon_H33 zenon_H1e zenon_H164 zenon_Ha0 zenon_Ha5.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.42/21.67 apply (zenon_L3_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.42/21.67 exact (zenon_He3 zenon_He7).
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.42/21.67 apply (zenon_L7_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.42/21.67 apply (zenon_L107_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.42/21.67 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_H163.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Hf3.
% 21.42/21.67 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H168].
% 21.42/21.67 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.42/21.67 congruence.
% 21.42/21.67 apply zenon_H50. apply refl_equal.
% 21.42/21.67 apply zenon_H168. apply sym_equal. exact zenon_H11d.
% 21.42/21.67 exact (zenon_H162 zenon_H167).
% 21.42/21.67 apply (zenon_L90_); trivial.
% 21.42/21.67 (* end of lemma zenon_L108_ *)
% 21.42/21.67 assert (zenon_L109_ : (~((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 (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H2c zenon_H15d zenon_H6f zenon_H73 zenon_He2 zenon_He4 zenon_Heb zenon_Hfa zenon_Hf5 zenon_Hf0 zenon_H141 zenon_H13f zenon_H129 zenon_H131 zenon_H13e zenon_H104 zenon_H121 zenon_H11a zenon_H109 zenon_H111 zenon_H117 zenon_H12e zenon_H100 zenon_H140 zenon_H13d zenon_H13c zenon_H13a zenon_H4e zenon_H5d zenon_H7d zenon_H82 zenon_H55 zenon_Ha9 zenon_Hcc zenon_H139 zenon_H48 zenon_H156 zenon_H158 zenon_H77 zenon_H68 zenon_H125 zenon_H13b zenon_H33 zenon_H163 zenon_H162 zenon_H164 zenon_H24 zenon_Hbc zenon_H94 zenon_H3c zenon_Hb6 zenon_H1e zenon_Ha0 zenon_Hb2.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.42/21.67 apply (zenon_L2_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.42/21.67 apply (zenon_L4_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.42/21.67 apply (zenon_L6_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.42/21.67 apply (zenon_L8_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.42/21.67 apply (zenon_L9_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.42/21.67 apply (zenon_L11_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.42/21.67 apply (zenon_L16_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.42/21.67 apply (zenon_L18_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.42/21.67 apply (zenon_L19_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 21.42/21.67 exact (zenon_H7a zenon_H3c).
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 21.42/21.67 apply (zenon_L103_); trivial.
% 21.42/21.67 apply (zenon_L103_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.42/21.67 apply (zenon_L37_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.42/21.67 apply (zenon_L106_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.42/21.67 apply (zenon_L40_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.42/21.67 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 21.42/21.67 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 21.42/21.67 exact (zenon_H7a zenon_H3c).
% 21.42/21.67 apply (zenon_L108_); trivial.
% 21.42/21.67 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.42/21.67 apply (zenon_L49_); trivial.
% 21.42/21.67 apply (zenon_L51_); trivial.
% 21.42/21.67 (* end of lemma zenon_L109_ *)
% 21.42/21.67 assert (zenon_L110_ : ((op (e0) (e1)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (e3))) -> False).
% 21.42/21.67 do 0 intro. intros zenon_H6e zenon_Hdb zenon_Ha9.
% 21.42/21.67 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.42/21.67 cut (((e3) = (e3)) = ((e2) = (e3))).
% 21.42/21.67 intro zenon_D_pnotp.
% 21.42/21.67 apply zenon_Ha9.
% 21.42/21.67 rewrite <- zenon_D_pnotp.
% 21.42/21.67 exact zenon_Ha1.
% 21.42/21.67 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.68 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 21.42/21.68 congruence.
% 21.42/21.68 cut (((op (e0) (e1)) = (e2)) = ((e3) = (e2))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_Haa.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H6e.
% 21.42/21.68 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.42/21.68 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 21.42/21.68 congruence.
% 21.42/21.68 exact (zenon_Hdc zenon_Hdb).
% 21.42/21.68 apply zenon_H6a. apply refl_equal.
% 21.42/21.68 apply zenon_Ha2. apply refl_equal.
% 21.42/21.68 apply zenon_Ha2. apply refl_equal.
% 21.42/21.68 (* end of lemma zenon_L110_ *)
% 21.42/21.68 assert (zenon_L111_ : (~((e0) = (e1))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e0)) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H48 zenon_H53 zenon_Hdd.
% 21.42/21.68 cut (((op (e2) (e1)) = (e1)) = ((e0) = (e1))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H48.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H53.
% 21.42/21.68 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.42/21.68 cut (((op (e2) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hde].
% 21.42/21.68 congruence.
% 21.42/21.68 exact (zenon_Hde zenon_Hdd).
% 21.42/21.68 apply zenon_H4a. apply refl_equal.
% 21.42/21.68 (* end of lemma zenon_L111_ *)
% 21.42/21.68 assert (zenon_L112_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H16a zenon_Ha9 zenon_Ha8 zenon_H53 zenon_H77 zenon_H8b zenon_H16b.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.42/21.68 apply (zenon_L43_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.42/21.68 apply (zenon_L56_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.42/21.68 exact (zenon_H8b zenon_H8a).
% 21.42/21.68 exact (zenon_H16b zenon_H93).
% 21.42/21.68 (* end of lemma zenon_L112_ *)
% 21.42/21.68 assert (zenon_L113_ : ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H53 zenon_H10d zenon_Hb6.
% 21.42/21.68 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.42/21.68 cut (((e3) = (e3)) = ((e1) = (e3))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_Hb6.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_Ha1.
% 21.42/21.68 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.68 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 21.42/21.68 congruence.
% 21.42/21.68 cut (((op (e2) (e1)) = (e1)) = ((e3) = (e1))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_Hb7.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H53.
% 21.42/21.68 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.42/21.68 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 21.42/21.68 congruence.
% 21.42/21.68 exact (zenon_H16e zenon_H10d).
% 21.42/21.68 apply zenon_H4a. apply refl_equal.
% 21.42/21.68 apply zenon_Ha2. apply refl_equal.
% 21.42/21.68 apply zenon_Ha2. apply refl_equal.
% 21.42/21.68 (* end of lemma zenon_L113_ *)
% 21.42/21.68 assert (zenon_L114_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H141 zenon_H1e zenon_H2c zenon_H48 zenon_H13d zenon_H117 zenon_H16b zenon_H8b zenon_H77 zenon_Ha9 zenon_H16a zenon_Hb6 zenon_H53 zenon_H111 zenon_Hfe zenon_Ha0.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.42/21.68 apply (zenon_L5_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.42/21.68 apply (zenon_L111_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.42/21.68 exact (zenon_H13d zenon_H14c).
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.42/21.68 apply (zenon_L112_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.42/21.68 apply (zenon_L113_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.42/21.68 apply (zenon_L75_); trivial.
% 21.42/21.68 apply (zenon_L77_); trivial.
% 21.42/21.68 (* end of lemma zenon_L114_ *)
% 21.42/21.68 assert (zenon_L115_ : (~((e1) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> False).
% 21.42/21.68 do 0 intro. intros zenon_Hb6 zenon_H9e zenon_H155.
% 21.42/21.68 cut (((op (e0) (e3)) = (e3)) = ((e1) = (e3))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_Hb6.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H9e.
% 21.42/21.68 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.68 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 21.42/21.68 congruence.
% 21.42/21.68 exact (zenon_H16f zenon_H155).
% 21.42/21.68 apply zenon_Ha2. apply refl_equal.
% 21.42/21.68 (* end of lemma zenon_L115_ *)
% 21.42/21.68 assert (zenon_L116_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H25 zenon_Ha6 zenon_Ha0.
% 21.42/21.68 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.42/21.68 cut (((e3) = (e3)) = ((e0) = (e3))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_Ha0.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_Ha1.
% 21.42/21.68 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.68 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 21.42/21.68 congruence.
% 21.42/21.68 cut (((op (e1) (e0)) = (e0)) = ((e3) = (e0))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_Ha3.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H25.
% 21.42/21.68 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.42/21.68 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hb8].
% 21.42/21.68 congruence.
% 21.42/21.68 exact (zenon_Hb8 zenon_Ha6).
% 21.42/21.68 apply zenon_H46. apply refl_equal.
% 21.42/21.68 apply zenon_Ha2. apply refl_equal.
% 21.42/21.68 apply zenon_Ha2. apply refl_equal.
% 21.42/21.68 (* end of lemma zenon_L116_ *)
% 21.42/21.68 assert (zenon_L117_ : (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H48 zenon_H4d zenon_Hf3.
% 21.42/21.68 cut (((op (e1) (e2)) = (e1)) = ((e0) = (e1))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H48.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H4d.
% 21.42/21.68 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.42/21.68 cut (((op (e1) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hf4].
% 21.42/21.68 congruence.
% 21.42/21.68 exact (zenon_Hf4 zenon_Hf3).
% 21.42/21.68 apply zenon_H4a. apply refl_equal.
% 21.42/21.68 (* end of lemma zenon_L117_ *)
% 21.42/21.68 assert (zenon_L118_ : ((op (e2) (e1)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H53 zenon_H3f zenon_Hf0.
% 21.42/21.68 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H56 | zenon_intro zenon_H57 ].
% 21.42/21.68 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_Hf0.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H56.
% 21.42/21.68 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 21.42/21.68 cut (((op (e2) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 21.42/21.68 congruence.
% 21.42/21.68 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e1) (e1)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_Hf1.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H53.
% 21.42/21.68 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H170].
% 21.42/21.68 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 21.42/21.68 congruence.
% 21.42/21.68 apply zenon_H57. apply refl_equal.
% 21.42/21.68 apply zenon_H170. apply sym_equal. exact zenon_H3f.
% 21.42/21.68 apply zenon_H57. apply refl_equal.
% 21.42/21.68 apply zenon_H57. apply refl_equal.
% 21.42/21.68 (* end of lemma zenon_L118_ *)
% 21.42/21.68 assert (zenon_L119_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H11a zenon_Hef zenon_H171.
% 21.42/21.68 cut (((op (e1) (e1)) = (e2)) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H11a.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_Hef.
% 21.42/21.68 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 21.42/21.68 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 21.42/21.68 congruence.
% 21.42/21.68 apply zenon_H10f. apply refl_equal.
% 21.42/21.68 apply zenon_H172. apply sym_equal. exact zenon_H171.
% 21.42/21.68 (* end of lemma zenon_L119_ *)
% 21.42/21.68 assert (zenon_L120_ : ((op (e1) (e1)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H10c zenon_Hdb zenon_H173.
% 21.42/21.68 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H174 | zenon_intro zenon_H10f ].
% 21.42/21.68 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H173.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H174.
% 21.42/21.68 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 21.42/21.68 cut (((op (e1) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H175].
% 21.42/21.68 congruence.
% 21.42/21.68 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e0) (e1)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H175.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H10c.
% 21.42/21.68 cut (((e3) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H176].
% 21.42/21.68 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 21.42/21.68 congruence.
% 21.42/21.68 apply zenon_H10f. apply refl_equal.
% 21.42/21.68 apply zenon_H176. apply sym_equal. exact zenon_Hdb.
% 21.42/21.68 apply zenon_H10f. apply refl_equal.
% 21.42/21.68 apply zenon_H10f. apply refl_equal.
% 21.42/21.68 (* end of lemma zenon_L120_ *)
% 21.42/21.68 assert (zenon_L121_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H158 zenon_He3 zenon_Hf0 zenon_H53 zenon_H171 zenon_H11a zenon_Hdb zenon_H173.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_He7 | zenon_intro zenon_H15a ].
% 21.42/21.68 exact (zenon_He3 zenon_He7).
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H3f | zenon_intro zenon_H15b ].
% 21.42/21.68 apply (zenon_L118_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Hef | zenon_intro zenon_H10c ].
% 21.42/21.68 apply (zenon_L119_); trivial.
% 21.42/21.68 apply (zenon_L120_); trivial.
% 21.42/21.68 (* end of lemma zenon_L121_ *)
% 21.42/21.68 assert (zenon_L122_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H177 zenon_H66 zenon_H160.
% 21.42/21.68 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H177.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H66.
% 21.42/21.68 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H178].
% 21.42/21.68 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 21.42/21.68 congruence.
% 21.42/21.68 apply zenon_H135. apply refl_equal.
% 21.42/21.68 apply zenon_H178. apply sym_equal. exact zenon_H160.
% 21.42/21.68 (* end of lemma zenon_L122_ *)
% 21.42/21.68 assert (zenon_L123_ : ((op (e3) (e0)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H9d zenon_Ha6 zenon_H179.
% 21.42/21.68 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H10a | zenon_intro zenon_H81 ].
% 21.42/21.68 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e1) (e0)) = (op (e3) (e0)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H179.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H10a.
% 21.42/21.68 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 21.42/21.68 cut (((op (e3) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H17a].
% 21.42/21.68 congruence.
% 21.42/21.68 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e1) (e0)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H17a.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H9d.
% 21.42/21.68 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 21.42/21.68 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 21.42/21.68 congruence.
% 21.42/21.68 apply zenon_H81. apply refl_equal.
% 21.42/21.68 apply zenon_Ha7. apply sym_equal. exact zenon_Ha6.
% 21.42/21.68 apply zenon_H81. apply refl_equal.
% 21.42/21.68 apply zenon_H81. apply refl_equal.
% 21.42/21.68 (* end of lemma zenon_L123_ *)
% 21.42/21.68 assert (zenon_L124_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H4d zenon_H133 zenon_Hb6.
% 21.42/21.68 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.42/21.68 cut (((e3) = (e3)) = ((e1) = (e3))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_Hb6.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_Ha1.
% 21.42/21.68 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.68 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 21.42/21.68 congruence.
% 21.42/21.68 cut (((op (e1) (e2)) = (e1)) = ((e3) = (e1))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_Hb7.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H4d.
% 21.42/21.68 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.42/21.68 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 21.42/21.68 congruence.
% 21.42/21.68 exact (zenon_H17b zenon_H133).
% 21.42/21.68 apply zenon_H4a. apply refl_equal.
% 21.42/21.68 apply zenon_Ha2. apply refl_equal.
% 21.42/21.68 apply zenon_Ha2. apply refl_equal.
% 21.42/21.68 (* end of lemma zenon_L124_ *)
% 21.42/21.68 assert (zenon_L125_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e0)) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H13c zenon_H179 zenon_H9d zenon_H173 zenon_Hdb zenon_Hb6 zenon_H4d zenon_Ha0 zenon_H136.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.42/21.68 apply (zenon_L123_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.42/21.68 apply (zenon_L120_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.42/21.68 apply (zenon_L124_); trivial.
% 21.42/21.68 apply (zenon_L90_); trivial.
% 21.42/21.68 (* end of lemma zenon_L125_ *)
% 21.42/21.68 assert (zenon_L126_ : ((op (e3) (e3)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H17c zenon_H93 zenon_H129.
% 21.42/21.68 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.42/21.68 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H129.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H12a.
% 21.42/21.68 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.42/21.68 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12c].
% 21.42/21.68 congruence.
% 21.42/21.68 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e2) (e3)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H12c.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H17c.
% 21.42/21.68 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 21.42/21.68 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.42/21.68 congruence.
% 21.42/21.68 apply zenon_H12b. apply refl_equal.
% 21.42/21.68 apply zenon_H17d. apply sym_equal. exact zenon_H93.
% 21.42/21.68 apply zenon_H12b. apply refl_equal.
% 21.42/21.68 apply zenon_H12b. apply refl_equal.
% 21.42/21.68 (* end of lemma zenon_L126_ *)
% 21.42/21.68 assert (zenon_L127_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H16a zenon_H7b zenon_H53 zenon_H77 zenon_H8b zenon_H17c zenon_H129.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.42/21.68 exact (zenon_H7b zenon_H65).
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.42/21.68 apply (zenon_L56_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.42/21.68 exact (zenon_H8b zenon_H8a).
% 21.42/21.68 apply (zenon_L126_); trivial.
% 21.42/21.68 (* end of lemma zenon_L127_ *)
% 21.42/21.68 assert (zenon_L128_ : (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H131 zenon_H4d zenon_H105.
% 21.42/21.68 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H131.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H4d.
% 21.42/21.68 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 21.42/21.68 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.42/21.68 congruence.
% 21.42/21.68 apply zenon_H50. apply refl_equal.
% 21.42/21.68 apply zenon_H17e. apply sym_equal. exact zenon_H105.
% 21.42/21.68 (* end of lemma zenon_L128_ *)
% 21.42/21.68 assert (zenon_L129_ : ((op (e3) (e2)) = (e3)) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_Hbb zenon_H110 zenon_H104.
% 21.42/21.68 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ].
% 21.42/21.68 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H104.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_Hbd.
% 21.42/21.68 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 21.42/21.68 cut (((op (e3) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H17f].
% 21.42/21.68 congruence.
% 21.42/21.68 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e2) (e2)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H17f.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_Hbb.
% 21.42/21.68 cut (((e3) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H180].
% 21.42/21.68 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 21.42/21.68 congruence.
% 21.42/21.68 apply zenon_Hbe. apply refl_equal.
% 21.42/21.68 apply zenon_H180. apply sym_equal. exact zenon_H110.
% 21.42/21.68 apply zenon_Hbe. apply refl_equal.
% 21.42/21.68 apply zenon_Hbe. apply refl_equal.
% 21.42/21.68 (* end of lemma zenon_L129_ *)
% 21.42/21.68 assert (zenon_L130_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H13e zenon_H13d zenon_H4d zenon_H131 zenon_H8b zenon_Hbb zenon_H104.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H14c | zenon_intro zenon_H151 ].
% 21.42/21.68 exact (zenon_H13d zenon_H14c).
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H105 | zenon_intro zenon_H152 ].
% 21.42/21.68 apply (zenon_L128_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H110 ].
% 21.42/21.68 exact (zenon_H8b zenon_H8a).
% 21.42/21.68 apply (zenon_L129_); trivial.
% 21.42/21.68 (* end of lemma zenon_L130_ *)
% 21.42/21.68 assert (zenon_L131_ : ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H8f zenon_H131 zenon_H4d zenon_H104 zenon_Hbb zenon_H13e zenon_H77 zenon_H53 zenon_H8b zenon_H129 zenon_H17c zenon_H16a.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.42/21.68 apply (zenon_L127_); trivial.
% 21.42/21.68 apply (zenon_L130_); trivial.
% 21.42/21.68 (* end of lemma zenon_L131_ *)
% 21.42/21.68 assert (zenon_L132_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H5a zenon_H131 zenon_H104 zenon_Hbb zenon_H13e zenon_H77 zenon_H8b zenon_H129 zenon_H17c zenon_H16a.
% 21.42/21.68 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.42/21.68 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 21.42/21.68 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.42/21.68 apply (zenon_L131_); trivial.
% 21.42/21.68 (* end of lemma zenon_L132_ *)
% 21.42/21.68 assert (zenon_L133_ : (~((e2) = (e3))) -> ((op (e3) (e3)) = (e3)) -> ((op (e3) (e3)) = (e2)) -> False).
% 21.42/21.68 do 0 intro. intros zenon_Ha9 zenon_Hc3 zenon_H17c.
% 21.42/21.68 cut (((op (e3) (e3)) = (e3)) = ((e2) = (e3))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_Ha9.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_Hc3.
% 21.42/21.68 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.68 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 21.42/21.68 congruence.
% 21.42/21.68 exact (zenon_H181 zenon_H17c).
% 21.42/21.68 apply zenon_Ha2. apply refl_equal.
% 21.42/21.68 (* end of lemma zenon_L133_ *)
% 21.42/21.68 assert (zenon_L134_ : (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.42/21.68 do 0 intro. intros zenon_Hb6 zenon_H9d zenon_H7e.
% 21.42/21.68 cut (((op (e3) (e0)) = (e3)) = ((e1) = (e3))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_Hb6.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H9d.
% 21.42/21.68 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.42/21.68 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 21.42/21.68 congruence.
% 21.42/21.68 exact (zenon_H182 zenon_H7e).
% 21.42/21.68 apply zenon_Ha2. apply refl_equal.
% 21.42/21.68 (* end of lemma zenon_L134_ *)
% 21.42/21.68 assert (zenon_L135_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H82 zenon_H48 zenon_H1e zenon_H4e zenon_H4d zenon_H55 zenon_H53 zenon_Hb6 zenon_H9d.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.42/21.68 apply (zenon_L13_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.42/21.68 apply (zenon_L14_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.42/21.68 apply (zenon_L15_); trivial.
% 21.42/21.68 apply (zenon_L134_); trivial.
% 21.42/21.68 (* end of lemma zenon_L135_ *)
% 21.42/21.68 assert (zenon_L136_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H13a zenon_H55 zenon_H4d zenon_H4e zenon_H82 zenon_H13b zenon_He2 zenon_H183 zenon_H7e zenon_H11a zenon_Hf0 zenon_He3 zenon_H158 zenon_H66 zenon_H177 zenon_H121 zenon_H173 zenon_H179 zenon_H13c zenon_H129 zenon_H13e zenon_H104 zenon_H131 zenon_H5a zenon_Hb2 zenon_Ha0 zenon_H111 zenon_H53 zenon_H16a zenon_Ha9 zenon_H77 zenon_H8b zenon_H16b zenon_H117 zenon_H13d zenon_H48 zenon_H2c zenon_H1e zenon_H141 zenon_Hb6 zenon_H155.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.42/21.68 apply (zenon_L41_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.42/21.68 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.42/21.68 apply (zenon_L41_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.42/21.68 apply (zenon_L116_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.42/21.68 exact (zenon_He3 zenon_He7).
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.42/21.68 apply (zenon_L117_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.42/21.68 apply (zenon_L53_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.42/21.68 exact (zenon_He3 zenon_He7).
% 21.42/21.68 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.42/21.68 apply (zenon_L111_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.42/21.68 apply (zenon_L71_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.42/21.68 apply (zenon_L121_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.42/21.68 apply (zenon_L122_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.42/21.68 apply (zenon_L125_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.42/21.68 apply (zenon_L107_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.42/21.68 apply (zenon_L132_); trivial.
% 21.42/21.68 apply (zenon_L133_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.42/21.68 apply (zenon_L112_); trivial.
% 21.42/21.68 apply (zenon_L135_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.42/21.68 apply (zenon_L114_); trivial.
% 21.42/21.68 apply (zenon_L115_); trivial.
% 21.42/21.68 (* end of lemma zenon_L136_ *)
% 21.42/21.68 assert (zenon_L137_ : (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H94 zenon_Hbc zenon_H24 zenon_H164 zenon_H162 zenon_H163 zenon_H33 zenon_H125 zenon_H156 zenon_Hcc zenon_H7d zenon_H5d zenon_H140 zenon_H100 zenon_H12e zenon_H109 zenon_H13f zenon_Hf5 zenon_Hfa zenon_Heb zenon_He4 zenon_H73 zenon_H6f zenon_H15d zenon_H139 zenon_H68 zenon_Hb6 zenon_H141 zenon_H1e zenon_H2c zenon_H48 zenon_H13d zenon_H117 zenon_H16b zenon_H8b zenon_Ha9 zenon_H16a zenon_H53 zenon_H111 zenon_Ha0 zenon_Hb2 zenon_H5a zenon_H131 zenon_H104 zenon_H13e zenon_H129 zenon_H13c zenon_H179 zenon_H173 zenon_H121 zenon_H177 zenon_H158 zenon_He3 zenon_Hf0 zenon_H11a zenon_H183 zenon_He2 zenon_H13b zenon_H82 zenon_H4e zenon_H4d zenon_H55 zenon_H13a zenon_H155 zenon_H77.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.42/21.68 apply (zenon_L13_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.42/21.68 apply (zenon_L109_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.42/21.68 apply (zenon_L15_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.42/21.68 apply (zenon_L20_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.42/21.68 apply (zenon_L41_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.42/21.68 apply (zenon_L110_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.42/21.68 apply (zenon_L114_); trivial.
% 21.42/21.68 apply (zenon_L115_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.42/21.68 apply (zenon_L136_); trivial.
% 21.42/21.68 apply (zenon_L98_); trivial.
% 21.42/21.68 (* end of lemma zenon_L137_ *)
% 21.42/21.68 assert (zenon_L138_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H5c zenon_H4d zenon_H186.
% 21.42/21.68 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H5e | zenon_intro zenon_H5f ].
% 21.42/21.68 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H186.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H5e.
% 21.42/21.68 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 21.42/21.68 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H187].
% 21.42/21.68 congruence.
% 21.42/21.68 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e2)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H187.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H5c.
% 21.42/21.68 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H188].
% 21.42/21.68 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 21.42/21.68 congruence.
% 21.42/21.68 apply zenon_H5f. apply refl_equal.
% 21.42/21.68 apply zenon_H188. apply sym_equal. exact zenon_H4d.
% 21.42/21.68 apply zenon_H5f. apply refl_equal.
% 21.42/21.68 apply zenon_H5f. apply refl_equal.
% 21.42/21.68 (* end of lemma zenon_L138_ *)
% 21.42/21.68 assert (zenon_L139_ : (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H189 zenon_H53 zenon_H128.
% 21.42/21.68 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e2) (e3)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H189.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H53.
% 21.42/21.68 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 21.42/21.68 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 21.42/21.68 congruence.
% 21.42/21.68 apply zenon_H57. apply refl_equal.
% 21.42/21.68 apply zenon_H12d. apply sym_equal. exact zenon_H128.
% 21.42/21.68 (* end of lemma zenon_L139_ *)
% 21.42/21.68 assert (zenon_L140_ : ((op (e3) (e3)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H11f zenon_H7e zenon_H18a.
% 21.42/21.68 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.42/21.68 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H18a.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H12a.
% 21.42/21.68 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.42/21.68 cut (((op (e3) (e3)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 21.42/21.68 congruence.
% 21.42/21.68 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e3) (e0)))).
% 21.42/21.68 intro zenon_D_pnotp.
% 21.42/21.68 apply zenon_H18b.
% 21.42/21.68 rewrite <- zenon_D_pnotp.
% 21.42/21.68 exact zenon_H11f.
% 21.42/21.68 cut (((e1) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H18c].
% 21.42/21.68 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.42/21.68 congruence.
% 21.42/21.68 apply zenon_H12b. apply refl_equal.
% 21.42/21.68 apply zenon_H18c. apply sym_equal. exact zenon_H7e.
% 21.42/21.68 apply zenon_H12b. apply refl_equal.
% 21.42/21.68 apply zenon_H12b. apply refl_equal.
% 21.42/21.68 (* end of lemma zenon_L140_ *)
% 21.42/21.68 assert (zenon_L141_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H18d zenon_H77 zenon_H13a zenon_H55 zenon_H4e zenon_H82 zenon_H13b zenon_He2 zenon_H183 zenon_H11a zenon_Hf0 zenon_He3 zenon_H158 zenon_H177 zenon_H121 zenon_H173 zenon_H179 zenon_H13c zenon_H129 zenon_H13e zenon_H104 zenon_H131 zenon_H5a zenon_Hb2 zenon_Ha0 zenon_H111 zenon_H16a zenon_Ha9 zenon_H8b zenon_H16b zenon_H117 zenon_H13d zenon_H48 zenon_H2c zenon_H1e zenon_H141 zenon_Hb6 zenon_H68 zenon_H139 zenon_H15d zenon_H6f zenon_H73 zenon_He4 zenon_Heb zenon_Hfa zenon_Hf5 zenon_H13f zenon_H109 zenon_H12e zenon_H100 zenon_H140 zenon_H5d zenon_H7d zenon_Hcc zenon_H156 zenon_H125 zenon_H33 zenon_H163 zenon_H162 zenon_H164 zenon_H24 zenon_Hbc zenon_H94 zenon_H186 zenon_H4d zenon_H53 zenon_H189 zenon_H7e zenon_H18a.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.42/21.68 apply (zenon_L137_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.42/21.68 apply (zenon_L138_); trivial.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.42/21.68 apply (zenon_L139_); trivial.
% 21.42/21.68 apply (zenon_L140_); trivial.
% 21.42/21.68 (* end of lemma zenon_L141_ *)
% 21.42/21.68 assert (zenon_L142_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.42/21.68 do 0 intro. intros zenon_H18d zenon_H77 zenon_H13a zenon_H55 zenon_H4e zenon_H82 zenon_H13b zenon_He2 zenon_H183 zenon_H11a zenon_Hf0 zenon_He3 zenon_H158 zenon_H177 zenon_H121 zenon_H173 zenon_H179 zenon_H13c zenon_H129 zenon_H13e zenon_H104 zenon_H131 zenon_H5a zenon_Hb2 zenon_Ha0 zenon_H111 zenon_H16a zenon_Ha9 zenon_H8b zenon_H16b zenon_H117 zenon_H13d zenon_H48 zenon_H2c zenon_H1e zenon_H141 zenon_Hb6 zenon_H68 zenon_H139 zenon_H15d zenon_H6f zenon_H73 zenon_He4 zenon_Heb zenon_Hfa zenon_Hf5 zenon_H13f zenon_H109 zenon_H12e zenon_H100 zenon_H140 zenon_H5d zenon_H7d zenon_Hcc zenon_H156 zenon_H125 zenon_H33 zenon_H163 zenon_H162 zenon_H164 zenon_H24 zenon_Hbc zenon_H94 zenon_H186 zenon_H4d zenon_H53 zenon_H189 zenon_H18a.
% 21.42/21.68 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.51/21.69 apply (zenon_L13_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.51/21.69 apply (zenon_L14_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.51/21.69 apply (zenon_L15_); trivial.
% 21.51/21.69 apply (zenon_L141_); trivial.
% 21.51/21.69 (* end of lemma zenon_L142_ *)
% 21.51/21.69 assert (zenon_L143_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H190 zenon_H53 zenon_H105.
% 21.51/21.69 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e2) (e2)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H190.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H53.
% 21.51/21.69 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 21.51/21.69 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 21.51/21.69 congruence.
% 21.51/21.69 apply zenon_H57. apply refl_equal.
% 21.51/21.69 apply zenon_H17e. apply sym_equal. exact zenon_H105.
% 21.51/21.69 (* end of lemma zenon_L143_ *)
% 21.51/21.69 assert (zenon_L144_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H13e zenon_H13d zenon_H53 zenon_H190 zenon_H8b zenon_H191.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H14c | zenon_intro zenon_H151 ].
% 21.51/21.69 exact (zenon_H13d zenon_H14c).
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H105 | zenon_intro zenon_H152 ].
% 21.51/21.69 apply (zenon_L143_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H110 ].
% 21.51/21.69 exact (zenon_H8b zenon_H8a).
% 21.51/21.69 exact (zenon_H191 zenon_H110).
% 21.51/21.69 (* end of lemma zenon_L144_ *)
% 21.51/21.69 assert (zenon_L145_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (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) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H92 zenon_H190 zenon_H48 zenon_H1e zenon_H4e zenon_H4d zenon_H55 zenon_H53 zenon_H18d zenon_H18a zenon_H189 zenon_H186 zenon_H164 zenon_H162 zenon_H163 zenon_H158 zenon_H156 zenon_H139 zenon_H77 zenon_Hcc zenon_Hbc zenon_Hb6 zenon_Hb2 zenon_Ha9 zenon_Ha0 zenon_H94 zenon_H82 zenon_H7d zenon_H13a zenon_H13b zenon_H13c zenon_H13d zenon_H140 zenon_H100 zenon_H12e zenon_H117 zenon_H111 zenon_H109 zenon_H11a zenon_H121 zenon_H104 zenon_H13e zenon_H131 zenon_H125 zenon_H129 zenon_H13f zenon_H141 zenon_Hf0 zenon_Hf5 zenon_Hfa zenon_Heb zenon_He4 zenon_He2 zenon_H73 zenon_H6f zenon_H68 zenon_H15d zenon_H5d zenon_H33 zenon_H2c zenon_H24 zenon_He3 zenon_H173 zenon_H177 zenon_H5a zenon_H179 zenon_H183 zenon_H16a zenon_H8b.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.51/21.69 apply (zenon_L142_); trivial.
% 21.51/21.69 apply (zenon_L144_); trivial.
% 21.51/21.69 (* end of lemma zenon_L145_ *)
% 21.51/21.69 assert (zenon_L146_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H192 zenon_H3d zenon_H7f.
% 21.51/21.69 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H192.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H3d.
% 21.51/21.69 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H80].
% 21.51/21.69 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 21.51/21.69 congruence.
% 21.51/21.69 apply zenon_H193. apply refl_equal.
% 21.51/21.69 apply zenon_H80. apply sym_equal. exact zenon_H7f.
% 21.51/21.69 (* end of lemma zenon_L146_ *)
% 21.51/21.69 assert (zenon_L147_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e2))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H2a zenon_H6e zenon_H68.
% 21.51/21.69 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 21.51/21.69 cut (((e2) = (e2)) = ((e0) = (e2))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H68.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H69.
% 21.51/21.69 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.51/21.69 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e0) (e1)) = (e0)) = ((e2) = (e0))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H6b.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H2a.
% 21.51/21.69 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.51/21.69 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H194].
% 21.51/21.69 congruence.
% 21.51/21.69 exact (zenon_H194 zenon_H6e).
% 21.51/21.69 apply zenon_H46. apply refl_equal.
% 21.51/21.69 apply zenon_H6a. apply refl_equal.
% 21.51/21.69 apply zenon_H6a. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L147_ *)
% 21.51/21.69 assert (zenon_L148_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H111 zenon_H153 zenon_H105.
% 21.51/21.69 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H111.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H153.
% 21.51/21.69 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 21.51/21.69 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 21.51/21.69 congruence.
% 21.51/21.69 apply zenon_H135. apply refl_equal.
% 21.51/21.69 apply zenon_H17e. apply sym_equal. exact zenon_H105.
% 21.51/21.69 (* end of lemma zenon_L148_ *)
% 21.51/21.69 assert (zenon_L149_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H195 zenon_H5c zenon_H128.
% 21.51/21.69 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H195.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H5c.
% 21.51/21.69 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 21.51/21.69 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 21.51/21.69 congruence.
% 21.51/21.69 apply zenon_H5f. apply refl_equal.
% 21.51/21.69 apply zenon_H12d. apply sym_equal. exact zenon_H128.
% 21.51/21.69 (* end of lemma zenon_L149_ *)
% 21.51/21.69 assert (zenon_L150_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H13f zenon_H65 zenon_H77 zenon_Hdd zenon_H48 zenon_H153 zenon_H111 zenon_H195 zenon_H5c.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.51/21.69 apply (zenon_L30_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.51/21.69 apply (zenon_L111_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.51/21.69 apply (zenon_L148_); trivial.
% 21.51/21.69 apply (zenon_L149_); trivial.
% 21.51/21.69 (* end of lemma zenon_L150_ *)
% 21.51/21.69 assert (zenon_L151_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H54 zenon_Ha8 zenon_Hb6.
% 21.51/21.69 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.51/21.69 cut (((e3) = (e3)) = ((e1) = (e3))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_Hb6.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_Ha1.
% 21.51/21.69 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.51/21.69 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e2) (e0)) = (e1)) = ((e3) = (e1))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_Hb7.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H54.
% 21.51/21.69 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.51/21.69 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 21.51/21.69 congruence.
% 21.51/21.69 exact (zenon_Hab zenon_Ha8).
% 21.51/21.69 apply zenon_H4a. apply refl_equal.
% 21.51/21.69 apply zenon_Ha2. apply refl_equal.
% 21.51/21.69 apply zenon_Ha2. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L151_ *)
% 21.51/21.69 assert (zenon_L152_ : ((op (e2) (e1)) = (e0)) -> ((op (e2) (e1)) = (e3)) -> (~((e0) = (e3))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_Hdd zenon_H10d zenon_Ha0.
% 21.51/21.69 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.51/21.69 cut (((e3) = (e3)) = ((e0) = (e3))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_Ha0.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_Ha1.
% 21.51/21.69 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.51/21.69 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e2) (e1)) = (e0)) = ((e3) = (e0))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_Ha3.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_Hdd.
% 21.51/21.69 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.51/21.69 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 21.51/21.69 congruence.
% 21.51/21.69 exact (zenon_H16e zenon_H10d).
% 21.51/21.69 apply zenon_H46. apply refl_equal.
% 21.51/21.69 apply zenon_Ha2. apply refl_equal.
% 21.51/21.69 apply zenon_Ha2. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L152_ *)
% 21.51/21.69 assert (zenon_L153_ : (~((e2) = (e3))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_Ha9 zenon_H110 zenon_H8a.
% 21.51/21.69 cut (((op (e2) (e2)) = (e3)) = ((e2) = (e3))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_Ha9.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H110.
% 21.51/21.69 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.51/21.69 cut (((op (e2) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 21.51/21.69 congruence.
% 21.51/21.69 exact (zenon_H8b zenon_H8a).
% 21.51/21.69 apply zenon_Ha2. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L153_ *)
% 21.51/21.69 assert (zenon_L154_ : ((op (e2) (e3)) = (e3)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_Hb9 zenon_H9e zenon_H196.
% 21.51/21.69 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 21.51/21.69 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H196.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H95.
% 21.51/21.69 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 21.51/21.69 cut (((op (e2) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e2) (e3)) = (e3)) = ((op (e2) (e3)) = (op (e0) (e3)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H197.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_Hb9.
% 21.51/21.69 cut (((e3) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H198].
% 21.51/21.69 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 21.51/21.69 congruence.
% 21.51/21.69 apply zenon_H96. apply refl_equal.
% 21.51/21.69 apply zenon_H198. apply sym_equal. exact zenon_H9e.
% 21.51/21.69 apply zenon_H96. apply refl_equal.
% 21.51/21.69 apply zenon_H96. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L154_ *)
% 21.51/21.69 assert (zenon_L155_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha0 zenon_Hdd zenon_H8a zenon_Ha9 zenon_H9e zenon_H196.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.51/21.69 apply (zenon_L151_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.51/21.69 apply (zenon_L152_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.51/21.69 apply (zenon_L153_); trivial.
% 21.51/21.69 apply (zenon_L154_); trivial.
% 21.51/21.69 (* end of lemma zenon_L155_ *)
% 21.51/21.69 assert (zenon_L156_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H38 zenon_H9e zenon_Ha0.
% 21.51/21.69 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.51/21.69 cut (((e3) = (e3)) = ((e0) = (e3))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_Ha0.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_Ha1.
% 21.51/21.69 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.51/21.69 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e0) (e3)) = (e0)) = ((e3) = (e0))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_Ha3.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H38.
% 21.51/21.69 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.51/21.69 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H199].
% 21.51/21.69 congruence.
% 21.51/21.69 exact (zenon_H199 zenon_H9e).
% 21.51/21.69 apply zenon_H46. apply refl_equal.
% 21.51/21.69 apply zenon_Ha2. apply refl_equal.
% 21.51/21.69 apply zenon_Ha2. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L156_ *)
% 21.51/21.69 assert (zenon_L157_ : (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H48 zenon_H5c zenon_H136.
% 21.51/21.69 cut (((op (e1) (e3)) = (e1)) = ((e0) = (e1))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H48.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H5c.
% 21.51/21.69 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.51/21.69 cut (((op (e1) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H137].
% 21.51/21.69 congruence.
% 21.51/21.69 exact (zenon_H137 zenon_H136).
% 21.51/21.69 apply zenon_H4a. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L157_ *)
% 21.51/21.69 assert (zenon_L158_ : (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e0)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H68 zenon_H93 zenon_H115.
% 21.51/21.69 cut (((op (e2) (e3)) = (e2)) = ((e0) = (e2))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H68.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H93.
% 21.51/21.69 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.51/21.69 cut (((op (e2) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H116].
% 21.51/21.69 congruence.
% 21.51/21.69 exact (zenon_H116 zenon_H115).
% 21.51/21.69 apply zenon_H6a. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L158_ *)
% 21.51/21.69 assert (zenon_L159_ : (((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) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H19a zenon_Ha0 zenon_H9e zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H162.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.51/21.69 apply (zenon_L156_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.51/21.69 apply (zenon_L157_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.51/21.69 apply (zenon_L158_); trivial.
% 21.51/21.69 exact (zenon_H162 zenon_H167).
% 21.51/21.69 (* end of lemma zenon_L159_ *)
% 21.51/21.69 assert (zenon_L160_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((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))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H13a zenon_H1e zenon_He2 zenon_H6e zenon_He3 zenon_H162 zenon_H68 zenon_H5c zenon_Ha0 zenon_H19a zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha9 zenon_H196 zenon_H13f zenon_H77 zenon_H153 zenon_H111 zenon_H195 zenon_H16a zenon_H48 zenon_H7f.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.51/21.69 apply (zenon_L41_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.51/21.69 apply (zenon_L110_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.51/21.69 apply (zenon_L95_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.51/21.69 apply (zenon_L147_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.51/21.69 exact (zenon_He3 zenon_He7).
% 21.51/21.69 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.51/21.69 apply (zenon_L150_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.51/21.69 apply (zenon_L54_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.51/21.69 apply (zenon_L155_); trivial.
% 21.51/21.69 apply (zenon_L159_); trivial.
% 21.51/21.69 apply (zenon_L57_); trivial.
% 21.51/21.69 (* end of lemma zenon_L160_ *)
% 21.51/21.69 assert (zenon_L161_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H2a zenon_H1e zenon_H19d.
% 21.51/21.69 elim (classic ((op (e0) (e1)) = (op (e0) (e1)))); [ zenon_intro zenon_H19e | zenon_intro zenon_H193 ].
% 21.51/21.69 cut (((op (e0) (e1)) = (op (e0) (e1))) = ((op (e0) (e0)) = (op (e0) (e1)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H19d.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H19e.
% 21.51/21.69 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 21.51/21.69 cut (((op (e0) (e1)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e0)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H19f.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H2a.
% 21.51/21.69 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1a0].
% 21.51/21.69 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 21.51/21.69 congruence.
% 21.51/21.69 apply zenon_H193. apply refl_equal.
% 21.51/21.69 apply zenon_H1a0. apply sym_equal. exact zenon_H1e.
% 21.51/21.69 apply zenon_H193. apply refl_equal.
% 21.51/21.69 apply zenon_H193. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L161_ *)
% 21.51/21.69 assert (zenon_L162_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> (~((e0) = (e3))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_Hf3 zenon_H133 zenon_Ha0.
% 21.51/21.69 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.51/21.69 cut (((e3) = (e3)) = ((e0) = (e3))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_Ha0.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_Ha1.
% 21.51/21.69 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.51/21.69 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e1) (e2)) = (e0)) = ((e3) = (e0))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_Ha3.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_Hf3.
% 21.51/21.69 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.51/21.69 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 21.51/21.69 congruence.
% 21.51/21.69 exact (zenon_H17b zenon_H133).
% 21.51/21.69 apply zenon_H46. apply refl_equal.
% 21.51/21.69 apply zenon_Ha2. apply refl_equal.
% 21.51/21.69 apply zenon_Ha2. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L162_ *)
% 21.51/21.69 assert (zenon_L163_ : ((op (e2) (e2)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H110 zenon_H10d zenon_H190.
% 21.51/21.69 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H112 | zenon_intro zenon_H108 ].
% 21.51/21.69 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e1)) = (op (e2) (e2)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H190.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H112.
% 21.51/21.69 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 21.51/21.69 cut (((op (e2) (e2)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e2) (e1)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H1a1.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H110.
% 21.51/21.69 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10e].
% 21.51/21.69 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 21.51/21.69 congruence.
% 21.51/21.69 apply zenon_H108. apply refl_equal.
% 21.51/21.69 apply zenon_H10e. apply sym_equal. exact zenon_H10d.
% 21.51/21.69 apply zenon_H108. apply refl_equal.
% 21.51/21.69 apply zenon_H108. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L163_ *)
% 21.51/21.69 assert (zenon_L164_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e2)) = (e3))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H1a2 zenon_Hb6 zenon_H153 zenon_Ha0 zenon_Hf3 zenon_H190 zenon_H10d zenon_H1a3.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.51/21.69 apply (zenon_L95_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.51/21.69 apply (zenon_L162_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.51/21.69 apply (zenon_L163_); trivial.
% 21.51/21.69 exact (zenon_H1a3 zenon_Hbb).
% 21.51/21.69 (* end of lemma zenon_L164_ *)
% 21.51/21.69 assert (zenon_L165_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e2))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H38 zenon_Hf6 zenon_H68.
% 21.51/21.69 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 21.51/21.69 cut (((e2) = (e2)) = ((e0) = (e2))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H68.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H69.
% 21.51/21.69 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.51/21.69 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e0) (e3)) = (e0)) = ((e2) = (e0))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H6b.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H38.
% 21.51/21.69 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.51/21.69 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H138].
% 21.51/21.69 congruence.
% 21.51/21.69 exact (zenon_H138 zenon_Hf6).
% 21.51/21.69 apply zenon_H46. apply refl_equal.
% 21.51/21.69 apply zenon_H6a. apply refl_equal.
% 21.51/21.69 apply zenon_H6a. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L165_ *)
% 21.51/21.69 assert (zenon_L166_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H19a zenon_H68 zenon_Hf6 zenon_H5c zenon_H48 zenon_Hb9 zenon_Ha0 zenon_H162.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.51/21.69 apply (zenon_L165_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.51/21.69 apply (zenon_L157_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.51/21.69 apply (zenon_L77_); trivial.
% 21.51/21.69 exact (zenon_H162 zenon_H167).
% 21.51/21.69 (* end of lemma zenon_L166_ *)
% 21.51/21.69 assert (zenon_L167_ : ((op (e2) (e3)) = (e2)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H93 zenon_Hf6 zenon_H196.
% 21.51/21.69 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 21.51/21.69 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H196.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H95.
% 21.51/21.69 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 21.51/21.69 cut (((op (e2) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e0) (e3)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H197.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H93.
% 21.51/21.69 cut (((e2) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a6].
% 21.51/21.69 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 21.51/21.69 congruence.
% 21.51/21.69 apply zenon_H96. apply refl_equal.
% 21.51/21.69 apply zenon_H1a6. apply sym_equal. exact zenon_Hf6.
% 21.51/21.69 apply zenon_H96. apply refl_equal.
% 21.51/21.69 apply zenon_H96. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L167_ *)
% 21.51/21.69 assert (zenon_L168_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e0)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (((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)) = (e0)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H16a zenon_H195 zenon_H111 zenon_Hdd zenon_H77 zenon_H13f zenon_Hf0 zenon_Hef zenon_H162 zenon_Ha0 zenon_H48 zenon_H5c zenon_H68 zenon_H19a zenon_Ha9 zenon_H1a2 zenon_Hb6 zenon_H153 zenon_Hf3 zenon_H190 zenon_H1a3 zenon_H54 zenon_H117 zenon_Hf6 zenon_H196.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.51/21.69 apply (zenon_L150_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.51/21.69 apply (zenon_L61_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.51/21.69 apply (zenon_L151_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.51/21.69 apply (zenon_L164_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.51/21.69 apply (zenon_L153_); trivial.
% 21.51/21.69 apply (zenon_L166_); trivial.
% 21.51/21.69 apply (zenon_L167_); trivial.
% 21.51/21.69 (* end of lemma zenon_L168_ *)
% 21.51/21.69 assert (zenon_L169_ : ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((e1) = (e2))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H7f zenon_H171 zenon_H77.
% 21.51/21.69 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 21.51/21.69 cut (((e2) = (e2)) = ((e1) = (e2))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H77.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H69.
% 21.51/21.69 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.51/21.69 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e3) (e1)) = (e1)) = ((e2) = (e1))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H78.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H7f.
% 21.51/21.69 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.51/21.69 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1a7].
% 21.51/21.69 congruence.
% 21.51/21.69 exact (zenon_H1a7 zenon_H171).
% 21.51/21.69 apply zenon_H4a. apply refl_equal.
% 21.51/21.69 apply zenon_H6a. apply refl_equal.
% 21.51/21.69 apply zenon_H6a. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L169_ *)
% 21.51/21.69 assert (zenon_L170_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H13b zenon_Ha6 zenon_H7f zenon_H1a8 zenon_He3 zenon_He2 zenon_H1e zenon_H13a zenon_H196 zenon_Hf6 zenon_H117 zenon_H54 zenon_H1a3 zenon_H190 zenon_H153 zenon_Hb6 zenon_H1a2 zenon_Ha9 zenon_H19a zenon_Ha0 zenon_H162 zenon_Hf0 zenon_H13f zenon_H111 zenon_H195 zenon_H16a zenon_H68 zenon_H77 zenon_H19d zenon_H48 zenon_H5c.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.51/21.69 apply (zenon_L116_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.51/21.69 exact (zenon_He3 zenon_He7).
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.51/21.69 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.51/21.69 apply (zenon_L161_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.51/21.69 exact (zenon_He3 zenon_He7).
% 21.51/21.69 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.51/21.69 apply (zenon_L160_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.51/21.69 apply (zenon_L168_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.51/21.69 apply (zenon_L54_); trivial.
% 21.51/21.69 apply (zenon_L169_); trivial.
% 21.51/21.69 apply (zenon_L57_); trivial.
% 21.51/21.69 apply (zenon_L157_); trivial.
% 21.51/21.69 (* end of lemma zenon_L170_ *)
% 21.51/21.69 assert (zenon_L171_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H25 zenon_H76 zenon_H68.
% 21.51/21.69 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 21.51/21.69 cut (((e2) = (e2)) = ((e0) = (e2))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H68.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H69.
% 21.51/21.69 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.51/21.69 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e1) (e0)) = (e0)) = ((e2) = (e0))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H6b.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H25.
% 21.51/21.69 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.51/21.69 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 21.51/21.69 congruence.
% 21.51/21.69 exact (zenon_H79 zenon_H76).
% 21.51/21.69 apply zenon_H46. apply refl_equal.
% 21.51/21.69 apply zenon_H6a. apply refl_equal.
% 21.51/21.69 apply zenon_H6a. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L171_ *)
% 21.51/21.69 assert (zenon_L172_ : ((op (e2) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_Hb9 zenon_Ha5 zenon_H195.
% 21.51/21.69 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 21.51/21.69 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H195.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H95.
% 21.51/21.69 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 21.51/21.69 cut (((op (e2) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ab].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e2) (e3)) = (e3)) = ((op (e2) (e3)) = (op (e1) (e3)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H1ab.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_Hb9.
% 21.51/21.69 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ac].
% 21.51/21.69 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 21.51/21.69 congruence.
% 21.51/21.69 apply zenon_H96. apply refl_equal.
% 21.51/21.69 apply zenon_H1ac. apply sym_equal. exact zenon_Ha5.
% 21.51/21.69 apply zenon_H96. apply refl_equal.
% 21.51/21.69 apply zenon_H96. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L172_ *)
% 21.51/21.69 assert (zenon_L173_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha0 zenon_Hdd zenon_H8a zenon_Ha9 zenon_Ha5 zenon_H195.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.51/21.69 apply (zenon_L151_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.51/21.69 apply (zenon_L152_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.51/21.69 apply (zenon_L153_); trivial.
% 21.51/21.69 apply (zenon_L172_); trivial.
% 21.51/21.69 (* end of lemma zenon_L173_ *)
% 21.51/21.69 assert (zenon_L174_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (((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)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H13b zenon_H76 zenon_H7f zenon_H1a8 zenon_H196 zenon_Hf6 zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha0 zenon_Ha9 zenon_H195 zenon_Hf0 zenon_H13f zenon_H153 zenon_H111 zenon_H16a zenon_Hdb zenon_H173 zenon_H9d zenon_H179 zenon_H13c zenon_H68 zenon_H77 zenon_He3 zenon_He2 zenon_H48 zenon_H5c.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.51/21.69 apply (zenon_L171_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.51/21.69 exact (zenon_He3 zenon_He7).
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.51/21.69 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.51/21.69 apply (zenon_L53_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.51/21.69 exact (zenon_He3 zenon_He7).
% 21.51/21.69 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.51/21.69 apply (zenon_L110_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.51/21.69 apply (zenon_L123_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.51/21.69 apply (zenon_L120_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.51/21.69 apply (zenon_L162_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.51/21.69 apply (zenon_L150_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.51/21.69 apply (zenon_L61_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.51/21.69 apply (zenon_L173_); trivial.
% 21.51/21.69 apply (zenon_L167_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.51/21.69 apply (zenon_L54_); trivial.
% 21.51/21.69 apply (zenon_L169_); trivial.
% 21.51/21.69 apply (zenon_L57_); trivial.
% 21.51/21.69 apply (zenon_L157_); trivial.
% 21.51/21.69 (* end of lemma zenon_L174_ *)
% 21.51/21.69 assert (zenon_L175_ : ((op (e2) (e0)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H65 zenon_H18d zenon_H77 zenon_H13a zenon_H55 zenon_H4e zenon_H82 zenon_H13b zenon_He2 zenon_H183 zenon_H11a zenon_Hf0 zenon_He3 zenon_H158 zenon_H177 zenon_H121 zenon_H173 zenon_H179 zenon_H13c zenon_H129 zenon_H13e zenon_H104 zenon_H131 zenon_H5a zenon_Hb2 zenon_Ha0 zenon_H111 zenon_H16a zenon_Ha9 zenon_H8b zenon_H16b zenon_H117 zenon_H13d zenon_H48 zenon_H2c zenon_H1e zenon_H141 zenon_Hb6 zenon_H68 zenon_H139 zenon_H15d zenon_H6f zenon_H73 zenon_He4 zenon_Heb zenon_Hfa zenon_Hf5 zenon_H13f zenon_H109 zenon_H12e zenon_H100 zenon_H140 zenon_H5d zenon_H7d zenon_Hcc zenon_H156 zenon_H125 zenon_H33 zenon_H163 zenon_H162 zenon_H164 zenon_H24 zenon_Hbc zenon_H94 zenon_H186 zenon_H4d zenon_H53 zenon_H189 zenon_H18a.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.51/21.69 apply (zenon_L13_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.51/21.69 apply (zenon_L16_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.51/21.69 apply (zenon_L30_); trivial.
% 21.51/21.69 apply (zenon_L141_); trivial.
% 21.51/21.69 (* end of lemma zenon_L175_ *)
% 21.51/21.69 assert (zenon_L176_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H89 zenon_H13d zenon_H190 zenon_H53 zenon_H191 zenon_H13e.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.51/21.69 apply (zenon_L144_); trivial.
% 21.51/21.69 apply (zenon_L144_); trivial.
% 21.51/21.69 (* end of lemma zenon_L176_ *)
% 21.51/21.69 assert (zenon_L177_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (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) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H92 zenon_H190 zenon_H89 zenon_H48 zenon_H1e zenon_H5a zenon_H4e zenon_H77 zenon_H65 zenon_H18d zenon_H18a zenon_H189 zenon_H186 zenon_H164 zenon_H162 zenon_H163 zenon_H158 zenon_H156 zenon_H139 zenon_Hcc zenon_Hbc zenon_Hb6 zenon_Hb2 zenon_Ha9 zenon_Ha0 zenon_H94 zenon_H55 zenon_H82 zenon_H7d zenon_H13a zenon_H13b zenon_H13c zenon_H13d zenon_H140 zenon_H100 zenon_H12e zenon_H117 zenon_H111 zenon_H109 zenon_H11a zenon_H121 zenon_H104 zenon_H13e zenon_H131 zenon_H125 zenon_H129 zenon_H13f zenon_H141 zenon_Hf0 zenon_Hf5 zenon_Hfa zenon_Heb zenon_He4 zenon_He2 zenon_H73 zenon_H6f zenon_H68 zenon_H15d zenon_H5d zenon_H33 zenon_H2c zenon_H24 zenon_H53 zenon_He3 zenon_H4d zenon_H173 zenon_H177 zenon_H179 zenon_H183 zenon_H16a zenon_H8b.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.51/21.69 apply (zenon_L175_); trivial.
% 21.51/21.69 apply (zenon_L176_); trivial.
% 21.51/21.69 (* end of lemma zenon_L177_ *)
% 21.51/21.69 assert (zenon_L178_ : ((op (e3) (e2)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_Hbb zenon_Hfe zenon_H177.
% 21.51/21.69 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ].
% 21.51/21.69 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H177.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_Hbd.
% 21.51/21.69 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 21.51/21.69 cut (((op (e3) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1ad].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e0) (e2)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H1ad.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_Hbb.
% 21.51/21.69 cut (((e3) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 21.51/21.69 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 21.51/21.69 congruence.
% 21.51/21.69 apply zenon_Hbe. apply refl_equal.
% 21.51/21.69 apply zenon_H114. apply sym_equal. exact zenon_Hfe.
% 21.51/21.69 apply zenon_Hbe. apply refl_equal.
% 21.51/21.69 apply zenon_Hbe. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L178_ *)
% 21.51/21.69 assert (zenon_L179_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H13a zenon_Ha0 zenon_H1e zenon_Hb6 zenon_H3d zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.51/21.69 apply (zenon_L41_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.51/21.69 apply (zenon_L55_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.51/21.69 apply (zenon_L178_); trivial.
% 21.51/21.69 apply (zenon_L154_); trivial.
% 21.51/21.69 (* end of lemma zenon_L179_ *)
% 21.51/21.69 assert (zenon_L180_ : ((op (e2) (e0)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H65 zenon_H67 zenon_H2c.
% 21.51/21.69 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H1ae | zenon_intro zenon_H86 ].
% 21.51/21.69 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e0) (e0)) = (op (e2) (e0)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H2c.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H1ae.
% 21.51/21.69 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 21.51/21.69 cut (((op (e2) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1af].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e0) (e0)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H1af.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H65.
% 21.51/21.69 cut (((e2) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1b0].
% 21.51/21.69 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 21.51/21.69 congruence.
% 21.51/21.69 apply zenon_H86. apply refl_equal.
% 21.51/21.69 apply zenon_H1b0. apply sym_equal. exact zenon_H67.
% 21.51/21.69 apply zenon_H86. apply refl_equal.
% 21.51/21.69 apply zenon_H86. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L180_ *)
% 21.51/21.69 assert (zenon_L181_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H13a zenon_Ha0 zenon_H1e zenon_Ha9 zenon_H6e zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.51/21.69 apply (zenon_L41_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.51/21.69 apply (zenon_L110_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.51/21.69 apply (zenon_L178_); trivial.
% 21.51/21.69 apply (zenon_L154_); trivial.
% 21.51/21.69 (* end of lemma zenon_L181_ *)
% 21.51/21.69 assert (zenon_L182_ : (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> ((op (e2) (e3)) = (e1)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_Hb6 zenon_Hb9 zenon_H128.
% 21.51/21.69 cut (((op (e2) (e3)) = (e3)) = ((e1) = (e3))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_Hb6.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_Hb9.
% 21.51/21.69 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.51/21.69 cut (((op (e2) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1b1].
% 21.51/21.69 congruence.
% 21.51/21.69 exact (zenon_H1b1 zenon_H128).
% 21.51/21.69 apply zenon_Ha2. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L182_ *)
% 21.51/21.69 assert (zenon_L183_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H13f zenon_H65 zenon_H77 zenon_Hf0 zenon_H3f zenon_H153 zenon_H111 zenon_Hb6 zenon_Hb9.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.51/21.69 apply (zenon_L30_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.51/21.69 apply (zenon_L118_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.51/21.69 apply (zenon_L148_); trivial.
% 21.51/21.69 apply (zenon_L182_); trivial.
% 21.51/21.69 (* end of lemma zenon_L183_ *)
% 21.51/21.69 assert (zenon_L184_ : ((op (e1) (e2)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H4d zenon_H153 zenon_H73.
% 21.51/21.69 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H4f | zenon_intro zenon_H50 ].
% 21.51/21.69 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H73.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H4f.
% 21.51/21.69 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.51/21.69 cut (((op (e1) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e0) (e2)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H74.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H4d.
% 21.51/21.69 cut (((e1) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1b2].
% 21.51/21.69 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.51/21.69 congruence.
% 21.51/21.69 apply zenon_H50. apply refl_equal.
% 21.51/21.69 apply zenon_H1b2. apply sym_equal. exact zenon_H153.
% 21.51/21.69 apply zenon_H50. apply refl_equal.
% 21.51/21.69 apply zenon_H50. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L184_ *)
% 21.51/21.69 assert (zenon_L185_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((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)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_Hb2 zenon_H1e zenon_H94 zenon_Hbc zenon_H24 zenon_H164 zenon_H163 zenon_H33 zenon_H13b zenon_H125 zenon_H158 zenon_H156 zenon_H139 zenon_Hcc zenon_Ha9 zenon_H55 zenon_H82 zenon_H7d zenon_H5d zenon_H4e zenon_H13a zenon_H13c zenon_H13d zenon_H140 zenon_H100 zenon_H12e zenon_H117 zenon_H109 zenon_H11a zenon_H121 zenon_H104 zenon_H13e zenon_H131 zenon_H129 zenon_H141 zenon_Hf5 zenon_Hfa zenon_Heb zenon_He4 zenon_He2 zenon_H6f zenon_H15d zenon_H2c zenon_Hb6 zenon_H111 zenon_Hf0 zenon_H77 zenon_H65 zenon_H13f zenon_H73 zenon_H153 zenon_H19a zenon_H68 zenon_Hf6 zenon_H48 zenon_Hb9 zenon_Ha0 zenon_H162.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.51/21.69 apply (zenon_L109_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.51/21.69 apply (zenon_L183_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.51/21.69 apply (zenon_L184_); trivial.
% 21.51/21.69 apply (zenon_L166_); trivial.
% 21.51/21.69 (* end of lemma zenon_L185_ *)
% 21.51/21.69 assert (zenon_L186_ : ((op (e1) (e1)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H3f zenon_Hef zenon_H77.
% 21.51/21.69 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 21.51/21.69 cut (((e2) = (e2)) = ((e1) = (e2))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H77.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H69.
% 21.51/21.69 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.51/21.69 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e1) (e1)) = (e1)) = ((e2) = (e1))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H78.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H3f.
% 21.51/21.69 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.51/21.69 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1b3].
% 21.51/21.69 congruence.
% 21.51/21.69 exact (zenon_H1b3 zenon_Hef).
% 21.51/21.69 apply zenon_H4a. apply refl_equal.
% 21.51/21.69 apply zenon_H6a. apply refl_equal.
% 21.51/21.69 apply zenon_H6a. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L186_ *)
% 21.51/21.69 assert (zenon_L187_ : ((op (e3) (e3)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H11f zenon_H155 zenon_H1b4.
% 21.51/21.69 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.51/21.69 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H1b4.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H12a.
% 21.51/21.69 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.51/21.69 cut (((op (e3) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1b5].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e0) (e3)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H1b5.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H11f.
% 21.51/21.69 cut (((e1) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 21.51/21.69 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.51/21.69 congruence.
% 21.51/21.69 apply zenon_H12b. apply refl_equal.
% 21.51/21.69 apply zenon_H1b6. apply sym_equal. exact zenon_H155.
% 21.51/21.69 apply zenon_H12b. apply refl_equal.
% 21.51/21.69 apply zenon_H12b. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L187_ *)
% 21.51/21.69 assert (zenon_L188_ : ((op (e3) (e3)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H17c zenon_H171 zenon_H1b7.
% 21.51/21.69 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.51/21.69 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H1b7.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H12a.
% 21.51/21.69 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.51/21.69 cut (((op (e3) (e3)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1b8].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e3) (e1)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H1b8.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H17c.
% 21.51/21.69 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 21.51/21.69 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.51/21.69 congruence.
% 21.51/21.69 apply zenon_H12b. apply refl_equal.
% 21.51/21.69 apply zenon_H172. apply sym_equal. exact zenon_H171.
% 21.51/21.69 apply zenon_H12b. apply refl_equal.
% 21.51/21.69 apply zenon_H12b. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L188_ *)
% 21.51/21.69 assert (zenon_L189_ : ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_Hc3 zenon_Hb9 zenon_H129.
% 21.51/21.69 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.51/21.69 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H129.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H12a.
% 21.51/21.69 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.51/21.69 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12c].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e2) (e3)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H12c.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_Hc3.
% 21.51/21.69 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1b9].
% 21.51/21.69 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.51/21.69 congruence.
% 21.51/21.69 apply zenon_H12b. apply refl_equal.
% 21.51/21.69 apply zenon_H1b9. apply sym_equal. exact zenon_Hb9.
% 21.51/21.69 apply zenon_H12b. apply refl_equal.
% 21.51/21.69 apply zenon_H12b. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L189_ *)
% 21.51/21.69 assert (zenon_L190_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_Hc0 zenon_Hc3 zenon_H129.
% 21.51/21.69 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 21.51/21.69 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 21.51/21.69 apply (zenon_L189_); trivial.
% 21.51/21.69 (* end of lemma zenon_L190_ *)
% 21.51/21.69 assert (zenon_L191_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H1a8 zenon_Ha9 zenon_Hdb zenon_H77 zenon_H3f zenon_H1ba zenon_H1bb zenon_H162 zenon_H1b4 zenon_H155 zenon_H1b7 zenon_Hc0 zenon_H129.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.51/21.69 apply (zenon_L110_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.51/21.69 apply (zenon_L186_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.51/21.69 exact (zenon_H1ba zenon_H6d).
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.51/21.69 exact (zenon_H162 zenon_H167).
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.51/21.69 apply (zenon_L187_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.51/21.69 apply (zenon_L188_); trivial.
% 21.51/21.69 apply (zenon_L190_); trivial.
% 21.51/21.69 (* end of lemma zenon_L191_ *)
% 21.51/21.69 assert (zenon_L192_ : ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H5c zenon_H155 zenon_Hf5.
% 21.51/21.69 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H5e | zenon_intro zenon_H5f ].
% 21.51/21.69 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_Hf5.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H5e.
% 21.51/21.69 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 21.51/21.69 cut (((op (e1) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1be].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e0) (e3)))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_H1be.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H5c.
% 21.51/21.69 cut (((e1) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 21.51/21.69 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 21.51/21.69 congruence.
% 21.51/21.69 apply zenon_H5f. apply refl_equal.
% 21.51/21.69 apply zenon_H1b6. apply sym_equal. exact zenon_H155.
% 21.51/21.69 apply zenon_H5f. apply refl_equal.
% 21.51/21.69 apply zenon_H5f. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L192_ *)
% 21.51/21.69 assert (zenon_L193_ : ((op (e0) (e2)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H66 zenon_Hfe zenon_Ha9.
% 21.51/21.69 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.51/21.69 cut (((e3) = (e3)) = ((e2) = (e3))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_Ha9.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_Ha1.
% 21.51/21.69 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.51/21.69 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 21.51/21.69 congruence.
% 21.51/21.69 cut (((op (e0) (e2)) = (e2)) = ((e3) = (e2))).
% 21.51/21.69 intro zenon_D_pnotp.
% 21.51/21.69 apply zenon_Haa.
% 21.51/21.69 rewrite <- zenon_D_pnotp.
% 21.51/21.69 exact zenon_H66.
% 21.51/21.69 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.51/21.69 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hff].
% 21.51/21.69 congruence.
% 21.51/21.69 exact (zenon_Hff zenon_Hfe).
% 21.51/21.69 apply zenon_H6a. apply refl_equal.
% 21.51/21.69 apply zenon_Ha2. apply refl_equal.
% 21.51/21.69 apply zenon_Ha2. apply refl_equal.
% 21.51/21.69 (* end of lemma zenon_L193_ *)
% 21.51/21.69 assert (zenon_L194_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (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) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H196 zenon_H177 zenon_Hb6 zenon_Ha9 zenon_H48 zenon_H13e zenon_H13d zenon_H131 zenon_H8b zenon_H104 zenon_H1a8 zenon_H1ba zenon_H1bb zenon_H162 zenon_H1b4 zenon_H1b7 zenon_Hc0 zenon_H129 zenon_Heb zenon_Hb2 zenon_Ha0 zenon_H1e zenon_H24 zenon_H164 zenon_H163 zenon_H33 zenon_H13b zenon_H125 zenon_H68 zenon_H158 zenon_H156 zenon_H139 zenon_Hcc zenon_H55 zenon_H82 zenon_H7d zenon_H5d zenon_H4e zenon_H13a zenon_H13c zenon_H140 zenon_H100 zenon_H12e zenon_H117 zenon_H111 zenon_H109 zenon_H11a zenon_H121 zenon_H13f zenon_H141 zenon_Hf0 zenon_Hfa zenon_He4 zenon_He2 zenon_H73 zenon_H6f zenon_H15d zenon_H2c zenon_Hf5 zenon_He3 zenon_H94 zenon_Hb9 zenon_Hbb zenon_Hbc zenon_H155 zenon_H77.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.51/21.69 apply (zenon_L20_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.51/21.69 apply (zenon_L181_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.51/21.69 apply (zenon_L41_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.51/21.69 apply (zenon_L41_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.51/21.69 apply (zenon_L116_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.51/21.69 exact (zenon_He3 zenon_He7).
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.51/21.69 apply (zenon_L109_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.51/21.69 apply (zenon_L191_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.51/21.69 apply (zenon_L117_); trivial.
% 21.51/21.69 apply (zenon_L192_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.51/21.69 apply (zenon_L46_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.51/21.69 apply (zenon_L191_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.51/21.69 apply (zenon_L130_); trivial.
% 21.51/21.69 apply (zenon_L157_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.51/21.69 apply (zenon_L47_); trivial.
% 21.51/21.69 apply (zenon_L48_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.51/21.69 apply (zenon_L193_); trivial.
% 21.51/21.69 apply (zenon_L115_); trivial.
% 21.51/21.69 apply (zenon_L98_); trivial.
% 21.51/21.69 (* end of lemma zenon_L194_ *)
% 21.51/21.69 assert (zenon_L195_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (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) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H19a zenon_H65 zenon_H196 zenon_H177 zenon_Hb6 zenon_Ha9 zenon_H48 zenon_H13e zenon_H13d zenon_H131 zenon_H8b zenon_H104 zenon_H1a8 zenon_H1ba zenon_H1bb zenon_H162 zenon_H1b4 zenon_H1b7 zenon_Hc0 zenon_H129 zenon_Heb zenon_Hb2 zenon_Ha0 zenon_H1e zenon_H24 zenon_H164 zenon_H163 zenon_H33 zenon_H13b zenon_H125 zenon_H68 zenon_H158 zenon_H156 zenon_H139 zenon_Hcc zenon_H55 zenon_H82 zenon_H7d zenon_H5d zenon_H4e zenon_H13a zenon_H13c zenon_H140 zenon_H100 zenon_H12e zenon_H117 zenon_H111 zenon_H109 zenon_H11a zenon_H121 zenon_H13f zenon_H141 zenon_Hf0 zenon_Hfa zenon_He4 zenon_He2 zenon_H73 zenon_H6f zenon_H15d zenon_H2c zenon_Hf5 zenon_He3 zenon_H94 zenon_Hb9 zenon_Hbb zenon_Hbc zenon_H77.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.51/21.69 apply (zenon_L13_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.51/21.69 apply (zenon_L179_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.51/21.69 apply (zenon_L180_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.51/21.69 apply (zenon_L181_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.51/21.69 apply (zenon_L94_); trivial.
% 21.51/21.69 apply (zenon_L185_); trivial.
% 21.51/21.69 apply (zenon_L194_); trivial.
% 21.51/21.69 (* end of lemma zenon_L195_ *)
% 21.51/21.69 assert (zenon_L196_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H13e zenon_H13d zenon_H1bf zenon_H8b zenon_Hbb zenon_H104.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H14c | zenon_intro zenon_H151 ].
% 21.51/21.69 exact (zenon_H13d zenon_H14c).
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H105 | zenon_intro zenon_H152 ].
% 21.51/21.69 exact (zenon_H1bf zenon_H105).
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H110 ].
% 21.51/21.69 exact (zenon_H8b zenon_H8a).
% 21.51/21.69 apply (zenon_L129_); trivial.
% 21.51/21.69 (* end of lemma zenon_L196_ *)
% 21.51/21.69 assert (zenon_L197_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H89 zenon_H13d zenon_H1bf zenon_H104 zenon_Hbb zenon_H13e.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.51/21.69 apply (zenon_L196_); trivial.
% 21.51/21.69 apply (zenon_L196_); trivial.
% 21.51/21.69 (* end of lemma zenon_L197_ *)
% 21.51/21.69 assert (zenon_L198_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H5a zenon_H82 zenon_H48 zenon_H1e zenon_H4e zenon_H55 zenon_Hb6 zenon_H9d.
% 21.51/21.69 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.51/21.69 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 21.51/21.69 apply (zenon_L135_); trivial.
% 21.51/21.69 (* end of lemma zenon_L198_ *)
% 21.51/21.69 assert (zenon_L199_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H125 zenon_H68 zenon_H1e zenon_H4e zenon_H72 zenon_H6d zenon_H55 zenon_Ha9 zenon_H9d.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.51/21.69 apply (zenon_L20_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.51/21.69 apply (zenon_L83_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.51/21.69 apply (zenon_L34_); trivial.
% 21.51/21.69 apply (zenon_L91_); trivial.
% 21.51/21.69 (* end of lemma zenon_L199_ *)
% 21.51/21.69 assert (zenon_L200_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_H87 zenon_H125 zenon_H68 zenon_H1e zenon_H4e zenon_H55 zenon_Ha9 zenon_H9d.
% 21.51/21.69 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 21.51/21.69 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 21.51/21.69 apply (zenon_L199_); trivial.
% 21.51/21.69 (* end of lemma zenon_L200_ *)
% 21.51/21.69 assert (zenon_L201_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.51/21.69 do 0 intro. intros zenon_Hc0 zenon_H9d zenon_Hbc.
% 21.51/21.69 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 21.51/21.69 apply (zenon_L48_); trivial.
% 21.51/21.69 (* end of lemma zenon_L201_ *)
% 21.51/21.69 assert (zenon_L202_ : ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 21.51/21.69 do 0 intro. intros zenon_Hcc zenon_H24 zenon_H33 zenon_Hb6 zenon_H77 zenon_H48 zenon_H82 zenon_H55 zenon_H4e zenon_H68 zenon_H125 zenon_H94 zenon_H7d zenon_H65 zenon_Ha9 zenon_H5d zenon_H1e zenon_Ha0 zenon_Hb2 zenon_Hbc zenon_H9d.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.51/21.69 apply (zenon_L2_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.51/21.69 apply (zenon_L4_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.51/21.69 apply (zenon_L28_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.51/21.69 apply (zenon_L8_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.51/21.69 apply (zenon_L9_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.51/21.69 apply (zenon_L11_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.51/21.69 apply (zenon_L198_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.51/21.69 apply (zenon_L33_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.51/21.69 apply (zenon_L19_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.51/21.69 apply (zenon_L200_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.51/21.69 apply (zenon_L37_); trivial.
% 21.51/21.69 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.51/21.70 apply (zenon_L39_); trivial.
% 21.51/21.70 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.51/21.70 apply (zenon_L40_); trivial.
% 21.51/21.70 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.51/21.70 apply (zenon_L45_); trivial.
% 21.51/21.70 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.51/21.70 apply (zenon_L201_); trivial.
% 21.51/21.70 apply (zenon_L51_); trivial.
% 21.51/21.70 (* end of lemma zenon_L202_ *)
% 21.51/21.70 assert (zenon_L203_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.51/21.70 do 0 intro. intros zenon_H1c0 zenon_H1e zenon_H24 zenon_H2c zenon_H33 zenon_H65 zenon_H16a zenon_H183 zenon_H179 zenon_H177 zenon_H173 zenon_He3 zenon_H5d zenon_H15d zenon_H68 zenon_H6f zenon_H73 zenon_He2 zenon_He4 zenon_Heb zenon_Hfa zenon_Hf5 zenon_Hf0 zenon_H141 zenon_H13f zenon_H129 zenon_H125 zenon_H131 zenon_H13e zenon_H104 zenon_H121 zenon_H11a zenon_H109 zenon_H111 zenon_H117 zenon_H12e zenon_H100 zenon_H140 zenon_H13c zenon_H13b zenon_H13a zenon_H7d zenon_H82 zenon_H55 zenon_H94 zenon_Ha0 zenon_Ha9 zenon_Hb2 zenon_Hb6 zenon_Hbc zenon_Hcc zenon_H139 zenon_H156 zenon_H158 zenon_H163 zenon_H164 zenon_H186 zenon_H189 zenon_H18a zenon_H18d zenon_H77 zenon_H4e zenon_H48 zenon_H190 zenon_H1a8 zenon_H1b4 zenon_H1b7 zenon_H1bb zenon_H19a zenon_H196.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H162 | zenon_intro zenon_H9d ].
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.52/21.70 apply (zenon_L2_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.52/21.70 apply (zenon_L4_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.52/21.70 apply (zenon_L6_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.52/21.70 apply (zenon_L8_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.52/21.70 apply (zenon_L9_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.52/21.70 apply (zenon_L11_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.52/21.70 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.52/21.70 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 21.52/21.70 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.52/21.70 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.52/21.70 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.52/21.70 exact (zenon_H7b zenon_H65).
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.52/21.70 apply (zenon_L177_); trivial.
% 21.52/21.70 apply (zenon_L177_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.52/21.70 apply (zenon_L33_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.52/21.70 apply (zenon_L19_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.52/21.70 apply (zenon_L35_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.52/21.70 apply (zenon_L37_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.52/21.70 apply (zenon_L39_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.52/21.70 apply (zenon_L40_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.52/21.70 apply (zenon_L45_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.52/21.70 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 21.52/21.70 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 21.52/21.70 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.52/21.70 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.52/21.70 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.52/21.70 exact (zenon_H7b zenon_H65).
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.52/21.70 apply (zenon_L195_); trivial.
% 21.52/21.70 apply (zenon_L195_); trivial.
% 21.52/21.70 apply (zenon_L197_); trivial.
% 21.52/21.70 apply (zenon_L51_); trivial.
% 21.52/21.70 apply (zenon_L202_); trivial.
% 21.52/21.70 (* end of lemma zenon_L203_ *)
% 21.52/21.70 assert (zenon_L204_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (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 (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H192 zenon_H7f zenon_H7d zenon_H1bb zenon_H1b7 zenon_H1b4 zenon_H4e zenon_H18d zenon_H18a zenon_H189 zenon_H186 zenon_H164 zenon_H163 zenon_H158 zenon_H156 zenon_H139 zenon_Hcc zenon_Hbc zenon_H94 zenon_H55 zenon_H82 zenon_H13c zenon_H140 zenon_H100 zenon_H12e zenon_H109 zenon_H11a zenon_H121 zenon_H104 zenon_H13e zenon_H131 zenon_H125 zenon_H129 zenon_H141 zenon_Hfa zenon_Heb zenon_He4 zenon_H73 zenon_H6f zenon_H15d zenon_H5d zenon_H173 zenon_H177 zenon_H179 zenon_H183 zenon_H33 zenon_H2c zenon_H24 zenon_H1c0 zenon_Hb2 zenon_H48 zenon_H19d zenon_H77 zenon_H68 zenon_H16a zenon_H195 zenon_H111 zenon_H13f zenon_Hf0 zenon_H162 zenon_Ha0 zenon_H19a zenon_H1a2 zenon_H190 zenon_H1a3 zenon_H117 zenon_H196 zenon_H13a zenon_H1e zenon_He2 zenon_He3 zenon_H1a8 zenon_H13b zenon_Hb6 zenon_Ha9 zenon_H5c zenon_Hf5.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.52/21.70 apply (zenon_L13_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.52/21.70 apply (zenon_L146_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.52/21.70 apply (zenon_L13_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.52/21.70 apply (zenon_L17_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.52/21.70 apply (zenon_L20_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.52/21.70 apply (zenon_L160_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.52/21.70 apply (zenon_L94_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.52/21.70 apply (zenon_L20_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.52/21.70 apply (zenon_L41_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.52/21.70 apply (zenon_L41_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.52/21.70 apply (zenon_L170_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.52/21.70 apply (zenon_L151_); trivial.
% 21.52/21.70 apply (zenon_L174_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.52/21.70 apply (zenon_L95_); trivial.
% 21.52/21.70 apply (zenon_L92_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.52/21.70 apply (zenon_L203_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.52/21.70 apply (zenon_L41_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.52/21.70 apply (zenon_L170_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.52/21.70 apply (zenon_L151_); trivial.
% 21.52/21.70 apply (zenon_L91_); trivial.
% 21.52/21.70 apply (zenon_L31_); trivial.
% 21.52/21.70 apply (zenon_L192_); trivial.
% 21.52/21.70 (* end of lemma zenon_L204_ *)
% 21.52/21.70 assert (zenon_L205_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H6f zenon_Hdb zenon_H10d.
% 21.52/21.70 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 21.52/21.70 intro zenon_D_pnotp.
% 21.52/21.70 apply zenon_H6f.
% 21.52/21.70 rewrite <- zenon_D_pnotp.
% 21.52/21.70 exact zenon_Hdb.
% 21.52/21.70 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10e].
% 21.52/21.70 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 21.52/21.70 congruence.
% 21.52/21.70 apply zenon_H193. apply refl_equal.
% 21.52/21.70 apply zenon_H10e. apply sym_equal. exact zenon_H10d.
% 21.52/21.70 (* end of lemma zenon_L205_ *)
% 21.52/21.70 assert (zenon_L206_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((e1) = (e2))) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H5c zenon_Hf7 zenon_H77.
% 21.52/21.70 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 21.52/21.70 cut (((e2) = (e2)) = ((e1) = (e2))).
% 21.52/21.70 intro zenon_D_pnotp.
% 21.52/21.70 apply zenon_H77.
% 21.52/21.70 rewrite <- zenon_D_pnotp.
% 21.52/21.70 exact zenon_H69.
% 21.52/21.70 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.52/21.70 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 21.52/21.70 congruence.
% 21.52/21.70 cut (((op (e1) (e3)) = (e1)) = ((e2) = (e1))).
% 21.52/21.70 intro zenon_D_pnotp.
% 21.52/21.70 apply zenon_H78.
% 21.52/21.70 rewrite <- zenon_D_pnotp.
% 21.52/21.70 exact zenon_H5c.
% 21.52/21.70 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.52/21.70 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1c1].
% 21.52/21.70 congruence.
% 21.52/21.70 exact (zenon_H1c1 zenon_Hf7).
% 21.52/21.70 apply zenon_H4a. apply refl_equal.
% 21.52/21.70 apply zenon_H6a. apply refl_equal.
% 21.52/21.70 apply zenon_H6a. apply refl_equal.
% 21.52/21.70 (* end of lemma zenon_L206_ *)
% 21.52/21.70 assert (zenon_L207_ : (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H1c2 zenon_H8a zenon_H93.
% 21.52/21.70 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e3)))).
% 21.52/21.70 intro zenon_D_pnotp.
% 21.52/21.70 apply zenon_H1c2.
% 21.52/21.70 rewrite <- zenon_D_pnotp.
% 21.52/21.70 exact zenon_H8a.
% 21.52/21.70 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 21.52/21.70 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 21.52/21.70 congruence.
% 21.52/21.70 apply zenon_H108. apply refl_equal.
% 21.52/21.70 apply zenon_H17d. apply sym_equal. exact zenon_H93.
% 21.52/21.70 (* end of lemma zenon_L207_ *)
% 21.52/21.70 assert (zenon_L208_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H1c3 zenon_H162 zenon_Ha0 zenon_Hb9 zenon_H48 zenon_H68 zenon_H19a zenon_H77 zenon_H5c zenon_H8a zenon_H1c2 zenon_H181.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.52/21.70 apply (zenon_L166_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.52/21.70 apply (zenon_L206_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.52/21.70 apply (zenon_L207_); trivial.
% 21.52/21.70 exact (zenon_H181 zenon_H17c).
% 21.52/21.70 (* end of lemma zenon_L208_ *)
% 21.52/21.70 assert (zenon_L209_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H1c3 zenon_H9e zenon_Ha9 zenon_H77 zenon_H5c zenon_H115 zenon_H68 zenon_H181.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.52/21.70 apply (zenon_L92_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.52/21.70 apply (zenon_L206_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.52/21.70 apply (zenon_L158_); trivial.
% 21.52/21.70 exact (zenon_H181 zenon_H17c).
% 21.52/21.70 (* end of lemma zenon_L209_ *)
% 21.52/21.70 assert (zenon_L210_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H19a zenon_Ha0 zenon_H48 zenon_H181 zenon_H68 zenon_H5c zenon_H77 zenon_Ha9 zenon_H9e zenon_H1c3 zenon_H162.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.52/21.70 apply (zenon_L156_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.52/21.70 apply (zenon_L157_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.52/21.70 apply (zenon_L209_); trivial.
% 21.52/21.70 exact (zenon_H162 zenon_H167).
% 21.52/21.70 (* end of lemma zenon_L210_ *)
% 21.52/21.70 assert (zenon_L211_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H1bb zenon_H162 zenon_H18a zenon_H7e zenon_H181 zenon_Hc4.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.52/21.70 exact (zenon_H162 zenon_H167).
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.52/21.70 apply (zenon_L140_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.52/21.70 exact (zenon_H181 zenon_H17c).
% 21.52/21.70 exact (zenon_Hc4 zenon_Hc3).
% 21.52/21.70 (* end of lemma zenon_L211_ *)
% 21.52/21.70 assert (zenon_L212_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (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) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H15d zenon_H192 zenon_Hc4 zenon_H181 zenon_H18a zenon_H162 zenon_H1bb zenon_H139 zenon_H13a zenon_H1e zenon_H7f zenon_H16a zenon_H195 zenon_H111 zenon_H13f zenon_H1c2 zenon_H6f zenon_H117 zenon_H196 zenon_He3 zenon_He2 zenon_Hb6 zenon_H19a zenon_Ha0 zenon_H48 zenon_H68 zenon_H77 zenon_Ha9 zenon_H1c3 zenon_H61 zenon_H5d zenon_H82 zenon_H5c zenon_Hf5.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.52/21.70 apply (zenon_L13_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.52/21.70 apply (zenon_L146_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.52/21.70 apply (zenon_L13_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.52/21.70 apply (zenon_L18_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.52/21.70 apply (zenon_L20_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.52/21.70 apply (zenon_L160_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.52/21.70 apply (zenon_L94_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.52/21.70 apply (zenon_L41_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.52/21.70 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.52/21.70 apply (zenon_L53_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.52/21.70 exact (zenon_He3 zenon_He7).
% 21.52/21.70 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.52/21.70 apply (zenon_L150_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.52/21.70 apply (zenon_L54_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.52/21.70 apply (zenon_L151_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.52/21.70 apply (zenon_L205_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.52/21.70 apply (zenon_L153_); trivial.
% 21.52/21.70 apply (zenon_L208_); trivial.
% 21.52/21.70 apply (zenon_L167_); trivial.
% 21.52/21.70 apply (zenon_L57_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.52/21.70 apply (zenon_L95_); trivial.
% 21.52/21.70 apply (zenon_L210_); trivial.
% 21.52/21.70 apply (zenon_L211_); trivial.
% 21.52/21.70 apply (zenon_L192_); trivial.
% 21.52/21.70 (* end of lemma zenon_L212_ *)
% 21.52/21.70 assert (zenon_L213_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H15c zenon_H158 zenon_H156 zenon_H3e zenon_H48 zenon_H1e zenon_H68 zenon_H6f zenon_H6d zenon_H73 zenon_H72 zenon_He2 zenon_H40 zenon_He4 zenon_He3 zenon_Heb zenon_Hfa zenon_Hf5 zenon_Hf0 zenon_H141 zenon_H13f zenon_H129 zenon_H87 zenon_H125 zenon_H131 zenon_H13e zenon_H104 zenon_H121 zenon_H11a zenon_H109 zenon_H111 zenon_H117 zenon_H12e zenon_H100 zenon_H140 zenon_H13d zenon_H13c zenon_H13b zenon_H13a zenon_H33 zenon_H4e zenon_H5d zenon_H7d zenon_H82 zenon_H55 zenon_H94 zenon_Ha0 zenon_Ha9 zenon_Hb2 zenon_Hb6 zenon_Hbc zenon_Hcc zenon_H77 zenon_H139 zenon_H15d.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.52/21.70 apply (zenon_L13_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.52/21.70 apply (zenon_L13_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.52/21.70 apply (zenon_L93_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.52/21.70 apply (zenon_L70_); trivial.
% 21.52/21.70 apply (zenon_L84_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.52/21.70 apply (zenon_L97_); trivial.
% 21.52/21.70 apply (zenon_L99_); trivial.
% 21.52/21.70 apply (zenon_L102_); trivial.
% 21.52/21.70 (* end of lemma zenon_L213_ *)
% 21.52/21.70 assert (zenon_L214_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e2))) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H3d zenon_H6e zenon_H77.
% 21.52/21.70 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 21.52/21.70 cut (((e2) = (e2)) = ((e1) = (e2))).
% 21.52/21.70 intro zenon_D_pnotp.
% 21.52/21.70 apply zenon_H77.
% 21.52/21.70 rewrite <- zenon_D_pnotp.
% 21.52/21.70 exact zenon_H69.
% 21.52/21.70 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.52/21.70 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 21.52/21.70 congruence.
% 21.52/21.70 cut (((op (e0) (e1)) = (e1)) = ((e2) = (e1))).
% 21.52/21.70 intro zenon_D_pnotp.
% 21.52/21.70 apply zenon_H78.
% 21.52/21.70 rewrite <- zenon_D_pnotp.
% 21.52/21.70 exact zenon_H3d.
% 21.52/21.70 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.52/21.70 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H194].
% 21.52/21.70 congruence.
% 21.52/21.70 exact (zenon_H194 zenon_H6e).
% 21.52/21.70 apply zenon_H4a. apply refl_equal.
% 21.52/21.70 apply zenon_H6a. apply refl_equal.
% 21.52/21.70 apply zenon_H6a. apply refl_equal.
% 21.52/21.70 (* end of lemma zenon_L214_ *)
% 21.52/21.70 assert (zenon_L215_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H139 zenon_H68 zenon_H1e zenon_H77 zenon_H3d zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.52/21.70 apply (zenon_L20_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.52/21.70 apply (zenon_L214_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.52/21.70 apply (zenon_L122_); trivial.
% 21.52/21.70 apply (zenon_L167_); trivial.
% 21.52/21.70 (* end of lemma zenon_L215_ *)
% 21.52/21.70 assert (zenon_L216_ : ((op (e1) (e1)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H3f zenon_H10c zenon_Hb6.
% 21.52/21.70 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.52/21.70 cut (((e3) = (e3)) = ((e1) = (e3))).
% 21.52/21.70 intro zenon_D_pnotp.
% 21.52/21.70 apply zenon_Hb6.
% 21.52/21.70 rewrite <- zenon_D_pnotp.
% 21.52/21.70 exact zenon_Ha1.
% 21.52/21.70 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.52/21.70 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 21.52/21.70 congruence.
% 21.52/21.70 cut (((op (e1) (e1)) = (e1)) = ((e3) = (e1))).
% 21.52/21.70 intro zenon_D_pnotp.
% 21.52/21.70 apply zenon_Hb7.
% 21.52/21.70 rewrite <- zenon_D_pnotp.
% 21.52/21.70 exact zenon_H3f.
% 21.52/21.70 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.52/21.70 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 21.52/21.70 congruence.
% 21.52/21.70 exact (zenon_H159 zenon_H10c).
% 21.52/21.70 apply zenon_H4a. apply refl_equal.
% 21.52/21.70 apply zenon_Ha2. apply refl_equal.
% 21.52/21.70 apply zenon_Ha2. apply refl_equal.
% 21.52/21.70 (* end of lemma zenon_L216_ *)
% 21.52/21.70 assert (zenon_L217_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H2d zenon_H54 zenon_H48.
% 21.52/21.70 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H49 | zenon_intro zenon_H4a ].
% 21.52/21.70 cut (((e1) = (e1)) = ((e0) = (e1))).
% 21.52/21.70 intro zenon_D_pnotp.
% 21.52/21.70 apply zenon_H48.
% 21.52/21.70 rewrite <- zenon_D_pnotp.
% 21.52/21.70 exact zenon_H49.
% 21.52/21.70 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.52/21.70 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 21.52/21.70 congruence.
% 21.52/21.70 cut (((op (e2) (e0)) = (e0)) = ((e1) = (e0))).
% 21.52/21.70 intro zenon_D_pnotp.
% 21.52/21.70 apply zenon_H4b.
% 21.52/21.70 rewrite <- zenon_D_pnotp.
% 21.52/21.70 exact zenon_H2d.
% 21.52/21.70 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.52/21.70 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 21.52/21.70 congruence.
% 21.52/21.70 exact (zenon_H7c zenon_H54).
% 21.52/21.70 apply zenon_H46. apply refl_equal.
% 21.52/21.70 apply zenon_H4a. apply refl_equal.
% 21.52/21.70 apply zenon_H4a. apply refl_equal.
% 21.52/21.70 (* end of lemma zenon_L217_ *)
% 21.52/21.70 assert (zenon_L218_ : (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e1)) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H77 zenon_H93 zenon_H128.
% 21.52/21.70 cut (((op (e2) (e3)) = (e2)) = ((e1) = (e2))).
% 21.52/21.70 intro zenon_D_pnotp.
% 21.52/21.70 apply zenon_H77.
% 21.52/21.70 rewrite <- zenon_D_pnotp.
% 21.52/21.70 exact zenon_H93.
% 21.52/21.70 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.52/21.70 cut (((op (e2) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1b1].
% 21.52/21.70 congruence.
% 21.52/21.70 exact (zenon_H1b1 zenon_H128).
% 21.52/21.70 apply zenon_H6a. apply refl_equal.
% 21.52/21.70 (* end of lemma zenon_L218_ *)
% 21.52/21.70 assert (zenon_L219_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H13f zenon_H48 zenon_H2d zenon_Hf0 zenon_H3f zenon_H153 zenon_H111 zenon_H77 zenon_H93.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.52/21.70 apply (zenon_L217_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.52/21.70 apply (zenon_L118_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.52/21.70 apply (zenon_L148_); trivial.
% 21.52/21.70 apply (zenon_L218_); trivial.
% 21.52/21.70 (* end of lemma zenon_L219_ *)
% 21.52/21.70 assert (zenon_L220_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H1c6 zenon_Ha9 zenon_H6e zenon_Hb6 zenon_H93 zenon_H68 zenon_H13d zenon_Ha0 zenon_H13f zenon_H48 zenon_Hf0 zenon_H3f zenon_H153 zenon_H111 zenon_H77 zenon_H141 zenon_H1c7.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.52/21.70 apply (zenon_L110_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.52/21.70 apply (zenon_L216_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.52/21.70 apply (zenon_L219_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.52/21.70 apply (zenon_L152_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.52/21.70 exact (zenon_H13d zenon_H14c).
% 21.52/21.70 apply (zenon_L158_); trivial.
% 21.52/21.70 exact (zenon_H1c7 zenon_Hac).
% 21.52/21.70 (* end of lemma zenon_L220_ *)
% 21.52/21.70 assert (zenon_L221_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 21.52/21.70 do 0 intro. intros zenon_Hb1 zenon_H9d zenon_H7d.
% 21.52/21.70 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 21.52/21.70 apply (zenon_L44_); trivial.
% 21.52/21.70 (* end of lemma zenon_L221_ *)
% 21.52/21.70 assert (zenon_L222_ : ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> False).
% 21.52/21.70 do 0 intro. intros zenon_Hcc zenon_H48 zenon_H2c zenon_H33 zenon_H5d zenon_Ha9 zenon_H55 zenon_H4e zenon_H77 zenon_H68 zenon_H125 zenon_H7d zenon_H9d zenon_Hbc zenon_H94 zenon_H3c zenon_Hb6 zenon_H1e zenon_Ha0 zenon_Hb2.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.52/21.70 apply (zenon_L2_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.52/21.70 apply (zenon_L26_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.52/21.70 apply (zenon_L6_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.52/21.70 apply (zenon_L8_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.52/21.70 apply (zenon_L9_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.52/21.70 apply (zenon_L11_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.52/21.70 apply (zenon_L16_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.52/21.70 apply (zenon_L18_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.52/21.70 apply (zenon_L19_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.52/21.70 apply (zenon_L200_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.52/21.70 apply (zenon_L37_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.52/21.70 apply (zenon_L106_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.52/21.70 apply (zenon_L40_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.52/21.70 apply (zenon_L221_); trivial.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.52/21.70 apply (zenon_L49_); trivial.
% 21.52/21.70 apply (zenon_L51_); trivial.
% 21.52/21.70 (* end of lemma zenon_L222_ *)
% 21.52/21.70 assert (zenon_L223_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False).
% 21.52/21.70 do 0 intro. intros zenon_H1ca zenon_H164 zenon_H163 zenon_H158 zenon_H156 zenon_H48 zenon_H139 zenon_H77 zenon_Hcc zenon_Hbc zenon_Hb6 zenon_Hb2 zenon_Ha9 zenon_Ha0 zenon_H94 zenon_H55 zenon_H82 zenon_H7d zenon_H13a zenon_H13b zenon_H13c zenon_H140 zenon_H100 zenon_H12e zenon_H117 zenon_H111 zenon_H109 zenon_H11a zenon_H121 zenon_H104 zenon_H13e zenon_H131 zenon_H125 zenon_H129 zenon_H13f zenon_H141 zenon_Hf0 zenon_Hf5 zenon_Hfa zenon_Heb zenon_He4 zenon_He2 zenon_H73 zenon_H6f zenon_H68 zenon_H15d zenon_H5d zenon_H4e zenon_H3c zenon_H33 zenon_H2c zenon_H24 zenon_H1e zenon_H1c0.
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H13d | zenon_intro zenon_H65 ].
% 21.52/21.70 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H162 | zenon_intro zenon_H9d ].
% 21.52/21.70 apply (zenon_L109_); trivial.
% 21.52/21.70 apply (zenon_L222_); trivial.
% 21.52/21.70 apply (zenon_L52_); trivial.
% 21.52/21.70 (* end of lemma zenon_L223_ *)
% 21.52/21.70 assert (zenon_L224_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e0)) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H1c0 zenon_H1e zenon_H24 zenon_H2c zenon_H33 zenon_H4e zenon_H5d zenon_H15d zenon_H6f zenon_He2 zenon_He4 zenon_Heb zenon_Hfa zenon_Hf5 zenon_H129 zenon_H125 zenon_H131 zenon_H13e zenon_H104 zenon_H121 zenon_H11a zenon_H109 zenon_H117 zenon_H12e zenon_H100 zenon_H140 zenon_H13c zenon_H13b zenon_H13a zenon_H7d zenon_H82 zenon_H55 zenon_H94 zenon_Hb2 zenon_Hbc zenon_Hcc zenon_H139 zenon_H156 zenon_H158 zenon_H163 zenon_H164 zenon_H1ca zenon_H1c7 zenon_H141 zenon_H77 zenon_H111 zenon_Hf0 zenon_H13f zenon_Ha0 zenon_H13d zenon_H68 zenon_H93 zenon_Hb6 zenon_H6e zenon_Ha9 zenon_H1c6 zenon_H73 zenon_H153 zenon_H48 zenon_H136.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.71 apply (zenon_L223_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.71 apply (zenon_L220_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.71 apply (zenon_L184_); trivial.
% 21.54/21.71 apply (zenon_L157_); trivial.
% 21.54/21.71 (* end of lemma zenon_L224_ *)
% 21.54/21.71 assert (zenon_L225_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_Hbc zenon_H160 zenon_H1c0 zenon_H1e zenon_H24 zenon_H2c zenon_H33 zenon_H16a zenon_H183 zenon_H179 zenon_H177 zenon_H173 zenon_He3 zenon_H5d zenon_H15d zenon_H68 zenon_H6f zenon_H73 zenon_He2 zenon_He4 zenon_Heb zenon_Hfa zenon_Hf5 zenon_Hf0 zenon_H141 zenon_H13f zenon_H129 zenon_H125 zenon_H131 zenon_H13e zenon_H104 zenon_H121 zenon_H11a zenon_H109 zenon_H111 zenon_H117 zenon_H12e zenon_H100 zenon_H140 zenon_H13c zenon_H13b zenon_H13a zenon_H7d zenon_H82 zenon_H55 zenon_H94 zenon_Ha0 zenon_Ha9 zenon_Hb2 zenon_Hb6 zenon_Hcc zenon_H139 zenon_H156 zenon_H158 zenon_H163 zenon_H164 zenon_H186 zenon_H189 zenon_H18a zenon_H18d zenon_H4e zenon_H48 zenon_H190 zenon_H1a8 zenon_H1b4 zenon_H1b7 zenon_H1bb zenon_H19a zenon_H162 zenon_H1ca zenon_H1c7 zenon_H13d zenon_H1c6 zenon_H153 zenon_H77 zenon_H93 zenon_H196.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.71 apply (zenon_L20_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.71 apply (zenon_L20_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.71 apply (zenon_L41_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.71 apply (zenon_L110_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.71 apply (zenon_L95_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.71 apply (zenon_L171_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.71 exact (zenon_He3 zenon_He7).
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.71 apply (zenon_L24_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.71 apply (zenon_L220_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.71 apply (zenon_L117_); trivial.
% 21.54/21.71 apply (zenon_L159_); trivial.
% 21.54/21.71 apply (zenon_L224_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.71 apply (zenon_L203_); trivial.
% 21.54/21.71 apply (zenon_L104_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.71 apply (zenon_L94_); trivial.
% 21.54/21.71 apply (zenon_L167_); trivial.
% 21.54/21.71 (* end of lemma zenon_L225_ *)
% 21.54/21.71 assert (zenon_L226_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H173 zenon_H6e zenon_Hef.
% 21.54/21.71 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H173.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H6e.
% 21.54/21.71 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 21.54/21.71 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 21.54/21.71 congruence.
% 21.54/21.71 apply zenon_H193. apply refl_equal.
% 21.54/21.71 apply zenon_Hf2. apply sym_equal. exact zenon_Hef.
% 21.54/21.71 (* end of lemma zenon_L226_ *)
% 21.54/21.71 assert (zenon_L227_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H163 zenon_H72 zenon_H160.
% 21.54/21.71 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H163.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H72.
% 21.54/21.71 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H178].
% 21.54/21.71 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.54/21.71 congruence.
% 21.54/21.71 apply zenon_H50. apply refl_equal.
% 21.54/21.71 apply zenon_H178. apply sym_equal. exact zenon_H160.
% 21.54/21.71 (* end of lemma zenon_L227_ *)
% 21.54/21.71 assert (zenon_L228_ : ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H93 zenon_Hf7 zenon_H195.
% 21.54/21.71 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 21.54/21.71 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H195.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H95.
% 21.54/21.71 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 21.54/21.71 cut (((op (e2) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ab].
% 21.54/21.71 congruence.
% 21.54/21.71 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e1) (e3)))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H1ab.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H93.
% 21.54/21.71 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 21.54/21.71 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 21.54/21.71 congruence.
% 21.54/21.71 apply zenon_H96. apply refl_equal.
% 21.54/21.71 apply zenon_Hf8. apply sym_equal. exact zenon_Hf7.
% 21.54/21.71 apply zenon_H96. apply refl_equal.
% 21.54/21.71 apply zenon_H96. apply refl_equal.
% 21.54/21.71 (* end of lemma zenon_L228_ *)
% 21.54/21.71 assert (zenon_L229_ : (((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 (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_Hfa zenon_H68 zenon_H25 zenon_H6e zenon_H173 zenon_H160 zenon_H163 zenon_H93 zenon_H195.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.71 apply (zenon_L171_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.71 apply (zenon_L226_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.71 apply (zenon_L227_); trivial.
% 21.54/21.71 apply (zenon_L228_); trivial.
% 21.54/21.71 (* end of lemma zenon_L229_ *)
% 21.54/21.71 assert (zenon_L230_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H1c6 zenon_Ha9 zenon_H6e zenon_Hb6 zenon_H3f zenon_H93 zenon_H68 zenon_H13d zenon_Ha0 zenon_H2c zenon_H1e zenon_H141 zenon_H1c7.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.54/21.71 apply (zenon_L110_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.54/21.71 apply (zenon_L216_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.71 apply (zenon_L5_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.71 apply (zenon_L152_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.71 exact (zenon_H13d zenon_H14c).
% 21.54/21.71 apply (zenon_L158_); trivial.
% 21.54/21.71 exact (zenon_H1c7 zenon_Hac).
% 21.54/21.71 (* end of lemma zenon_L230_ *)
% 21.54/21.71 assert (zenon_L231_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H104 zenon_H8a zenon_H160.
% 21.54/21.71 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H104.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H8a.
% 21.54/21.71 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H178].
% 21.54/21.71 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 21.54/21.71 congruence.
% 21.54/21.71 apply zenon_H108. apply refl_equal.
% 21.54/21.71 apply zenon_H178. apply sym_equal. exact zenon_H160.
% 21.54/21.71 (* end of lemma zenon_L231_ *)
% 21.54/21.71 assert (zenon_L232_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H99 zenon_H104 zenon_H8a.
% 21.54/21.71 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.54/21.71 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 21.54/21.71 apply (zenon_L231_); trivial.
% 21.54/21.71 (* end of lemma zenon_L232_ *)
% 21.54/21.71 assert (zenon_L233_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H13e zenon_H13d zenon_H4d zenon_H131 zenon_H104 zenon_H99 zenon_Hfe zenon_H111.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H14c | zenon_intro zenon_H151 ].
% 21.54/21.71 exact (zenon_H13d zenon_H14c).
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H105 | zenon_intro zenon_H152 ].
% 21.54/21.71 apply (zenon_L128_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H110 ].
% 21.54/21.71 apply (zenon_L232_); trivial.
% 21.54/21.71 apply (zenon_L75_); trivial.
% 21.54/21.71 (* end of lemma zenon_L233_ *)
% 21.54/21.71 assert (zenon_L234_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e0)) -> False).
% 21.54/21.71 do 0 intro. intros zenon_Heb zenon_Hbc zenon_H160 zenon_H94 zenon_H77 zenon_H125 zenon_H1c7 zenon_H141 zenon_H1e zenon_H2c zenon_Ha0 zenon_H68 zenon_H93 zenon_Hb6 zenon_H6e zenon_Ha9 zenon_H1c6 zenon_H111 zenon_Hfe zenon_H99 zenon_H104 zenon_H131 zenon_H13d zenon_H13e zenon_H48 zenon_H136.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.71 apply (zenon_L105_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.71 apply (zenon_L230_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.71 apply (zenon_L233_); trivial.
% 21.54/21.71 apply (zenon_L157_); trivial.
% 21.54/21.71 (* end of lemma zenon_L234_ *)
% 21.54/21.71 assert (zenon_L235_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H139 zenon_Hb6 zenon_H13b zenon_H195 zenon_H163 zenon_H173 zenon_Hfa zenon_He3 zenon_Hf5 zenon_H100 zenon_H54 zenon_Heb zenon_Hbc zenon_H94 zenon_H125 zenon_H1c7 zenon_H141 zenon_H1e zenon_H2c zenon_Ha0 zenon_H68 zenon_H93 zenon_Ha9 zenon_H1c6 zenon_H111 zenon_H99 zenon_H104 zenon_H131 zenon_H13d zenon_H13e zenon_H48 zenon_H13a zenon_H160 zenon_H177 zenon_H155 zenon_H77.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.71 apply (zenon_L20_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.71 apply (zenon_L41_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.71 apply (zenon_L110_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.71 apply (zenon_L229_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.71 exact (zenon_He3 zenon_He7).
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.71 apply (zenon_L69_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.71 apply (zenon_L230_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.71 apply (zenon_L117_); trivial.
% 21.54/21.71 apply (zenon_L192_); trivial.
% 21.54/21.71 apply (zenon_L234_); trivial.
% 21.54/21.71 apply (zenon_L115_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.71 apply (zenon_L122_); trivial.
% 21.54/21.71 apply (zenon_L98_); trivial.
% 21.54/21.71 (* end of lemma zenon_L235_ *)
% 21.54/21.71 assert (zenon_L236_ : ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H17c zenon_H160 zenon_H1cb.
% 21.54/21.71 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.54/21.71 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e2)) = (op (e3) (e3)))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H1cb.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H12a.
% 21.54/21.71 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.71 cut (((op (e3) (e3)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1cc].
% 21.54/21.71 congruence.
% 21.54/21.71 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e3) (e2)))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H1cc.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H17c.
% 21.54/21.71 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H178].
% 21.54/21.71 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.71 congruence.
% 21.54/21.71 apply zenon_H12b. apply refl_equal.
% 21.54/21.71 apply zenon_H178. apply sym_equal. exact zenon_H160.
% 21.54/21.71 apply zenon_H12b. apply refl_equal.
% 21.54/21.71 apply zenon_H12b. apply refl_equal.
% 21.54/21.71 (* end of lemma zenon_L236_ *)
% 21.54/21.71 assert (zenon_L237_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H1bb zenon_H162 zenon_H120 zenon_H1cb zenon_H160 zenon_Hc4.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.54/21.71 exact (zenon_H162 zenon_H167).
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.54/21.71 exact (zenon_H120 zenon_H11f).
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.54/21.71 apply (zenon_L236_); trivial.
% 21.54/21.71 exact (zenon_Hc4 zenon_Hc3).
% 21.54/21.71 (* end of lemma zenon_L237_ *)
% 21.54/21.71 assert (zenon_L238_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_Hc2 zenon_H162 zenon_H120 zenon_H1cb zenon_H160 zenon_H1bb.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.54/21.71 apply (zenon_L237_); trivial.
% 21.54/21.71 apply (zenon_L237_); trivial.
% 21.54/21.71 (* end of lemma zenon_L238_ *)
% 21.54/21.71 assert (zenon_L239_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H31 zenon_H153 zenon_H48.
% 21.54/21.71 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H49 | zenon_intro zenon_H4a ].
% 21.54/21.71 cut (((e1) = (e1)) = ((e0) = (e1))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H48.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H49.
% 21.54/21.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.54/21.71 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 21.54/21.71 congruence.
% 21.54/21.71 cut (((op (e0) (e2)) = (e0)) = ((e1) = (e0))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H4b.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H31.
% 21.54/21.71 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.54/21.71 cut (((op (e0) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 21.54/21.71 congruence.
% 21.54/21.71 exact (zenon_H154 zenon_H153).
% 21.54/21.71 apply zenon_H46. apply refl_equal.
% 21.54/21.71 apply zenon_H4a. apply refl_equal.
% 21.54/21.71 apply zenon_H4a. apply refl_equal.
% 21.54/21.71 (* end of lemma zenon_L239_ *)
% 21.54/21.71 assert (zenon_L240_ : ((op (e3) (e2)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H160 zenon_H171 zenon_H1cd.
% 21.54/21.71 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ].
% 21.54/21.71 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H1cd.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_Hbd.
% 21.54/21.71 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 21.54/21.71 cut (((op (e3) (e2)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 21.54/21.71 congruence.
% 21.54/21.71 cut (((op (e3) (e2)) = (e2)) = ((op (e3) (e2)) = (op (e3) (e1)))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H1ce.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H160.
% 21.54/21.71 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 21.54/21.71 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 21.54/21.71 congruence.
% 21.54/21.71 apply zenon_Hbe. apply refl_equal.
% 21.54/21.71 apply zenon_H172. apply sym_equal. exact zenon_H171.
% 21.54/21.71 apply zenon_Hbe. apply refl_equal.
% 21.54/21.71 apply zenon_Hbe. apply refl_equal.
% 21.54/21.71 (* end of lemma zenon_L240_ *)
% 21.54/21.71 assert (zenon_L241_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H1cf zenon_H153 zenon_H77 zenon_Hf3 zenon_H68 zenon_H8b zenon_H171 zenon_H1cd.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.71 apply (zenon_L94_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.71 apply (zenon_L62_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.71 exact (zenon_H8b zenon_H8a).
% 21.54/21.71 apply (zenon_L240_); trivial.
% 21.54/21.71 (* end of lemma zenon_L241_ *)
% 21.54/21.71 assert (zenon_L242_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H1a8 zenon_H196 zenon_Hb9 zenon_H177 zenon_Ha9 zenon_H1e zenon_H13a zenon_H3f zenon_H1ba zenon_H140 zenon_H48 zenon_H1cd zenon_H8b zenon_H68 zenon_H77 zenon_H153 zenon_H1cf zenon_H13d zenon_Ha0 zenon_Hbb.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.54/21.71 apply (zenon_L181_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.54/21.71 apply (zenon_L186_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.54/21.71 exact (zenon_H1ba zenon_H6d).
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.71 apply (zenon_L239_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.71 apply (zenon_L241_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.71 exact (zenon_H13d zenon_H14c).
% 21.54/21.71 apply (zenon_L80_); trivial.
% 21.54/21.71 (* end of lemma zenon_L242_ *)
% 21.54/21.71 assert (zenon_L243_ : (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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 (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e1))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_He3 zenon_H162 zenon_Hf6 zenon_H19a zenon_H2c zenon_H15d zenon_H6f zenon_H73 zenon_He2 zenon_He4 zenon_Hfa zenon_Hf5 zenon_Hf0 zenon_H141 zenon_H13f zenon_H129 zenon_H121 zenon_H11a zenon_H109 zenon_H111 zenon_H117 zenon_H12e zenon_H100 zenon_H13c zenon_H4e zenon_H5d zenon_H7d zenon_H82 zenon_H55 zenon_Hcc zenon_H139 zenon_H156 zenon_H158 zenon_H125 zenon_H13b zenon_H33 zenon_H163 zenon_H164 zenon_H24 zenon_Hbc zenon_H94 zenon_Hb2 zenon_Heb zenon_Hb6 zenon_Ha6 zenon_Ha0 zenon_H1cf zenon_H153 zenon_H77 zenon_H68 zenon_H1cd zenon_H140 zenon_H1ba zenon_H13a zenon_H1e zenon_Ha9 zenon_H177 zenon_Hb9 zenon_H196 zenon_H1a8 zenon_H104 zenon_Hbb zenon_H8b zenon_H131 zenon_H13d zenon_H13e zenon_H48.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.71 apply (zenon_L116_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.71 exact (zenon_He3 zenon_He7).
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.71 apply (zenon_L109_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.71 apply (zenon_L242_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.71 apply (zenon_L117_); trivial.
% 21.54/21.71 apply (zenon_L166_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.71 apply (zenon_L46_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.71 apply (zenon_L242_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.71 apply (zenon_L130_); trivial.
% 21.54/21.71 apply (zenon_L157_); trivial.
% 21.54/21.71 (* end of lemma zenon_L243_ *)
% 21.54/21.71 assert (zenon_L244_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (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) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H19a zenon_H1cf zenon_H1cd zenon_H196 zenon_H177 zenon_Hb6 zenon_Ha9 zenon_H48 zenon_H13e zenon_H13d zenon_H131 zenon_H8b zenon_H104 zenon_H1a8 zenon_H1ba zenon_H1bb zenon_H162 zenon_H1b4 zenon_H1b7 zenon_Hc0 zenon_H129 zenon_Heb zenon_Hb2 zenon_Ha0 zenon_H1e zenon_H24 zenon_H164 zenon_H163 zenon_H33 zenon_H13b zenon_H125 zenon_H68 zenon_H158 zenon_H156 zenon_H139 zenon_Hcc zenon_H55 zenon_H82 zenon_H7d zenon_H5d zenon_H4e zenon_H13a zenon_H13c zenon_H140 zenon_H100 zenon_H12e zenon_H117 zenon_H111 zenon_H109 zenon_H11a zenon_H121 zenon_H13f zenon_H141 zenon_Hf0 zenon_Hfa zenon_He4 zenon_He2 zenon_H73 zenon_H6f zenon_H15d zenon_H2c zenon_Hf5 zenon_He3 zenon_H94 zenon_Hb9 zenon_Hbb zenon_Hbc zenon_H77.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.71 apply (zenon_L13_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.71 apply (zenon_L179_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.71 apply (zenon_L20_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.71 apply (zenon_L181_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.71 apply (zenon_L94_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.71 apply (zenon_L41_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.71 apply (zenon_L243_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.71 apply (zenon_L47_); trivial.
% 21.54/21.71 apply (zenon_L48_); trivial.
% 21.54/21.71 apply (zenon_L194_); trivial.
% 21.54/21.71 (* end of lemma zenon_L244_ *)
% 21.54/21.71 assert (zenon_L245_ : ((op (e3) (e0)) = (e3)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H9d zenon_H9f zenon_H33.
% 21.54/21.71 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H10a | zenon_intro zenon_H81 ].
% 21.54/21.71 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e0) (e0)) = (op (e3) (e0)))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H33.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H10a.
% 21.54/21.71 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 21.54/21.71 cut (((op (e3) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d2].
% 21.54/21.71 congruence.
% 21.54/21.71 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e0) (e0)))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H1d2.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H9d.
% 21.54/21.71 cut (((e3) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d3].
% 21.54/21.71 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 21.54/21.71 congruence.
% 21.54/21.71 apply zenon_H81. apply refl_equal.
% 21.54/21.71 apply zenon_H1d3. apply sym_equal. exact zenon_H9f.
% 21.54/21.71 apply zenon_H81. apply refl_equal.
% 21.54/21.71 apply zenon_H81. apply refl_equal.
% 21.54/21.71 (* end of lemma zenon_L245_ *)
% 21.54/21.71 assert (zenon_L246_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H38 zenon_H155 zenon_H48.
% 21.54/21.71 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H49 | zenon_intro zenon_H4a ].
% 21.54/21.71 cut (((e1) = (e1)) = ((e0) = (e1))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H48.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H49.
% 21.54/21.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.54/21.71 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 21.54/21.71 congruence.
% 21.54/21.71 cut (((op (e0) (e3)) = (e0)) = ((e1) = (e0))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H4b.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H38.
% 21.54/21.71 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.54/21.71 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 21.54/21.71 congruence.
% 21.54/21.71 exact (zenon_H16f zenon_H155).
% 21.54/21.71 apply zenon_H46. apply refl_equal.
% 21.54/21.71 apply zenon_H4a. apply refl_equal.
% 21.54/21.71 apply zenon_H4a. apply refl_equal.
% 21.54/21.71 (* end of lemma zenon_L246_ *)
% 21.54/21.71 assert (zenon_L247_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H19a zenon_H48 zenon_H155 zenon_Ha5 zenon_Ha0 zenon_H93 zenon_H68 zenon_H162.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.54/21.71 apply (zenon_L246_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.54/21.71 apply (zenon_L90_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.54/21.71 apply (zenon_L158_); trivial.
% 21.54/21.71 exact (zenon_H162 zenon_H167).
% 21.54/21.71 (* end of lemma zenon_L247_ *)
% 21.54/21.71 assert (zenon_L248_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H13c zenon_H179 zenon_H9d zenon_Hb6 zenon_H3f zenon_Hfe zenon_H73 zenon_H19a zenon_H48 zenon_H155 zenon_Ha0 zenon_H93 zenon_H68 zenon_H162.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.71 apply (zenon_L123_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.71 apply (zenon_L216_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.71 apply (zenon_L89_); trivial.
% 21.54/21.71 apply (zenon_L247_); trivial.
% 21.54/21.71 (* end of lemma zenon_L248_ *)
% 21.54/21.71 assert (zenon_L249_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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)) = (e3)) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e1))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H13b zenon_He3 zenon_Hf5 zenon_Heb zenon_H77 zenon_H76 zenon_H162 zenon_H68 zenon_H93 zenon_Ha0 zenon_H155 zenon_H19a zenon_H73 zenon_Hb6 zenon_H9d zenon_H179 zenon_H13c zenon_H111 zenon_Hfe zenon_H99 zenon_H104 zenon_H131 zenon_H13d zenon_H13e zenon_H48.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.71 apply (zenon_L171_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.71 exact (zenon_He3 zenon_He7).
% 21.54/21.71 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.71 apply (zenon_L24_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.71 apply (zenon_L248_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.71 apply (zenon_L117_); trivial.
% 21.54/21.71 apply (zenon_L192_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.71 apply (zenon_L24_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.71 apply (zenon_L248_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.71 apply (zenon_L233_); trivial.
% 21.54/21.71 apply (zenon_L157_); trivial.
% 21.54/21.71 (* end of lemma zenon_L249_ *)
% 21.54/21.71 assert (zenon_L250_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_Heb zenon_H48 zenon_H25 zenon_H40 zenon_H1d4 zenon_Hec.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.71 apply (zenon_L25_); trivial.
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.71 exact (zenon_H40 zenon_H3f).
% 21.54/21.71 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.71 exact (zenon_H1d4 zenon_H4d).
% 21.54/21.71 exact (zenon_Hec zenon_H5c).
% 21.54/21.71 (* end of lemma zenon_L250_ *)
% 21.54/21.71 assert (zenon_L251_ : ((op (e0) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H47 zenon_H67 zenon_H77.
% 21.54/21.71 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 21.54/21.71 cut (((e2) = (e2)) = ((e1) = (e2))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H77.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H69.
% 21.54/21.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.54/21.71 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 21.54/21.71 congruence.
% 21.54/21.71 cut (((op (e0) (e0)) = (e1)) = ((e2) = (e1))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H78.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H47.
% 21.54/21.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.54/21.71 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 21.54/21.71 congruence.
% 21.54/21.71 exact (zenon_H6c zenon_H67).
% 21.54/21.71 apply zenon_H4a. apply refl_equal.
% 21.54/21.71 apply zenon_H6a. apply refl_equal.
% 21.54/21.71 apply zenon_H6a. apply refl_equal.
% 21.54/21.71 (* end of lemma zenon_L251_ *)
% 21.54/21.71 assert (zenon_L252_ : ((op (e0) (e2)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H66 zenon_H67 zenon_H1d5.
% 21.54/21.71 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H135 ].
% 21.54/21.71 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e0)) = (op (e0) (e2)))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H1d5.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H1d6.
% 21.54/21.71 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 21.54/21.71 cut (((op (e0) (e2)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d7].
% 21.54/21.71 congruence.
% 21.54/21.71 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e0) (e0)))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_H1d7.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H66.
% 21.54/21.71 cut (((e2) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1b0].
% 21.54/21.71 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 21.54/21.71 congruence.
% 21.54/21.71 apply zenon_H135. apply refl_equal.
% 21.54/21.71 apply zenon_H1b0. apply sym_equal. exact zenon_H67.
% 21.54/21.71 apply zenon_H135. apply refl_equal.
% 21.54/21.71 apply zenon_H135. apply refl_equal.
% 21.54/21.71 (* end of lemma zenon_L252_ *)
% 21.54/21.71 assert (zenon_L253_ : ((op (e0) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 21.54/21.71 do 0 intro. intros zenon_H47 zenon_H9f zenon_Hb6.
% 21.54/21.71 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.54/21.71 cut (((e3) = (e3)) = ((e1) = (e3))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_Hb6.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_Ha1.
% 21.54/21.71 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.54/21.71 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 21.54/21.71 congruence.
% 21.54/21.71 cut (((op (e0) (e0)) = (e1)) = ((e3) = (e1))).
% 21.54/21.71 intro zenon_D_pnotp.
% 21.54/21.71 apply zenon_Hb7.
% 21.54/21.71 rewrite <- zenon_D_pnotp.
% 21.54/21.71 exact zenon_H47.
% 21.54/21.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.54/21.72 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 21.54/21.72 congruence.
% 21.54/21.72 exact (zenon_Ha4 zenon_H9f).
% 21.54/21.72 apply zenon_H4a. apply refl_equal.
% 21.54/21.72 apply zenon_Ha2. apply refl_equal.
% 21.54/21.72 apply zenon_Ha2. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L253_ *)
% 21.54/21.72 assert (zenon_L254_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H31 zenon_H2a zenon_H1d8.
% 21.54/21.72 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H135 ].
% 21.54/21.72 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e1)) = (op (e0) (e2)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1d8.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H1d6.
% 21.54/21.72 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 21.54/21.72 cut (((op (e0) (e2)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1d9].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e0) (e1)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1d9.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H31.
% 21.54/21.72 cut (((e0) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 21.54/21.72 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H135. apply refl_equal.
% 21.54/21.72 apply zenon_H1da. apply sym_equal. exact zenon_H2a.
% 21.54/21.72 apply zenon_H135. apply refl_equal.
% 21.54/21.72 apply zenon_H135. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L254_ *)
% 21.54/21.72 assert (zenon_L255_ : ((op (e2) (e2)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H14c zenon_H105 zenon_H48.
% 21.54/21.72 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H49 | zenon_intro zenon_H4a ].
% 21.54/21.72 cut (((e1) = (e1)) = ((e0) = (e1))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H48.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H49.
% 21.54/21.72 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.54/21.72 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e2) (e2)) = (e0)) = ((e1) = (e0))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H4b.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H14c.
% 21.54/21.72 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.54/21.72 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1bf].
% 21.54/21.72 congruence.
% 21.54/21.72 exact (zenon_H1bf zenon_H105).
% 21.54/21.72 apply zenon_H46. apply refl_equal.
% 21.54/21.72 apply zenon_H4a. apply refl_equal.
% 21.54/21.72 apply zenon_H4a. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L255_ *)
% 21.54/21.72 assert (zenon_L256_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H13f zenon_H65 zenon_H77 zenon_Hb6 zenon_H10d zenon_H48 zenon_H14c zenon_H195 zenon_H5c.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.54/21.72 apply (zenon_L30_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.54/21.72 apply (zenon_L113_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.54/21.72 apply (zenon_L255_); trivial.
% 21.54/21.72 apply (zenon_L149_); trivial.
% 21.54/21.72 (* end of lemma zenon_L256_ *)
% 21.54/21.72 assert (zenon_L257_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H104 zenon_H14c zenon_H11d.
% 21.54/21.72 cut (((op (e2) (e2)) = (e0)) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H104.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H14c.
% 21.54/21.72 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H168].
% 21.54/21.72 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H108. apply refl_equal.
% 21.54/21.72 apply zenon_H168. apply sym_equal. exact zenon_H11d.
% 21.54/21.72 (* end of lemma zenon_L257_ *)
% 21.54/21.72 assert (zenon_L258_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H111 zenon_H66 zenon_H8a.
% 21.54/21.72 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H111.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H66.
% 21.54/21.72 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 21.54/21.72 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H135. apply refl_equal.
% 21.54/21.72 apply zenon_H132. apply sym_equal. exact zenon_H8a.
% 21.54/21.72 (* end of lemma zenon_L258_ *)
% 21.54/21.72 assert (zenon_L259_ : ((op (e2) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H110 zenon_H133 zenon_H131.
% 21.54/21.72 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H112 | zenon_intro zenon_H108 ].
% 21.54/21.72 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H131.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H112.
% 21.54/21.72 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 21.54/21.72 cut (((op (e2) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e1) (e2)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1db.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H110.
% 21.54/21.72 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 21.54/21.72 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H108. apply refl_equal.
% 21.54/21.72 apply zenon_H134. apply sym_equal. exact zenon_H133.
% 21.54/21.72 apply zenon_H108. apply refl_equal.
% 21.54/21.72 apply zenon_H108. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L259_ *)
% 21.54/21.72 assert (zenon_L260_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H13e zenon_H11d zenon_H104 zenon_H1bf zenon_H66 zenon_H111 zenon_H133 zenon_H131.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H14c | zenon_intro zenon_H151 ].
% 21.54/21.72 apply (zenon_L257_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H105 | zenon_intro zenon_H152 ].
% 21.54/21.72 exact (zenon_H1bf zenon_H105).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H110 ].
% 21.54/21.72 apply (zenon_L258_); trivial.
% 21.54/21.72 apply (zenon_L259_); trivial.
% 21.54/21.72 (* end of lemma zenon_L260_ *)
% 21.54/21.72 assert (zenon_L261_ : (((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)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (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) (e2)) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H140 zenon_H1d8 zenon_H2a zenon_Ha0 zenon_H5c zenon_H195 zenon_H48 zenon_H10d zenon_Hb6 zenon_H77 zenon_H65 zenon_H13f zenon_H13e zenon_H104 zenon_H1bf zenon_H66 zenon_H111 zenon_H133 zenon_H131.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.72 apply (zenon_L254_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.72 apply (zenon_L162_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.72 apply (zenon_L256_); trivial.
% 21.54/21.72 apply (zenon_L260_); trivial.
% 21.54/21.72 (* end of lemma zenon_L261_ *)
% 21.54/21.72 assert (zenon_L262_ : ((op (e1) (e3)) = (e3)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_Ha5 zenon_H9e zenon_Hf5.
% 21.54/21.72 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H5e | zenon_intro zenon_H5f ].
% 21.54/21.72 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_Hf5.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H5e.
% 21.54/21.72 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 21.54/21.72 cut (((op (e1) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1be].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e1) (e3)) = (e3)) = ((op (e1) (e3)) = (op (e0) (e3)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1be.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_Ha5.
% 21.54/21.72 cut (((e3) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H198].
% 21.54/21.72 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H5f. apply refl_equal.
% 21.54/21.72 apply zenon_H198. apply sym_equal. exact zenon_H9e.
% 21.54/21.72 apply zenon_H5f. apply refl_equal.
% 21.54/21.72 apply zenon_H5f. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L262_ *)
% 21.54/21.72 assert (zenon_L263_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H13a zenon_Hb6 zenon_H47 zenon_Ha0 zenon_H2a zenon_Ha9 zenon_H66 zenon_Ha5 zenon_Hf5.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.72 apply (zenon_L253_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.72 apply (zenon_L53_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.72 apply (zenon_L193_); trivial.
% 21.54/21.72 apply (zenon_L262_); trivial.
% 21.54/21.72 (* end of lemma zenon_L263_ *)
% 21.54/21.72 assert (zenon_L264_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H31 zenon_H66 zenon_H68.
% 21.54/21.72 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 21.54/21.72 cut (((e2) = (e2)) = ((e0) = (e2))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H68.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H69.
% 21.54/21.72 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.54/21.72 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e0) (e2)) = (e0)) = ((e2) = (e0))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H6b.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H31.
% 21.54/21.72 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.54/21.72 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1dc].
% 21.54/21.72 congruence.
% 21.54/21.72 exact (zenon_H1dc zenon_H66).
% 21.54/21.72 apply zenon_H46. apply refl_equal.
% 21.54/21.72 apply zenon_H6a. apply refl_equal.
% 21.54/21.72 apply zenon_H6a. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L264_ *)
% 21.54/21.72 assert (zenon_L265_ : ((op (e2) (e2)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H14c zenon_H133 zenon_Hef.
% 21.54/21.72 apply (zenon_notand_s _ _ ax8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1dd ].
% 21.54/21.72 elim (classic ((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H1df | zenon_intro zenon_H1e0 ].
% 21.54/21.72 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1)))) = ((e0) = (op (op (e1) (e1)) (op (e1) (e1))))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1de.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H1df.
% 21.54/21.72 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 21.54/21.72 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e2) (e2)) = (e0)) = ((op (op (e1) (e1)) (op (e1) (e1))) = (e0))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1e1.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H14c.
% 21.54/21.72 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.54/21.72 cut (((op (e2) (e2)) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e2].
% 21.54/21.72 congruence.
% 21.54/21.72 elim (classic ((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H1df | zenon_intro zenon_H1e0 ].
% 21.54/21.72 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1)))) = ((op (e2) (e2)) = (op (op (e1) (e1)) (op (e1) (e1))))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1e2.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H1df.
% 21.54/21.72 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 21.54/21.72 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1e3].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1b3].
% 21.54/21.72 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1b3].
% 21.54/21.72 congruence.
% 21.54/21.72 exact (zenon_H1b3 zenon_Hef).
% 21.54/21.72 exact (zenon_H1b3 zenon_Hef).
% 21.54/21.72 apply zenon_H1e0. apply refl_equal.
% 21.54/21.72 apply zenon_H1e0. apply refl_equal.
% 21.54/21.72 apply zenon_H46. apply refl_equal.
% 21.54/21.72 apply zenon_H1e0. apply refl_equal.
% 21.54/21.72 apply zenon_H1e0. apply refl_equal.
% 21.54/21.72 apply (zenon_notand_s _ _ zenon_H1dd); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H1e4 ].
% 21.54/21.72 apply zenon_Hf2. apply sym_equal. exact zenon_Hef.
% 21.54/21.72 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e6 ].
% 21.54/21.72 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e3) = (op (e1) (op (e1) (e1))))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1e4.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H1e5.
% 21.54/21.72 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 21.54/21.72 cut (((op (e1) (op (e1) (e1))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e1) (e2)) = (e3)) = ((op (e1) (op (e1) (e1))) = (e3))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1e7.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H133.
% 21.54/21.72 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.54/21.72 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 21.54/21.72 congruence.
% 21.54/21.72 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e6 ].
% 21.54/21.72 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1e8.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H1e5.
% 21.54/21.72 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 21.54/21.72 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1e9].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1b3].
% 21.54/21.72 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H4a. apply refl_equal.
% 21.54/21.72 exact (zenon_H1b3 zenon_Hef).
% 21.54/21.72 apply zenon_H1e6. apply refl_equal.
% 21.54/21.72 apply zenon_H1e6. apply refl_equal.
% 21.54/21.72 apply zenon_Ha2. apply refl_equal.
% 21.54/21.72 apply zenon_H1e6. apply refl_equal.
% 21.54/21.72 apply zenon_H1e6. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L265_ *)
% 21.54/21.72 assert (zenon_L266_ : ((op (e3) (e3)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H167 zenon_H11d zenon_H1cb.
% 21.54/21.72 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.54/21.72 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e2)) = (op (e3) (e3)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1cb.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H12a.
% 21.54/21.72 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.72 cut (((op (e3) (e3)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1cc].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e3) (e2)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1cc.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H167.
% 21.54/21.72 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H168].
% 21.54/21.72 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H12b. apply refl_equal.
% 21.54/21.72 apply zenon_H168. apply sym_equal. exact zenon_H11d.
% 21.54/21.72 apply zenon_H12b. apply refl_equal.
% 21.54/21.72 apply zenon_H12b. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L266_ *)
% 21.54/21.72 assert (zenon_L267_ : (((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) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H19a zenon_Ha0 zenon_H9e zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H11d zenon_H1cb.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.54/21.72 apply (zenon_L156_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.54/21.72 apply (zenon_L157_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.54/21.72 apply (zenon_L158_); trivial.
% 21.54/21.72 apply (zenon_L266_); trivial.
% 21.54/21.72 (* end of lemma zenon_L267_ *)
% 21.54/21.72 assert (zenon_L268_ : ((op (e3) (e3)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H17c zenon_H102 zenon_H18a.
% 21.54/21.72 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.54/21.72 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H18a.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H12a.
% 21.54/21.72 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.72 cut (((op (e3) (e3)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e3) (e0)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H18b.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H17c.
% 21.54/21.72 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H161].
% 21.54/21.72 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H12b. apply refl_equal.
% 21.54/21.72 apply zenon_H161. apply sym_equal. exact zenon_H102.
% 21.54/21.72 apply zenon_H12b. apply refl_equal.
% 21.54/21.72 apply zenon_H12b. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L268_ *)
% 21.54/21.72 assert (zenon_L269_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H1c3 zenon_Ha9 zenon_H77 zenon_H1cb zenon_H11d zenon_H68 zenon_H48 zenon_H5c zenon_H9e zenon_Ha0 zenon_H19a zenon_H102 zenon_H18a.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.54/21.72 apply (zenon_L92_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.54/21.72 apply (zenon_L206_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.54/21.72 apply (zenon_L267_); trivial.
% 21.54/21.72 apply (zenon_L268_); trivial.
% 21.54/21.72 (* end of lemma zenon_L269_ *)
% 21.54/21.72 assert (zenon_L270_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H140 zenon_H66 zenon_Hef zenon_H133 zenon_H1c3 zenon_Ha9 zenon_H77 zenon_H1cb zenon_H68 zenon_H48 zenon_H5c zenon_H9e zenon_Ha0 zenon_H19a zenon_H102 zenon_H18a.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.72 apply (zenon_L264_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.72 apply (zenon_L162_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.72 apply (zenon_L265_); trivial.
% 21.54/21.72 apply (zenon_L269_); trivial.
% 21.54/21.72 (* end of lemma zenon_L270_ *)
% 21.54/21.72 assert (zenon_L271_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_Heb zenon_H7a zenon_H40 zenon_H1d4 zenon_Hfa zenon_Hf5 zenon_Ha9 zenon_H2a zenon_Ha0 zenon_H47 zenon_Hb6 zenon_H13a zenon_H140 zenon_H1c3 zenon_H1cb zenon_H68 zenon_H48 zenon_H19a zenon_H102 zenon_H18a zenon_H159 zenon_H25 zenon_H13c zenon_H73 zenon_H66 zenon_H77.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.72 apply (zenon_L253_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.72 apply (zenon_L53_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.72 apply (zenon_L193_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.72 exact (zenon_H7a zenon_H3c).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.72 exact (zenon_H40 zenon_H3f).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.72 exact (zenon_H1d4 zenon_H4d).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.72 apply (zenon_L171_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.72 apply (zenon_L116_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.72 exact (zenon_H159 zenon_H10c).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.72 apply (zenon_L270_); trivial.
% 21.54/21.72 apply (zenon_L263_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.72 apply (zenon_L22_); trivial.
% 21.54/21.72 apply (zenon_L206_); trivial.
% 21.54/21.72 (* end of lemma zenon_L271_ *)
% 21.54/21.72 assert (zenon_L272_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H173 zenon_H2a zenon_He7.
% 21.54/21.72 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H173.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H2a.
% 21.54/21.72 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1ea].
% 21.54/21.72 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H193. apply refl_equal.
% 21.54/21.72 apply zenon_H1ea. apply sym_equal. exact zenon_He7.
% 21.54/21.72 (* end of lemma zenon_L272_ *)
% 21.54/21.72 assert (zenon_L273_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H158 zenon_H2a zenon_H173 zenon_H40 zenon_H156 zenon_H72 zenon_H159.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_He7 | zenon_intro zenon_H15a ].
% 21.54/21.72 apply (zenon_L272_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H3f | zenon_intro zenon_H15b ].
% 21.54/21.72 exact (zenon_H40 zenon_H3f).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Hef | zenon_intro zenon_H10c ].
% 21.54/21.72 apply (zenon_L100_); trivial.
% 21.54/21.72 exact (zenon_H159 zenon_H10c).
% 21.54/21.72 (* end of lemma zenon_L273_ *)
% 21.54/21.72 assert (zenon_L274_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H4e zenon_H25 zenon_Hf3.
% 21.54/21.72 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H4e.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H25.
% 21.54/21.72 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1eb].
% 21.54/21.72 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H101].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H101. apply refl_equal.
% 21.54/21.72 apply zenon_H1eb. apply sym_equal. exact zenon_Hf3.
% 21.54/21.72 (* end of lemma zenon_L274_ *)
% 21.54/21.72 assert (zenon_L275_ : (((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) (e2)) = (e1))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H1ec zenon_H25 zenon_H4e zenon_H1d4 zenon_H8a zenon_H131 zenon_H73 zenon_Hfe.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1ed ].
% 21.54/21.72 apply (zenon_L274_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H4d | zenon_intro zenon_H1ee ].
% 21.54/21.72 exact (zenon_H1d4 zenon_H4d).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H72 | zenon_intro zenon_H133 ].
% 21.54/21.72 apply (zenon_L87_); trivial.
% 21.54/21.72 apply (zenon_L89_); trivial.
% 21.54/21.72 (* end of lemma zenon_L275_ *)
% 21.54/21.72 assert (zenon_L276_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H1cf zenon_Ha9 zenon_H159 zenon_H156 zenon_H40 zenon_H173 zenon_H2a zenon_H158 zenon_H131 zenon_H1ec zenon_H25 zenon_H4e zenon_H1d4 zenon_H163 zenon_H73 zenon_Hfe.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.72 apply (zenon_L193_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.72 apply (zenon_L273_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.72 apply (zenon_L275_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1ed ].
% 21.54/21.72 apply (zenon_L274_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H4d | zenon_intro zenon_H1ee ].
% 21.54/21.72 exact (zenon_H1d4 zenon_H4d).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H72 | zenon_intro zenon_H133 ].
% 21.54/21.72 apply (zenon_L227_); trivial.
% 21.54/21.72 apply (zenon_L89_); trivial.
% 21.54/21.72 (* end of lemma zenon_L276_ *)
% 21.54/21.72 assert (zenon_L277_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H13a zenon_Hb6 zenon_H47 zenon_Ha0 zenon_H73 zenon_H163 zenon_H1d4 zenon_H4e zenon_H25 zenon_H1ec zenon_H131 zenon_H158 zenon_H2a zenon_H173 zenon_H40 zenon_H156 zenon_H159 zenon_H1cf zenon_Ha9 zenon_Hf6.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.72 apply (zenon_L253_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.72 apply (zenon_L53_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.72 apply (zenon_L276_); trivial.
% 21.54/21.72 apply (zenon_L92_); trivial.
% 21.54/21.72 (* end of lemma zenon_L277_ *)
% 21.54/21.72 assert (zenon_L278_ : (~((e0) = (e3))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_Ha0 zenon_H110 zenon_H14c.
% 21.54/21.72 cut (((op (e2) (e2)) = (e3)) = ((e0) = (e3))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_Ha0.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H110.
% 21.54/21.72 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.54/21.72 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H13d].
% 21.54/21.72 congruence.
% 21.54/21.72 exact (zenon_H13d zenon_H14c).
% 21.54/21.72 apply zenon_Ha2. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L278_ *)
% 21.54/21.72 assert (zenon_L279_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H1a2 zenon_Ha9 zenon_H66 zenon_Hb6 zenon_H4d zenon_H14c zenon_Ha0 zenon_H9d zenon_Hbc.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.54/21.72 apply (zenon_L193_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.54/21.72 apply (zenon_L124_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.54/21.72 apply (zenon_L278_); trivial.
% 21.54/21.72 apply (zenon_L48_); trivial.
% 21.54/21.72 (* end of lemma zenon_L279_ *)
% 21.54/21.72 assert (zenon_L280_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H117 zenon_Ha9 zenon_H65 zenon_Hb6 zenon_H53 zenon_H14c zenon_Ha0 zenon_H115.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.72 apply (zenon_L43_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.72 apply (zenon_L113_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.72 apply (zenon_L278_); trivial.
% 21.54/21.72 apply (zenon_L77_); trivial.
% 21.54/21.72 (* end of lemma zenon_L280_ *)
% 21.54/21.72 assert (zenon_L281_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e0)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H16a zenon_Ha0 zenon_H14c zenon_Hb6 zenon_Ha9 zenon_H117 zenon_H53 zenon_H77 zenon_H66 zenon_H111 zenon_H68 zenon_H115.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.54/21.72 apply (zenon_L280_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.54/21.72 apply (zenon_L56_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.54/21.72 apply (zenon_L258_); trivial.
% 21.54/21.72 apply (zenon_L158_); trivial.
% 21.54/21.72 (* end of lemma zenon_L281_ *)
% 21.54/21.72 assert (zenon_L282_ : ((op (e2) (e2)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H110 zenon_Ha8 zenon_H1ef.
% 21.54/21.72 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H112 | zenon_intro zenon_H108 ].
% 21.54/21.72 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1ef.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H112.
% 21.54/21.72 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 21.54/21.72 cut (((op (e2) (e2)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e2) (e0)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1f0.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H110.
% 21.54/21.72 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 21.54/21.72 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H108. apply refl_equal.
% 21.54/21.72 apply zenon_Hba. apply sym_equal. exact zenon_Ha8.
% 21.54/21.72 apply zenon_H108. apply refl_equal.
% 21.54/21.72 apply zenon_H108. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L282_ *)
% 21.54/21.72 assert (zenon_L283_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H1a2 zenon_Ha9 zenon_H66 zenon_Hb6 zenon_H4d zenon_H1ef zenon_Ha8 zenon_Ha0 zenon_H11d.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.54/21.72 apply (zenon_L193_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.54/21.72 apply (zenon_L124_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.54/21.72 apply (zenon_L282_); trivial.
% 21.54/21.72 apply (zenon_L80_); trivial.
% 21.54/21.72 (* end of lemma zenon_L283_ *)
% 21.54/21.72 assert (zenon_L284_ : (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H1f1 zenon_H53 zenon_H7f.
% 21.54/21.72 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e3) (e1)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1f1.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H53.
% 21.54/21.72 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H80].
% 21.54/21.72 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H57. apply refl_equal.
% 21.54/21.72 apply zenon_H80. apply sym_equal. exact zenon_H7f.
% 21.54/21.72 (* end of lemma zenon_L284_ *)
% 21.54/21.72 assert (zenon_L285_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H163 zenon_H4d zenon_H106.
% 21.54/21.72 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H163.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H4d.
% 21.54/21.72 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 21.54/21.72 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H50. apply refl_equal.
% 21.54/21.72 apply zenon_H107. apply sym_equal. exact zenon_H106.
% 21.54/21.72 (* end of lemma zenon_L285_ *)
% 21.54/21.72 assert (zenon_L286_ : (((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 (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H1ec zenon_H25 zenon_H4e zenon_H106 zenon_H163 zenon_H73 zenon_H66 zenon_H110 zenon_H131.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1ed ].
% 21.54/21.72 apply (zenon_L274_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H4d | zenon_intro zenon_H1ee ].
% 21.54/21.72 apply (zenon_L285_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H72 | zenon_intro zenon_H133 ].
% 21.54/21.72 apply (zenon_L22_); trivial.
% 21.54/21.72 apply (zenon_L259_); trivial.
% 21.54/21.72 (* end of lemma zenon_L286_ *)
% 21.54/21.72 assert (zenon_L287_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (((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) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H117 zenon_H11d zenon_Ha0 zenon_H1ef zenon_H4d zenon_Ha9 zenon_H1a2 zenon_H10c zenon_Hf0 zenon_H120 zenon_H1ec zenon_H25 zenon_H4e zenon_H163 zenon_H73 zenon_H66 zenon_H131 zenon_H1f1 zenon_H53 zenon_Hb6 zenon_H9d zenon_H12e zenon_H9e zenon_H196.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.72 apply (zenon_L283_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.72 apply (zenon_L74_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.72 apply (zenon_L134_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.72 apply (zenon_L284_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.72 apply (zenon_L286_); trivial.
% 21.54/21.72 exact (zenon_H120 zenon_H11f).
% 21.54/21.72 apply (zenon_L154_); trivial.
% 21.54/21.72 (* end of lemma zenon_L287_ *)
% 21.54/21.72 assert (zenon_L288_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H1a8 zenon_H68 zenon_H2a zenon_H1b3 zenon_H65 zenon_H55 zenon_H7f zenon_H77.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.54/21.72 apply (zenon_L147_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.54/21.72 exact (zenon_H1b3 zenon_Hef).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.54/21.72 apply (zenon_L34_); trivial.
% 21.54/21.72 apply (zenon_L169_); trivial.
% 21.54/21.72 (* end of lemma zenon_L288_ *)
% 21.54/21.72 assert (zenon_L289_ : ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((e2) = (e3))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H6d zenon_H10d zenon_Ha9.
% 21.54/21.72 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.54/21.72 cut (((e3) = (e3)) = ((e2) = (e3))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_Ha9.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_Ha1.
% 21.54/21.72 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.54/21.72 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e2) (e1)) = (e2)) = ((e3) = (e2))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_Haa.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H6d.
% 21.54/21.72 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.54/21.72 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 21.54/21.72 congruence.
% 21.54/21.72 exact (zenon_H16e zenon_H10d).
% 21.54/21.72 apply zenon_H6a. apply refl_equal.
% 21.54/21.72 apply zenon_Ha2. apply refl_equal.
% 21.54/21.72 apply zenon_Ha2. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L289_ *)
% 21.54/21.72 assert (zenon_L290_ : (((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)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha9 zenon_H6d zenon_H14c zenon_Ha0 zenon_H9e zenon_H196.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.72 apply (zenon_L151_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.72 apply (zenon_L289_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.72 apply (zenon_L278_); trivial.
% 21.54/21.72 apply (zenon_L154_); trivial.
% 21.54/21.72 (* end of lemma zenon_L290_ *)
% 21.54/21.72 assert (zenon_L291_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H34 zenon_H102 zenon_H68.
% 21.54/21.72 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 21.54/21.72 cut (((e2) = (e2)) = ((e0) = (e2))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H68.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H69.
% 21.54/21.72 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.54/21.72 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e3) (e0)) = (e0)) = ((e2) = (e0))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H6b.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H34.
% 21.54/21.72 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.54/21.72 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H103].
% 21.54/21.72 congruence.
% 21.54/21.72 exact (zenon_H103 zenon_H102).
% 21.54/21.72 apply zenon_H46. apply refl_equal.
% 21.54/21.72 apply zenon_H6a. apply refl_equal.
% 21.54/21.72 apply zenon_H6a. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L291_ *)
% 21.54/21.72 assert (zenon_L292_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H192 zenon_H2a zenon_He0.
% 21.54/21.72 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H192.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H2a.
% 21.54/21.72 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 21.54/21.72 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H193. apply refl_equal.
% 21.54/21.72 apply zenon_H1f2. apply sym_equal. exact zenon_He0.
% 21.54/21.72 (* end of lemma zenon_L292_ *)
% 21.54/21.72 assert (zenon_L293_ : ((op (e1) (e3)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (op (e1) (op (e1) (e1))))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_Hf7 zenon_H10c zenon_H1f3.
% 21.54/21.72 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e6 ].
% 21.54/21.72 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e2) = (op (e1) (op (e1) (e1))))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1f3.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H1e5.
% 21.54/21.72 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 21.54/21.72 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1f4].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e1) (e3)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1f4.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_Hf7.
% 21.54/21.72 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.54/21.72 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1f5].
% 21.54/21.72 congruence.
% 21.54/21.72 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e6 ].
% 21.54/21.72 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1f5.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H1e5.
% 21.54/21.72 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 21.54/21.72 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 21.54/21.72 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H4a. apply refl_equal.
% 21.54/21.72 exact (zenon_H159 zenon_H10c).
% 21.54/21.72 apply zenon_H1e6. apply refl_equal.
% 21.54/21.72 apply zenon_H1e6. apply refl_equal.
% 21.54/21.72 apply zenon_H6a. apply refl_equal.
% 21.54/21.72 apply zenon_H1e6. apply refl_equal.
% 21.54/21.72 apply zenon_H1e6. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L293_ *)
% 21.54/21.72 assert (zenon_L294_ : ((op (e3) (e3)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H167 zenon_Hf7 zenon_H10c.
% 21.54/21.72 apply (zenon_notand_s _ _ ax10); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f7 ].
% 21.54/21.72 elim (classic ((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H1df | zenon_intro zenon_H1e0 ].
% 21.54/21.72 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1)))) = ((e0) = (op (op (e1) (e1)) (op (e1) (e1))))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1de.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H1df.
% 21.54/21.72 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 21.54/21.72 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e3) (e3)) = (e0)) = ((op (op (e1) (e1)) (op (e1) (e1))) = (e0))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1e1.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H167.
% 21.54/21.72 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.54/21.72 cut (((op (e3) (e3)) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1f8].
% 21.54/21.72 congruence.
% 21.54/21.72 elim (classic ((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H1df | zenon_intro zenon_H1e0 ].
% 21.54/21.72 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1)))) = ((op (e3) (e3)) = (op (op (e1) (e1)) (op (e1) (e1))))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1f8.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H1df.
% 21.54/21.72 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 21.54/21.72 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1f9].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 21.54/21.72 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 21.54/21.72 congruence.
% 21.54/21.72 exact (zenon_H159 zenon_H10c).
% 21.54/21.72 exact (zenon_H159 zenon_H10c).
% 21.54/21.72 apply zenon_H1e0. apply refl_equal.
% 21.54/21.72 apply zenon_H1e0. apply refl_equal.
% 21.54/21.72 apply zenon_H46. apply refl_equal.
% 21.54/21.72 apply zenon_H1e0. apply refl_equal.
% 21.54/21.72 apply zenon_H1e0. apply refl_equal.
% 21.54/21.72 apply (zenon_notand_s _ _ zenon_H1f7); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f3 ].
% 21.54/21.72 apply zenon_H11c. apply sym_equal. exact zenon_H10c.
% 21.54/21.72 apply (zenon_L293_); trivial.
% 21.54/21.72 (* end of lemma zenon_L294_ *)
% 21.54/21.72 assert (zenon_L295_ : (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H68 zenon_H17c zenon_H167.
% 21.54/21.72 cut (((op (e3) (e3)) = (e2)) = ((e0) = (e2))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H68.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H17c.
% 21.54/21.72 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.54/21.72 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H162].
% 21.54/21.72 congruence.
% 21.54/21.72 exact (zenon_H162 zenon_H167).
% 21.54/21.72 apply zenon_H6a. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L295_ *)
% 21.54/21.72 assert (zenon_L296_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e3)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H1c3 zenon_H9e zenon_Ha9 zenon_H10c zenon_H128 zenon_H77 zenon_H68 zenon_H167.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.54/21.72 apply (zenon_L92_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.54/21.72 apply (zenon_L294_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.54/21.72 apply (zenon_L218_); trivial.
% 21.54/21.72 apply (zenon_L295_); trivial.
% 21.54/21.72 (* end of lemma zenon_L296_ *)
% 21.54/21.72 assert (zenon_L297_ : (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H179 zenon_H25 zenon_H34.
% 21.54/21.72 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e3) (e0)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H179.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H25.
% 21.54/21.72 cut (((e0) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 21.54/21.72 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H101].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H101. apply refl_equal.
% 21.54/21.72 apply zenon_H35. apply sym_equal. exact zenon_H34.
% 21.54/21.72 (* end of lemma zenon_L297_ *)
% 21.54/21.72 assert (zenon_L298_ : ((op (e3) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H167 zenon_H115 zenon_H129.
% 21.54/21.72 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.54/21.72 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H129.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H12a.
% 21.54/21.72 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.72 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12c].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e2) (e3)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H12c.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H167.
% 21.54/21.72 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1fa].
% 21.54/21.72 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H12b. apply refl_equal.
% 21.54/21.72 apply zenon_H1fa. apply sym_equal. exact zenon_H115.
% 21.54/21.72 apply zenon_H12b. apply refl_equal.
% 21.54/21.72 apply zenon_H12b. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L298_ *)
% 21.54/21.72 assert (zenon_L299_ : (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e1) (e3)) = (e2)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_Ha9 zenon_Ha5 zenon_Hf7.
% 21.54/21.72 cut (((op (e1) (e3)) = (e3)) = ((e2) = (e3))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_Ha9.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_Ha5.
% 21.54/21.72 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.54/21.72 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1c1].
% 21.54/21.72 congruence.
% 21.54/21.72 exact (zenon_H1c1 zenon_Hf7).
% 21.54/21.72 apply zenon_Ha2. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L299_ *)
% 21.54/21.72 assert (zenon_L300_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H13c zenon_H129 zenon_Ha0 zenon_H48 zenon_H7f zenon_H179 zenon_H25 zenon_H164 zenon_Ha8 zenon_H1ef zenon_H66 zenon_H1a2 zenon_H13f zenon_H196 zenon_H6d zenon_H117 zenon_H1f1 zenon_H102 zenon_H2a zenon_H192 zenon_H1c3 zenon_H9e zenon_H77 zenon_H68 zenon_H141 zenon_Hb6 zenon_H4d zenon_Ha9 zenon_Hf7.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.72 apply (zenon_L116_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.72 apply (zenon_L67_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.72 apply (zenon_L54_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.54/21.72 apply (zenon_L290_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.54/21.72 apply (zenon_L284_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.54/21.72 apply (zenon_L255_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.54/21.72 apply (zenon_L193_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.54/21.72 apply (zenon_L124_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.54/21.72 apply (zenon_L278_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.72 apply (zenon_L291_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.72 apply (zenon_L292_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.72 apply (zenon_L80_); trivial.
% 21.54/21.72 apply (zenon_L296_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.54/21.72 apply (zenon_L193_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.54/21.72 apply (zenon_L124_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.54/21.72 apply (zenon_L282_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.72 apply (zenon_L297_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.72 apply (zenon_L57_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.72 apply (zenon_L80_); trivial.
% 21.54/21.72 apply (zenon_L298_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.72 apply (zenon_L124_); trivial.
% 21.54/21.72 apply (zenon_L299_); trivial.
% 21.54/21.72 (* end of lemma zenon_L300_ *)
% 21.54/21.72 assert (zenon_L301_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e2) = (e3))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_He4 zenon_H40 zenon_Hfa zenon_H1b3 zenon_H13c zenon_H129 zenon_Ha0 zenon_H48 zenon_H179 zenon_H25 zenon_H164 zenon_Ha8 zenon_H1ef zenon_H66 zenon_H1a2 zenon_H13f zenon_H196 zenon_H6d zenon_H117 zenon_H1f1 zenon_H102 zenon_H2a zenon_H192 zenon_H1c3 zenon_H9e zenon_H77 zenon_H68 zenon_H141 zenon_Hb6 zenon_H4d zenon_Ha9.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.54/21.72 apply (zenon_L65_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.54/21.72 exact (zenon_H40 zenon_H3f).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.54/21.72 apply (zenon_L56_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.72 apply (zenon_L171_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.72 exact (zenon_H1b3 zenon_Hef).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.72 apply (zenon_L59_); trivial.
% 21.54/21.72 apply (zenon_L300_); trivial.
% 21.54/21.72 (* end of lemma zenon_L301_ *)
% 21.54/21.72 assert (zenon_L302_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H18d zenon_H9e zenon_Hb6 zenon_H186 zenon_H4d zenon_H93 zenon_H77 zenon_H120.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.54/21.72 apply (zenon_L115_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.54/21.72 apply (zenon_L138_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.54/21.72 apply (zenon_L218_); trivial.
% 21.54/21.72 exact (zenon_H120 zenon_H11f).
% 21.54/21.72 (* end of lemma zenon_L302_ *)
% 21.54/21.72 assert (zenon_L303_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_Hfa zenon_H68 zenon_H1b3 zenon_Hec zenon_H77 zenon_H40 zenon_H25 zenon_H48 zenon_Heb zenon_Hf5 zenon_Hf6.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.72 apply (zenon_L171_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.72 exact (zenon_H1b3 zenon_Hef).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.72 apply (zenon_L60_); trivial.
% 21.54/21.72 apply (zenon_L63_); trivial.
% 21.54/21.72 (* end of lemma zenon_L303_ *)
% 21.54/21.72 assert (zenon_L304_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H158 zenon_H2a zenon_H173 zenon_H40 zenon_H1b3 zenon_H159.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_He7 | zenon_intro zenon_H15a ].
% 21.54/21.72 apply (zenon_L272_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H3f | zenon_intro zenon_H15b ].
% 21.54/21.72 exact (zenon_H40 zenon_H3f).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Hef | zenon_intro zenon_H10c ].
% 21.54/21.72 exact (zenon_H1b3 zenon_Hef).
% 21.54/21.72 exact (zenon_H159 zenon_H10c).
% 21.54/21.72 (* end of lemma zenon_L304_ *)
% 21.54/21.72 assert (zenon_L305_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (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)) = (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) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H15c zenon_H173 zenon_H158 zenon_H77 zenon_H47 zenon_H68 zenon_H2a zenon_H125 zenon_H186 zenon_H18d zenon_Hfa zenon_H129 zenon_H192 zenon_H1c3 zenon_H164 zenon_H13f zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_Hb2 zenon_H28 zenon_H48 zenon_H40 zenon_He4 zenon_H1b3 zenon_H55 zenon_H1a8 zenon_H179 zenon_H141 zenon_H16a zenon_H111 zenon_H117 zenon_H196 zenon_H1f1 zenon_H1ec zenon_H131 zenon_H73 zenon_H163 zenon_H4e zenon_H120 zenon_H12e zenon_Hf0 zenon_H1ef zenon_H140 zenon_Hbc zenon_H1a2 zenon_H13a zenon_Hf5 zenon_H13c zenon_Heb zenon_H25 zenon_H1d5 zenon_H139.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.72 apply (zenon_L251_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.72 apply (zenon_L147_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.72 apply (zenon_L252_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.72 apply (zenon_L171_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.72 apply (zenon_L253_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.72 apply (zenon_L53_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.72 apply (zenon_L193_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.72 apply (zenon_L253_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.72 apply (zenon_L116_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.72 apply (zenon_L43_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.72 apply (zenon_L26_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.72 exact (zenon_H40 zenon_H3f).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.54/21.72 apply (zenon_L65_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.54/21.72 exact (zenon_H40 zenon_H3f).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.72 apply (zenon_L123_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.72 apply (zenon_L27_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.72 apply (zenon_L111_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.72 apply (zenon_L279_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.72 apply (zenon_L264_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.72 apply (zenon_L117_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.72 apply (zenon_L281_); trivial.
% 21.54/21.72 apply (zenon_L287_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.72 apply (zenon_L124_); trivial.
% 21.54/21.72 apply (zenon_L263_); trivial.
% 21.54/21.72 apply (zenon_L288_); trivial.
% 21.54/21.72 exact (zenon_Hec zenon_H5c).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.72 apply (zenon_L253_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.72 apply (zenon_L53_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.72 apply (zenon_L193_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.72 apply (zenon_L253_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.72 apply (zenon_L116_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.72 apply (zenon_L25_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.72 exact (zenon_H40 zenon_H3f).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.54/21.72 apply (zenon_L43_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.54/21.72 apply (zenon_L301_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.54/21.72 apply (zenon_L258_); trivial.
% 21.54/21.72 apply (zenon_L302_); trivial.
% 21.54/21.72 exact (zenon_Hec zenon_H5c).
% 21.54/21.72 apply (zenon_L91_); trivial.
% 21.54/21.72 apply (zenon_L303_); trivial.
% 21.54/21.72 apply (zenon_L304_); trivial.
% 21.54/21.72 (* end of lemma zenon_L305_ *)
% 21.54/21.72 assert (zenon_L306_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H158 zenon_He3 zenon_H40 zenon_H6e zenon_H173 zenon_H159.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_He7 | zenon_intro zenon_H15a ].
% 21.54/21.72 exact (zenon_He3 zenon_He7).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H3f | zenon_intro zenon_H15b ].
% 21.54/21.72 exact (zenon_H40 zenon_H3f).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Hef | zenon_intro zenon_H10c ].
% 21.54/21.72 apply (zenon_L226_); trivial.
% 21.54/21.72 exact (zenon_H159 zenon_H10c).
% 21.54/21.72 (* end of lemma zenon_L306_ *)
% 21.54/21.72 assert (zenon_L307_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_Hb2 zenon_Hb6 zenon_H47 zenon_Ha0 zenon_H25 zenon_Ha9 zenon_H65 zenon_Hac zenon_H7d.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.72 apply (zenon_L253_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.72 apply (zenon_L116_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.72 apply (zenon_L43_); trivial.
% 21.54/21.72 apply (zenon_L44_); trivial.
% 21.54/21.72 (* end of lemma zenon_L307_ *)
% 21.54/21.72 assert (zenon_L308_ : ((op (e1) (e3)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_Ha5 zenon_H133 zenon_H186.
% 21.54/21.72 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H5e | zenon_intro zenon_H5f ].
% 21.54/21.72 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H186.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H5e.
% 21.54/21.72 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 21.54/21.72 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H187].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e1) (e3)) = (e3)) = ((op (e1) (e3)) = (op (e1) (e2)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H187.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_Ha5.
% 21.54/21.72 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 21.54/21.72 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H5f. apply refl_equal.
% 21.54/21.72 apply zenon_H134. apply sym_equal. exact zenon_H133.
% 21.54/21.72 apply zenon_H5f. apply refl_equal.
% 21.54/21.72 apply zenon_H5f. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L308_ *)
% 21.54/21.72 assert (zenon_L309_ : (((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) (e2)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H1ec zenon_H25 zenon_H4e zenon_H1d4 zenon_H159 zenon_H156 zenon_H40 zenon_He3 zenon_H158 zenon_Ha5 zenon_H186.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1ed ].
% 21.54/21.72 apply (zenon_L274_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H4d | zenon_intro zenon_H1ee ].
% 21.54/21.72 exact (zenon_H1d4 zenon_H4d).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H72 | zenon_intro zenon_H133 ].
% 21.54/21.72 apply (zenon_L101_); trivial.
% 21.54/21.72 apply (zenon_L308_); trivial.
% 21.54/21.72 (* end of lemma zenon_L309_ *)
% 21.54/21.72 assert (zenon_L310_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H15c zenon_He3 zenon_H40 zenon_H156 zenon_H72 zenon_H158 zenon_H5c.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.54/21.72 exact (zenon_Hec zenon_H5c).
% 21.54/21.72 apply (zenon_L101_); trivial.
% 21.54/21.72 (* end of lemma zenon_L310_ *)
% 21.54/21.72 assert (zenon_L311_ : ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H3e zenon_H5c zenon_H158 zenon_H72 zenon_H156 zenon_He3 zenon_H15c.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 21.54/21.72 apply (zenon_L310_); trivial.
% 21.54/21.72 apply (zenon_L310_); trivial.
% 21.54/21.72 (* end of lemma zenon_L311_ *)
% 21.54/21.72 assert (zenon_L312_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((e1) = (e2))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H13a zenon_Hb6 zenon_H47 zenon_H73 zenon_H163 zenon_H131 zenon_H2a zenon_H173 zenon_H1cf zenon_Heb zenon_H28 zenon_Hfa zenon_H186 zenon_H40 zenon_H159 zenon_H1d4 zenon_H4e zenon_H25 zenon_H1ec zenon_H140 zenon_H66 zenon_H1c3 zenon_Ha9 zenon_H1cb zenon_H68 zenon_H48 zenon_Ha0 zenon_H19a zenon_H102 zenon_H18a zenon_H13c zenon_H15c zenon_He3 zenon_H156 zenon_H158 zenon_H3e zenon_H77.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.72 apply (zenon_L253_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.72 apply (zenon_L53_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.72 apply (zenon_L276_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.72 apply (zenon_L26_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.72 exact (zenon_H40 zenon_H3f).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.72 exact (zenon_H1d4 zenon_H4d).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.72 apply (zenon_L171_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.72 apply (zenon_L116_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.72 exact (zenon_H159 zenon_H10c).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.72 apply (zenon_L270_); trivial.
% 21.54/21.72 apply (zenon_L309_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.72 apply (zenon_L311_); trivial.
% 21.54/21.72 apply (zenon_L206_); trivial.
% 21.54/21.72 (* end of lemma zenon_L312_ *)
% 21.54/21.72 assert (zenon_L313_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e1) (e1)) = (e0))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (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))) -> (~((e0) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H139 zenon_H77 zenon_H3e zenon_He3 zenon_H15c zenon_H13c zenon_H18a zenon_H19a zenon_H48 zenon_H68 zenon_H1cb zenon_H1c3 zenon_H140 zenon_H186 zenon_Hfa zenon_H28 zenon_Heb zenon_Hb2 zenon_Hac zenon_H7d zenon_H1d5 zenon_H125 zenon_H13a zenon_Hb6 zenon_H47 zenon_Ha0 zenon_H73 zenon_H163 zenon_H1d4 zenon_H4e zenon_H25 zenon_H1ec zenon_H131 zenon_H158 zenon_H2a zenon_H173 zenon_H40 zenon_H156 zenon_H159 zenon_H1cf zenon_Ha9.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.72 apply (zenon_L251_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.72 apply (zenon_L306_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.72 apply (zenon_L252_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.72 apply (zenon_L171_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.72 apply (zenon_L307_); trivial.
% 21.54/21.72 apply (zenon_L312_); trivial.
% 21.54/21.72 apply (zenon_L277_); trivial.
% 21.54/21.72 (* end of lemma zenon_L313_ *)
% 21.54/21.72 assert (zenon_L314_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H139 zenon_H77 zenon_H68 zenon_Hf5 zenon_Ha5 zenon_H13a zenon_Hb6 zenon_H47 zenon_Ha0 zenon_H73 zenon_H163 zenon_H1d4 zenon_H4e zenon_H25 zenon_H1ec zenon_H131 zenon_H158 zenon_H2a zenon_H173 zenon_H40 zenon_H156 zenon_H159 zenon_H1cf zenon_Ha9.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.72 apply (zenon_L251_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.72 apply (zenon_L147_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.72 apply (zenon_L263_); trivial.
% 21.54/21.72 apply (zenon_L277_); trivial.
% 21.54/21.72 (* end of lemma zenon_L314_ *)
% 21.54/21.72 assert (zenon_L315_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H2f zenon_H2a zenon_H1d8.
% 21.54/21.72 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 21.54/21.72 apply (zenon_L254_); trivial.
% 21.54/21.72 (* end of lemma zenon_L315_ *)
% 21.54/21.72 assert (zenon_L316_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H38 zenon_H2a zenon_H1fb.
% 21.54/21.72 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H1fc | zenon_intro zenon_Hf9 ].
% 21.54/21.72 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e1)) = (op (e0) (e3)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1fb.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H1fc.
% 21.54/21.72 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 21.54/21.72 cut (((op (e0) (e3)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1fd].
% 21.54/21.72 congruence.
% 21.54/21.72 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e0) (e1)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1fd.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H38.
% 21.54/21.72 cut (((e0) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 21.54/21.72 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_Hf9. apply refl_equal.
% 21.54/21.72 apply zenon_H1da. apply sym_equal. exact zenon_H2a.
% 21.54/21.72 apply zenon_Hf9. apply refl_equal.
% 21.54/21.72 apply zenon_Hf9. apply refl_equal.
% 21.54/21.72 (* end of lemma zenon_L316_ *)
% 21.54/21.72 assert (zenon_L317_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H36 zenon_H2a zenon_H1fb.
% 21.54/21.72 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 21.54/21.72 apply (zenon_L316_); trivial.
% 21.54/21.72 (* end of lemma zenon_L317_ *)
% 21.54/21.72 assert (zenon_L318_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H3a zenon_H2a zenon_H48.
% 21.54/21.72 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 21.54/21.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 21.54/21.72 apply (zenon_L65_); trivial.
% 21.54/21.72 (* end of lemma zenon_L318_ *)
% 21.54/21.72 assert (zenon_L319_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H5a zenon_H77 zenon_H6d.
% 21.54/21.72 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.54/21.72 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 21.54/21.72 apply (zenon_L56_); trivial.
% 21.54/21.72 (* end of lemma zenon_L319_ *)
% 21.54/21.72 assert (zenon_L320_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H13a zenon_H47 zenon_Ha0 zenon_H2a zenon_Ha9 zenon_H66 zenon_H16a zenon_H7b zenon_H5a zenon_H8b zenon_H18d zenon_Hb6 zenon_H186 zenon_H4d zenon_H77 zenon_H120.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.72 apply (zenon_L253_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.72 apply (zenon_L53_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.72 apply (zenon_L193_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.54/21.72 exact (zenon_H7b zenon_H65).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.54/21.72 apply (zenon_L319_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.54/21.72 exact (zenon_H8b zenon_H8a).
% 21.54/21.72 apply (zenon_L302_); trivial.
% 21.54/21.72 (* end of lemma zenon_L320_ *)
% 21.54/21.72 assert (zenon_L321_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H16a zenon_H7b zenon_H53 zenon_H77 zenon_H8b zenon_Hf6 zenon_H196.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.54/21.72 exact (zenon_H7b zenon_H65).
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.54/21.72 apply (zenon_L56_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.54/21.72 exact (zenon_H8b zenon_H8a).
% 21.54/21.72 apply (zenon_L167_); trivial.
% 21.54/21.72 (* end of lemma zenon_L321_ *)
% 21.54/21.72 assert (zenon_L322_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H139 zenon_H68 zenon_H120 zenon_H4d zenon_H186 zenon_Hb6 zenon_H18d zenon_H5a zenon_Ha9 zenon_H2a zenon_Ha0 zenon_H47 zenon_H13a zenon_H16a zenon_H7b zenon_H53 zenon_H77 zenon_H8b zenon_H196.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.72 apply (zenon_L251_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.72 apply (zenon_L147_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.72 apply (zenon_L320_); trivial.
% 21.54/21.72 apply (zenon_L321_); trivial.
% 21.54/21.72 (* end of lemma zenon_L322_ *)
% 21.54/21.72 assert (zenon_L323_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_Hb2 zenon_Hb6 zenon_H47 zenon_Ha0 zenon_H25 zenon_H16b zenon_H8b zenon_H77 zenon_H53 zenon_Ha9 zenon_H16a zenon_Hac zenon_H7d.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.72 apply (zenon_L253_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.72 apply (zenon_L116_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.72 apply (zenon_L112_); trivial.
% 21.54/21.72 apply (zenon_L44_); trivial.
% 21.54/21.72 (* end of lemma zenon_L323_ *)
% 21.54/21.72 assert (zenon_L324_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H1c6 zenon_H2a zenon_Hfe zenon_H111 zenon_Hf0 zenon_H109 zenon_H117 zenon_H13d zenon_H48 zenon_H65 zenon_H68 zenon_H141 zenon_Hb2 zenon_Hb6 zenon_H47 zenon_Ha0 zenon_H25 zenon_H16b zenon_H8b zenon_H77 zenon_H53 zenon_Ha9 zenon_H16a zenon_H7d.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.72 apply (zenon_L253_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.72 apply (zenon_L116_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.72 apply (zenon_L43_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.54/21.72 apply (zenon_L53_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.72 apply (zenon_L27_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.72 apply (zenon_L111_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.72 exact (zenon_H13d zenon_H14c).
% 21.54/21.72 apply (zenon_L78_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.54/21.72 apply (zenon_L113_); trivial.
% 21.54/21.72 apply (zenon_L323_); trivial.
% 21.54/21.72 (* end of lemma zenon_L324_ *)
% 21.54/21.72 assert (zenon_L325_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_Hb2 zenon_Hb6 zenon_H47 zenon_Ha0 zenon_H25 zenon_H16b zenon_H8b zenon_H77 zenon_H53 zenon_H16a zenon_Ha9 zenon_H102.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.72 apply (zenon_L253_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.72 apply (zenon_L116_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.72 apply (zenon_L112_); trivial.
% 21.54/21.72 apply (zenon_L91_); trivial.
% 21.54/21.72 (* end of lemma zenon_L325_ *)
% 21.54/21.72 assert (zenon_L326_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H13a zenon_H7d zenon_H16a zenon_H53 zenon_H77 zenon_H8b zenon_H16b zenon_H25 zenon_Ha0 zenon_H47 zenon_Hb6 zenon_Hb2 zenon_H141 zenon_H68 zenon_H65 zenon_H48 zenon_H13d zenon_H117 zenon_H109 zenon_Hf0 zenon_H111 zenon_H2a zenon_H1c6 zenon_Ha9 zenon_Hf6.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.72 apply (zenon_L253_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.72 apply (zenon_L53_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.72 apply (zenon_L324_); trivial.
% 21.54/21.72 apply (zenon_L92_); trivial.
% 21.54/21.72 (* end of lemma zenon_L326_ *)
% 21.54/21.72 assert (zenon_L327_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H16a zenon_H68 zenon_H2d zenon_H53 zenon_H77 zenon_H8b zenon_H16b.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.54/21.72 apply (zenon_L27_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.54/21.72 apply (zenon_L56_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.54/21.72 exact (zenon_H8b zenon_H8a).
% 21.54/21.72 exact (zenon_H16b zenon_H93).
% 21.54/21.72 (* end of lemma zenon_L327_ *)
% 21.54/21.72 assert (zenon_L328_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_Hbc zenon_H34 zenon_H11d.
% 21.54/21.72 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_Hbc.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H34.
% 21.54/21.72 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H168].
% 21.54/21.72 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_H81. apply refl_equal.
% 21.54/21.72 apply zenon_H168. apply sym_equal. exact zenon_H11d.
% 21.54/21.72 (* end of lemma zenon_L328_ *)
% 21.54/21.72 assert (zenon_L329_ : (((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) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H140 zenon_H1d8 zenon_H2a zenon_H4d zenon_H48 zenon_H13d zenon_Hbc zenon_H34.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.72 apply (zenon_L254_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.72 apply (zenon_L117_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.72 exact (zenon_H13d zenon_H14c).
% 21.54/21.72 apply (zenon_L328_); trivial.
% 21.54/21.72 (* end of lemma zenon_L329_ *)
% 21.54/21.72 assert (zenon_L330_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H92 zenon_H190 zenon_H13e zenon_H48 zenon_H47 zenon_H139 zenon_H13a zenon_H13c zenon_Hf5 zenon_H4e zenon_H196 zenon_H1f1 zenon_H1ec zenon_H131 zenon_H73 zenon_H163 zenon_H120 zenon_H12e zenon_H4d zenon_H1ef zenon_H1a2 zenon_H140 zenon_H179 zenon_Ha9 zenon_H1c6 zenon_H16a zenon_H8b zenon_H7d zenon_Hb2 zenon_H53 zenon_H13d zenon_H117 zenon_H111 zenon_Hf0 zenon_H109 zenon_H141 zenon_Ha0 zenon_Hb6 zenon_H125 zenon_H2a zenon_H68 zenon_H77 zenon_Hbc zenon_H1d8 zenon_H1fe.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.72 apply (zenon_L13_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.72 apply (zenon_L251_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.72 apply (zenon_L147_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.72 apply (zenon_L251_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.72 apply (zenon_L171_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.72 apply (zenon_L253_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.72 apply (zenon_L53_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.72 apply (zenon_L324_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.72 apply (zenon_L253_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.72 apply (zenon_L116_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.72 apply (zenon_L112_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.72 apply (zenon_L123_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.72 apply (zenon_L264_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.72 apply (zenon_L274_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.72 exact (zenon_H13d zenon_H14c).
% 21.54/21.72 apply (zenon_L287_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.72 apply (zenon_L124_); trivial.
% 21.54/21.72 apply (zenon_L262_); trivial.
% 21.54/21.72 apply (zenon_L325_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.72 apply (zenon_L251_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.72 apply (zenon_L171_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.72 apply (zenon_L326_); trivial.
% 21.54/21.72 apply (zenon_L325_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.72 apply (zenon_L327_); trivial.
% 21.54/21.72 apply (zenon_L329_); trivial.
% 21.54/21.72 apply (zenon_L144_); trivial.
% 21.54/21.72 (* end of lemma zenon_L330_ *)
% 21.54/21.72 assert (zenon_L331_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H1cd zenon_H7f zenon_H106.
% 21.54/21.72 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 21.54/21.72 intro zenon_D_pnotp.
% 21.54/21.72 apply zenon_H1cd.
% 21.54/21.72 rewrite <- zenon_D_pnotp.
% 21.54/21.72 exact zenon_H7f.
% 21.54/21.72 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 21.54/21.72 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 21.54/21.72 congruence.
% 21.54/21.72 apply zenon_Hae. apply refl_equal.
% 21.54/21.72 apply zenon_H107. apply sym_equal. exact zenon_H106.
% 21.54/21.72 (* end of lemma zenon_L331_ *)
% 21.54/21.72 assert (zenon_L332_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 21.54/21.72 do 0 intro. intros zenon_H201 zenon_H66 zenon_H77 zenon_Hf3 zenon_H48 zenon_H1bf zenon_H1cd zenon_H7f.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.72 apply (zenon_L94_); trivial.
% 21.54/21.72 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.73 apply (zenon_L117_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.73 exact (zenon_H1bf zenon_H105).
% 21.54/21.73 apply (zenon_L331_); trivial.
% 21.54/21.73 (* end of lemma zenon_L332_ *)
% 21.54/21.73 assert (zenon_L333_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H13b zenon_Ha0 zenon_Ha6 zenon_H2a zenon_H173 zenon_H7f zenon_H1cd zenon_H1bf zenon_H77 zenon_H66 zenon_H201 zenon_H48 zenon_H5c.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.73 apply (zenon_L116_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.73 apply (zenon_L272_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.73 apply (zenon_L332_); trivial.
% 21.54/21.73 apply (zenon_L157_); trivial.
% 21.54/21.73 (* end of lemma zenon_L333_ *)
% 21.54/21.73 assert (zenon_L334_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H13f zenon_Hb6 zenon_Ha8 zenon_H7f zenon_H1f1 zenon_H1bf zenon_H195 zenon_H5c.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.54/21.73 apply (zenon_L151_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.54/21.73 apply (zenon_L284_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.54/21.73 exact (zenon_H1bf zenon_H105).
% 21.54/21.73 apply (zenon_L149_); trivial.
% 21.54/21.73 (* end of lemma zenon_L334_ *)
% 21.54/21.73 assert (zenon_L335_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H61 zenon_H4d zenon_H186.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 21.54/21.73 apply (zenon_L138_); trivial.
% 21.54/21.73 (* end of lemma zenon_L335_ *)
% 21.54/21.73 assert (zenon_L336_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H13a zenon_H47 zenon_Ha0 zenon_H2a zenon_H7f zenon_H1cd zenon_H1bf zenon_H61 zenon_H186 zenon_Hb6 zenon_H201 zenon_Ha9 zenon_Hf6.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.73 apply (zenon_L253_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.73 apply (zenon_L53_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.73 apply (zenon_L95_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.73 apply (zenon_L335_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.73 exact (zenon_H1bf zenon_H105).
% 21.54/21.73 apply (zenon_L331_); trivial.
% 21.54/21.73 apply (zenon_L92_); trivial.
% 21.54/21.73 (* end of lemma zenon_L336_ *)
% 21.54/21.73 assert (zenon_L337_ : (((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)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H13b zenon_H68 zenon_H76 zenon_H2a zenon_H173 zenon_H7f zenon_H1cd zenon_H1bf zenon_H77 zenon_H66 zenon_H201 zenon_H48 zenon_H5c.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.73 apply (zenon_L171_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.73 apply (zenon_L272_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.73 apply (zenon_L332_); trivial.
% 21.54/21.73 apply (zenon_L157_); trivial.
% 21.54/21.73 (* end of lemma zenon_L337_ *)
% 21.54/21.73 assert (zenon_L338_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H13f zenon_H65 zenon_H77 zenon_H7f zenon_H1f1 zenon_H1bf zenon_H195 zenon_H5c.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.54/21.73 apply (zenon_L30_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.54/21.73 apply (zenon_L284_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.54/21.73 exact (zenon_H1bf zenon_H105).
% 21.54/21.73 apply (zenon_L149_); trivial.
% 21.54/21.73 (* end of lemma zenon_L338_ *)
% 21.54/21.73 assert (zenon_L339_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (((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))) -> (~((e0) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H164 zenon_H2a zenon_H192 zenon_H18a zenon_H102 zenon_H19a zenon_Ha0 zenon_H9e zenon_H5c zenon_H48 zenon_H68 zenon_H1cb zenon_H77 zenon_Ha9 zenon_H1c3 zenon_H162.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.73 apply (zenon_L291_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.73 apply (zenon_L292_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.73 apply (zenon_L269_); trivial.
% 21.54/21.73 exact (zenon_H162 zenon_H167).
% 21.54/21.73 (* end of lemma zenon_L339_ *)
% 21.54/21.73 assert (zenon_L340_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H13a zenon_Hb6 zenon_H47 zenon_H66 zenon_H164 zenon_H2a zenon_H192 zenon_H18a zenon_H102 zenon_H19a zenon_Ha0 zenon_H5c zenon_H48 zenon_H68 zenon_H1cb zenon_H77 zenon_Ha9 zenon_H1c3 zenon_H162.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.73 apply (zenon_L253_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.73 apply (zenon_L53_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.73 apply (zenon_L193_); trivial.
% 21.54/21.73 apply (zenon_L339_); trivial.
% 21.54/21.73 (* end of lemma zenon_L340_ *)
% 21.54/21.73 assert (zenon_L341_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H204 zenon_H47 zenon_H2a.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 21.54/21.73 exact (zenon_H205 zenon_H2a).
% 21.54/21.73 exact (zenon_H4c zenon_H47).
% 21.54/21.73 (* end of lemma zenon_L341_ *)
% 21.54/21.73 assert (zenon_L342_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H63 zenon_H47 zenon_H2a.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.54/21.73 apply (zenon_L341_); trivial.
% 21.54/21.73 (* end of lemma zenon_L342_ *)
% 21.54/21.73 assert (zenon_L343_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H87 zenon_H4d zenon_H77.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 21.54/21.73 apply (zenon_L59_); trivial.
% 21.54/21.73 (* end of lemma zenon_L343_ *)
% 21.54/21.73 assert (zenon_L344_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e1) (e3)) = (e1))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_Heb zenon_H7a zenon_H40 zenon_H77 zenon_H87 zenon_Hec.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.73 exact (zenon_H7a zenon_H3c).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.73 exact (zenon_H40 zenon_H3f).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.73 apply (zenon_L343_); trivial.
% 21.54/21.73 exact (zenon_Hec zenon_H5c).
% 21.54/21.73 (* end of lemma zenon_L344_ *)
% 21.54/21.73 assert (zenon_L345_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H15c zenon_H173 zenon_H2a zenon_H156 zenon_H72 zenon_H158 zenon_H7a zenon_H40 zenon_H87 zenon_H77 zenon_Heb.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.54/21.73 apply (zenon_L344_); trivial.
% 21.54/21.73 apply (zenon_L273_); trivial.
% 21.54/21.73 (* end of lemma zenon_L345_ *)
% 21.54/21.73 assert (zenon_L346_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H125 zenon_H4e zenon_H68 zenon_Hb2 zenon_H47 zenon_Hec zenon_H72 zenon_H77 zenon_H40 zenon_Hb6 zenon_Heb zenon_Ha0 zenon_H2d zenon_Ha9.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.73 apply (zenon_L251_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.73 apply (zenon_L83_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.73 apply (zenon_L27_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.73 apply (zenon_L253_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.73 apply (zenon_L66_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.73 apply (zenon_L67_); trivial.
% 21.54/21.73 apply (zenon_L91_); trivial.
% 21.54/21.73 (* end of lemma zenon_L346_ *)
% 21.54/21.73 assert (zenon_L347_ : ((op (e3) (e3)) = (e2)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H17c zenon_Hf6 zenon_H1b4.
% 21.54/21.73 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.54/21.73 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 21.54/21.73 intro zenon_D_pnotp.
% 21.54/21.73 apply zenon_H1b4.
% 21.54/21.73 rewrite <- zenon_D_pnotp.
% 21.54/21.73 exact zenon_H12a.
% 21.54/21.73 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.73 cut (((op (e3) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1b5].
% 21.54/21.73 congruence.
% 21.54/21.73 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e0) (e3)))).
% 21.54/21.73 intro zenon_D_pnotp.
% 21.54/21.73 apply zenon_H1b5.
% 21.54/21.73 rewrite <- zenon_D_pnotp.
% 21.54/21.73 exact zenon_H17c.
% 21.54/21.73 cut (((e2) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a6].
% 21.54/21.73 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.73 congruence.
% 21.54/21.73 apply zenon_H12b. apply refl_equal.
% 21.54/21.73 apply zenon_H1a6. apply sym_equal. exact zenon_Hf6.
% 21.54/21.73 apply zenon_H12b. apply refl_equal.
% 21.54/21.73 apply zenon_H12b. apply refl_equal.
% 21.54/21.73 (* end of lemma zenon_L347_ *)
% 21.54/21.73 assert (zenon_L348_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H7f zenon_H72 zenon_H163 zenon_Hf6 zenon_H1b4.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.54/21.73 apply (zenon_L291_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.54/21.73 apply (zenon_L169_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.54/21.73 apply (zenon_L227_); trivial.
% 21.54/21.73 apply (zenon_L347_); trivial.
% 21.54/21.73 (* end of lemma zenon_L348_ *)
% 21.54/21.73 assert (zenon_L349_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_He4 zenon_H48 zenon_H2a zenon_H40 zenon_H6d zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H72 zenon_H163 zenon_Hf6 zenon_H1b4.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.54/21.73 apply (zenon_L65_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.54/21.73 exact (zenon_H40 zenon_H3f).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.54/21.73 apply (zenon_L56_); trivial.
% 21.54/21.73 apply (zenon_L348_); trivial.
% 21.54/21.73 (* end of lemma zenon_L349_ *)
% 21.54/21.73 assert (zenon_L350_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H139 zenon_H47 zenon_H73 zenon_He4 zenon_H48 zenon_H2a zenon_H40 zenon_H6d zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H72 zenon_H163 zenon_H1b4.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.73 apply (zenon_L251_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.73 apply (zenon_L147_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.73 apply (zenon_L22_); trivial.
% 21.54/21.73 apply (zenon_L349_); trivial.
% 21.54/21.73 (* end of lemma zenon_L350_ *)
% 21.54/21.73 assert (zenon_L351_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((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 (e3) (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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H1fe zenon_H73 zenon_He4 zenon_H163 zenon_H1b4 zenon_H183 zenon_H139 zenon_H47 zenon_H4e zenon_H68 zenon_Hb2 zenon_Ha9 zenon_Ha0 zenon_Hb6 zenon_H125 zenon_H48 zenon_H19d zenon_Heb zenon_H77 zenon_H87 zenon_H40 zenon_H158 zenon_H156 zenon_H2a zenon_H173.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 21.54/21.73 apply (zenon_L345_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.73 apply (zenon_L161_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.73 apply (zenon_L60_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.73 apply (zenon_L346_); trivial.
% 21.54/21.73 apply (zenon_L350_); trivial.
% 21.54/21.73 apply (zenon_L102_); trivial.
% 21.54/21.73 (* end of lemma zenon_L351_ *)
% 21.54/21.73 assert (zenon_L352_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H139 zenon_H77 zenon_H47 zenon_H68 zenon_H2a zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.73 apply (zenon_L251_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.73 apply (zenon_L147_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.73 apply (zenon_L122_); trivial.
% 21.54/21.73 apply (zenon_L167_); trivial.
% 21.54/21.73 (* end of lemma zenon_L352_ *)
% 21.54/21.73 assert (zenon_L353_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H99 zenon_H139 zenon_H77 zenon_H47 zenon_H68 zenon_H2a zenon_H177 zenon_H196.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 21.54/21.73 apply (zenon_L352_); trivial.
% 21.54/21.73 (* end of lemma zenon_L353_ *)
% 21.54/21.73 assert (zenon_L354_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H9b zenon_H47 zenon_H2a.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.54/21.73 apply (zenon_L341_); trivial.
% 21.54/21.73 (* end of lemma zenon_L354_ *)
% 21.54/21.73 assert (zenon_L355_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_Hb2 zenon_Hb6 zenon_H47 zenon_H5d zenon_Ha5 zenon_Ha0 zenon_H2d zenon_Hac zenon_H7d.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.73 apply (zenon_L253_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.73 apply (zenon_L42_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.73 apply (zenon_L67_); trivial.
% 21.54/21.73 apply (zenon_L44_); trivial.
% 21.54/21.73 (* end of lemma zenon_L355_ *)
% 21.54/21.73 assert (zenon_L356_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_Hb2 zenon_Hb6 zenon_H47 zenon_H5d zenon_Ha5 zenon_Ha9 zenon_H65 zenon_Hac zenon_H7d.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.73 apply (zenon_L253_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.73 apply (zenon_L42_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.73 apply (zenon_L43_); trivial.
% 21.54/21.73 apply (zenon_L44_); trivial.
% 21.54/21.73 (* end of lemma zenon_L356_ *)
% 21.54/21.73 assert (zenon_L357_ : (((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)) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H1fe zenon_H19d zenon_H2a zenon_H48 zenon_Ha0 zenon_H125 zenon_Hec zenon_H1d4 zenon_H40 zenon_H77 zenon_Heb zenon_H7d zenon_Hac zenon_Ha9 zenon_Ha5 zenon_H5d zenon_H47 zenon_Hb6 zenon_Hb2 zenon_H68.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.73 apply (zenon_L161_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.73 apply (zenon_L250_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.73 apply (zenon_L355_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.73 apply (zenon_L251_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.73 apply (zenon_L24_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.73 exact (zenon_H40 zenon_H3f).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.73 exact (zenon_H1d4 zenon_H4d).
% 21.54/21.73 exact (zenon_Hec zenon_H5c).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.73 apply (zenon_L356_); trivial.
% 21.54/21.73 apply (zenon_L291_); trivial.
% 21.54/21.73 (* end of lemma zenon_L357_ *)
% 21.54/21.73 assert (zenon_L358_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H158 zenon_H2a zenon_H40 zenon_H6e zenon_H173 zenon_Hac zenon_H11a.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_He7 | zenon_intro zenon_H15a ].
% 21.54/21.73 apply (zenon_L272_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H3f | zenon_intro zenon_H15b ].
% 21.54/21.73 exact (zenon_H40 zenon_H3f).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Hef | zenon_intro zenon_H10c ].
% 21.54/21.73 apply (zenon_L226_); trivial.
% 21.54/21.73 apply (zenon_L79_); trivial.
% 21.54/21.73 (* end of lemma zenon_L358_ *)
% 21.54/21.73 assert (zenon_L359_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H109 zenon_H2d zenon_H34.
% 21.54/21.73 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e3) (e0)))).
% 21.54/21.73 intro zenon_D_pnotp.
% 21.54/21.73 apply zenon_H109.
% 21.54/21.73 rewrite <- zenon_D_pnotp.
% 21.54/21.73 exact zenon_H2d.
% 21.54/21.73 cut (((e0) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 21.54/21.73 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 21.54/21.73 congruence.
% 21.54/21.73 apply zenon_H86. apply refl_equal.
% 21.54/21.73 apply zenon_H35. apply sym_equal. exact zenon_H34.
% 21.54/21.73 (* end of lemma zenon_L359_ *)
% 21.54/21.73 assert (zenon_L360_ : ((op (e3) (e2)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_Hbb zenon_Hac zenon_H1cd.
% 21.54/21.73 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ].
% 21.54/21.73 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 21.54/21.73 intro zenon_D_pnotp.
% 21.54/21.73 apply zenon_H1cd.
% 21.54/21.73 rewrite <- zenon_D_pnotp.
% 21.54/21.73 exact zenon_Hbd.
% 21.54/21.73 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 21.54/21.73 cut (((op (e3) (e2)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 21.54/21.73 congruence.
% 21.54/21.73 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e1)))).
% 21.54/21.73 intro zenon_D_pnotp.
% 21.54/21.73 apply zenon_H1ce.
% 21.54/21.73 rewrite <- zenon_D_pnotp.
% 21.54/21.73 exact zenon_Hbb.
% 21.54/21.73 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H207].
% 21.54/21.73 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 21.54/21.73 congruence.
% 21.54/21.73 apply zenon_Hbe. apply refl_equal.
% 21.54/21.73 apply zenon_H207. apply sym_equal. exact zenon_Hac.
% 21.54/21.73 apply zenon_Hbe. apply refl_equal.
% 21.54/21.73 apply zenon_Hbe. apply refl_equal.
% 21.54/21.73 (* end of lemma zenon_L360_ *)
% 21.54/21.73 assert (zenon_L361_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_Hb1 zenon_Hbb zenon_H1cd.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 21.54/21.73 apply (zenon_L360_); trivial.
% 21.54/21.73 (* end of lemma zenon_L361_ *)
% 21.54/21.73 assert (zenon_L362_ : (((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)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H1a2 zenon_Hb6 zenon_H153 zenon_Hf3 zenon_H14c zenon_Ha0 zenon_Hb1 zenon_H1cd.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.54/21.73 apply (zenon_L95_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.54/21.73 apply (zenon_L162_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.54/21.73 apply (zenon_L278_); trivial.
% 21.54/21.73 apply (zenon_L361_); trivial.
% 21.54/21.73 (* end of lemma zenon_L362_ *)
% 21.54/21.73 assert (zenon_L363_ : (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e1)) -> False).
% 21.54/21.73 do 0 intro. intros zenon_Hb6 zenon_Hbb zenon_H106.
% 21.54/21.73 cut (((op (e3) (e2)) = (e3)) = ((e1) = (e3))).
% 21.54/21.73 intro zenon_D_pnotp.
% 21.54/21.73 apply zenon_Hb6.
% 21.54/21.73 rewrite <- zenon_D_pnotp.
% 21.54/21.73 exact zenon_Hbb.
% 21.54/21.73 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.54/21.73 cut (((op (e3) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H208].
% 21.54/21.73 congruence.
% 21.54/21.73 exact (zenon_H208 zenon_H106).
% 21.54/21.73 apply zenon_Ha2. apply refl_equal.
% 21.54/21.73 (* end of lemma zenon_L363_ *)
% 21.54/21.73 assert (zenon_L364_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H1a2 zenon_Ha9 zenon_H66 zenon_Hf3 zenon_H14c zenon_Ha0 zenon_Hb6 zenon_H106.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.54/21.73 apply (zenon_L193_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.54/21.73 apply (zenon_L162_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.54/21.73 apply (zenon_L278_); trivial.
% 21.54/21.73 apply (zenon_L363_); trivial.
% 21.54/21.73 (* end of lemma zenon_L364_ *)
% 21.54/21.73 assert (zenon_L365_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H201 zenon_H77 zenon_H48 zenon_H1a2 zenon_Ha9 zenon_H66 zenon_Hf3 zenon_H14c zenon_Ha0 zenon_Hb6.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.73 apply (zenon_L94_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.73 apply (zenon_L117_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.73 apply (zenon_L255_); trivial.
% 21.54/21.73 apply (zenon_L364_); trivial.
% 21.54/21.73 (* end of lemma zenon_L365_ *)
% 21.54/21.73 assert (zenon_L366_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H8a zenon_H6d zenon_H190.
% 21.54/21.73 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H112 | zenon_intro zenon_H108 ].
% 21.54/21.73 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e1)) = (op (e2) (e2)))).
% 21.54/21.73 intro zenon_D_pnotp.
% 21.54/21.73 apply zenon_H190.
% 21.54/21.73 rewrite <- zenon_D_pnotp.
% 21.54/21.73 exact zenon_H112.
% 21.54/21.73 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 21.54/21.73 cut (((op (e2) (e2)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 21.54/21.73 congruence.
% 21.54/21.73 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e1)))).
% 21.54/21.73 intro zenon_D_pnotp.
% 21.54/21.73 apply zenon_H1a1.
% 21.54/21.73 rewrite <- zenon_D_pnotp.
% 21.54/21.73 exact zenon_H8a.
% 21.54/21.73 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 21.54/21.73 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 21.54/21.73 congruence.
% 21.54/21.73 apply zenon_H108. apply refl_equal.
% 21.54/21.73 apply zenon_H85. apply sym_equal. exact zenon_H6d.
% 21.54/21.73 apply zenon_H108. apply refl_equal.
% 21.54/21.73 apply zenon_H108. apply refl_equal.
% 21.54/21.73 (* end of lemma zenon_L366_ *)
% 21.54/21.73 assert (zenon_L367_ : (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e1)) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H77 zenon_H160 zenon_H106.
% 21.54/21.73 cut (((op (e3) (e2)) = (e2)) = ((e1) = (e2))).
% 21.54/21.73 intro zenon_D_pnotp.
% 21.54/21.73 apply zenon_H77.
% 21.54/21.73 rewrite <- zenon_D_pnotp.
% 21.54/21.73 exact zenon_H160.
% 21.54/21.73 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.54/21.73 cut (((op (e3) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H208].
% 21.54/21.73 congruence.
% 21.54/21.73 exact (zenon_H208 zenon_H106).
% 21.54/21.73 apply zenon_H6a. apply refl_equal.
% 21.54/21.73 (* end of lemma zenon_L367_ *)
% 21.54/21.73 assert (zenon_L368_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H1cf zenon_Hb6 zenon_Ha0 zenon_H14c zenon_Hf3 zenon_Ha9 zenon_H1a2 zenon_H48 zenon_H201 zenon_H4e zenon_H76 zenon_H190 zenon_H6d zenon_H77 zenon_H106.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.73 apply (zenon_L365_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.73 apply (zenon_L83_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.73 apply (zenon_L366_); trivial.
% 21.54/21.73 apply (zenon_L367_); trivial.
% 21.54/21.73 (* end of lemma zenon_L368_ *)
% 21.54/21.73 assert (zenon_L369_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H183 zenon_H68 zenon_H34 zenon_Hef zenon_H11a zenon_H8a zenon_H104 zenon_Hf6 zenon_H1b4.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.54/21.73 apply (zenon_L291_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.54/21.73 apply (zenon_L119_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.54/21.73 apply (zenon_L231_); trivial.
% 21.54/21.73 apply (zenon_L347_); trivial.
% 21.54/21.73 (* end of lemma zenon_L369_ *)
% 21.54/21.73 assert (zenon_L370_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H141 zenon_H109 zenon_H53 zenon_H196 zenon_H1cf zenon_Hb6 zenon_Ha0 zenon_Hf3 zenon_H1a2 zenon_H48 zenon_H201 zenon_H4e zenon_H76 zenon_H190 zenon_H77 zenon_Hb2 zenon_H47 zenon_H5d zenon_Ha5 zenon_Hac zenon_H7d zenon_H1bf zenon_H1d4 zenon_Hb1 zenon_H1cd zenon_H16a zenon_Ha9 zenon_Ha8 zenon_Hf0 zenon_H1b4 zenon_Hf6 zenon_H104 zenon_H11a zenon_Hef zenon_H34 zenon_H183 zenon_H68.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.73 apply (zenon_L359_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.73 apply (zenon_L111_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.73 apply (zenon_L362_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.73 exact (zenon_H1d4 zenon_H4d).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.73 exact (zenon_H1bf zenon_H105).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.54/21.73 apply (zenon_L356_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.54/21.73 apply (zenon_L368_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.54/21.73 apply (zenon_L369_); trivial.
% 21.54/21.73 apply (zenon_L167_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.54/21.73 apply (zenon_L43_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.54/21.73 apply (zenon_L61_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.54/21.73 apply (zenon_L369_); trivial.
% 21.54/21.73 apply (zenon_L158_); trivial.
% 21.54/21.73 (* end of lemma zenon_L370_ *)
% 21.54/21.73 assert (zenon_L371_ : (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> False).
% 21.54/21.73 do 0 intro. intros zenon_Ha9 zenon_Hac zenon_H171.
% 21.54/21.73 cut (((op (e3) (e1)) = (e3)) = ((e2) = (e3))).
% 21.54/21.73 intro zenon_D_pnotp.
% 21.54/21.73 apply zenon_Ha9.
% 21.54/21.73 rewrite <- zenon_D_pnotp.
% 21.54/21.73 exact zenon_Hac.
% 21.54/21.73 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.54/21.73 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1a7].
% 21.54/21.73 congruence.
% 21.54/21.73 exact (zenon_H1a7 zenon_H171).
% 21.54/21.73 apply zenon_Ha2. apply refl_equal.
% 21.54/21.73 (* end of lemma zenon_L371_ *)
% 21.54/21.73 assert (zenon_L372_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H158 zenon_H2a zenon_H173 zenon_H40 zenon_H1b3 zenon_Hac zenon_H11a.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_He7 | zenon_intro zenon_H15a ].
% 21.54/21.73 apply (zenon_L272_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H3f | zenon_intro zenon_H15b ].
% 21.54/21.73 exact (zenon_H40 zenon_H3f).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Hef | zenon_intro zenon_H10c ].
% 21.54/21.73 exact (zenon_H1b3 zenon_Hef).
% 21.54/21.73 apply (zenon_L79_); trivial.
% 21.54/21.73 (* end of lemma zenon_L372_ *)
% 21.54/21.73 assert (zenon_L373_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H158 zenon_He3 zenon_H40 zenon_H1b3 zenon_Hac zenon_H11a.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_He7 | zenon_intro zenon_H15a ].
% 21.54/21.73 exact (zenon_He3 zenon_He7).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H3f | zenon_intro zenon_H15b ].
% 21.54/21.73 exact (zenon_H40 zenon_H3f).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Hef | zenon_intro zenon_H10c ].
% 21.54/21.73 exact (zenon_H1b3 zenon_Hef).
% 21.54/21.73 apply (zenon_L79_); trivial.
% 21.54/21.73 (* end of lemma zenon_L373_ *)
% 21.54/21.73 assert (zenon_L374_ : ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H3e zenon_He3 zenon_H1b3 zenon_H11a zenon_Hac zenon_H158.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 21.54/21.73 apply (zenon_L373_); trivial.
% 21.54/21.73 apply (zenon_L373_); trivial.
% 21.54/21.73 (* end of lemma zenon_L374_ *)
% 21.54/21.73 assert (zenon_L375_ : (~((op (e1) (e2)) = (op (e1) (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 (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (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) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (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) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H186 zenon_H139 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Hf5 zenon_H13a zenon_H13b zenon_He4 zenon_H1f1 zenon_H195 zenon_H13f zenon_H141 zenon_Hf0 zenon_H1a2 zenon_H1cd zenon_Hb1 zenon_H1bf zenon_H16a zenon_H196 zenon_H104 zenon_H1b4 zenon_H183 zenon_H201 zenon_H190 zenon_H109 zenon_H1a8 zenon_H11a zenon_H19d zenon_H2a zenon_Heb zenon_H40 zenon_H48 zenon_Hb2 zenon_H7d zenon_Ha0 zenon_H5d zenon_H47 zenon_Hb6 zenon_H125 zenon_H68 zenon_Ha9 zenon_H77 zenon_H1fe.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.54/21.73 apply (zenon_L357_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.73 apply (zenon_L13_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.73 apply (zenon_L314_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.73 apply (zenon_L355_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.73 apply (zenon_L251_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.73 apply (zenon_L358_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.73 apply (zenon_L263_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.73 apply (zenon_L251_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.73 apply (zenon_L253_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.73 apply (zenon_L53_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.73 apply (zenon_L253_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.73 apply (zenon_L42_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.73 apply (zenon_L276_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.73 apply (zenon_L272_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.73 exact (zenon_H7a zenon_H3c).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.73 exact (zenon_H40 zenon_H3f).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.73 exact (zenon_H1d4 zenon_H4d).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.54/21.73 apply (zenon_L65_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.54/21.73 exact (zenon_H40 zenon_H3f).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.54/21.73 apply (zenon_L358_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.54/21.73 apply (zenon_L370_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.54/21.73 apply (zenon_L56_); trivial.
% 21.54/21.73 apply (zenon_L371_); trivial.
% 21.54/21.73 apply (zenon_L334_); trivial.
% 21.54/21.73 apply (zenon_L90_); trivial.
% 21.54/21.73 apply (zenon_L221_); trivial.
% 21.54/21.73 apply (zenon_L262_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.73 apply (zenon_L356_); trivial.
% 21.54/21.73 apply (zenon_L291_); trivial.
% 21.54/21.73 apply (zenon_L372_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.54/21.73 apply (zenon_L357_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.73 apply (zenon_L13_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.73 apply (zenon_L309_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.73 apply (zenon_L355_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.73 apply (zenon_L251_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.73 apply (zenon_L147_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.73 apply (zenon_L263_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.73 apply (zenon_L251_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.73 apply (zenon_L253_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.73 apply (zenon_L53_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.73 apply (zenon_L253_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.73 apply (zenon_L42_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.73 apply (zenon_L276_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.73 exact (zenon_He3 zenon_He7).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.73 apply (zenon_L24_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.73 exact (zenon_H40 zenon_H3f).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.73 exact (zenon_H1d4 zenon_H4d).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.54/21.73 apply (zenon_L65_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.54/21.73 exact (zenon_H40 zenon_H3f).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.54/21.73 apply (zenon_L306_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.54/21.73 apply (zenon_L370_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.54/21.73 apply (zenon_L56_); trivial.
% 21.54/21.73 apply (zenon_L371_); trivial.
% 21.54/21.73 apply (zenon_L334_); trivial.
% 21.54/21.73 apply (zenon_L90_); trivial.
% 21.54/21.73 apply (zenon_L221_); trivial.
% 21.54/21.73 apply (zenon_L92_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.73 apply (zenon_L356_); trivial.
% 21.54/21.73 apply (zenon_L291_); trivial.
% 21.54/21.73 apply (zenon_L374_); trivial.
% 21.54/21.73 (* end of lemma zenon_L375_ *)
% 21.54/21.73 assert (zenon_L376_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H13a zenon_Hb6 zenon_H47 zenon_Ha0 zenon_H2a zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.73 apply (zenon_L253_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.73 apply (zenon_L53_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.73 apply (zenon_L178_); trivial.
% 21.54/21.73 apply (zenon_L154_); trivial.
% 21.54/21.73 (* end of lemma zenon_L376_ *)
% 21.54/21.73 assert (zenon_L377_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_Hc0 zenon_H13a zenon_Hb6 zenon_H47 zenon_Ha0 zenon_H2a zenon_H177 zenon_H196.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 21.54/21.73 apply (zenon_L376_); trivial.
% 21.54/21.73 (* end of lemma zenon_L377_ *)
% 21.54/21.73 assert (zenon_L378_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H16a zenon_H7b zenon_H53 zenon_H77 zenon_H8b zenon_H16b.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.54/21.73 exact (zenon_H7b zenon_H65).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.54/21.73 apply (zenon_L56_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.54/21.73 exact (zenon_H8b zenon_H8a).
% 21.54/21.73 exact (zenon_H16b zenon_H93).
% 21.54/21.73 (* end of lemma zenon_L378_ *)
% 21.54/21.73 assert (zenon_L379_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H1a2 zenon_Ha9 zenon_H66 zenon_Hb6 zenon_H4d zenon_H191 zenon_Hac zenon_H1cd.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.54/21.73 apply (zenon_L193_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.54/21.73 apply (zenon_L124_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.54/21.73 exact (zenon_H191 zenon_H110).
% 21.54/21.73 apply (zenon_L360_); trivial.
% 21.54/21.73 (* end of lemma zenon_L379_ *)
% 21.54/21.73 assert (zenon_L380_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H139 zenon_H47 zenon_H11a zenon_H173 zenon_H40 zenon_H2a zenon_H158 zenon_H1cd zenon_Hac zenon_H191 zenon_H4d zenon_Hb6 zenon_Ha9 zenon_H1a2 zenon_H16a zenon_H7b zenon_H53 zenon_H77 zenon_H8b zenon_H196.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.73 apply (zenon_L251_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.73 apply (zenon_L358_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.73 apply (zenon_L379_); trivial.
% 21.54/21.73 apply (zenon_L321_); trivial.
% 21.54/21.73 (* end of lemma zenon_L380_ *)
% 21.54/21.73 assert (zenon_L381_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H92 zenon_H47 zenon_H158 zenon_Hac zenon_H11a zenon_H40 zenon_H2a zenon_H173 zenon_H1a2 zenon_H1cd zenon_H4d zenon_Hb6 zenon_Ha9 zenon_H196 zenon_H139 zenon_H7b zenon_H77 zenon_H53 zenon_H8b zenon_H16a.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.54/21.73 apply (zenon_L378_); trivial.
% 21.54/21.73 apply (zenon_L380_); trivial.
% 21.54/21.73 (* end of lemma zenon_L381_ *)
% 21.54/21.73 assert (zenon_L382_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H13e zenon_H13d zenon_H1bf zenon_H8b zenon_H191.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H14c | zenon_intro zenon_H151 ].
% 21.54/21.73 exact (zenon_H13d zenon_H14c).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H105 | zenon_intro zenon_H152 ].
% 21.54/21.73 exact (zenon_H1bf zenon_H105).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H110 ].
% 21.54/21.73 exact (zenon_H8b zenon_H8a).
% 21.54/21.73 exact (zenon_H191 zenon_H110).
% 21.54/21.73 (* end of lemma zenon_L382_ *)
% 21.54/21.73 assert (zenon_L383_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H92 zenon_H1bf zenon_H13e zenon_H19d zenon_H2a zenon_Hb2 zenon_Hac zenon_H7d zenon_Ha9 zenon_H77 zenon_H53 zenon_H8b zenon_H16a zenon_Ha0 zenon_H47 zenon_Hb6 zenon_H68 zenon_H140 zenon_Hbc zenon_H13d zenon_H4d zenon_H48 zenon_H1d8 zenon_H1fe.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.73 apply (zenon_L161_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.73 apply (zenon_L323_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.73 apply (zenon_L327_); trivial.
% 21.54/21.73 apply (zenon_L329_); trivial.
% 21.54/21.73 apply (zenon_L382_); trivial.
% 21.54/21.73 (* end of lemma zenon_L383_ *)
% 21.54/21.73 assert (zenon_L384_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_Hb2 zenon_H47 zenon_H48 zenon_H201 zenon_H66 zenon_H77 zenon_H1cd zenon_H173 zenon_H2a zenon_Ha0 zenon_H13b zenon_H5c zenon_H195 zenon_H1bf zenon_H1f1 zenon_H7f zenon_Hb6 zenon_H13f zenon_Hac zenon_H7d.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.73 apply (zenon_L253_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.73 apply (zenon_L333_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.73 apply (zenon_L334_); trivial.
% 21.54/21.73 apply (zenon_L44_); trivial.
% 21.54/21.73 (* end of lemma zenon_L384_ *)
% 21.54/21.73 assert (zenon_L385_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H158 zenon_He3 zenon_H40 zenon_Hf0 zenon_H6d zenon_Hac zenon_H11a.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_He7 | zenon_intro zenon_H15a ].
% 21.54/21.73 exact (zenon_He3 zenon_He7).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H3f | zenon_intro zenon_H15b ].
% 21.54/21.73 exact (zenon_H40 zenon_H3f).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Hef | zenon_intro zenon_H10c ].
% 21.54/21.73 apply (zenon_L61_); trivial.
% 21.54/21.73 apply (zenon_L79_); trivial.
% 21.54/21.73 (* end of lemma zenon_L385_ *)
% 21.54/21.73 assert (zenon_L386_ : ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H44 zenon_Hf0 zenon_H6d zenon_H11a zenon_Hac zenon_Heb zenon_H77 zenon_H87 zenon_H40 zenon_H158 zenon_H72 zenon_H156 zenon_H2a zenon_H173 zenon_H15c.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 21.54/21.73 apply (zenon_L345_); trivial.
% 21.54/21.73 apply (zenon_L385_); trivial.
% 21.54/21.73 (* end of lemma zenon_L386_ *)
% 21.54/21.73 assert (zenon_L387_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H9b zenon_Hac zenon_H7d.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 21.54/21.73 apply (zenon_L44_); trivial.
% 21.54/21.73 (* end of lemma zenon_L387_ *)
% 21.54/21.73 assert (zenon_L388_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_Hc0 zenon_Hac zenon_H1cd.
% 21.54/21.73 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 21.54/21.73 apply (zenon_L360_); trivial.
% 21.54/21.73 (* end of lemma zenon_L388_ *)
% 21.54/21.73 assert (zenon_L389_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H158 zenon_H2a zenon_H173 zenon_H40 zenon_Hf0 zenon_H6d zenon_H159.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_He7 | zenon_intro zenon_H15a ].
% 21.54/21.73 apply (zenon_L272_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H3f | zenon_intro zenon_H15b ].
% 21.54/21.73 exact (zenon_H40 zenon_H3f).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Hef | zenon_intro zenon_H10c ].
% 21.54/21.73 apply (zenon_L61_); trivial.
% 21.54/21.73 exact (zenon_H159 zenon_H10c).
% 21.54/21.73 (* end of lemma zenon_L389_ *)
% 21.54/21.73 assert (zenon_L390_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 21.54/21.73 do 0 intro. intros zenon_Hb2 zenon_H47 zenon_Hec zenon_He4 zenon_H40 zenon_Hfa zenon_H1b3 zenon_H13c zenon_H129 zenon_Ha0 zenon_H48 zenon_H179 zenon_H25 zenon_H164 zenon_H1ef zenon_H66 zenon_H1a2 zenon_H13f zenon_H196 zenon_H6d zenon_H117 zenon_H1f1 zenon_H2a zenon_H192 zenon_H1c3 zenon_H9e zenon_H77 zenon_H68 zenon_H141 zenon_Hb6 zenon_Heb zenon_Ha9 zenon_H102.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.73 apply (zenon_L253_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.73 apply (zenon_L116_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.73 apply (zenon_L25_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.73 exact (zenon_H40 zenon_H3f).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.73 apply (zenon_L301_); trivial.
% 21.54/21.73 exact (zenon_Hec zenon_H5c).
% 21.54/21.73 apply (zenon_L91_); trivial.
% 21.54/21.73 (* end of lemma zenon_L390_ *)
% 21.54/21.73 assert (zenon_L391_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_Heb zenon_H48 zenon_H28 zenon_H40 zenon_H105 zenon_H131 zenon_Hec.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.73 apply (zenon_L26_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.73 exact (zenon_H40 zenon_H3f).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.73 apply (zenon_L128_); trivial.
% 21.54/21.73 exact (zenon_Hec zenon_H5c).
% 21.54/21.73 (* end of lemma zenon_L391_ *)
% 21.54/21.73 assert (zenon_L392_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H15c zenon_H173 zenon_H2a zenon_Hf0 zenon_H6d zenon_H158 zenon_H28 zenon_H48 zenon_H40 zenon_H131 zenon_H105 zenon_Heb.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.54/21.73 apply (zenon_L391_); trivial.
% 21.54/21.73 apply (zenon_L389_); trivial.
% 21.54/21.73 (* end of lemma zenon_L392_ *)
% 21.54/21.73 assert (zenon_L393_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H121 zenon_H209 zenon_H11a zenon_H10c zenon_H177 zenon_Hfe zenon_Hc4.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.54/21.73 exact (zenon_H209 zenon_H9d).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.54/21.73 apply (zenon_L79_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.54/21.73 apply (zenon_L178_); trivial.
% 21.54/21.73 exact (zenon_Hc4 zenon_Hc3).
% 21.54/21.73 (* end of lemma zenon_L393_ *)
% 21.54/21.73 assert (zenon_L394_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H158 zenon_H2a zenon_H173 zenon_H40 zenon_Hf0 zenon_H6d zenon_Hac zenon_H11a.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_He7 | zenon_intro zenon_H15a ].
% 21.54/21.73 apply (zenon_L272_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H3f | zenon_intro zenon_H15b ].
% 21.54/21.73 exact (zenon_H40 zenon_H3f).
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Hef | zenon_intro zenon_H10c ].
% 21.54/21.73 apply (zenon_L61_); trivial.
% 21.54/21.73 apply (zenon_L79_); trivial.
% 21.54/21.73 (* end of lemma zenon_L394_ *)
% 21.54/21.73 assert (zenon_L395_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H1c6 zenon_Ha0 zenon_Hc4 zenon_Hfe zenon_H177 zenon_H209 zenon_H121 zenon_Ha9 zenon_H158 zenon_H2a zenon_H173 zenon_H40 zenon_Hf0 zenon_H6d zenon_H11a.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.54/21.73 apply (zenon_L53_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.54/21.73 apply (zenon_L393_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.54/21.73 apply (zenon_L289_); trivial.
% 21.54/21.73 apply (zenon_L394_); trivial.
% 21.54/21.73 (* end of lemma zenon_L395_ *)
% 21.54/21.73 assert (zenon_L396_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_Hfa zenon_H68 zenon_H25 zenon_Hf0 zenon_H6d zenon_H73 zenon_H66 zenon_H5c zenon_H77.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.73 apply (zenon_L171_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.73 apply (zenon_L61_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.73 apply (zenon_L22_); trivial.
% 21.54/21.73 apply (zenon_L206_); trivial.
% 21.54/21.73 (* end of lemma zenon_L396_ *)
% 21.54/21.73 assert (zenon_L397_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e3) (e2)) = (e3))) -> False).
% 21.54/21.73 do 0 intro. intros zenon_H1a2 zenon_Hc4 zenon_H177 zenon_H10c zenon_H11a zenon_H209 zenon_H121 zenon_Ha0 zenon_Hf3 zenon_H1ef zenon_Ha8 zenon_H1a3.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.54/21.73 apply (zenon_L393_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.54/21.73 apply (zenon_L162_); trivial.
% 21.54/21.73 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.54/21.73 apply (zenon_L282_); trivial.
% 21.54/21.73 exact (zenon_H1a3 zenon_Hbb).
% 21.54/21.73 (* end of lemma zenon_L397_ *)
% 21.54/21.73 assert (zenon_L398_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H1c6 zenon_H1a3 zenon_Ha8 zenon_H1ef zenon_Hf3 zenon_Ha0 zenon_H121 zenon_H209 zenon_H177 zenon_Hc4 zenon_H1a2 zenon_Ha9 zenon_H158 zenon_H2a zenon_H173 zenon_H40 zenon_Hf0 zenon_H6d zenon_H11a.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.54/21.74 apply (zenon_L53_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.54/21.74 apply (zenon_L397_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.54/21.74 apply (zenon_L289_); trivial.
% 21.54/21.74 apply (zenon_L394_); trivial.
% 21.54/21.74 (* end of lemma zenon_L398_ *)
% 21.54/21.74 assert (zenon_L399_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H13b zenon_H77 zenon_H66 zenon_H73 zenon_H68 zenon_Hfa zenon_H11a zenon_H6d zenon_Hf0 zenon_H40 zenon_H173 zenon_H2a zenon_H158 zenon_Ha9 zenon_H1a2 zenon_Hc4 zenon_H177 zenon_H209 zenon_H121 zenon_Ha0 zenon_H1ef zenon_Ha8 zenon_H1a3 zenon_H1c6 zenon_H48 zenon_H5c.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.74 apply (zenon_L396_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.74 apply (zenon_L272_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.74 apply (zenon_L398_); trivial.
% 21.54/21.74 apply (zenon_L157_); trivial.
% 21.54/21.74 (* end of lemma zenon_L399_ *)
% 21.54/21.74 assert (zenon_L400_ : ((op (e2) (e2)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H105 zenon_H110 zenon_Hb6.
% 21.54/21.74 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.54/21.74 cut (((e3) = (e3)) = ((e1) = (e3))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_Hb6.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_Ha1.
% 21.54/21.74 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.54/21.74 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 21.54/21.74 congruence.
% 21.54/21.74 cut (((op (e2) (e2)) = (e1)) = ((e3) = (e1))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_Hb7.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H105.
% 21.54/21.74 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.54/21.74 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H191].
% 21.54/21.74 congruence.
% 21.54/21.74 exact (zenon_H191 zenon_H110).
% 21.54/21.74 apply zenon_H4a. apply refl_equal.
% 21.54/21.74 apply zenon_Ha2. apply refl_equal.
% 21.54/21.74 apply zenon_Ha2. apply refl_equal.
% 21.54/21.74 (* end of lemma zenon_L400_ *)
% 21.54/21.74 assert (zenon_L401_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H13a zenon_Hb6 zenon_H47 zenon_H11a zenon_H6d zenon_Hf0 zenon_H40 zenon_H173 zenon_H2a zenon_H158 zenon_H121 zenon_H209 zenon_H177 zenon_Hc4 zenon_Ha0 zenon_H1c6 zenon_Ha9 zenon_Hf6.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.74 apply (zenon_L253_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.74 apply (zenon_L53_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.74 apply (zenon_L395_); trivial.
% 21.54/21.74 apply (zenon_L92_); trivial.
% 21.54/21.74 (* end of lemma zenon_L401_ *)
% 21.54/21.74 assert (zenon_L402_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H15d zenon_Ha9 zenon_H1c6 zenon_Ha0 zenon_Hc4 zenon_H177 zenon_H209 zenon_H121 zenon_H158 zenon_H2a zenon_H173 zenon_H40 zenon_Hf0 zenon_H6d zenon_H11a zenon_Hb6 zenon_H13a zenon_H117 zenon_H48 zenon_H1a3 zenon_H1ef zenon_H1a2 zenon_Hfa zenon_H68 zenon_H73 zenon_H77 zenon_H13b zenon_H196 zenon_H6f zenon_H139 zenon_H7f zenon_H192 zenon_H105 zenon_H111 zenon_H5c zenon_Hf5.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.74 apply (zenon_L251_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.74 apply (zenon_L21_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.74 apply (zenon_L253_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.74 apply (zenon_L53_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.74 apply (zenon_L395_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.74 apply (zenon_L399_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.74 apply (zenon_L289_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.74 apply (zenon_L400_); trivial.
% 21.54/21.74 apply (zenon_L154_); trivial.
% 21.54/21.74 apply (zenon_L401_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.74 apply (zenon_L146_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.74 apply (zenon_L148_); trivial.
% 21.54/21.74 apply (zenon_L192_); trivial.
% 21.54/21.74 (* end of lemma zenon_L402_ *)
% 21.54/21.74 assert (zenon_L403_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H139 zenon_H77 zenon_H5c zenon_H73 zenon_H25 zenon_H68 zenon_Hfa zenon_H13a zenon_Hb6 zenon_H47 zenon_H11a zenon_H6d zenon_Hf0 zenon_H40 zenon_H173 zenon_H2a zenon_H158 zenon_H121 zenon_H209 zenon_H177 zenon_Hc4 zenon_Ha0 zenon_H1c6 zenon_Ha9.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.74 apply (zenon_L251_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.74 apply (zenon_L147_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.74 apply (zenon_L396_); trivial.
% 21.54/21.74 apply (zenon_L401_); trivial.
% 21.54/21.74 (* end of lemma zenon_L403_ *)
% 21.54/21.74 assert (zenon_L404_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H117 zenon_Ha0 zenon_H2d zenon_Ha9 zenon_H6d zenon_Hb6 zenon_H105 zenon_H9e zenon_H196.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.74 apply (zenon_L67_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.74 apply (zenon_L289_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.74 apply (zenon_L400_); trivial.
% 21.54/21.74 apply (zenon_L154_); trivial.
% 21.54/21.74 (* end of lemma zenon_L404_ *)
% 21.54/21.74 assert (zenon_L405_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H1ef zenon_H2d zenon_H14c.
% 21.54/21.74 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_H1ef.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H2d.
% 21.54/21.74 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H20a].
% 21.54/21.74 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 21.54/21.74 congruence.
% 21.54/21.74 apply zenon_H86. apply refl_equal.
% 21.54/21.74 apply zenon_H20a. apply sym_equal. exact zenon_H14c.
% 21.54/21.74 (* end of lemma zenon_L405_ *)
% 21.54/21.74 assert (zenon_L406_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H177 zenon_H31 zenon_H11d.
% 21.54/21.74 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_H177.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H31.
% 21.54/21.74 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H168].
% 21.54/21.74 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 21.54/21.74 congruence.
% 21.54/21.74 apply zenon_H135. apply refl_equal.
% 21.54/21.74 apply zenon_H168. apply sym_equal. exact zenon_H11d.
% 21.54/21.74 (* end of lemma zenon_L406_ *)
% 21.54/21.74 assert (zenon_L407_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H183 zenon_H9d zenon_Ha9 zenon_H77 zenon_H7f zenon_H72 zenon_H163 zenon_Hf6 zenon_H1b4.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.54/21.74 apply (zenon_L91_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.54/21.74 apply (zenon_L169_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.54/21.74 apply (zenon_L227_); trivial.
% 21.54/21.74 apply (zenon_L347_); trivial.
% 21.54/21.74 (* end of lemma zenon_L407_ *)
% 21.54/21.74 assert (zenon_L408_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H121 zenon_H1b4 zenon_Hf6 zenon_H163 zenon_H72 zenon_H7f zenon_H77 zenon_Ha9 zenon_H183 zenon_H11a zenon_H10c zenon_H11d zenon_Ha0 zenon_Hb9 zenon_H129.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.54/21.74 apply (zenon_L407_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.54/21.74 apply (zenon_L79_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.54/21.74 apply (zenon_L80_); trivial.
% 21.54/21.74 apply (zenon_L189_); trivial.
% 21.54/21.74 (* end of lemma zenon_L408_ *)
% 21.54/21.74 assert (zenon_L409_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H117 zenon_H2d zenon_H6d zenon_H111 zenon_Hfe zenon_H121 zenon_H1b4 zenon_Hf6 zenon_H163 zenon_H72 zenon_H7f zenon_H77 zenon_Ha9 zenon_H183 zenon_H11a zenon_H10c zenon_H11d zenon_Ha0 zenon_H129.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.74 apply (zenon_L67_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.74 apply (zenon_L289_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.74 apply (zenon_L75_); trivial.
% 21.54/21.74 apply (zenon_L408_); trivial.
% 21.54/21.74 (* end of lemma zenon_L409_ *)
% 21.54/21.74 assert (zenon_L410_ : (((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)) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H140 zenon_H1d8 zenon_H2a zenon_H68 zenon_H1ef zenon_H20b zenon_H177 zenon_H105 zenon_H73 zenon_H117 zenon_H2d zenon_H6d zenon_H111 zenon_H121 zenon_H1b4 zenon_Hf6 zenon_H163 zenon_H72 zenon_H7f zenon_H77 zenon_Ha9 zenon_H183 zenon_H11a zenon_H10c zenon_Ha0 zenon_H129.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.74 apply (zenon_L254_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.74 apply (zenon_L62_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.74 apply (zenon_L405_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H31 | zenon_intro zenon_H20c ].
% 21.54/21.74 apply (zenon_L406_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H153 | zenon_intro zenon_H20d ].
% 21.54/21.74 apply (zenon_L148_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfe ].
% 21.54/21.74 apply (zenon_L22_); trivial.
% 21.54/21.74 apply (zenon_L409_); trivial.
% 21.54/21.74 (* end of lemma zenon_L410_ *)
% 21.54/21.74 assert (zenon_L411_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H1b4 zenon_H38 zenon_H167.
% 21.54/21.74 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_H1b4.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H38.
% 21.54/21.74 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H20e].
% 21.54/21.74 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 21.54/21.74 congruence.
% 21.54/21.74 apply zenon_Hf9. apply refl_equal.
% 21.54/21.74 apply zenon_H20e. apply sym_equal. exact zenon_H167.
% 21.54/21.74 (* end of lemma zenon_L411_ *)
% 21.54/21.74 assert (zenon_L412_ : ((op (e3) (e3)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H11f zenon_H5c zenon_H20f.
% 21.54/21.74 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.54/21.74 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_H20f.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H12a.
% 21.54/21.74 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.74 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H210].
% 21.54/21.74 congruence.
% 21.54/21.74 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e1) (e3)))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_H210.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H11f.
% 21.54/21.74 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H211].
% 21.54/21.74 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.74 congruence.
% 21.54/21.74 apply zenon_H12b. apply refl_equal.
% 21.54/21.74 apply zenon_H211. apply sym_equal. exact zenon_H5c.
% 21.54/21.74 apply zenon_H12b. apply refl_equal.
% 21.54/21.74 apply zenon_H12b. apply refl_equal.
% 21.54/21.74 (* end of lemma zenon_L412_ *)
% 21.54/21.74 assert (zenon_L413_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H5c zenon_H129 zenon_H93 zenon_Hc4.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.54/21.74 apply (zenon_L411_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.54/21.74 apply (zenon_L412_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.54/21.74 apply (zenon_L126_); trivial.
% 21.54/21.74 exact (zenon_Hc4 zenon_Hc3).
% 21.54/21.74 (* end of lemma zenon_L413_ *)
% 21.54/21.74 assert (zenon_L414_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H1c3 zenon_H68 zenon_H77 zenon_Hc4 zenon_H129 zenon_H5c zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H181.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.54/21.74 apply (zenon_L165_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.54/21.74 apply (zenon_L206_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.54/21.74 apply (zenon_L413_); trivial.
% 21.54/21.74 exact (zenon_H181 zenon_H17c).
% 21.54/21.74 (* end of lemma zenon_L414_ *)
% 21.54/21.74 assert (zenon_L415_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H1bb zenon_H129 zenon_H115 zenon_H120 zenon_H181 zenon_Hc4.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.54/21.74 apply (zenon_L298_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.54/21.74 exact (zenon_H120 zenon_H11f).
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.54/21.74 exact (zenon_H181 zenon_H17c).
% 21.54/21.74 exact (zenon_Hc4 zenon_Hc3).
% 21.54/21.74 (* end of lemma zenon_L415_ *)
% 21.54/21.74 assert (zenon_L416_ : ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H167 zenon_H34 zenon_H18a.
% 21.54/21.74 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.54/21.74 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_H18a.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H12a.
% 21.54/21.74 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.74 cut (((op (e3) (e3)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 21.54/21.74 congruence.
% 21.54/21.74 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e3) (e0)))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_H18b.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H167.
% 21.54/21.74 cut (((e0) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 21.54/21.74 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.74 congruence.
% 21.54/21.74 apply zenon_H12b. apply refl_equal.
% 21.54/21.74 apply zenon_H35. apply sym_equal. exact zenon_H34.
% 21.54/21.74 apply zenon_H12b. apply refl_equal.
% 21.54/21.74 apply zenon_H12b. apply refl_equal.
% 21.54/21.74 (* end of lemma zenon_L416_ *)
% 21.54/21.74 assert (zenon_L417_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H212 zenon_H18a zenon_H167 zenon_H7f zenon_H7d zenon_Hbc zenon_H160 zenon_H209.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H34 | zenon_intro zenon_H213 ].
% 21.54/21.74 apply (zenon_L416_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H7e | zenon_intro zenon_H214 ].
% 21.54/21.74 apply (zenon_L31_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H102 | zenon_intro zenon_H9d ].
% 21.54/21.74 apply (zenon_L104_); trivial.
% 21.54/21.74 exact (zenon_H209 zenon_H9d).
% 21.54/21.74 (* end of lemma zenon_L417_ *)
% 21.54/21.74 assert (zenon_L418_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H19a zenon_H1b4 zenon_H20f zenon_H77 zenon_H68 zenon_H1c3 zenon_H5c zenon_H48 zenon_Hc4 zenon_H181 zenon_H120 zenon_H129 zenon_H1bb zenon_H212 zenon_H18a zenon_H7f zenon_H7d zenon_Hbc zenon_H160 zenon_H209.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.54/21.74 apply (zenon_L414_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.54/21.74 apply (zenon_L157_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.54/21.74 apply (zenon_L415_); trivial.
% 21.54/21.74 apply (zenon_L417_); trivial.
% 21.54/21.74 (* end of lemma zenon_L418_ *)
% 21.54/21.74 assert (zenon_L419_ : (((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 (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H19a zenon_Ha0 zenon_H9e zenon_H5c zenon_H48 zenon_Hc4 zenon_H181 zenon_H120 zenon_H129 zenon_H1bb zenon_H34 zenon_H18a.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.54/21.74 apply (zenon_L156_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.54/21.74 apply (zenon_L157_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.54/21.74 apply (zenon_L415_); trivial.
% 21.54/21.74 apply (zenon_L416_); trivial.
% 21.54/21.74 (* end of lemma zenon_L419_ *)
% 21.54/21.74 assert (zenon_L420_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H7f zenon_H8a zenon_H104 zenon_H181.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.54/21.74 apply (zenon_L291_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.54/21.74 apply (zenon_L169_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.54/21.74 apply (zenon_L231_); trivial.
% 21.54/21.74 exact (zenon_H181 zenon_H17c).
% 21.54/21.74 (* end of lemma zenon_L420_ *)
% 21.54/21.74 assert (zenon_L421_ : ((op (e3) (e3)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H167 zenon_H136 zenon_H20f.
% 21.54/21.74 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.54/21.74 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_H20f.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H12a.
% 21.54/21.74 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.74 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H210].
% 21.54/21.74 congruence.
% 21.54/21.74 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e1) (e3)))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_H210.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H167.
% 21.54/21.74 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H215].
% 21.54/21.74 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.74 congruence.
% 21.54/21.74 apply zenon_H12b. apply refl_equal.
% 21.54/21.74 apply zenon_H215. apply sym_equal. exact zenon_H136.
% 21.54/21.74 apply zenon_H12b. apply refl_equal.
% 21.54/21.74 apply zenon_H12b. apply refl_equal.
% 21.54/21.74 (* end of lemma zenon_L421_ *)
% 21.54/21.74 assert (zenon_L422_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H1bb zenon_H20f zenon_H136 zenon_H120 zenon_H181 zenon_Hc4.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.54/21.74 apply (zenon_L421_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.54/21.74 exact (zenon_H120 zenon_H11f).
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.54/21.74 exact (zenon_H181 zenon_H17c).
% 21.54/21.74 exact (zenon_Hc4 zenon_Hc3).
% 21.54/21.74 (* end of lemma zenon_L422_ *)
% 21.54/21.74 assert (zenon_L423_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H139 zenon_H13a zenon_Hb6 zenon_H47 zenon_Ha0 zenon_Hc4 zenon_H181 zenon_H120 zenon_H20f zenon_H1bb zenon_H1cf zenon_H104 zenon_H34 zenon_H183 zenon_H19a zenon_H1b4 zenon_H77 zenon_H68 zenon_H1c3 zenon_H5c zenon_H48 zenon_H129 zenon_H212 zenon_H18a zenon_H7f zenon_H7d zenon_Hbc zenon_H209 zenon_H173 zenon_H2a zenon_H179 zenon_H13b zenon_Ha9.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.74 apply (zenon_L251_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.74 apply (zenon_L147_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.74 apply (zenon_L253_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.74 apply (zenon_L53_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.74 apply (zenon_L193_); trivial.
% 21.54/21.74 apply (zenon_L419_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.74 apply (zenon_L253_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.74 apply (zenon_L53_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.74 apply (zenon_L297_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.74 apply (zenon_L272_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.74 apply (zenon_L193_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.74 apply (zenon_L62_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.74 apply (zenon_L420_); trivial.
% 21.54/21.74 apply (zenon_L418_); trivial.
% 21.54/21.74 apply (zenon_L422_); trivial.
% 21.54/21.74 apply (zenon_L92_); trivial.
% 21.54/21.74 (* end of lemma zenon_L423_ *)
% 21.54/21.74 assert (zenon_L424_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H1fe zenon_H19d zenon_Hfa zenon_H192 zenon_H6f zenon_H196 zenon_H11a zenon_H6d zenon_Hf0 zenon_H40 zenon_H158 zenon_H163 zenon_H121 zenon_H117 zenon_H73 zenon_H177 zenon_H20b zenon_H1ef zenon_H1d8 zenon_H140 zenon_H190 zenon_H1c6 zenon_H15d zenon_Ha9 zenon_H13b zenon_H179 zenon_H173 zenon_H209 zenon_Hbc zenon_H7d zenon_H7f zenon_H18a zenon_H212 zenon_H129 zenon_H1c3 zenon_H68 zenon_H77 zenon_H1b4 zenon_H19a zenon_H183 zenon_H104 zenon_H1cf zenon_H1bb zenon_H20f zenon_H120 zenon_H181 zenon_Hc4 zenon_Ha0 zenon_Hb6 zenon_H13a zenon_H139 zenon_H48 zenon_H2a zenon_H105 zenon_H111 zenon_H5c zenon_Hf5.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.74 apply (zenon_L161_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.74 apply (zenon_L403_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.74 apply (zenon_L65_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.74 apply (zenon_L148_); trivial.
% 21.54/21.74 apply (zenon_L192_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.74 apply (zenon_L251_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.74 apply (zenon_L21_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.74 apply (zenon_L253_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.74 apply (zenon_L53_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.74 apply (zenon_L193_); trivial.
% 21.54/21.74 apply (zenon_L404_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.74 apply (zenon_L253_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.74 apply (zenon_L53_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.54/21.74 apply (zenon_L53_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.74 apply (zenon_L193_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.74 apply (zenon_L410_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.74 apply (zenon_L366_); trivial.
% 21.54/21.74 apply (zenon_L418_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.54/21.74 apply (zenon_L289_); trivial.
% 21.54/21.74 apply (zenon_L394_); trivial.
% 21.54/21.74 apply (zenon_L92_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.74 apply (zenon_L146_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.74 apply (zenon_L148_); trivial.
% 21.54/21.74 apply (zenon_L192_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.74 apply (zenon_L423_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.74 apply (zenon_L65_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.74 apply (zenon_L148_); trivial.
% 21.54/21.74 apply (zenon_L192_); trivial.
% 21.54/21.74 (* end of lemma zenon_L424_ *)
% 21.54/21.74 assert (zenon_L425_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H1cf zenon_Ha9 zenon_Hfe zenon_Hf3 zenon_H68 zenon_H190 zenon_H6d zenon_H1bb zenon_H162 zenon_H120 zenon_H1cb zenon_Hc4.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.74 apply (zenon_L193_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.74 apply (zenon_L62_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.74 apply (zenon_L366_); trivial.
% 21.54/21.74 apply (zenon_L237_); trivial.
% 21.54/21.74 (* end of lemma zenon_L425_ *)
% 21.54/21.74 assert (zenon_L426_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H13b zenon_H76 zenon_H2a zenon_H173 zenon_Hc4 zenon_H1cb zenon_H120 zenon_H162 zenon_H1bb zenon_H6d zenon_H190 zenon_H68 zenon_Hfe zenon_Ha9 zenon_H1cf zenon_H48 zenon_H5c.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.74 apply (zenon_L171_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.74 apply (zenon_L272_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.74 apply (zenon_L425_); trivial.
% 21.54/21.74 apply (zenon_L157_); trivial.
% 21.54/21.74 (* end of lemma zenon_L426_ *)
% 21.54/21.74 assert (zenon_L427_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H13b zenon_H76 zenon_H2a zenon_H173 zenon_H1a3 zenon_Ha8 zenon_H1ef zenon_Ha0 zenon_H1cf zenon_Ha9 zenon_H68 zenon_H190 zenon_H6d zenon_H1bb zenon_H162 zenon_H120 zenon_H1cb zenon_Hc4 zenon_H1a2 zenon_H48 zenon_H5c.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.74 apply (zenon_L171_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.74 apply (zenon_L272_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.54/21.74 apply (zenon_L425_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.54/21.74 apply (zenon_L162_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.54/21.74 apply (zenon_L282_); trivial.
% 21.54/21.74 exact (zenon_H1a3 zenon_Hbb).
% 21.54/21.74 apply (zenon_L157_); trivial.
% 21.54/21.74 (* end of lemma zenon_L427_ *)
% 21.54/21.74 assert (zenon_L428_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H125 zenon_H196 zenon_H105 zenon_H13b zenon_H173 zenon_H1a3 zenon_H1ef zenon_H1cf zenon_H190 zenon_H1bb zenon_H120 zenon_Hc4 zenon_H1a2 zenon_H117 zenon_H6d zenon_H55 zenon_H13a zenon_Hb6 zenon_H47 zenon_H66 zenon_H164 zenon_H2a zenon_H192 zenon_H18a zenon_H19a zenon_Ha0 zenon_H5c zenon_H48 zenon_H68 zenon_H1cb zenon_H77 zenon_Ha9 zenon_H1c3 zenon_H162.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.74 apply (zenon_L251_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.74 apply (zenon_L253_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.74 apply (zenon_L53_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.74 apply (zenon_L426_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.74 apply (zenon_L427_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.74 apply (zenon_L289_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.74 apply (zenon_L400_); trivial.
% 21.54/21.74 apply (zenon_L154_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.74 apply (zenon_L34_); trivial.
% 21.54/21.74 apply (zenon_L340_); trivial.
% 21.54/21.74 (* end of lemma zenon_L428_ *)
% 21.54/21.74 assert (zenon_L429_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H13a zenon_Hb6 zenon_H47 zenon_Ha0 zenon_H5c zenon_H48 zenon_H1cf zenon_H68 zenon_H190 zenon_H6d zenon_H1bb zenon_H162 zenon_H120 zenon_H1cb zenon_Hc4 zenon_H173 zenon_H2a zenon_H76 zenon_H13b zenon_Ha9 zenon_Hf6.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.74 apply (zenon_L253_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.74 apply (zenon_L53_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.74 apply (zenon_L426_); trivial.
% 21.54/21.74 apply (zenon_L92_); trivial.
% 21.54/21.74 (* end of lemma zenon_L429_ *)
% 21.54/21.74 assert (zenon_L430_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_He4 zenon_H48 zenon_H2a zenon_H40 zenon_H105 zenon_H190 zenon_H183 zenon_H9d zenon_Ha9 zenon_H77 zenon_H72 zenon_H163 zenon_Hf6 zenon_H1b4.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.54/21.74 apply (zenon_L65_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.54/21.74 exact (zenon_H40 zenon_H3f).
% 21.54/21.74 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.54/21.74 apply (zenon_L143_); trivial.
% 21.54/21.74 apply (zenon_L407_); trivial.
% 21.54/21.74 (* end of lemma zenon_L430_ *)
% 21.54/21.74 assert (zenon_L431_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H121 zenon_H1b4 zenon_Hf6 zenon_H163 zenon_H72 zenon_H77 zenon_Ha9 zenon_H183 zenon_H190 zenon_H105 zenon_H40 zenon_H2a zenon_H48 zenon_He4 zenon_H11a zenon_H10c zenon_H1a3 zenon_Hc4.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.54/21.74 apply (zenon_L430_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.54/21.74 apply (zenon_L79_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.54/21.74 exact (zenon_H1a3 zenon_Hbb).
% 21.54/21.74 exact (zenon_Hc4 zenon_Hc3).
% 21.54/21.74 (* end of lemma zenon_L431_ *)
% 21.54/21.74 assert (zenon_L432_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H15d zenon_H77 zenon_H1c6 zenon_Ha0 zenon_Hc4 zenon_H1a3 zenon_He4 zenon_H48 zenon_H190 zenon_H183 zenon_H163 zenon_H1b4 zenon_H121 zenon_Ha9 zenon_H158 zenon_H2a zenon_H173 zenon_H40 zenon_Hf0 zenon_H6d zenon_H11a zenon_H13a zenon_Hb6 zenon_H1cf zenon_H68 zenon_H1bb zenon_H162 zenon_H120 zenon_H1cb zenon_H13b zenon_Hfa zenon_H125 zenon_H196 zenon_H1ef zenon_H1a2 zenon_H117 zenon_H55 zenon_H164 zenon_H18a zenon_H19a zenon_H1c3 zenon_H6f zenon_H139 zenon_H7f zenon_H192 zenon_H105 zenon_H111 zenon_H5c zenon_Hf5.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.74 apply (zenon_L251_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.74 apply (zenon_L21_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.74 apply (zenon_L428_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.74 apply (zenon_L429_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.74 apply (zenon_L61_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.54/21.74 apply (zenon_L53_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.54/21.74 apply (zenon_L431_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.54/21.74 apply (zenon_L289_); trivial.
% 21.54/21.74 apply (zenon_L394_); trivial.
% 21.54/21.74 apply (zenon_L206_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.74 apply (zenon_L146_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.74 apply (zenon_L148_); trivial.
% 21.54/21.74 apply (zenon_L192_); trivial.
% 21.54/21.74 (* end of lemma zenon_L432_ *)
% 21.54/21.74 assert (zenon_L433_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H1bb zenon_H162 zenon_H120 zenon_H181 zenon_Hc4.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.54/21.74 exact (zenon_H162 zenon_H167).
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.54/21.74 exact (zenon_H120 zenon_H11f).
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.54/21.74 exact (zenon_H181 zenon_H17c).
% 21.54/21.74 exact (zenon_Hc4 zenon_Hc3).
% 21.54/21.74 (* end of lemma zenon_L433_ *)
% 21.54/21.74 assert (zenon_L434_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_Hc2 zenon_H162 zenon_H120 zenon_H181 zenon_H1bb.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.54/21.74 apply (zenon_L433_); trivial.
% 21.54/21.74 apply (zenon_L433_); trivial.
% 21.54/21.74 (* end of lemma zenon_L434_ *)
% 21.54/21.74 assert (zenon_L435_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H63 zenon_H55 zenon_H6d.
% 21.54/21.74 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 21.54/21.74 apply (zenon_L34_); trivial.
% 21.54/21.74 (* end of lemma zenon_L435_ *)
% 21.54/21.74 assert (zenon_L436_ : ((op (e1) (e2)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H72 zenon_H133 zenon_Ha9.
% 21.54/21.74 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.54/21.74 cut (((e3) = (e3)) = ((e2) = (e3))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_Ha9.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_Ha1.
% 21.54/21.74 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.54/21.74 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 21.54/21.74 congruence.
% 21.54/21.74 cut (((op (e1) (e2)) = (e2)) = ((e3) = (e2))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_Haa.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H72.
% 21.54/21.74 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.54/21.74 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 21.54/21.74 congruence.
% 21.54/21.74 exact (zenon_H17b zenon_H133).
% 21.54/21.74 apply zenon_H6a. apply refl_equal.
% 21.54/21.74 apply zenon_Ha2. apply refl_equal.
% 21.54/21.74 apply zenon_Ha2. apply refl_equal.
% 21.54/21.74 (* end of lemma zenon_L436_ *)
% 21.54/21.74 assert (zenon_L437_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e3))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H13b zenon_He3 zenon_He4 zenon_H48 zenon_H40 zenon_H13c zenon_Hb6 zenon_H3c zenon_H129 zenon_H11a zenon_H183 zenon_H77 zenon_H163 zenon_Hf6 zenon_H1b4 zenon_H121 zenon_H111 zenon_H6d zenon_H2d zenon_H117 zenon_H73 zenon_H105 zenon_H177 zenon_H20b zenon_H1ef zenon_H68 zenon_H2a zenon_H1d8 zenon_H140 zenon_Ha9 zenon_H72 zenon_Ha0.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.74 apply (zenon_L25_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.74 exact (zenon_He3 zenon_He7).
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.74 apply (zenon_L62_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.54/21.74 apply (zenon_L65_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.54/21.74 exact (zenon_H40 zenon_H3f).
% 21.54/21.74 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.54/21.74 apply (zenon_L56_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.74 apply (zenon_L46_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.74 apply (zenon_L410_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.74 apply (zenon_L436_); trivial.
% 21.54/21.74 apply (zenon_L90_); trivial.
% 21.54/21.74 (* end of lemma zenon_L437_ *)
% 21.54/21.74 assert (zenon_L438_ : (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H186 zenon_H72 zenon_Hf7.
% 21.54/21.74 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e1) (e3)))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_H186.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H72.
% 21.54/21.74 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 21.54/21.74 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.54/21.74 congruence.
% 21.54/21.74 apply zenon_H50. apply refl_equal.
% 21.54/21.74 apply zenon_Hf8. apply sym_equal. exact zenon_Hf7.
% 21.54/21.74 (* end of lemma zenon_L438_ *)
% 21.54/21.74 assert (zenon_L439_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H93 zenon_H6d zenon_H189.
% 21.54/21.74 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 21.54/21.74 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e1)) = (op (e2) (e3)))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_H189.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H95.
% 21.54/21.74 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 21.54/21.74 cut (((op (e2) (e3)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H216].
% 21.54/21.74 congruence.
% 21.54/21.74 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e1)))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_H216.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H93.
% 21.54/21.74 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 21.54/21.74 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 21.54/21.74 congruence.
% 21.54/21.74 apply zenon_H96. apply refl_equal.
% 21.54/21.74 apply zenon_H85. apply sym_equal. exact zenon_H6d.
% 21.54/21.74 apply zenon_H96. apply refl_equal.
% 21.54/21.74 apply zenon_H96. apply refl_equal.
% 21.54/21.74 (* end of lemma zenon_L439_ *)
% 21.54/21.74 assert (zenon_L440_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H1a8 zenon_H68 zenon_H2a zenon_H156 zenon_H72 zenon_H189 zenon_H93 zenon_H7f zenon_H77.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.54/21.74 apply (zenon_L147_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.54/21.74 apply (zenon_L100_); trivial.
% 21.54/21.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.54/21.74 apply (zenon_L439_); trivial.
% 21.54/21.74 apply (zenon_L169_); trivial.
% 21.54/21.74 (* end of lemma zenon_L440_ *)
% 21.54/21.74 assert (zenon_L441_ : (~((op (op (e0) (e0)) (op (e0) (e0))) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H217 zenon_H9f.
% 21.54/21.74 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 21.54/21.74 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 21.54/21.74 congruence.
% 21.54/21.74 exact (zenon_Ha4 zenon_H9f).
% 21.54/21.74 exact (zenon_Ha4 zenon_H9f).
% 21.54/21.74 (* end of lemma zenon_L441_ *)
% 21.54/21.74 assert (zenon_L442_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H218 zenon_H9f.
% 21.54/21.74 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 21.54/21.74 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.54/21.74 congruence.
% 21.54/21.74 apply zenon_H46. apply refl_equal.
% 21.54/21.74 exact (zenon_Ha4 zenon_H9f).
% 21.54/21.74 (* end of lemma zenon_L442_ *)
% 21.54/21.74 assert (zenon_L443_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (op (e0) (op (e0) (e0))))) -> False).
% 21.54/21.74 do 0 intro. intros zenon_H155 zenon_H9f zenon_H219.
% 21.54/21.74 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H21a | zenon_intro zenon_H21b ].
% 21.54/21.74 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e1) = (op (e0) (op (e0) (e0))))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_H219.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H21a.
% 21.54/21.74 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H21b].
% 21.54/21.74 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H21c].
% 21.54/21.74 congruence.
% 21.54/21.74 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_H21c.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H155.
% 21.54/21.74 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.54/21.74 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 21.54/21.74 congruence.
% 21.54/21.74 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H21a | zenon_intro zenon_H21b ].
% 21.54/21.74 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))).
% 21.54/21.74 intro zenon_D_pnotp.
% 21.54/21.74 apply zenon_H21d.
% 21.54/21.74 rewrite <- zenon_D_pnotp.
% 21.54/21.74 exact zenon_H21a.
% 21.54/21.74 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H21b].
% 21.54/21.74 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H218].
% 21.54/21.75 congruence.
% 21.54/21.75 apply (zenon_L442_); trivial.
% 21.54/21.75 apply zenon_H21b. apply refl_equal.
% 21.54/21.75 apply zenon_H21b. apply refl_equal.
% 21.54/21.75 apply zenon_H4a. apply refl_equal.
% 21.54/21.75 apply zenon_H21b. apply refl_equal.
% 21.54/21.75 apply zenon_H21b. apply refl_equal.
% 21.54/21.75 (* end of lemma zenon_L443_ *)
% 21.54/21.75 assert (zenon_L444_ : ((op (e3) (e3)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H17c zenon_H155 zenon_H9f.
% 21.54/21.75 apply (zenon_notand_s _ _ ax22); [ zenon_intro zenon_H21f | zenon_intro zenon_H21e ].
% 21.54/21.75 elim (classic ((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H220 | zenon_intro zenon_H221 ].
% 21.54/21.75 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0)))) = ((e2) = (op (op (e0) (e0)) (op (e0) (e0))))).
% 21.54/21.75 intro zenon_D_pnotp.
% 21.54/21.75 apply zenon_H21f.
% 21.54/21.75 rewrite <- zenon_D_pnotp.
% 21.54/21.75 exact zenon_H220.
% 21.54/21.75 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H221].
% 21.54/21.75 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H222].
% 21.54/21.75 congruence.
% 21.54/21.75 cut (((op (e3) (e3)) = (e2)) = ((op (op (e0) (e0)) (op (e0) (e0))) = (e2))).
% 21.54/21.75 intro zenon_D_pnotp.
% 21.54/21.75 apply zenon_H222.
% 21.54/21.75 rewrite <- zenon_D_pnotp.
% 21.54/21.75 exact zenon_H17c.
% 21.54/21.75 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.54/21.75 cut (((op (e3) (e3)) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H223].
% 21.54/21.75 congruence.
% 21.54/21.75 elim (classic ((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H220 | zenon_intro zenon_H221 ].
% 21.54/21.75 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0)))) = ((op (e3) (e3)) = (op (op (e0) (e0)) (op (e0) (e0))))).
% 21.54/21.75 intro zenon_D_pnotp.
% 21.54/21.75 apply zenon_H223.
% 21.54/21.75 rewrite <- zenon_D_pnotp.
% 21.54/21.75 exact zenon_H220.
% 21.54/21.75 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H221].
% 21.54/21.75 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 21.54/21.75 congruence.
% 21.54/21.75 apply (zenon_L441_); trivial.
% 21.54/21.75 apply zenon_H221. apply refl_equal.
% 21.54/21.75 apply zenon_H221. apply refl_equal.
% 21.54/21.75 apply zenon_H6a. apply refl_equal.
% 21.54/21.75 apply zenon_H221. apply refl_equal.
% 21.54/21.75 apply zenon_H221. apply refl_equal.
% 21.54/21.75 apply (zenon_notand_s _ _ zenon_H21e); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H219 ].
% 21.54/21.75 apply zenon_H1d3. apply sym_equal. exact zenon_H9f.
% 21.54/21.75 apply (zenon_L443_); trivial.
% 21.54/21.75 (* end of lemma zenon_L444_ *)
% 21.54/21.75 assert (zenon_L445_ : ((op (e0) (e2)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> (~((e3) = (op (e0) (op (e0) (e0))))) -> False).
% 21.54/21.75 do 0 intro. intros zenon_Hfe zenon_H67 zenon_H224.
% 21.54/21.75 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H21a | zenon_intro zenon_H21b ].
% 21.54/21.75 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e3) = (op (e0) (op (e0) (e0))))).
% 21.54/21.75 intro zenon_D_pnotp.
% 21.54/21.75 apply zenon_H224.
% 21.54/21.75 rewrite <- zenon_D_pnotp.
% 21.54/21.75 exact zenon_H21a.
% 21.54/21.75 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H21b].
% 21.54/21.75 cut (((op (e0) (op (e0) (e0))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H225].
% 21.54/21.75 congruence.
% 21.54/21.75 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (op (e0) (e0))) = (e3))).
% 21.54/21.75 intro zenon_D_pnotp.
% 21.54/21.75 apply zenon_H225.
% 21.54/21.75 rewrite <- zenon_D_pnotp.
% 21.54/21.75 exact zenon_Hfe.
% 21.54/21.75 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.54/21.75 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H226].
% 21.54/21.75 congruence.
% 21.54/21.75 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H21a | zenon_intro zenon_H21b ].
% 21.54/21.75 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))).
% 21.54/21.75 intro zenon_D_pnotp.
% 21.54/21.75 apply zenon_H226.
% 21.54/21.75 rewrite <- zenon_D_pnotp.
% 21.54/21.75 exact zenon_H21a.
% 21.54/21.75 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H21b].
% 21.54/21.75 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H227].
% 21.54/21.75 congruence.
% 21.54/21.75 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 21.54/21.75 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.54/21.75 congruence.
% 21.54/21.75 apply zenon_H46. apply refl_equal.
% 21.54/21.75 exact (zenon_H6c zenon_H67).
% 21.54/21.75 apply zenon_H21b. apply refl_equal.
% 21.54/21.75 apply zenon_H21b. apply refl_equal.
% 21.54/21.75 apply zenon_Ha2. apply refl_equal.
% 21.54/21.75 apply zenon_H21b. apply refl_equal.
% 21.54/21.75 apply zenon_H21b. apply refl_equal.
% 21.54/21.75 (* end of lemma zenon_L445_ *)
% 21.54/21.75 assert (zenon_L446_ : ((op (e2) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H105 zenon_Hfe zenon_H67.
% 21.54/21.75 apply (zenon_notand_s _ _ ax14); [ zenon_intro zenon_H229 | zenon_intro zenon_H228 ].
% 21.54/21.75 elim (classic ((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H220 | zenon_intro zenon_H221 ].
% 21.54/21.75 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0)))) = ((e1) = (op (op (e0) (e0)) (op (e0) (e0))))).
% 21.54/21.75 intro zenon_D_pnotp.
% 21.54/21.75 apply zenon_H229.
% 21.54/21.75 rewrite <- zenon_D_pnotp.
% 21.54/21.75 exact zenon_H220.
% 21.54/21.75 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H221].
% 21.54/21.75 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22a].
% 21.54/21.75 congruence.
% 21.54/21.75 cut (((op (e2) (e2)) = (e1)) = ((op (op (e0) (e0)) (op (e0) (e0))) = (e1))).
% 21.54/21.75 intro zenon_D_pnotp.
% 21.54/21.75 apply zenon_H22a.
% 21.54/21.75 rewrite <- zenon_D_pnotp.
% 21.54/21.75 exact zenon_H105.
% 21.54/21.75 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.54/21.75 cut (((op (e2) (e2)) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H22b].
% 21.54/21.75 congruence.
% 21.54/21.75 elim (classic ((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H220 | zenon_intro zenon_H221 ].
% 21.54/21.75 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0)))) = ((op (e2) (e2)) = (op (op (e0) (e0)) (op (e0) (e0))))).
% 21.54/21.75 intro zenon_D_pnotp.
% 21.54/21.75 apply zenon_H22b.
% 21.54/21.75 rewrite <- zenon_D_pnotp.
% 21.54/21.75 exact zenon_H220.
% 21.54/21.75 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H221].
% 21.54/21.75 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H22c].
% 21.54/21.75 congruence.
% 21.54/21.75 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 21.54/21.75 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 21.54/21.75 congruence.
% 21.54/21.75 exact (zenon_H6c zenon_H67).
% 21.54/21.75 exact (zenon_H6c zenon_H67).
% 21.54/21.75 apply zenon_H221. apply refl_equal.
% 21.54/21.75 apply zenon_H221. apply refl_equal.
% 21.54/21.75 apply zenon_H4a. apply refl_equal.
% 21.54/21.75 apply zenon_H221. apply refl_equal.
% 21.54/21.75 apply zenon_H221. apply refl_equal.
% 21.54/21.75 apply (zenon_notand_s _ _ zenon_H228); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H224 ].
% 21.54/21.75 apply zenon_H1b0. apply sym_equal. exact zenon_H67.
% 21.54/21.75 apply (zenon_L445_); trivial.
% 21.54/21.75 (* end of lemma zenon_L446_ *)
% 21.54/21.75 assert (zenon_L447_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e3))) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H139 zenon_H155 zenon_H190 zenon_H1c3 zenon_H186 zenon_H189 zenon_H156 zenon_H1a8 zenon_H13a zenon_H6f zenon_H13b zenon_He3 zenon_He4 zenon_H48 zenon_H40 zenon_H13c zenon_Hb6 zenon_H3c zenon_H129 zenon_H11a zenon_H183 zenon_H77 zenon_H163 zenon_H1b4 zenon_H121 zenon_H111 zenon_H6d zenon_H2d zenon_H117 zenon_H73 zenon_H105 zenon_H177 zenon_H20b zenon_H1ef zenon_H68 zenon_H2a zenon_H1d8 zenon_H140 zenon_Ha9 zenon_H72 zenon_Ha0.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.75 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.54/21.75 apply (zenon_L65_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.54/21.75 exact (zenon_H40 zenon_H3f).
% 21.54/21.75 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.54/21.75 apply (zenon_L143_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.54/21.75 apply (zenon_L437_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.54/21.75 apply (zenon_L438_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.54/21.75 apply (zenon_L440_); trivial.
% 21.54/21.75 apply (zenon_L444_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.75 apply (zenon_L53_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.75 apply (zenon_L446_); trivial.
% 21.54/21.75 apply (zenon_L115_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.75 apply (zenon_L21_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.75 apply (zenon_L22_); trivial.
% 21.54/21.75 apply (zenon_L437_); trivial.
% 21.54/21.75 (* end of lemma zenon_L447_ *)
% 21.54/21.75 assert (zenon_L448_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.54/21.75 do 0 intro. intros zenon_He4 zenon_H48 zenon_H2a zenon_H40 zenon_H6d zenon_H77 zenon_H7d zenon_H7e.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.54/21.75 apply (zenon_L65_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.54/21.75 exact (zenon_H40 zenon_H3f).
% 21.54/21.75 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.54/21.75 apply (zenon_L56_); trivial.
% 21.54/21.75 apply (zenon_L31_); trivial.
% 21.54/21.75 (* end of lemma zenon_L448_ *)
% 21.54/21.75 assert (zenon_L449_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H7f zenon_H72 zenon_H163 zenon_H155 zenon_H9f.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.54/21.75 apply (zenon_L291_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.54/21.75 apply (zenon_L169_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.54/21.75 apply (zenon_L227_); trivial.
% 21.54/21.75 apply (zenon_L444_); trivial.
% 21.54/21.75 (* end of lemma zenon_L449_ *)
% 21.54/21.75 assert (zenon_L450_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False).
% 21.54/21.75 do 0 intro. intros zenon_He4 zenon_H48 zenon_H2a zenon_H40 zenon_H105 zenon_H190 zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H72 zenon_H163 zenon_H155 zenon_H9f.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.54/21.75 apply (zenon_L65_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.54/21.75 exact (zenon_H40 zenon_H3f).
% 21.54/21.75 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.54/21.75 apply (zenon_L143_); trivial.
% 21.54/21.75 apply (zenon_L449_); trivial.
% 21.54/21.75 (* end of lemma zenon_L450_ *)
% 21.54/21.75 assert (zenon_L451_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H1fe zenon_H19d zenon_H1d4 zenon_H7d zenon_H1c3 zenon_H186 zenon_H189 zenon_H156 zenon_H1a8 zenon_H13b zenon_He3 zenon_H13c zenon_H129 zenon_H11a zenon_H121 zenon_H117 zenon_H177 zenon_H20b zenon_H1ef zenon_H1d8 zenon_H140 zenon_Ha9 zenon_H125 zenon_H4e zenon_Hb2 zenon_Hec zenon_Heb zenon_H82 zenon_H15d zenon_H111 zenon_H139 zenon_Hb6 zenon_H105 zenon_Ha0 zenon_H190 zenon_H13a zenon_H6f zenon_H73 zenon_He4 zenon_H48 zenon_H2a zenon_H40 zenon_H6d zenon_H183 zenon_H68 zenon_H77 zenon_H72 zenon_H163 zenon_H1b4.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.75 apply (zenon_L161_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.75 apply (zenon_L250_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.75 apply (zenon_L346_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.75 apply (zenon_L65_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.75 apply (zenon_L148_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.75 apply (zenon_L346_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.75 apply (zenon_L447_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.75 apply (zenon_L217_); trivial.
% 21.54/21.75 apply (zenon_L448_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.75 apply (zenon_L350_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.75 apply (zenon_L65_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.75 apply (zenon_L148_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.75 apply (zenon_L450_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.75 apply (zenon_L53_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.75 apply (zenon_L446_); trivial.
% 21.54/21.75 apply (zenon_L115_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.75 apply (zenon_L21_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.75 apply (zenon_L22_); trivial.
% 21.54/21.75 apply (zenon_L349_); trivial.
% 21.54/21.75 (* end of lemma zenon_L451_ *)
% 21.54/21.75 assert (zenon_L452_ : (((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)) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H140 zenon_H1d8 zenon_H2a zenon_H68 zenon_H1ef zenon_H117 zenon_H2d zenon_H6d zenon_H111 zenon_Hfe zenon_H121 zenon_H1b4 zenon_Hf6 zenon_H163 zenon_H72 zenon_H7f zenon_H77 zenon_Ha9 zenon_H183 zenon_H11a zenon_H10c zenon_Ha0 zenon_H129.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.75 apply (zenon_L254_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.75 apply (zenon_L62_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.75 apply (zenon_L405_); trivial.
% 21.54/21.75 apply (zenon_L409_); trivial.
% 21.54/21.75 (* end of lemma zenon_L452_ *)
% 21.54/21.75 assert (zenon_L453_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H13b zenon_Hf5 zenon_H1b3 zenon_Hfa zenon_He3 zenon_He4 zenon_H48 zenon_H105 zenon_H190 zenon_H13c zenon_Hec zenon_H40 zenon_Hb6 zenon_Heb zenon_H129 zenon_H11a zenon_H183 zenon_Ha9 zenon_H77 zenon_H72 zenon_H163 zenon_Hf6 zenon_H1b4 zenon_H121 zenon_H111 zenon_H6d zenon_H2d zenon_H117 zenon_H1ef zenon_H68 zenon_H2a zenon_H1d8 zenon_H140 zenon_Hfe zenon_H73 zenon_Ha0.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.75 apply (zenon_L303_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.75 exact (zenon_He3 zenon_He7).
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.75 apply (zenon_L62_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.54/21.75 apply (zenon_L65_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.54/21.75 exact (zenon_H40 zenon_H3f).
% 21.54/21.75 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.54/21.75 apply (zenon_L143_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.75 apply (zenon_L66_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.75 apply (zenon_L452_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.75 apply (zenon_L89_); trivial.
% 21.54/21.75 apply (zenon_L90_); trivial.
% 21.54/21.75 (* end of lemma zenon_L453_ *)
% 21.54/21.75 assert (zenon_L454_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((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)) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((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 (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H139 zenon_H13a zenon_H47 zenon_Ha0 zenon_H73 zenon_H140 zenon_H1d8 zenon_H2a zenon_H68 zenon_H1ef zenon_H117 zenon_H2d zenon_H6d zenon_H111 zenon_H121 zenon_H1b4 zenon_H163 zenon_H72 zenon_H77 zenon_H183 zenon_H11a zenon_H129 zenon_Heb zenon_Hb6 zenon_H40 zenon_Hec zenon_H13c zenon_H190 zenon_H105 zenon_H48 zenon_He4 zenon_He3 zenon_Hfa zenon_H1b3 zenon_Hf5 zenon_H13b zenon_Ha9.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.75 apply (zenon_L251_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.75 apply (zenon_L147_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.75 apply (zenon_L22_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.75 apply (zenon_L253_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.75 apply (zenon_L53_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.75 apply (zenon_L453_); trivial.
% 21.54/21.75 apply (zenon_L92_); trivial.
% 21.54/21.75 (* end of lemma zenon_L454_ *)
% 21.54/21.75 assert (zenon_L455_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H117 zenon_H109 zenon_H9d zenon_Ha9 zenon_H6d zenon_H111 zenon_Hfe zenon_H22d zenon_H14c zenon_H1ef zenon_H3c zenon_H100 zenon_H77 zenon_H7f zenon_H55 zenon_H1b3 zenon_H2a zenon_H68 zenon_H1a8 zenon_H94.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.75 apply (zenon_L73_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.75 apply (zenon_L289_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.75 apply (zenon_L75_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H2d | zenon_intro zenon_H22e ].
% 21.54/21.75 apply (zenon_L405_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H54 | zenon_intro zenon_H22f ].
% 21.54/21.75 apply (zenon_L69_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha8 ].
% 21.54/21.75 apply (zenon_L288_); trivial.
% 21.54/21.75 apply (zenon_L47_); trivial.
% 21.54/21.75 (* end of lemma zenon_L455_ *)
% 21.54/21.75 assert (zenon_L456_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H34 zenon_H7e zenon_H48.
% 21.54/21.75 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H49 | zenon_intro zenon_H4a ].
% 21.54/21.75 cut (((e1) = (e1)) = ((e0) = (e1))).
% 21.54/21.75 intro zenon_D_pnotp.
% 21.54/21.75 apply zenon_H48.
% 21.54/21.75 rewrite <- zenon_D_pnotp.
% 21.54/21.75 exact zenon_H49.
% 21.54/21.75 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.54/21.75 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 21.54/21.75 congruence.
% 21.54/21.75 cut (((op (e3) (e0)) = (e0)) = ((e1) = (e0))).
% 21.54/21.75 intro zenon_D_pnotp.
% 21.54/21.75 apply zenon_H4b.
% 21.54/21.75 rewrite <- zenon_D_pnotp.
% 21.54/21.75 exact zenon_H34.
% 21.54/21.75 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.54/21.75 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 21.54/21.75 congruence.
% 21.54/21.75 exact (zenon_H182 zenon_H7e).
% 21.54/21.75 apply zenon_H46. apply refl_equal.
% 21.54/21.75 apply zenon_H4a. apply refl_equal.
% 21.54/21.75 apply zenon_H4a. apply refl_equal.
% 21.54/21.75 (* end of lemma zenon_L456_ *)
% 21.54/21.75 assert (zenon_L457_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H1fe zenon_H19d zenon_H7d zenon_H1c3 zenon_H186 zenon_H189 zenon_H156 zenon_H6f zenon_H129 zenon_H20b zenon_H1d8 zenon_Hfa zenon_Hf5 zenon_H15d zenon_H82 zenon_H1b4 zenon_H139 zenon_Hb6 zenon_H13b zenon_He3 zenon_He4 zenon_H13c zenon_Hbc zenon_H183 zenon_H163 zenon_H121 zenon_H94 zenon_H1a8 zenon_H68 zenon_H2a zenon_H1b3 zenon_H55 zenon_H1ef zenon_H22d zenon_H111 zenon_H6d zenon_H109 zenon_H117 zenon_H11a zenon_H177 zenon_Ha9 zenon_H140 zenon_H73 zenon_Ha0 zenon_H105 zenon_H190 zenon_H13a zenon_Hec zenon_H72 zenon_H77 zenon_H40 zenon_H100 zenon_Heb zenon_H48.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.75 apply (zenon_L161_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.75 apply (zenon_L60_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.75 apply (zenon_L454_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.75 apply (zenon_L65_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.75 apply (zenon_L148_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.75 apply (zenon_L454_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.75 apply (zenon_L447_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.75 apply (zenon_L70_); trivial.
% 21.54/21.75 apply (zenon_L448_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.75 apply (zenon_L350_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.75 apply (zenon_L65_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.75 apply (zenon_L148_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.75 apply (zenon_L350_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.75 apply (zenon_L450_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.75 apply (zenon_L53_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.75 apply (zenon_L25_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.75 exact (zenon_He3 zenon_He7).
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.75 apply (zenon_L62_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.54/21.75 apply (zenon_L65_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.54/21.75 exact (zenon_H40 zenon_H3f).
% 21.54/21.75 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.54/21.75 apply (zenon_L56_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.75 apply (zenon_L46_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.75 apply (zenon_L68_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.75 apply (zenon_L62_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.54/21.75 apply (zenon_L291_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.54/21.75 apply (zenon_L169_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.54/21.75 apply (zenon_L227_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.54/21.75 apply (zenon_L455_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.54/21.75 apply (zenon_L79_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.54/21.75 apply (zenon_L178_); trivial.
% 21.54/21.75 apply (zenon_L133_); trivial.
% 21.54/21.75 apply (zenon_L328_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.75 apply (zenon_L89_); trivial.
% 21.54/21.75 apply (zenon_L90_); trivial.
% 21.54/21.75 apply (zenon_L115_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.75 apply (zenon_L70_); trivial.
% 21.54/21.75 apply (zenon_L456_); trivial.
% 21.54/21.75 (* end of lemma zenon_L457_ *)
% 21.54/21.75 assert (zenon_L458_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H99 zenon_H6d zenon_H189.
% 21.54/21.75 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.54/21.75 apply (zenon_L439_); trivial.
% 21.54/21.75 (* end of lemma zenon_L458_ *)
% 21.54/21.75 assert (zenon_L459_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e3)) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H15d zenon_H4c zenon_H48 zenon_H2a zenon_H105 zenon_H111 zenon_Hb6 zenon_H9e.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.75 exact (zenon_H4c zenon_H47).
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.75 apply (zenon_L65_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.75 apply (zenon_L148_); trivial.
% 21.54/21.75 apply (zenon_L115_); trivial.
% 21.54/21.75 (* end of lemma zenon_L459_ *)
% 21.54/21.75 assert (zenon_L460_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H9b zenon_H48 zenon_H111 zenon_H105 zenon_Hb6 zenon_H15d zenon_H2a.
% 21.54/21.75 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 21.54/21.75 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 21.54/21.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.54/21.75 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 21.54/21.75 exact (zenon_H205 zenon_H2a).
% 21.54/21.75 apply (zenon_L459_); trivial.
% 21.54/21.75 (* end of lemma zenon_L460_ *)
% 21.54/21.75 assert (zenon_L461_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.54/21.75 do 0 intro. intros zenon_Heb zenon_H7a zenon_H40 zenon_H1d4 zenon_H155 zenon_Hf5.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.75 exact (zenon_H7a zenon_H3c).
% 21.54/21.75 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.75 exact (zenon_H40 zenon_H3f).
% 21.54/21.75 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.75 exact (zenon_H1d4 zenon_H4d).
% 21.54/21.75 apply (zenon_L192_); trivial.
% 21.54/21.75 (* end of lemma zenon_L461_ *)
% 21.54/21.75 assert (zenon_L462_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> False).
% 21.54/21.75 do 0 intro. intros zenon_Heb zenon_H7a zenon_H40 zenon_Hf3 zenon_H48 zenon_Hec.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.54/21.75 exact (zenon_H7a zenon_H3c).
% 21.54/21.75 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.54/21.75 exact (zenon_H40 zenon_H3f).
% 21.54/21.75 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.54/21.75 apply (zenon_L117_); trivial.
% 21.54/21.75 exact (zenon_Hec zenon_H5c).
% 21.54/21.75 (* end of lemma zenon_L462_ *)
% 21.54/21.75 assert (zenon_L463_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H13b zenon_H34 zenon_H179 zenon_H2a zenon_H173 zenon_Hec zenon_H48 zenon_H40 zenon_H7a zenon_Heb zenon_Ha0 zenon_Ha5.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.75 apply (zenon_L297_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.75 apply (zenon_L272_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.75 apply (zenon_L462_); trivial.
% 21.54/21.75 apply (zenon_L90_); trivial.
% 21.54/21.75 (* end of lemma zenon_L463_ *)
% 21.54/21.75 assert (zenon_L464_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H15c zenon_Hf0 zenon_H6d zenon_H158 zenon_H15d zenon_H7a zenon_H40 zenon_H1d4 zenon_Hf5 zenon_Heb zenon_H105 zenon_H111 zenon_H2a zenon_H48 zenon_Hb6 zenon_H5d zenon_Ha5 zenon_Ha0 zenon_H7d zenon_Hac zenon_Hb2 zenon_H13b zenon_H173 zenon_H179 zenon_H1fe.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.75 apply (zenon_L13_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.75 apply (zenon_L65_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.75 apply (zenon_L148_); trivial.
% 21.54/21.75 apply (zenon_L461_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.75 apply (zenon_L250_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.75 apply (zenon_L355_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.75 apply (zenon_L65_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.75 apply (zenon_L148_); trivial.
% 21.54/21.75 apply (zenon_L461_); trivial.
% 21.54/21.75 apply (zenon_L463_); trivial.
% 21.54/21.75 apply (zenon_L389_); trivial.
% 21.54/21.75 (* end of lemma zenon_L464_ *)
% 21.54/21.75 assert (zenon_L465_ : ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H44 zenon_H15c zenon_Hf0 zenon_H6d zenon_H158 zenon_H15d zenon_H40 zenon_Hf5 zenon_Heb zenon_H105 zenon_H111 zenon_H2a zenon_H48 zenon_Hb6 zenon_H5d zenon_Ha5 zenon_Ha0 zenon_H7d zenon_Hac zenon_Hb2 zenon_H13b zenon_H173 zenon_H179 zenon_H1fe zenon_H11a zenon_H169.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 21.54/21.75 apply (zenon_L464_); trivial.
% 21.54/21.75 apply (zenon_L372_); trivial.
% 21.54/21.75 apply (zenon_L385_); trivial.
% 21.54/21.75 (* end of lemma zenon_L465_ *)
% 21.54/21.75 assert (zenon_L466_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H91 zenon_H105 zenon_H6d.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 21.54/21.75 exact (zenon_H1ba zenon_H6d).
% 21.54/21.75 exact (zenon_H1bf zenon_H105).
% 21.54/21.75 (* end of lemma zenon_L466_ *)
% 21.54/21.75 assert (zenon_L467_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> False).
% 21.54/21.75 do 0 intro. intros zenon_Hc0 zenon_H105 zenon_H6d.
% 21.54/21.75 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 21.54/21.75 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 21.54/21.75 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.54/21.75 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.54/21.75 apply (zenon_L466_); trivial.
% 21.54/21.75 (* end of lemma zenon_L467_ *)
% 21.54/21.75 assert (zenon_L468_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (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 (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> False).
% 21.54/21.75 do 0 intro. intros zenon_H230 zenon_Heb zenon_H105 zenon_H131 zenon_H40 zenon_H48 zenon_H158 zenon_H6d zenon_Hf0 zenon_H2a zenon_H173 zenon_H1d8 zenon_H1fb zenon_H77 zenon_H1fe zenon_H104 zenon_H179 zenon_H140 zenon_H183 zenon_H1b4 zenon_H163 zenon_H129 zenon_H20b zenon_H190 zenon_H19a zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H1bb zenon_H20f zenon_H1c3 zenon_H1cf zenon_H19d zenon_H15d zenon_Hf5 zenon_H111 zenon_H192 zenon_H6f zenon_H13a zenon_H13b zenon_H1a2 zenon_H1ef zenon_H68 zenon_H73 zenon_Hfa zenon_H196 zenon_H117 zenon_H121 zenon_H177 zenon_H11a zenon_Ha9 zenon_H1c6 zenon_Ha0 zenon_Hb6 zenon_H139 zenon_H125 zenon_H164 zenon_H55 zenon_H1cb zenon_He4 zenon_H156 zenon_H94 zenon_H22d zenon_H109 zenon_H100 zenon_Hb2 zenon_H4e zenon_H82 zenon_H189 zenon_H1a8 zenon_H186 zenon_H13c zenon_H5d zenon_Hcc.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H120 | zenon_intro zenon_Hac ].
% 21.54/21.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.54/21.75 apply (zenon_L2_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.54/21.75 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 21.54/21.75 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 21.54/21.75 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.54/21.75 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.54/21.75 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 21.54/21.75 apply (zenon_L392_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.54/21.75 apply (zenon_L315_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.54/21.75 apply (zenon_L317_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.54/21.75 apply (zenon_L318_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.54/21.75 apply (zenon_L11_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.54/21.75 apply (zenon_L319_); trivial.
% 21.54/21.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.54/21.76 apply (zenon_L402_); trivial.
% 21.54/21.76 apply (zenon_L402_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.54/21.76 apply (zenon_L424_); trivial.
% 21.54/21.76 apply (zenon_L424_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.54/21.76 apply (zenon_L432_); trivial.
% 21.54/21.76 apply (zenon_L432_); trivial.
% 21.54/21.76 apply (zenon_L434_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.54/21.76 apply (zenon_L435_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 21.54/21.76 apply (zenon_L345_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.54/21.76 apply (zenon_L451_); trivial.
% 21.54/21.76 apply (zenon_L389_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.54/21.76 apply (zenon_L457_); trivial.
% 21.54/21.76 apply (zenon_L304_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.54/21.76 apply (zenon_L37_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.54/21.76 apply (zenon_L458_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.54/21.76 apply (zenon_L460_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.54/21.76 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 21.54/21.76 apply (zenon_L465_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.54/21.76 apply (zenon_L467_); trivial.
% 21.54/21.76 apply (zenon_L51_); trivial.
% 21.54/21.76 apply (zenon_L394_); trivial.
% 21.54/21.76 (* end of lemma zenon_L468_ *)
% 21.54/21.76 assert (zenon_L469_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((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) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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 (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (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 (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H201 zenon_H66 zenon_Hf3 zenon_Hcc zenon_H5d zenon_H13c zenon_H186 zenon_H1a8 zenon_H189 zenon_H82 zenon_H4e zenon_Hb2 zenon_H100 zenon_H109 zenon_H22d zenon_H94 zenon_H156 zenon_He4 zenon_H1cb zenon_H55 zenon_H164 zenon_H125 zenon_H139 zenon_Hb6 zenon_Ha0 zenon_H1c6 zenon_Ha9 zenon_H11a zenon_H177 zenon_H121 zenon_H117 zenon_H196 zenon_Hfa zenon_H73 zenon_H68 zenon_H1ef zenon_H1a2 zenon_H13b zenon_H13a zenon_H6f zenon_H192 zenon_H111 zenon_Hf5 zenon_H15d zenon_H19d zenon_H1cf zenon_H1c3 zenon_H20f zenon_H1bb zenon_H212 zenon_Hbc zenon_H7d zenon_H18a zenon_H19a zenon_H190 zenon_H20b zenon_H129 zenon_H163 zenon_H1b4 zenon_H183 zenon_H140 zenon_H179 zenon_H104 zenon_H1fe zenon_H77 zenon_H1fb zenon_H1d8 zenon_H173 zenon_H2a zenon_Hf0 zenon_H6d zenon_H158 zenon_H48 zenon_H40 zenon_H131 zenon_Heb zenon_H230 zenon_H1cd zenon_H7f.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.76 apply (zenon_L94_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.76 apply (zenon_L117_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.76 apply (zenon_L468_); trivial.
% 21.54/21.76 apply (zenon_L331_); trivial.
% 21.54/21.76 (* end of lemma zenon_L469_ *)
% 21.54/21.76 assert (zenon_L470_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((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)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (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 (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H13b zenon_H77 zenon_H73 zenon_H68 zenon_Hfa zenon_H1a2 zenon_H1ef zenon_H1a3 zenon_H48 zenon_H5c zenon_H7f zenon_H1cd zenon_H230 zenon_Heb zenon_H131 zenon_H1d8 zenon_H1fb zenon_H1fe zenon_H104 zenon_H179 zenon_H140 zenon_H183 zenon_H1b4 zenon_H163 zenon_H129 zenon_H20b zenon_H190 zenon_H19a zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H1bb zenon_H20f zenon_H1c3 zenon_H1cf zenon_H19d zenon_H15d zenon_Hf5 zenon_H111 zenon_H192 zenon_H6f zenon_H196 zenon_H117 zenon_H139 zenon_H125 zenon_H164 zenon_H55 zenon_H1cb zenon_He4 zenon_H156 zenon_H94 zenon_H22d zenon_H109 zenon_H100 zenon_Hb2 zenon_H4e zenon_H82 zenon_H189 zenon_H1a8 zenon_H186 zenon_H13c zenon_H5d zenon_Hcc zenon_H201 zenon_H13a zenon_Hb6 zenon_H47 zenon_H11a zenon_H6d zenon_Hf0 zenon_H40 zenon_H173 zenon_H2a zenon_H158 zenon_H121 zenon_H209 zenon_H177 zenon_Hc4 zenon_Ha0 zenon_H1c6 zenon_Ha9.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.76 apply (zenon_L251_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.76 apply (zenon_L147_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.76 apply (zenon_L253_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.76 apply (zenon_L116_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.76 apply (zenon_L272_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.76 apply (zenon_L469_); trivial.
% 21.54/21.76 apply (zenon_L157_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.76 apply (zenon_L399_); trivial.
% 21.54/21.76 exact (zenon_H209 zenon_H9d).
% 21.54/21.76 apply (zenon_L401_); trivial.
% 21.54/21.76 (* end of lemma zenon_L470_ *)
% 21.54/21.76 assert (zenon_L471_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((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) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (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) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H1c6 zenon_H177 zenon_H121 zenon_H158 zenon_H40 zenon_Hf0 zenon_H6d zenon_H11a zenon_H201 zenon_Hcc zenon_H5d zenon_H13c zenon_H186 zenon_H1a8 zenon_H189 zenon_H82 zenon_H4e zenon_Hb2 zenon_H100 zenon_H109 zenon_H22d zenon_H94 zenon_H156 zenon_He4 zenon_H1cb zenon_H55 zenon_H164 zenon_H125 zenon_H117 zenon_H196 zenon_Hfa zenon_H73 zenon_H1ef zenon_H1a2 zenon_H6f zenon_H192 zenon_H111 zenon_Hf5 zenon_H15d zenon_H19d zenon_H190 zenon_H20b zenon_H163 zenon_H140 zenon_H1fe zenon_H1fb zenon_H1d8 zenon_H131 zenon_Heb zenon_H230 zenon_H1cd zenon_H139 zenon_H13a zenon_Hb6 zenon_H47 zenon_Ha0 zenon_Hc4 zenon_H181 zenon_H120 zenon_H20f zenon_H1bb zenon_H1cf zenon_H104 zenon_H183 zenon_H19a zenon_H1b4 zenon_H77 zenon_H68 zenon_H1c3 zenon_H5c zenon_H48 zenon_H129 zenon_H212 zenon_H18a zenon_H7f zenon_H7d zenon_Hbc zenon_H209 zenon_H173 zenon_H2a zenon_H179 zenon_H13b zenon_Ha9.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.76 apply (zenon_L161_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.76 apply (zenon_L403_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.76 apply (zenon_L251_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.76 apply (zenon_L147_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.76 apply (zenon_L253_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.76 apply (zenon_L116_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.76 apply (zenon_L272_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.76 apply (zenon_L469_); trivial.
% 21.54/21.76 apply (zenon_L422_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.76 apply (zenon_L67_); trivial.
% 21.54/21.76 exact (zenon_H209 zenon_H9d).
% 21.54/21.76 apply (zenon_L401_); trivial.
% 21.54/21.76 apply (zenon_L423_); trivial.
% 21.54/21.76 (* end of lemma zenon_L471_ *)
% 21.54/21.76 assert (zenon_L472_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H13b zenon_Ha0 zenon_Ha6 zenon_H2a zenon_H173 zenon_Hc4 zenon_H1cb zenon_H120 zenon_H162 zenon_H1bb zenon_H6d zenon_H190 zenon_H68 zenon_Hfe zenon_Ha9 zenon_H1cf zenon_H48 zenon_H5c.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.76 apply (zenon_L116_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.76 apply (zenon_L272_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.76 apply (zenon_L425_); trivial.
% 21.54/21.76 apply (zenon_L157_); trivial.
% 21.54/21.76 (* end of lemma zenon_L472_ *)
% 21.54/21.76 assert (zenon_L473_ : ((op (e1) (e0)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (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 (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H76 zenon_H7f zenon_H1cd zenon_H230 zenon_Heb zenon_H131 zenon_H40 zenon_H158 zenon_H6d zenon_Hf0 zenon_H2a zenon_H173 zenon_H1d8 zenon_H1fb zenon_H77 zenon_H1fe zenon_H104 zenon_H179 zenon_H140 zenon_H183 zenon_H1b4 zenon_H163 zenon_H129 zenon_H20b zenon_H190 zenon_H19a zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H1bb zenon_H20f zenon_H1c3 zenon_H1cf zenon_H19d zenon_H15d zenon_Hf5 zenon_H111 zenon_H192 zenon_H6f zenon_H13a zenon_H13b zenon_H1a2 zenon_H1ef zenon_H68 zenon_H73 zenon_Hfa zenon_H196 zenon_H117 zenon_H121 zenon_H177 zenon_H11a zenon_Ha9 zenon_H1c6 zenon_Ha0 zenon_Hb6 zenon_H139 zenon_H125 zenon_H164 zenon_H55 zenon_H1cb zenon_He4 zenon_H156 zenon_H94 zenon_H22d zenon_H109 zenon_H100 zenon_Hb2 zenon_H4e zenon_H82 zenon_H189 zenon_H1a8 zenon_H186 zenon_H13c zenon_H5d zenon_Hcc zenon_H66 zenon_H201 zenon_H48 zenon_H5c.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.76 apply (zenon_L171_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.76 apply (zenon_L272_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.76 apply (zenon_L469_); trivial.
% 21.54/21.76 apply (zenon_L157_); trivial.
% 21.54/21.76 (* end of lemma zenon_L473_ *)
% 21.54/21.76 assert (zenon_L474_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 21.54/21.76 do 0 intro. intros zenon_Hb2 zenon_Hb6 zenon_H47 zenon_H5c zenon_H48 zenon_H1cf zenon_Hfe zenon_H68 zenon_H190 zenon_H6d zenon_H1bb zenon_H162 zenon_H120 zenon_H1cb zenon_Hc4 zenon_H173 zenon_H2a zenon_H13b zenon_Ha0 zenon_H2d zenon_Ha9 zenon_H102.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.76 apply (zenon_L253_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.76 apply (zenon_L472_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.76 apply (zenon_L67_); trivial.
% 21.54/21.76 apply (zenon_L91_); trivial.
% 21.54/21.76 (* end of lemma zenon_L474_ *)
% 21.54/21.76 assert (zenon_L475_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H125 zenon_H77 zenon_H13a zenon_H2d zenon_Ha0 zenon_H13b zenon_H2a zenon_H173 zenon_Hc4 zenon_H1cb zenon_H120 zenon_H162 zenon_H1bb zenon_H6d zenon_H190 zenon_H68 zenon_H1cf zenon_H48 zenon_H5c zenon_H47 zenon_Hb6 zenon_Hb2 zenon_Ha9 zenon_Hf6.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.76 apply (zenon_L251_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.76 apply (zenon_L429_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.76 apply (zenon_L27_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.76 apply (zenon_L253_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.76 apply (zenon_L53_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.76 apply (zenon_L474_); trivial.
% 21.54/21.76 apply (zenon_L92_); trivial.
% 21.54/21.76 (* end of lemma zenon_L475_ *)
% 21.54/21.76 assert (zenon_L476_ : (((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 (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H231 zenon_H34 zenon_Hbc zenon_H105 zenon_H104 zenon_Hc4 zenon_H1cb zenon_H120 zenon_H162 zenon_H1bb zenon_H1a3.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H11d | zenon_intro zenon_H232 ].
% 21.54/21.76 apply (zenon_L328_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H106 | zenon_intro zenon_H233 ].
% 21.54/21.76 apply (zenon_L72_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H160 | zenon_intro zenon_Hbb ].
% 21.54/21.76 apply (zenon_L237_); trivial.
% 21.54/21.76 exact (zenon_H1a3 zenon_Hbb).
% 21.54/21.76 (* end of lemma zenon_L476_ *)
% 21.54/21.76 assert (zenon_L477_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_Hc2 zenon_Hbc zenon_H34 zenon_H104 zenon_H105 zenon_H1bb zenon_H1cb zenon_H120 zenon_H162 zenon_H1a3 zenon_H231.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.54/21.76 apply (zenon_L476_); trivial.
% 21.54/21.76 apply (zenon_L476_); trivial.
% 21.54/21.76 (* end of lemma zenon_L477_ *)
% 21.54/21.76 assert (zenon_L478_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H13f zenon_H65 zenon_H77 zenon_H7f zenon_H1f1 zenon_H231 zenon_H1a3 zenon_H162 zenon_H120 zenon_H1cb zenon_H1bb zenon_H104 zenon_H34 zenon_Hbc zenon_Hc2 zenon_H195 zenon_H5c.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.54/21.76 apply (zenon_L30_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.54/21.76 apply (zenon_L284_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.54/21.76 apply (zenon_L477_); trivial.
% 21.54/21.76 apply (zenon_L149_); trivial.
% 21.54/21.76 (* end of lemma zenon_L478_ *)
% 21.54/21.76 assert (zenon_L479_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H125 zenon_H77 zenon_Hf6 zenon_Ha9 zenon_H13b zenon_H2a zenon_H173 zenon_Hc4 zenon_H1cb zenon_H120 zenon_H162 zenon_H1bb zenon_H190 zenon_H1cf zenon_H48 zenon_H5c zenon_Ha0 zenon_H47 zenon_Hb6 zenon_H13a zenon_H6d zenon_H55 zenon_H34 zenon_H68.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.76 apply (zenon_L251_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.76 apply (zenon_L429_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.76 apply (zenon_L34_); trivial.
% 21.54/21.76 apply (zenon_L291_); trivial.
% 21.54/21.76 (* end of lemma zenon_L479_ *)
% 21.54/21.76 assert (zenon_L480_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (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 (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((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 (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) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((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)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H1c3 zenon_H19a zenon_H18a zenon_H192 zenon_H164 zenon_H13f zenon_H7f zenon_H1f1 zenon_H231 zenon_H1a3 zenon_H104 zenon_Hbc zenon_Hc2 zenon_H195 zenon_H1cd zenon_H230 zenon_Heb zenon_H131 zenon_H40 zenon_H158 zenon_Hf0 zenon_H1d8 zenon_H1fb zenon_H1fe zenon_H179 zenon_H140 zenon_H183 zenon_H1b4 zenon_H163 zenon_H129 zenon_H20b zenon_H7d zenon_H212 zenon_H20f zenon_H19d zenon_H15d zenon_Hf5 zenon_H111 zenon_H6f zenon_H1a2 zenon_H1ef zenon_H73 zenon_Hfa zenon_H196 zenon_H117 zenon_H121 zenon_H177 zenon_H11a zenon_H1c6 zenon_H139 zenon_He4 zenon_H156 zenon_H94 zenon_H22d zenon_H109 zenon_H100 zenon_Hb2 zenon_H4e zenon_H82 zenon_H189 zenon_H1a8 zenon_H186 zenon_H13c zenon_H5d zenon_Hcc zenon_H201 zenon_H1d5 zenon_H125 zenon_H77 zenon_Ha9 zenon_H13b zenon_H2a zenon_H173 zenon_Hc4 zenon_H1cb zenon_H120 zenon_H162 zenon_H1bb zenon_H190 zenon_H1cf zenon_H48 zenon_H5c zenon_Ha0 zenon_H47 zenon_Hb6 zenon_H13a zenon_H6d zenon_H55 zenon_H68.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.76 apply (zenon_L13_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.76 apply (zenon_L251_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.76 apply (zenon_L21_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.76 apply (zenon_L396_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.76 apply (zenon_L251_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.76 apply (zenon_L171_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.76 apply (zenon_L34_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.76 apply (zenon_L253_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.76 apply (zenon_L53_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.76 apply (zenon_L253_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.76 apply (zenon_L472_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.76 apply (zenon_L427_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.76 apply (zenon_L61_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.54/21.76 apply (zenon_L53_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.54/21.76 apply (zenon_L151_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.54/21.76 apply (zenon_L56_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.54/21.76 apply (zenon_L431_); trivial.
% 21.54/21.76 apply (zenon_L149_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.54/21.76 apply (zenon_L289_); trivial.
% 21.54/21.76 apply (zenon_L394_); trivial.
% 21.54/21.76 apply (zenon_L63_); trivial.
% 21.54/21.76 apply (zenon_L91_); trivial.
% 21.54/21.76 apply (zenon_L339_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.76 apply (zenon_L251_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.76 apply (zenon_L147_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.76 apply (zenon_L252_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.76 apply (zenon_L473_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.76 apply (zenon_L27_); trivial.
% 21.54/21.76 apply (zenon_L340_); trivial.
% 21.54/21.76 apply (zenon_L475_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.76 apply (zenon_L251_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.76 apply (zenon_L21_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.76 apply (zenon_L252_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.76 apply (zenon_L473_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.76 apply (zenon_L478_); trivial.
% 21.54/21.76 apply (zenon_L340_); trivial.
% 21.54/21.76 apply (zenon_L479_); trivial.
% 21.54/21.76 (* end of lemma zenon_L480_ *)
% 21.54/21.76 assert (zenon_L481_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e1))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (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 (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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 (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((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 (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H141 zenon_H120 zenon_H230 zenon_H131 zenon_H1d8 zenon_H1fb zenon_H104 zenon_H179 zenon_H140 zenon_H129 zenon_H20b zenon_H190 zenon_H19a zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H1bb zenon_H20f zenon_H1c3 zenon_H1cf zenon_H15d zenon_Hf5 zenon_H111 zenon_H192 zenon_H6f zenon_H13b zenon_H1a2 zenon_H1ef zenon_Hfa zenon_H117 zenon_H121 zenon_H1c6 zenon_H164 zenon_H1cb zenon_H94 zenon_H22d zenon_H109 zenon_H100 zenon_H82 zenon_H1a8 zenon_H186 zenon_H13c zenon_H5d zenon_Hcc zenon_H1cd zenon_H201 zenon_H1f1 zenon_H231 zenon_H1d5 zenon_H195 zenon_H13f zenon_H55 zenon_H156 zenon_H77 zenon_Heb zenon_H19d zenon_H48 zenon_H125 zenon_Ha9 zenon_Hb2 zenon_H68 zenon_H4e zenon_H139 zenon_H183 zenon_H1b4 zenon_H163 zenon_He4 zenon_H73 zenon_H1fe zenon_H189 zenon_H11a zenon_H6d zenon_Hf0 zenon_H40 zenon_H173 zenon_H158 zenon_H196 zenon_H177 zenon_H2a zenon_Ha0 zenon_H47 zenon_Hb6 zenon_H13a.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.54/21.76 apply (zenon_L2_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.54/21.76 apply (zenon_L250_); trivial.
% 21.54/21.76 apply (zenon_L389_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.76 apply (zenon_L251_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.76 apply (zenon_L147_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.76 apply (zenon_L252_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.76 apply (zenon_L171_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.76 apply (zenon_L34_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.76 apply (zenon_L253_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.76 apply (zenon_L53_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.76 apply (zenon_L193_); trivial.
% 21.54/21.76 apply (zenon_L390_); trivial.
% 21.54/21.76 apply (zenon_L303_); trivial.
% 21.54/21.76 apply (zenon_L304_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.54/21.76 apply (zenon_L315_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.54/21.76 apply (zenon_L317_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.54/21.76 apply (zenon_L318_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.54/21.76 apply (zenon_L11_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.54/21.76 apply (zenon_L319_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.54/21.76 apply (zenon_L470_); trivial.
% 21.54/21.76 apply (zenon_L470_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.54/21.76 apply (zenon_L471_); trivial.
% 21.54/21.76 apply (zenon_L471_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.54/21.76 apply (zenon_L480_); trivial.
% 21.54/21.76 apply (zenon_L480_); trivial.
% 21.54/21.76 apply (zenon_L434_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.54/21.76 apply (zenon_L435_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.54/21.76 apply (zenon_L351_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.54/21.76 apply (zenon_L37_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.54/21.76 apply (zenon_L458_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.54/21.76 apply (zenon_L354_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.54/21.76 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 21.54/21.76 apply (zenon_L394_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.54/21.76 apply (zenon_L377_); trivial.
% 21.54/21.76 apply (zenon_L51_); trivial.
% 21.54/21.76 (* end of lemma zenon_L481_ *)
% 21.54/21.76 assert (zenon_L482_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e1) (e1)) = (e1)) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H28 zenon_H3f.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.54/21.76 apply (zenon_L10_); trivial.
% 21.54/21.76 (* end of lemma zenon_L482_ *)
% 21.54/21.76 assert (zenon_L483_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H5a zenon_H3f zenon_Hf0.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 21.54/21.76 apply (zenon_L118_); trivial.
% 21.54/21.76 (* end of lemma zenon_L483_ *)
% 21.54/21.76 assert (zenon_L484_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H5c zenon_H3f zenon_H234.
% 21.54/21.76 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H5e | zenon_intro zenon_H5f ].
% 21.54/21.76 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e1)) = (op (e1) (e3)))).
% 21.54/21.76 intro zenon_D_pnotp.
% 21.54/21.76 apply zenon_H234.
% 21.54/21.76 rewrite <- zenon_D_pnotp.
% 21.54/21.76 exact zenon_H5e.
% 21.54/21.76 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 21.54/21.76 cut (((op (e1) (e3)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H235].
% 21.54/21.76 congruence.
% 21.54/21.76 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e1)))).
% 21.54/21.76 intro zenon_D_pnotp.
% 21.54/21.76 apply zenon_H235.
% 21.54/21.76 rewrite <- zenon_D_pnotp.
% 21.54/21.76 exact zenon_H5c.
% 21.54/21.76 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H170].
% 21.54/21.76 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 21.54/21.76 congruence.
% 21.54/21.76 apply zenon_H5f. apply refl_equal.
% 21.54/21.76 apply zenon_H170. apply sym_equal. exact zenon_H3f.
% 21.54/21.76 apply zenon_H5f. apply refl_equal.
% 21.54/21.76 apply zenon_H5f. apply refl_equal.
% 21.54/21.76 (* end of lemma zenon_L484_ *)
% 21.54/21.76 assert (zenon_L485_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H61 zenon_H3f zenon_H234.
% 21.54/21.76 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 21.54/21.76 apply (zenon_L484_); trivial.
% 21.54/21.76 (* end of lemma zenon_L485_ *)
% 21.54/21.76 assert (zenon_L486_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H4d zenon_H3f zenon_H156.
% 21.54/21.76 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H4f | zenon_intro zenon_H50 ].
% 21.54/21.76 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e1)) = (op (e1) (e2)))).
% 21.54/21.76 intro zenon_D_pnotp.
% 21.54/21.76 apply zenon_H156.
% 21.54/21.76 rewrite <- zenon_D_pnotp.
% 21.54/21.76 exact zenon_H4f.
% 21.54/21.76 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.54/21.76 cut (((op (e1) (e2)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H157].
% 21.54/21.76 congruence.
% 21.54/21.76 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e1) (e1)))).
% 21.54/21.76 intro zenon_D_pnotp.
% 21.54/21.76 apply zenon_H157.
% 21.54/21.76 rewrite <- zenon_D_pnotp.
% 21.54/21.76 exact zenon_H4d.
% 21.54/21.76 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H170].
% 21.54/21.76 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 21.54/21.76 congruence.
% 21.54/21.76 apply zenon_H50. apply refl_equal.
% 21.54/21.76 apply zenon_H170. apply sym_equal. exact zenon_H3f.
% 21.54/21.76 apply zenon_H50. apply refl_equal.
% 21.54/21.76 apply zenon_H50. apply refl_equal.
% 21.54/21.76 (* end of lemma zenon_L486_ *)
% 21.54/21.76 assert (zenon_L487_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H236 zenon_H1f zenon_H48 zenon_H3d zenon_H237 zenon_H238.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 21.54/21.76 exact (zenon_H1f zenon_H1e).
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 21.54/21.76 apply (zenon_L65_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 21.54/21.76 exact (zenon_H237 zenon_H31).
% 21.54/21.76 exact (zenon_H238 zenon_H38).
% 21.54/21.76 (* end of lemma zenon_L487_ *)
% 21.54/21.76 assert (zenon_L488_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H3d zenon_Ha9 zenon_H66 zenon_H38 zenon_Ha0.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.76 exact (zenon_Ha4 zenon_H9f).
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.76 apply (zenon_L55_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.76 apply (zenon_L193_); trivial.
% 21.54/21.76 apply (zenon_L156_); trivial.
% 21.54/21.76 (* end of lemma zenon_L488_ *)
% 21.54/21.76 assert (zenon_L489_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H139 zenon_H2c zenon_H65 zenon_H77 zenon_Ha0 zenon_Ha9 zenon_H3d zenon_Hb6 zenon_Ha4 zenon_H13a zenon_H38 zenon_H68.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.76 apply (zenon_L180_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.76 apply (zenon_L214_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.76 apply (zenon_L488_); trivial.
% 21.54/21.76 apply (zenon_L165_); trivial.
% 21.54/21.76 (* end of lemma zenon_L489_ *)
% 21.54/21.76 assert (zenon_L490_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H236 zenon_H1f zenon_H48 zenon_H237 zenon_H139 zenon_H2c zenon_H65 zenon_H77 zenon_Ha0 zenon_Ha9 zenon_H3d zenon_Hb6 zenon_Ha4 zenon_H13a zenon_H68.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 21.54/21.76 exact (zenon_H1f zenon_H1e).
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 21.54/21.76 apply (zenon_L65_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 21.54/21.76 exact (zenon_H237 zenon_H31).
% 21.54/21.76 apply (zenon_L489_); trivial.
% 21.54/21.76 (* end of lemma zenon_L490_ *)
% 21.54/21.76 assert (zenon_L491_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H23b zenon_H139 zenon_H68 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H13a zenon_H77 zenon_H65 zenon_H2c zenon_H1f zenon_H48 zenon_H3d zenon_H237 zenon_H236.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 21.54/21.76 apply (zenon_L487_); trivial.
% 21.54/21.76 apply (zenon_L490_); trivial.
% 21.54/21.76 (* end of lemma zenon_L491_ *)
% 21.54/21.76 assert (zenon_L492_ : (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H23c zenon_H3c zenon_H3f.
% 21.54/21.76 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 21.54/21.76 intro zenon_D_pnotp.
% 21.54/21.76 apply zenon_H23c.
% 21.54/21.76 rewrite <- zenon_D_pnotp.
% 21.54/21.76 exact zenon_H3c.
% 21.54/21.76 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H170].
% 21.54/21.76 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H101].
% 21.54/21.76 congruence.
% 21.54/21.76 apply zenon_H101. apply refl_equal.
% 21.54/21.76 apply zenon_H170. apply sym_equal. exact zenon_H3f.
% 21.54/21.76 (* end of lemma zenon_L492_ *)
% 21.54/21.76 assert (zenon_L493_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H121 zenon_H33 zenon_H9f zenon_H171 zenon_Ha9 zenon_H106 zenon_Hb6 zenon_Hb9 zenon_H129.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.54/21.76 apply (zenon_L245_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.54/21.76 apply (zenon_L371_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.54/21.76 apply (zenon_L363_); trivial.
% 21.54/21.76 apply (zenon_L189_); trivial.
% 21.54/21.76 (* end of lemma zenon_L493_ *)
% 21.54/21.76 assert (zenon_L494_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H13a zenon_H155 zenon_H17c zenon_Ha0 zenon_H2a zenon_Ha9 zenon_H66 zenon_Hb9 zenon_H196.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.76 apply (zenon_L444_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.76 apply (zenon_L53_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.76 apply (zenon_L193_); trivial.
% 21.54/21.76 apply (zenon_L154_); trivial.
% 21.54/21.76 (* end of lemma zenon_L494_ *)
% 21.54/21.76 assert (zenon_L495_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H183 zenon_H68 zenon_H34 zenon_H129 zenon_Hb6 zenon_H9f zenon_H33 zenon_H121 zenon_H106 zenon_H77 zenon_H13a zenon_H155 zenon_Ha0 zenon_H2a zenon_Ha9 zenon_H66 zenon_Hb9 zenon_H196.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.54/21.76 apply (zenon_L291_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.54/21.76 apply (zenon_L493_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.54/21.76 apply (zenon_L367_); trivial.
% 21.54/21.76 apply (zenon_L494_); trivial.
% 21.54/21.76 (* end of lemma zenon_L495_ *)
% 21.54/21.76 assert (zenon_L496_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H7f zenon_H66 zenon_H177 zenon_H155 zenon_H9f.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.54/21.76 apply (zenon_L291_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.54/21.76 apply (zenon_L169_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.54/21.76 apply (zenon_L122_); trivial.
% 21.54/21.76 apply (zenon_L444_); trivial.
% 21.54/21.76 (* end of lemma zenon_L496_ *)
% 21.54/21.76 assert (zenon_L497_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H139 zenon_H2c zenon_H65 zenon_H68 zenon_H2a zenon_H153 zenon_H77 zenon_Ha9 zenon_H9e.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.76 apply (zenon_L180_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.76 apply (zenon_L147_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.76 apply (zenon_L94_); trivial.
% 21.54/21.76 apply (zenon_L92_); trivial.
% 21.54/21.76 (* end of lemma zenon_L497_ *)
% 21.54/21.76 assert (zenon_L498_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e3)) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H15d zenon_H4c zenon_H48 zenon_Ha9 zenon_H77 zenon_H2a zenon_H68 zenon_H65 zenon_H2c zenon_H139 zenon_Hb6 zenon_H9e.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.76 exact (zenon_H4c zenon_H47).
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.76 apply (zenon_L65_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.76 apply (zenon_L497_); trivial.
% 21.54/21.76 apply (zenon_L115_); trivial.
% 21.54/21.76 (* end of lemma zenon_L498_ *)
% 21.54/21.76 assert (zenon_L499_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H236 zenon_H1f zenon_Hb6 zenon_H139 zenon_H2c zenon_H65 zenon_H68 zenon_H77 zenon_Ha9 zenon_H48 zenon_H4c zenon_H15d zenon_H237 zenon_H9e zenon_Ha0.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 21.54/21.76 exact (zenon_H1f zenon_H1e).
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 21.54/21.76 apply (zenon_L498_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 21.54/21.76 exact (zenon_H237 zenon_H31).
% 21.54/21.76 apply (zenon_L156_); trivial.
% 21.54/21.76 (* end of lemma zenon_L499_ *)
% 21.54/21.76 assert (zenon_L500_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((e0) = (e3))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H23b zenon_H177 zenon_H34 zenon_H183 zenon_H201 zenon_H4e zenon_H3c zenon_H190 zenon_H117 zenon_H14c zenon_H129 zenon_H33 zenon_H121 zenon_H13a zenon_H196 zenon_H23c zenon_He4 zenon_H2a zenon_H66 zenon_H236 zenon_H1f zenon_Hb6 zenon_H139 zenon_H2c zenon_H65 zenon_H68 zenon_H77 zenon_Ha9 zenon_H48 zenon_H4c zenon_H15d zenon_H237 zenon_Ha0.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.76 exact (zenon_H4c zenon_H47).
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.76 apply (zenon_L491_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.76 apply (zenon_L94_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.54/21.76 apply (zenon_L65_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.54/21.76 apply (zenon_L492_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.76 apply (zenon_L94_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.76 apply (zenon_L14_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.76 apply (zenon_L143_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.76 apply (zenon_L43_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.76 apply (zenon_L113_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.76 apply (zenon_L278_); trivial.
% 21.54/21.76 apply (zenon_L495_); trivial.
% 21.54/21.76 apply (zenon_L496_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.76 apply (zenon_L53_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.76 apply (zenon_L193_); trivial.
% 21.54/21.76 apply (zenon_L499_); trivial.
% 21.54/21.76 (* end of lemma zenon_L500_ *)
% 21.54/21.76 assert (zenon_L501_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H82 zenon_Ha0 zenon_H237 zenon_H15d zenon_H4c zenon_Ha9 zenon_H68 zenon_H2c zenon_H139 zenon_Hb6 zenon_H1f zenon_H236 zenon_H66 zenon_H2a zenon_He4 zenon_H23c zenon_H196 zenon_H13a zenon_H121 zenon_H33 zenon_H129 zenon_H14c zenon_H117 zenon_H190 zenon_H4e zenon_H201 zenon_H183 zenon_H177 zenon_H23b zenon_H65 zenon_H77 zenon_H34 zenon_H48.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.76 exact (zenon_H4c zenon_H47).
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.76 apply (zenon_L500_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.76 apply (zenon_L30_); trivial.
% 21.54/21.76 apply (zenon_L456_); trivial.
% 21.54/21.76 (* end of lemma zenon_L501_ *)
% 21.54/21.76 assert (zenon_L502_ : (((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)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H13a zenon_H33 zenon_H9d zenon_Ha0 zenon_H2a zenon_Ha9 zenon_H66 zenon_Hb6 zenon_H155.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.76 apply (zenon_L245_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.76 apply (zenon_L53_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.76 apply (zenon_L193_); trivial.
% 21.54/21.76 apply (zenon_L115_); trivial.
% 21.54/21.76 (* end of lemma zenon_L502_ *)
% 21.54/21.76 assert (zenon_L503_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (((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 (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H82 zenon_H155 zenon_H13a zenon_H33 zenon_Ha0 zenon_H2a zenon_Ha9 zenon_H68 zenon_H139 zenon_H48 zenon_H25 zenon_H65 zenon_H77 zenon_Hb6 zenon_H9d.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.76 apply (zenon_L251_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.76 apply (zenon_L147_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.76 apply (zenon_L502_); trivial.
% 21.54/21.76 apply (zenon_L98_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.76 apply (zenon_L25_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.76 apply (zenon_L30_); trivial.
% 21.54/21.76 apply (zenon_L134_); trivial.
% 21.54/21.76 (* end of lemma zenon_L503_ *)
% 21.54/21.76 assert (zenon_L504_ : (((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 (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H183 zenon_H77 zenon_H7e zenon_Hac zenon_Ha9 zenon_H66 zenon_H177 zenon_H68 zenon_H167.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.54/21.76 apply (zenon_L71_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.54/21.76 apply (zenon_L371_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.54/21.76 apply (zenon_L122_); trivial.
% 21.54/21.76 apply (zenon_L295_); trivial.
% 21.54/21.76 (* end of lemma zenon_L504_ *)
% 21.54/21.76 assert (zenon_L505_ : (~((e0) = (e3))) -> ((op (e3) (e3)) = (e3)) -> ((op (e3) (e3)) = (e0)) -> False).
% 21.54/21.76 do 0 intro. intros zenon_Ha0 zenon_Hc3 zenon_H167.
% 21.54/21.76 cut (((op (e3) (e3)) = (e3)) = ((e0) = (e3))).
% 21.54/21.76 intro zenon_D_pnotp.
% 21.54/21.76 apply zenon_Ha0.
% 21.54/21.76 rewrite <- zenon_D_pnotp.
% 21.54/21.76 exact zenon_Hc3.
% 21.54/21.76 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.54/21.76 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H162].
% 21.54/21.76 congruence.
% 21.54/21.76 exact (zenon_H162 zenon_H167).
% 21.54/21.76 apply zenon_Ha2. apply refl_equal.
% 21.54/21.76 (* end of lemma zenon_L505_ *)
% 21.54/21.76 assert (zenon_L506_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (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 (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e3)) = (e0)) -> False).
% 21.54/21.76 do 0 intro. intros zenon_H121 zenon_H65 zenon_H25 zenon_H48 zenon_H139 zenon_H2a zenon_H33 zenon_H13a zenon_H155 zenon_H82 zenon_H68 zenon_H177 zenon_H66 zenon_Ha9 zenon_H7e zenon_H77 zenon_H183 zenon_H106 zenon_Hb6 zenon_Ha0 zenon_H167.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.54/21.76 apply (zenon_L503_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.54/21.76 apply (zenon_L504_); trivial.
% 21.54/21.76 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.54/21.76 apply (zenon_L363_); trivial.
% 21.54/21.76 apply (zenon_L505_); trivial.
% 21.54/21.76 (* end of lemma zenon_L506_ *)
% 21.54/21.76 assert (zenon_L507_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (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 (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H164 zenon_H23b zenon_H201 zenon_H4e zenon_H190 zenon_H117 zenon_H129 zenon_H196 zenon_H23c zenon_He4 zenon_H236 zenon_H1f zenon_H2c zenon_H4c zenon_H15d zenon_H237 zenon_H192 zenon_H14c zenon_H104 zenon_H121 zenon_H65 zenon_H25 zenon_H48 zenon_H139 zenon_H2a zenon_H33 zenon_H13a zenon_H155 zenon_H82 zenon_H68 zenon_H177 zenon_H66 zenon_Ha9 zenon_H7e zenon_H77 zenon_H183 zenon_H106 zenon_Hb6 zenon_Ha0.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.77 apply (zenon_L501_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.77 apply (zenon_L292_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.77 apply (zenon_L257_); trivial.
% 21.54/21.77 apply (zenon_L506_); trivial.
% 21.54/21.77 (* end of lemma zenon_L507_ *)
% 21.54/21.77 assert (zenon_L508_ : (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (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))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H156 zenon_H3f zenon_H1bf zenon_H164 zenon_H23b zenon_H201 zenon_H4e zenon_H190 zenon_H117 zenon_H129 zenon_H196 zenon_H23c zenon_He4 zenon_H236 zenon_H1f zenon_H2c zenon_H4c zenon_H15d zenon_H237 zenon_H192 zenon_H14c zenon_H104 zenon_H121 zenon_H65 zenon_H25 zenon_H48 zenon_H139 zenon_H2a zenon_H33 zenon_H13a zenon_H155 zenon_H82 zenon_H68 zenon_H177 zenon_H66 zenon_Ha9 zenon_H7e zenon_H77 zenon_H183 zenon_Hb6 zenon_Ha0.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.77 apply (zenon_L94_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.77 apply (zenon_L486_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.77 exact (zenon_H1bf zenon_H105).
% 21.54/21.77 apply (zenon_L507_); trivial.
% 21.54/21.77 (* end of lemma zenon_L508_ *)
% 21.54/21.77 assert (zenon_L509_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H201 zenon_H77 zenon_H156 zenon_H3f zenon_H1bf zenon_H117 zenon_Ha9 zenon_H65 zenon_H10c zenon_Hf0 zenon_H131 zenon_H66 zenon_H73 zenon_H163 zenon_H4e zenon_H25 zenon_H1ec zenon_Ha0 zenon_H115.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.77 apply (zenon_L94_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.77 apply (zenon_L486_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.77 exact (zenon_H1bf zenon_H105).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.77 apply (zenon_L43_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.77 apply (zenon_L74_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.77 apply (zenon_L286_); trivial.
% 21.54/21.77 apply (zenon_L77_); trivial.
% 21.54/21.77 (* end of lemma zenon_L509_ *)
% 21.54/21.77 assert (zenon_L510_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e0) = (e3))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H141 zenon_H13f zenon_Hb6 zenon_H183 zenon_H7e zenon_H177 zenon_H68 zenon_H82 zenon_H155 zenon_H13a zenon_H33 zenon_H2a zenon_H139 zenon_H48 zenon_H121 zenon_H104 zenon_H192 zenon_H237 zenon_H15d zenon_H4c zenon_H2c zenon_H1f zenon_H236 zenon_He4 zenon_H23c zenon_H196 zenon_H129 zenon_H190 zenon_H23b zenon_H164 zenon_H201 zenon_H77 zenon_H156 zenon_H3f zenon_H1bf zenon_H117 zenon_Ha9 zenon_H65 zenon_H10c zenon_Hf0 zenon_H131 zenon_H66 zenon_H73 zenon_H163 zenon_H4e zenon_H25 zenon_H1ec zenon_Ha0.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.77 apply (zenon_L27_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.54/21.77 apply (zenon_L30_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.54/21.77 apply (zenon_L111_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.54/21.77 exact (zenon_H1bf zenon_H105).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.77 apply (zenon_L94_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.77 apply (zenon_L486_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.77 exact (zenon_H1bf zenon_H105).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.77 apply (zenon_L43_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.77 apply (zenon_L152_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.77 apply (zenon_L286_); trivial.
% 21.54/21.77 apply (zenon_L182_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.77 apply (zenon_L508_); trivial.
% 21.54/21.77 apply (zenon_L509_); trivial.
% 21.54/21.77 (* end of lemma zenon_L510_ *)
% 21.54/21.77 assert (zenon_L511_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H140 zenon_Ha0 zenon_Hb6 zenon_H183 zenon_H77 zenon_H7e zenon_Ha9 zenon_H177 zenon_H68 zenon_H82 zenon_H155 zenon_H13a zenon_H33 zenon_H2a zenon_H139 zenon_H48 zenon_H25 zenon_H65 zenon_H121 zenon_H192 zenon_H237 zenon_H15d zenon_H4c zenon_H2c zenon_H1f zenon_H236 zenon_He4 zenon_H23c zenon_H196 zenon_H129 zenon_H117 zenon_H190 zenon_H4e zenon_H201 zenon_H23b zenon_H164 zenon_H13e zenon_H104 zenon_H1bf zenon_H66 zenon_H111 zenon_H133 zenon_H131.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.77 exact (zenon_H237 zenon_H31).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.77 apply (zenon_L162_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.77 apply (zenon_L94_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.77 apply (zenon_L124_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.77 exact (zenon_H1bf zenon_H105).
% 21.54/21.77 apply (zenon_L507_); trivial.
% 21.54/21.77 apply (zenon_L260_); trivial.
% 21.54/21.77 (* end of lemma zenon_L511_ *)
% 21.54/21.77 assert (zenon_L512_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H1a2 zenon_Ha9 zenon_H66 zenon_H186 zenon_Ha5 zenon_H190 zenon_H10d zenon_Hb6 zenon_H106.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.54/21.77 apply (zenon_L193_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.54/21.77 apply (zenon_L308_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.54/21.77 apply (zenon_L163_); trivial.
% 21.54/21.77 apply (zenon_L363_); trivial.
% 21.54/21.77 (* end of lemma zenon_L512_ *)
% 21.54/21.77 assert (zenon_L513_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H3a zenon_H23c zenon_H3f.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 21.54/21.77 apply (zenon_L492_); trivial.
% 21.54/21.77 (* end of lemma zenon_L513_ *)
% 21.54/21.77 assert (zenon_L514_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H183 zenon_H7e zenon_Hac zenon_Ha9 zenon_H106 zenon_H77 zenon_H155 zenon_H9f.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.54/21.77 apply (zenon_L71_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.54/21.77 apply (zenon_L371_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.54/21.77 apply (zenon_L367_); trivial.
% 21.54/21.77 apply (zenon_L444_); trivial.
% 21.54/21.77 (* end of lemma zenon_L514_ *)
% 21.54/21.77 assert (zenon_L515_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> ((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)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((e0) = (e3))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H13a zenon_H155 zenon_Hac zenon_H7e zenon_H183 zenon_H1bf zenon_H3f zenon_H156 zenon_H201 zenon_H2a zenon_H66 zenon_H236 zenon_H1f zenon_Hb6 zenon_H139 zenon_H2c zenon_H65 zenon_H68 zenon_H77 zenon_Ha9 zenon_H48 zenon_H4c zenon_H15d zenon_H237 zenon_Ha0.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.77 apply (zenon_L94_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.77 apply (zenon_L486_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.77 exact (zenon_H1bf zenon_H105).
% 21.54/21.77 apply (zenon_L514_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.77 apply (zenon_L53_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.77 apply (zenon_L193_); trivial.
% 21.54/21.77 apply (zenon_L499_); trivial.
% 21.54/21.77 (* end of lemma zenon_L515_ *)
% 21.54/21.77 assert (zenon_L516_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H82 zenon_H4c zenon_H3f zenon_H23c zenon_H65 zenon_H77 zenon_H34 zenon_H48.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.77 exact (zenon_H4c zenon_H47).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.77 apply (zenon_L492_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.77 apply (zenon_L30_); trivial.
% 21.54/21.77 apply (zenon_L456_); trivial.
% 21.54/21.77 (* end of lemma zenon_L516_ *)
% 21.54/21.77 assert (zenon_L517_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H23d zenon_H1f zenon_H4c zenon_H6c zenon_H17c zenon_H155.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1e | zenon_intro zenon_H23e ].
% 21.54/21.77 exact (zenon_H1f zenon_H1e).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H47 | zenon_intro zenon_H23f ].
% 21.54/21.77 exact (zenon_H4c zenon_H47).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H67 | zenon_intro zenon_H9f ].
% 21.54/21.77 exact (zenon_H6c zenon_H67).
% 21.54/21.77 apply (zenon_L444_); trivial.
% 21.54/21.77 (* end of lemma zenon_L517_ *)
% 21.54/21.77 assert (zenon_L518_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e3)) = (e1)) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H183 zenon_H7e zenon_Hef zenon_H11a zenon_H106 zenon_H77 zenon_H23d zenon_H1f zenon_H4c zenon_H6c zenon_H155.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.54/21.77 apply (zenon_L71_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.54/21.77 apply (zenon_L119_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.54/21.77 apply (zenon_L367_); trivial.
% 21.54/21.77 apply (zenon_L517_); trivial.
% 21.54/21.77 (* end of lemma zenon_L518_ *)
% 21.54/21.77 assert (zenon_L519_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e3)) = (e1)) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H201 zenon_H66 zenon_H156 zenon_H3f zenon_H1bf zenon_H183 zenon_H7e zenon_Hef zenon_H11a zenon_H77 zenon_H23d zenon_H1f zenon_H4c zenon_H6c zenon_H155.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.77 apply (zenon_L94_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.77 apply (zenon_L486_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.77 exact (zenon_H1bf zenon_H105).
% 21.54/21.77 apply (zenon_L518_); trivial.
% 21.54/21.77 (* end of lemma zenon_L519_ *)
% 21.54/21.77 assert (zenon_L520_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H1fe zenon_Hac zenon_Ha9 zenon_H55 zenon_H13c zenon_Ha0 zenon_H6c zenon_H1f zenon_H23d zenon_H11a zenon_H183 zenon_H1bf zenon_Hb6 zenon_H66 zenon_H201 zenon_H2a zenon_H1a8 zenon_H73 zenon_H156 zenon_Hfa zenon_H15d zenon_H68 zenon_H82 zenon_H4c zenon_H3f zenon_H23c zenon_H65 zenon_H77 zenon_H48.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.77 exact (zenon_H1f zenon_H1e).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.77 exact (zenon_H4c zenon_H47).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.77 apply (zenon_L65_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.77 apply (zenon_L94_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.77 exact (zenon_H4c zenon_H47).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.77 apply (zenon_L492_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.77 apply (zenon_L30_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.77 apply (zenon_L171_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.77 apply (zenon_L519_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.77 apply (zenon_L22_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.54/21.77 apply (zenon_L147_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.77 apply (zenon_L116_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.77 apply (zenon_L79_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.77 apply (zenon_L94_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.77 apply (zenon_L124_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.77 exact (zenon_H1bf zenon_H105).
% 21.54/21.77 apply (zenon_L518_); trivial.
% 21.54/21.77 apply (zenon_L299_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.54/21.77 apply (zenon_L34_); trivial.
% 21.54/21.77 apply (zenon_L371_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.77 apply (zenon_L27_); trivial.
% 21.54/21.77 apply (zenon_L516_); trivial.
% 21.54/21.77 (* end of lemma zenon_L520_ *)
% 21.54/21.77 assert (zenon_L521_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((op (e0) (e1)) = (e0)) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H204 zenon_H1fe zenon_H23c zenon_H48 zenon_H77 zenon_H66 zenon_H82 zenon_H201 zenon_Ha9 zenon_Hac zenon_H183 zenon_H1bf zenon_H3f zenon_H156 zenon_Ha0 zenon_H236 zenon_H139 zenon_H68 zenon_H2c zenon_Hb6 zenon_H15d zenon_H13a zenon_H65 zenon_H1f zenon_H11a zenon_H23d zenon_H73 zenon_H1a8 zenon_H55 zenon_H13c zenon_Hfa zenon_H240 zenon_H2a.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 21.54/21.77 exact (zenon_H205 zenon_H2a).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.77 exact (zenon_H1f zenon_H1e).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.77 exact (zenon_H4c zenon_H47).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.77 apply (zenon_L65_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.77 apply (zenon_L94_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.77 exact (zenon_H4c zenon_H47).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.77 apply (zenon_L25_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.77 apply (zenon_L30_); trivial.
% 21.54/21.77 apply (zenon_L515_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.77 apply (zenon_L27_); trivial.
% 21.54/21.77 apply (zenon_L516_); trivial.
% 21.54/21.77 apply (zenon_L520_); trivial.
% 21.54/21.77 (* end of lemma zenon_L521_ *)
% 21.54/21.77 assert (zenon_L522_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e1) (e1)) = (e1)) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H87 zenon_H3f.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.54/21.77 apply (zenon_L10_); trivial.
% 21.54/21.77 (* end of lemma zenon_L522_ *)
% 21.54/21.77 assert (zenon_L523_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H13e zenon_H11d zenon_H1bf zenon_H104 zenon_H99 zenon_H133 zenon_H131.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H14c | zenon_intro zenon_H151 ].
% 21.54/21.77 apply (zenon_L257_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H105 | zenon_intro zenon_H152 ].
% 21.54/21.77 exact (zenon_H1bf zenon_H105).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H110 ].
% 21.54/21.77 apply (zenon_L232_); trivial.
% 21.54/21.77 apply (zenon_L259_); trivial.
% 21.54/21.77 (* end of lemma zenon_L523_ *)
% 21.54/21.77 assert (zenon_L524_ : (((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)) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H140 zenon_H1d8 zenon_H2a zenon_Ha0 zenon_Hef zenon_H13e zenon_H1bf zenon_H104 zenon_H99 zenon_H133 zenon_H131.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.77 apply (zenon_L254_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.77 apply (zenon_L162_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.77 apply (zenon_L265_); trivial.
% 21.54/21.77 apply (zenon_L523_); trivial.
% 21.54/21.77 (* end of lemma zenon_L524_ *)
% 21.54/21.77 assert (zenon_L525_ : (((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) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H1ec zenon_H25 zenon_H4e zenon_H156 zenon_H3f zenon_H160 zenon_H163 zenon_Ha5 zenon_H186.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1ed ].
% 21.54/21.77 apply (zenon_L274_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H4d | zenon_intro zenon_H1ee ].
% 21.54/21.77 apply (zenon_L486_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H72 | zenon_intro zenon_H133 ].
% 21.54/21.77 apply (zenon_L227_); trivial.
% 21.54/21.77 apply (zenon_L308_); trivial.
% 21.54/21.77 (* end of lemma zenon_L525_ *)
% 21.54/21.77 assert (zenon_L526_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H13f zenon_H48 zenon_H2d zenon_Hf0 zenon_H3f zenon_H1bf zenon_H77 zenon_H93.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.54/21.77 apply (zenon_L217_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.54/21.77 apply (zenon_L118_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.54/21.77 exact (zenon_H1bf zenon_H105).
% 21.54/21.77 apply (zenon_L218_); trivial.
% 21.54/21.77 (* end of lemma zenon_L526_ *)
% 21.54/21.77 assert (zenon_L527_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H1bb zenon_H209 zenon_H160 zenon_Hbc zenon_H7d zenon_H7f zenon_H18a zenon_H212 zenon_H120 zenon_H129 zenon_H93 zenon_Hc4.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.54/21.77 apply (zenon_L417_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.54/21.77 exact (zenon_H120 zenon_H11f).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.54/21.77 apply (zenon_L126_); trivial.
% 21.54/21.77 exact (zenon_Hc4 zenon_Hc3).
% 21.54/21.77 (* end of lemma zenon_L527_ *)
% 21.54/21.77 assert (zenon_L528_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H12e zenon_H48 zenon_H34 zenon_Hc4 zenon_H93 zenon_H129 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1bb zenon_H160 zenon_H77 zenon_H120.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.77 apply (zenon_L456_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.77 apply (zenon_L527_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.77 apply (zenon_L367_); trivial.
% 21.54/21.77 exact (zenon_H120 zenon_H11f).
% 21.54/21.77 (* end of lemma zenon_L528_ *)
% 21.54/21.77 assert (zenon_L529_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (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) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H1fe zenon_H19d zenon_H195 zenon_H163 zenon_H13c zenon_H11a zenon_Hac zenon_H131 zenon_H99 zenon_H104 zenon_H13e zenon_Ha0 zenon_H2a zenon_H1d8 zenon_H140 zenon_H1ec zenon_H4e zenon_H156 zenon_H186 zenon_H68 zenon_Hfa zenon_H1bf zenon_H3f zenon_Hf0 zenon_H13f zenon_H12e zenon_H48 zenon_Hc4 zenon_H93 zenon_H129 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1bb zenon_H160 zenon_H77 zenon_H120.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.77 apply (zenon_L161_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.77 apply (zenon_L171_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.77 apply (zenon_L116_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.77 apply (zenon_L79_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.77 apply (zenon_L524_); trivial.
% 21.54/21.77 apply (zenon_L525_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.77 apply (zenon_L227_); trivial.
% 21.54/21.77 apply (zenon_L228_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.77 apply (zenon_L526_); trivial.
% 21.54/21.77 apply (zenon_L528_); trivial.
% 21.54/21.77 (* end of lemma zenon_L529_ *)
% 21.54/21.77 assert (zenon_L530_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 21.54/21.77 do 0 intro. intros zenon_Hca zenon_H1bb zenon_H160 zenon_H1cb zenon_H162 zenon_Hc2 zenon_Hac.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 21.54/21.77 exact (zenon_H1c7 zenon_Hac).
% 21.54/21.77 apply (zenon_L238_); trivial.
% 21.54/21.77 (* end of lemma zenon_L530_ *)
% 21.54/21.77 assert (zenon_L531_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e1) (e1)) = (e1)) -> False).
% 21.54/21.77 do 0 intro. intros zenon_Hb1 zenon_H3f.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.54/21.77 apply (zenon_L10_); trivial.
% 21.54/21.77 (* end of lemma zenon_L531_ *)
% 21.54/21.77 assert (zenon_L532_ : ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (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 (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 21.54/21.77 do 0 intro. intros zenon_Hcc zenon_H1fb zenon_H234 zenon_H23c zenon_H82 zenon_H201 zenon_Ha9 zenon_H183 zenon_H236 zenon_H139 zenon_H2c zenon_Hb6 zenon_H15d zenon_H13a zenon_H23d zenon_H73 zenon_H1a8 zenon_H55 zenon_H1fe zenon_H1bb zenon_H129 zenon_H18a zenon_Hbc zenon_H212 zenon_H12e zenon_H48 zenon_Hf0 zenon_H77 zenon_H13f zenon_H68 zenon_H13c zenon_H4e zenon_H156 zenon_H163 zenon_H186 zenon_H1ec zenon_H1d8 zenon_H13e zenon_H131 zenon_H1bf zenon_H104 zenon_H140 zenon_H11a zenon_Ha0 zenon_H195 zenon_Hfa zenon_H2a zenon_H19d zenon_H1cb zenon_H7d zenon_H3f zenon_H1cd zenon_Hac.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.54/21.77 apply (zenon_L2_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.54/21.77 apply (zenon_L482_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.54/21.77 apply (zenon_L315_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.54/21.77 apply (zenon_L317_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.54/21.77 apply (zenon_L513_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.54/21.77 apply (zenon_L11_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.54/21.77 apply (zenon_L483_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.54/21.77 apply (zenon_L485_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.54/21.77 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 21.54/21.77 apply (zenon_L521_); trivial.
% 21.54/21.77 apply (zenon_L521_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.54/21.77 apply (zenon_L522_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.54/21.77 apply (zenon_L37_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.54/21.77 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.54/21.77 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 21.54/21.77 exact (zenon_H1c7 zenon_Hac).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.54/21.77 apply (zenon_L529_); trivial.
% 21.54/21.77 apply (zenon_L529_); trivial.
% 21.54/21.77 apply (zenon_L530_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.54/21.77 apply (zenon_L387_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.54/21.77 apply (zenon_L531_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.54/21.77 apply (zenon_L388_); trivial.
% 21.54/21.77 apply (zenon_L51_); trivial.
% 21.54/21.77 (* end of lemma zenon_L532_ *)
% 21.54/21.77 assert (zenon_L533_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H8a zenon_H65 zenon_H1ef.
% 21.54/21.77 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H112 | zenon_intro zenon_H108 ].
% 21.54/21.77 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 21.54/21.77 intro zenon_D_pnotp.
% 21.54/21.77 apply zenon_H1ef.
% 21.54/21.77 rewrite <- zenon_D_pnotp.
% 21.54/21.77 exact zenon_H112.
% 21.54/21.77 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 21.54/21.77 cut (((op (e2) (e2)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 21.54/21.77 congruence.
% 21.54/21.77 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e0)))).
% 21.54/21.77 intro zenon_D_pnotp.
% 21.54/21.77 apply zenon_H1f0.
% 21.54/21.77 rewrite <- zenon_D_pnotp.
% 21.54/21.77 exact zenon_H8a.
% 21.54/21.77 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 21.54/21.77 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 21.54/21.77 congruence.
% 21.54/21.77 apply zenon_H108. apply refl_equal.
% 21.54/21.77 apply zenon_H98. apply sym_equal. exact zenon_H65.
% 21.54/21.77 apply zenon_H108. apply refl_equal.
% 21.54/21.77 apply zenon_H108. apply refl_equal.
% 21.54/21.77 (* end of lemma zenon_L533_ *)
% 21.54/21.77 assert (zenon_L534_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H125 zenon_H6c zenon_H68 zenon_H25 zenon_H1ef zenon_H8a zenon_H7e zenon_H77.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.77 exact (zenon_H6c zenon_H67).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.77 apply (zenon_L171_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.77 apply (zenon_L533_); trivial.
% 21.54/21.77 apply (zenon_L71_); trivial.
% 21.54/21.77 (* end of lemma zenon_L534_ *)
% 21.54/21.77 assert (zenon_L535_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H13e zenon_H11d zenon_H104 zenon_H1bf zenon_H77 zenon_H7e zenon_H1ef zenon_H25 zenon_H68 zenon_H6c zenon_H125 zenon_H10d zenon_H190.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H14c | zenon_intro zenon_H151 ].
% 21.54/21.77 apply (zenon_L257_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H105 | zenon_intro zenon_H152 ].
% 21.54/21.77 exact (zenon_H1bf zenon_H105).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H110 ].
% 21.54/21.77 apply (zenon_L534_); trivial.
% 21.54/21.77 apply (zenon_L163_); trivial.
% 21.54/21.77 (* end of lemma zenon_L535_ *)
% 21.54/21.77 assert (zenon_L536_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (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 (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H164 zenon_H23c zenon_H3f zenon_H4c zenon_H192 zenon_H190 zenon_H10d zenon_H125 zenon_H6c zenon_H1ef zenon_H1bf zenon_H104 zenon_H13e zenon_H121 zenon_H65 zenon_H25 zenon_H48 zenon_H139 zenon_H2a zenon_H33 zenon_H13a zenon_H155 zenon_H82 zenon_H68 zenon_H177 zenon_H66 zenon_Ha9 zenon_H7e zenon_H77 zenon_H183 zenon_H106 zenon_Hb6 zenon_Ha0.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.77 apply (zenon_L516_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.77 apply (zenon_L292_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.77 apply (zenon_L535_); trivial.
% 21.54/21.77 apply (zenon_L506_); trivial.
% 21.54/21.77 (* end of lemma zenon_L536_ *)
% 21.54/21.77 assert (zenon_L537_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (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) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((op (e0) (e1)) = (e0)) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H204 zenon_H48 zenon_H77 zenon_H66 zenon_Ha0 zenon_H141 zenon_Hf0 zenon_H164 zenon_H104 zenon_H192 zenon_He4 zenon_H177 zenon_H190 zenon_H121 zenon_H129 zenon_H33 zenon_H196 zenon_H183 zenon_H23c zenon_H15d zenon_H236 zenon_H2c zenon_H13a zenon_H139 zenon_H23b zenon_H82 zenon_H1bf zenon_H201 zenon_Ha9 zenon_H1ec zenon_H131 zenon_H73 zenon_H163 zenon_H4e zenon_Hb6 zenon_H117 zenon_H3f zenon_H156 zenon_H13f zenon_H68 zenon_H140 zenon_H111 zenon_H13e zenon_H1c6 zenon_H1d8 zenon_H1fb zenon_H234 zenon_H1fe zenon_H11a zenon_H23d zenon_H1a8 zenon_H55 zenon_H13c zenon_Hfa zenon_H1bb zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H12e zenon_H195 zenon_H19d zenon_H1cb zenon_H1cd zenon_Hcc zenon_H1a2 zenon_H186 zenon_H65 zenon_H1f zenon_H1ef zenon_H125 zenon_H240 zenon_H2a.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 21.54/21.77 exact (zenon_H205 zenon_H2a).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.77 exact (zenon_H1f zenon_H1e).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.77 exact (zenon_H4c zenon_H47).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.77 apply (zenon_L65_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.77 apply (zenon_L94_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.77 exact (zenon_H4c zenon_H47).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.77 apply (zenon_L25_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.77 apply (zenon_L30_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.77 apply (zenon_L116_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.77 apply (zenon_L510_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.77 apply (zenon_L511_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.54/21.77 apply (zenon_L53_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.54/21.77 apply (zenon_L510_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.77 apply (zenon_L94_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.77 apply (zenon_L486_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.77 exact (zenon_H1bf zenon_H105).
% 21.54/21.77 apply (zenon_L512_); trivial.
% 21.54/21.77 apply (zenon_L532_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.77 apply (zenon_L27_); trivial.
% 21.54/21.77 apply (zenon_L516_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.77 exact (zenon_H1f zenon_H1e).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.77 exact (zenon_H4c zenon_H47).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.77 apply (zenon_L65_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.77 apply (zenon_L94_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.77 exact (zenon_H4c zenon_H47).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.77 apply (zenon_L492_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.77 apply (zenon_L30_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.54/21.77 apply (zenon_L147_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.54/21.77 apply (zenon_L519_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.54/21.77 apply (zenon_L34_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.77 apply (zenon_L94_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.77 apply (zenon_L486_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.77 exact (zenon_H1bf zenon_H105).
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.77 apply (zenon_L43_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.77 apply (zenon_L536_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.77 apply (zenon_L286_); trivial.
% 21.54/21.77 apply (zenon_L493_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.77 apply (zenon_L53_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.77 apply (zenon_L193_); trivial.
% 21.54/21.77 apply (zenon_L115_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.77 apply (zenon_L27_); trivial.
% 21.54/21.77 apply (zenon_L516_); trivial.
% 21.54/21.77 (* end of lemma zenon_L537_ *)
% 21.54/21.77 assert (zenon_L538_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_H121 zenon_H33 zenon_H9f zenon_H11a zenon_H10c zenon_H1a3 zenon_Hc4.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.54/21.77 apply (zenon_L245_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.54/21.77 apply (zenon_L79_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.54/21.77 exact (zenon_H1a3 zenon_Hbb).
% 21.54/21.77 exact (zenon_Hc4 zenon_Hc3).
% 21.54/21.77 (* end of lemma zenon_L538_ *)
% 21.54/21.77 assert (zenon_L539_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((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)) -> (~((e0) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.77 do 0 intro. intros zenon_Hfa zenon_H68 zenon_H186 zenon_H3f zenon_H156 zenon_H4e zenon_H25 zenon_H1ec zenon_H140 zenon_H1d8 zenon_H2a zenon_Ha0 zenon_H13e zenon_H1bf zenon_H104 zenon_H99 zenon_H131 zenon_H121 zenon_H33 zenon_H9f zenon_H11a zenon_H1a3 zenon_Hc4 zenon_H13c zenon_H160 zenon_H163 zenon_H93 zenon_H195.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.77 apply (zenon_L171_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.77 apply (zenon_L116_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.77 apply (zenon_L538_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.77 apply (zenon_L524_); trivial.
% 21.54/21.77 apply (zenon_L525_); trivial.
% 21.54/21.77 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.78 apply (zenon_L227_); trivial.
% 21.54/21.78 apply (zenon_L228_); trivial.
% 21.54/21.78 (* end of lemma zenon_L539_ *)
% 21.54/21.78 assert (zenon_L540_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H18d zenon_H9e zenon_Hb6 zenon_H234 zenon_H3f zenon_H93 zenon_H77 zenon_H120.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.54/21.78 apply (zenon_L115_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.54/21.78 apply (zenon_L484_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.54/21.78 apply (zenon_L218_); trivial.
% 21.54/21.78 exact (zenon_H120 zenon_H11f).
% 21.54/21.78 (* end of lemma zenon_L540_ *)
% 21.54/21.78 assert (zenon_L541_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H125 zenon_H77 zenon_H47 zenon_H68 zenon_H25 zenon_H94 zenon_H93 zenon_H160 zenon_Hbc.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.78 apply (zenon_L251_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.78 apply (zenon_L171_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.78 apply (zenon_L38_); trivial.
% 21.54/21.78 apply (zenon_L104_); trivial.
% 21.54/21.78 (* end of lemma zenon_L541_ *)
% 21.54/21.78 assert (zenon_L542_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((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 (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_Hb2 zenon_H186 zenon_H163 zenon_H160 zenon_H3f zenon_H156 zenon_H4e zenon_H1ec zenon_H73 zenon_Hfe zenon_H121 zenon_H33 zenon_H11a zenon_H1a3 zenon_Hc4 zenon_H13c zenon_Ha0 zenon_H25 zenon_Hb6 zenon_H54 zenon_H209.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.78 apply (zenon_L116_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.78 apply (zenon_L538_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.78 apply (zenon_L89_); trivial.
% 21.54/21.78 apply (zenon_L525_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.78 apply (zenon_L116_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.78 apply (zenon_L151_); trivial.
% 21.54/21.78 exact (zenon_H209 zenon_H9d).
% 21.54/21.78 (* end of lemma zenon_L542_ *)
% 21.54/21.78 assert (zenon_L543_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H121 zenon_H209 zenon_He0 zenon_Ha0 zenon_H1a3 zenon_Hc4.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.54/21.78 exact (zenon_H209 zenon_H9d).
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.54/21.78 apply (zenon_L107_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.54/21.78 exact (zenon_H1a3 zenon_Hbb).
% 21.54/21.78 exact (zenon_Hc4 zenon_Hc3).
% 21.54/21.78 (* end of lemma zenon_L543_ *)
% 21.54/21.78 assert (zenon_L544_ : (~((op (op (e3) (e3)) (op (e3) (e3))) = (op (e0) (e0)))) -> ((op (e3) (e3)) = (e0)) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H241 zenon_H167.
% 21.54/21.78 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H162].
% 21.54/21.78 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H162].
% 21.54/21.78 congruence.
% 21.54/21.78 exact (zenon_H162 zenon_H167).
% 21.54/21.78 exact (zenon_H162 zenon_H167).
% 21.54/21.78 (* end of lemma zenon_L544_ *)
% 21.54/21.78 assert (zenon_L545_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e0)))) -> ((op (e3) (e3)) = (e0)) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H242 zenon_H167.
% 21.54/21.78 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H162].
% 21.54/21.78 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.54/21.78 congruence.
% 21.54/21.78 apply zenon_Ha2. apply refl_equal.
% 21.54/21.78 exact (zenon_H162 zenon_H167).
% 21.54/21.78 (* end of lemma zenon_L545_ *)
% 21.54/21.78 assert (zenon_L546_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((e1) = (op (e3) (op (e3) (e3))))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H7e zenon_H167 zenon_H243.
% 21.54/21.78 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H244 | zenon_intro zenon_H245 ].
% 21.54/21.78 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e1) = (op (e3) (op (e3) (e3))))).
% 21.54/21.78 intro zenon_D_pnotp.
% 21.54/21.78 apply zenon_H243.
% 21.54/21.78 rewrite <- zenon_D_pnotp.
% 21.54/21.78 exact zenon_H244.
% 21.54/21.78 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H245].
% 21.54/21.78 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H246].
% 21.54/21.78 congruence.
% 21.54/21.78 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))).
% 21.54/21.78 intro zenon_D_pnotp.
% 21.54/21.78 apply zenon_H246.
% 21.54/21.78 rewrite <- zenon_D_pnotp.
% 21.54/21.78 exact zenon_H7e.
% 21.54/21.78 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.54/21.78 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H247].
% 21.54/21.78 congruence.
% 21.54/21.78 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H244 | zenon_intro zenon_H245 ].
% 21.54/21.78 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))).
% 21.54/21.78 intro zenon_D_pnotp.
% 21.54/21.78 apply zenon_H247.
% 21.54/21.78 rewrite <- zenon_D_pnotp.
% 21.54/21.78 exact zenon_H244.
% 21.54/21.78 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H245].
% 21.54/21.78 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H242].
% 21.54/21.78 congruence.
% 21.54/21.78 apply (zenon_L545_); trivial.
% 21.54/21.78 apply zenon_H245. apply refl_equal.
% 21.54/21.78 apply zenon_H245. apply refl_equal.
% 21.54/21.78 apply zenon_H4a. apply refl_equal.
% 21.54/21.78 apply zenon_H245. apply refl_equal.
% 21.54/21.78 apply zenon_H245. apply refl_equal.
% 21.54/21.78 (* end of lemma zenon_L546_ *)
% 21.54/21.78 assert (zenon_L547_ : ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H67 zenon_H7e zenon_H167.
% 21.54/21.78 apply (zenon_notand_s _ _ ax19); [ zenon_intro zenon_H249 | zenon_intro zenon_H248 ].
% 21.54/21.78 elim (classic ((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ].
% 21.54/21.78 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3)))) = ((e2) = (op (op (e3) (e3)) (op (e3) (e3))))).
% 21.54/21.78 intro zenon_D_pnotp.
% 21.54/21.78 apply zenon_H249.
% 21.54/21.78 rewrite <- zenon_D_pnotp.
% 21.54/21.78 exact zenon_H24a.
% 21.54/21.78 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24b].
% 21.54/21.78 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 21.54/21.78 congruence.
% 21.54/21.78 cut (((op (e0) (e0)) = (e2)) = ((op (op (e3) (e3)) (op (e3) (e3))) = (e2))).
% 21.54/21.78 intro zenon_D_pnotp.
% 21.54/21.78 apply zenon_H24c.
% 21.54/21.78 rewrite <- zenon_D_pnotp.
% 21.54/21.78 exact zenon_H67.
% 21.54/21.78 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.54/21.78 cut (((op (e0) (e0)) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24d].
% 21.54/21.78 congruence.
% 21.54/21.78 elim (classic ((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ].
% 21.54/21.78 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3)))) = ((op (e0) (e0)) = (op (op (e3) (e3)) (op (e3) (e3))))).
% 21.54/21.78 intro zenon_D_pnotp.
% 21.54/21.78 apply zenon_H24d.
% 21.54/21.78 rewrite <- zenon_D_pnotp.
% 21.54/21.78 exact zenon_H24a.
% 21.54/21.78 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24b].
% 21.54/21.78 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H241].
% 21.54/21.78 congruence.
% 21.54/21.78 apply (zenon_L544_); trivial.
% 21.54/21.78 apply zenon_H24b. apply refl_equal.
% 21.54/21.78 apply zenon_H24b. apply refl_equal.
% 21.54/21.78 apply zenon_H6a. apply refl_equal.
% 21.54/21.78 apply zenon_H24b. apply refl_equal.
% 21.54/21.78 apply zenon_H24b. apply refl_equal.
% 21.54/21.78 apply (zenon_notand_s _ _ zenon_H248); [ zenon_intro zenon_H20e | zenon_intro zenon_H243 ].
% 21.54/21.78 apply zenon_H20e. apply sym_equal. exact zenon_H167.
% 21.54/21.78 apply (zenon_L546_); trivial.
% 21.54/21.78 (* end of lemma zenon_L547_ *)
% 21.54/21.78 assert (zenon_L548_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H164 zenon_H48 zenon_Hc4 zenon_H1a3 zenon_Ha0 zenon_H209 zenon_H121 zenon_H31 zenon_H177 zenon_H67 zenon_H7e.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.78 apply (zenon_L456_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.78 apply (zenon_L543_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.78 apply (zenon_L406_); trivial.
% 21.54/21.78 apply (zenon_L547_); trivial.
% 21.54/21.78 (* end of lemma zenon_L548_ *)
% 21.54/21.78 assert (zenon_L549_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H19a zenon_H48 zenon_H155 zenon_Ha5 zenon_Ha0 zenon_H93 zenon_H68 zenon_H67 zenon_H7e.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.54/21.78 apply (zenon_L246_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.54/21.78 apply (zenon_L90_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.54/21.78 apply (zenon_L158_); trivial.
% 21.54/21.78 apply (zenon_L547_); trivial.
% 21.54/21.78 (* end of lemma zenon_L549_ *)
% 21.54/21.78 assert (zenon_L550_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H13c zenon_H25 zenon_Hc4 zenon_H177 zenon_H11a zenon_H209 zenon_H121 zenon_Hfe zenon_H73 zenon_H19a zenon_H48 zenon_H155 zenon_Ha0 zenon_H93 zenon_H68 zenon_H67 zenon_H7e.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.78 apply (zenon_L116_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.78 apply (zenon_L393_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.78 apply (zenon_L89_); trivial.
% 21.54/21.78 apply (zenon_L549_); trivial.
% 21.54/21.78 (* end of lemma zenon_L550_ *)
% 21.54/21.78 assert (zenon_L551_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H13a zenon_H195 zenon_H163 zenon_H160 zenon_H33 zenon_H131 zenon_H99 zenon_H104 zenon_H1bf zenon_H13e zenon_H164 zenon_H1a3 zenon_H140 zenon_Hfa zenon_H2a zenon_H7e zenon_H67 zenon_H68 zenon_Ha0 zenon_H155 zenon_H48 zenon_H19a zenon_H73 zenon_H121 zenon_H209 zenon_H11a zenon_H177 zenon_Hc4 zenon_H25 zenon_H13c zenon_H18d zenon_Hb6 zenon_H234 zenon_H3f zenon_H93 zenon_H77 zenon_H120.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.78 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.78 apply (zenon_L171_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.78 apply (zenon_L116_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.78 apply (zenon_L538_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.78 apply (zenon_L548_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.78 apply (zenon_L162_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.78 apply (zenon_L265_); trivial.
% 21.54/21.78 apply (zenon_L523_); trivial.
% 21.54/21.78 apply (zenon_L549_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.78 apply (zenon_L227_); trivial.
% 21.54/21.78 apply (zenon_L228_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.78 apply (zenon_L53_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.78 apply (zenon_L550_); trivial.
% 21.54/21.78 apply (zenon_L540_); trivial.
% 21.54/21.78 (* end of lemma zenon_L551_ *)
% 21.54/21.78 assert (zenon_L552_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H11a zenon_H3f zenon_H7f.
% 21.54/21.78 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 21.54/21.78 intro zenon_D_pnotp.
% 21.54/21.78 apply zenon_H11a.
% 21.54/21.78 rewrite <- zenon_D_pnotp.
% 21.54/21.78 exact zenon_H3f.
% 21.54/21.78 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H80].
% 21.54/21.78 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 21.54/21.78 congruence.
% 21.54/21.78 apply zenon_H10f. apply refl_equal.
% 21.54/21.78 apply zenon_H80. apply sym_equal. exact zenon_H7f.
% 21.54/21.78 (* end of lemma zenon_L552_ *)
% 21.54/21.78 assert (zenon_L553_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H12e zenon_H48 zenon_H34 zenon_H3f zenon_H11a zenon_H160 zenon_H77 zenon_H120.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.78 apply (zenon_L456_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.78 apply (zenon_L552_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.78 apply (zenon_L367_); trivial.
% 21.54/21.78 exact (zenon_H120 zenon_H11f).
% 21.54/21.78 (* end of lemma zenon_L553_ *)
% 21.54/21.78 assert (zenon_L554_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((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 (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H1fe zenon_H19d zenon_H177 zenon_H2a zenon_H68 zenon_H13a zenon_H195 zenon_H163 zenon_H33 zenon_H131 zenon_H99 zenon_H104 zenon_H13e zenon_H164 zenon_H1a3 zenon_H140 zenon_Hfa zenon_Ha0 zenon_H19a zenon_H73 zenon_H121 zenon_H209 zenon_Hc4 zenon_H13c zenon_H18d zenon_Hb6 zenon_H234 zenon_H139 zenon_H1d8 zenon_H1ec zenon_H4e zenon_H156 zenon_H186 zenon_Hb2 zenon_H125 zenon_H94 zenon_Hbc zenon_H82 zenon_H196 zenon_H15d zenon_H93 zenon_H1bf zenon_Hf0 zenon_H13f zenon_H12e zenon_H48 zenon_H3f zenon_H11a zenon_H160 zenon_H77 zenon_H120.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.78 apply (zenon_L161_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.78 apply (zenon_L352_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.78 apply (zenon_L65_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.78 apply (zenon_L539_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.78 apply (zenon_L53_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.78 apply (zenon_L95_); trivial.
% 21.54/21.78 apply (zenon_L540_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.78 apply (zenon_L541_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.78 apply (zenon_L25_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.78 apply (zenon_L539_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.78 apply (zenon_L53_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.78 apply (zenon_L542_); trivial.
% 21.54/21.78 apply (zenon_L115_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.78 apply (zenon_L551_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.78 apply (zenon_L147_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.78 apply (zenon_L122_); trivial.
% 21.54/21.78 apply (zenon_L98_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.78 apply (zenon_L526_); trivial.
% 21.54/21.78 apply (zenon_L553_); trivial.
% 21.54/21.78 (* end of lemma zenon_L554_ *)
% 21.54/21.78 assert (zenon_L555_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H93 zenon_H77 zenon_H120.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.54/21.78 apply (zenon_L246_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.54/21.78 apply (zenon_L413_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.54/21.78 apply (zenon_L218_); trivial.
% 21.54/21.78 exact (zenon_H120 zenon_H11f).
% 21.54/21.78 (* end of lemma zenon_L555_ *)
% 21.54/21.78 assert (zenon_L556_ : ((op (e3) (e3)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H167 zenon_He0 zenon_H1b7.
% 21.54/21.78 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.54/21.78 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 21.54/21.78 intro zenon_D_pnotp.
% 21.54/21.78 apply zenon_H1b7.
% 21.54/21.78 rewrite <- zenon_D_pnotp.
% 21.54/21.78 exact zenon_H12a.
% 21.54/21.78 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.78 cut (((op (e3) (e3)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1b8].
% 21.54/21.78 congruence.
% 21.54/21.78 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e3) (e1)))).
% 21.54/21.78 intro zenon_D_pnotp.
% 21.54/21.78 apply zenon_H1b8.
% 21.54/21.78 rewrite <- zenon_D_pnotp.
% 21.54/21.78 exact zenon_H167.
% 21.54/21.78 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 21.54/21.78 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.78 congruence.
% 21.54/21.78 apply zenon_H12b. apply refl_equal.
% 21.54/21.78 apply zenon_H1f2. apply sym_equal. exact zenon_He0.
% 21.54/21.78 apply zenon_H12b. apply refl_equal.
% 21.54/21.78 apply zenon_H12b. apply refl_equal.
% 21.54/21.78 (* end of lemma zenon_L556_ *)
% 21.54/21.78 assert (zenon_L557_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H19a zenon_H77 zenon_H1b4 zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H181 zenon_H120 zenon_H20f zenon_H1bb zenon_H93 zenon_H68 zenon_He0 zenon_H1b7.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.54/21.78 apply (zenon_L555_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.54/21.78 apply (zenon_L422_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.54/21.78 apply (zenon_L158_); trivial.
% 21.54/21.78 apply (zenon_L556_); trivial.
% 21.54/21.78 (* end of lemma zenon_L557_ *)
% 21.54/21.78 assert (zenon_L558_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H12e zenon_H67 zenon_H209 zenon_Hbc zenon_H7d zenon_H167 zenon_H18a zenon_H212 zenon_H160 zenon_H77 zenon_H120.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.78 apply (zenon_L547_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.78 apply (zenon_L417_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.78 apply (zenon_L367_); trivial.
% 21.54/21.78 exact (zenon_H120 zenon_H11f).
% 21.54/21.78 (* end of lemma zenon_L558_ *)
% 21.54/21.78 assert (zenon_L559_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H164 zenon_H25 zenon_H179 zenon_H1b7 zenon_H68 zenon_H93 zenon_H1bb zenon_H20f zenon_H181 zenon_Hc4 zenon_H18d zenon_H48 zenon_H129 zenon_H1b4 zenon_H19a zenon_H31 zenon_H177 zenon_H12e zenon_H67 zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H160 zenon_H77 zenon_H120.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.78 apply (zenon_L297_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.78 apply (zenon_L557_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.78 apply (zenon_L406_); trivial.
% 21.54/21.78 apply (zenon_L558_); trivial.
% 21.54/21.78 (* end of lemma zenon_L559_ *)
% 21.54/21.78 assert (zenon_L560_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H24e zenon_H1b7 zenon_H209 zenon_Hbc zenon_H7d zenon_H167 zenon_H18a zenon_H212 zenon_H160 zenon_Hbb zenon_H1cd.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_He0 | zenon_intro zenon_H24f ].
% 21.54/21.78 apply (zenon_L556_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H7f | zenon_intro zenon_H250 ].
% 21.54/21.78 apply (zenon_L417_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H171 | zenon_intro zenon_Hac ].
% 21.54/21.78 apply (zenon_L240_); trivial.
% 21.54/21.78 apply (zenon_L360_); trivial.
% 21.54/21.78 (* end of lemma zenon_L560_ *)
% 21.54/21.78 assert (zenon_L561_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H121 zenon_H11a zenon_H10c zenon_H1cd zenon_H160 zenon_H212 zenon_H18a zenon_H167 zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_Hc4.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.54/21.78 exact (zenon_H209 zenon_H9d).
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.54/21.78 apply (zenon_L79_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.54/21.78 apply (zenon_L560_); trivial.
% 21.54/21.78 exact (zenon_Hc4 zenon_Hc3).
% 21.54/21.78 (* end of lemma zenon_L561_ *)
% 21.54/21.78 assert (zenon_L562_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H164 zenon_H12e zenon_H68 zenon_H93 zenon_H1bb zenon_H20f zenon_H120 zenon_H181 zenon_H18d zenon_H48 zenon_H129 zenon_H1b4 zenon_H77 zenon_H19a zenon_H14c zenon_H104 zenon_H121 zenon_H11a zenon_H10c zenon_H1cd zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_Hc4.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.78 apply (zenon_L528_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.78 apply (zenon_L557_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.78 apply (zenon_L257_); trivial.
% 21.54/21.78 apply (zenon_L561_); trivial.
% 21.54/21.78 (* end of lemma zenon_L562_ *)
% 21.54/21.78 assert (zenon_L563_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H19a zenon_H77 zenon_H1b4 zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H181 zenon_H120 zenon_H20f zenon_H1bb zenon_H93 zenon_H68 zenon_H11d zenon_H1cb.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.54/21.78 apply (zenon_L555_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.54/21.78 apply (zenon_L422_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.54/21.78 apply (zenon_L158_); trivial.
% 21.54/21.78 apply (zenon_L266_); trivial.
% 21.54/21.78 (* end of lemma zenon_L563_ *)
% 21.54/21.78 assert (zenon_L564_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e3))) -> (((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) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H1fe zenon_H19d zenon_H196 zenon_H177 zenon_H2a zenon_H68 zenon_Hfa zenon_H186 zenon_H156 zenon_H4e zenon_H1ec zenon_H140 zenon_H1d8 zenon_Ha0 zenon_H13e zenon_H104 zenon_H99 zenon_H131 zenon_H179 zenon_H24e zenon_H1b7 zenon_H1cd zenon_H11a zenon_H121 zenon_H164 zenon_H19a zenon_H1b4 zenon_H18d zenon_H181 zenon_H20f zenon_H1cb zenon_H13c zenon_H163 zenon_H195 zenon_H139 zenon_H1bf zenon_H3f zenon_Hf0 zenon_H13f zenon_H12e zenon_H48 zenon_Hc4 zenon_H93 zenon_H129 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1bb zenon_H160 zenon_H77 zenon_H120.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.78 apply (zenon_L161_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.78 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.78 apply (zenon_L171_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.78 apply (zenon_L116_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.78 apply (zenon_L559_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.78 apply (zenon_L274_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.78 apply (zenon_L562_); trivial.
% 21.54/21.78 apply (zenon_L563_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.78 apply (zenon_L524_); trivial.
% 21.54/21.78 apply (zenon_L525_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.78 apply (zenon_L227_); trivial.
% 21.54/21.78 apply (zenon_L228_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.78 apply (zenon_L147_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.78 apply (zenon_L122_); trivial.
% 21.54/21.78 apply (zenon_L167_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.78 apply (zenon_L526_); trivial.
% 21.54/21.78 apply (zenon_L528_); trivial.
% 21.54/21.78 (* end of lemma zenon_L564_ *)
% 21.54/21.78 assert (zenon_L565_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (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 (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_Hc2 zenon_H19d zenon_H2a zenon_H139 zenon_H196 zenon_H68 zenon_H13c zenon_H156 zenon_H3f zenon_H163 zenon_H186 zenon_H1ec zenon_H1d8 zenon_H13e zenon_H131 zenon_H99 zenon_H1bf zenon_H164 zenon_H212 zenon_H209 zenon_H160 zenon_Hbc zenon_H7d zenon_H18a zenon_H12e zenon_H177 zenon_H18d zenon_H120 zenon_H77 zenon_H1b4 zenon_H20f zenon_H129 zenon_H93 zenon_H1bb zenon_H48 zenon_H181 zenon_H1b7 zenon_H19a zenon_H179 zenon_H4e zenon_H11a zenon_H24e zenon_H1cd zenon_H121 zenon_H104 zenon_H1cb zenon_H140 zenon_Ha0 zenon_H195 zenon_Hfa zenon_H13f zenon_Hf0 zenon_H1fe.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.54/21.78 apply (zenon_L564_); trivial.
% 21.54/21.78 apply (zenon_L564_); trivial.
% 21.54/21.78 (* end of lemma zenon_L565_ *)
% 21.54/21.78 assert (zenon_L566_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H177 zenon_H153 zenon_H106.
% 21.54/21.78 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 21.54/21.78 intro zenon_D_pnotp.
% 21.54/21.78 apply zenon_H177.
% 21.54/21.78 rewrite <- zenon_D_pnotp.
% 21.54/21.78 exact zenon_H153.
% 21.54/21.78 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 21.54/21.78 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 21.54/21.78 congruence.
% 21.54/21.78 apply zenon_H135. apply refl_equal.
% 21.54/21.78 apply zenon_H107. apply sym_equal. exact zenon_H106.
% 21.54/21.78 (* end of lemma zenon_L566_ *)
% 21.54/21.78 assert (zenon_L567_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e3)) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H15d zenon_H4c zenon_H48 zenon_H2a zenon_H120 zenon_H177 zenon_H11a zenon_H3f zenon_H9d zenon_H12e zenon_Hb6 zenon_H9e.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.78 exact (zenon_H4c zenon_H47).
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.78 apply (zenon_L65_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.78 apply (zenon_L134_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.78 apply (zenon_L552_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.78 apply (zenon_L566_); trivial.
% 21.54/21.78 exact (zenon_H120 zenon_H11f).
% 21.54/21.78 apply (zenon_L115_); trivial.
% 21.54/21.78 (* end of lemma zenon_L567_ *)
% 21.54/21.78 assert (zenon_L568_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H1cf zenon_H153 zenon_H156 zenon_Hef zenon_H8b zenon_H12e zenon_H48 zenon_H34 zenon_H3f zenon_H11a zenon_H77 zenon_H120.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.78 apply (zenon_L94_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.78 apply (zenon_L100_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.78 exact (zenon_H8b zenon_H8a).
% 21.54/21.78 apply (zenon_L553_); trivial.
% 21.54/21.78 (* end of lemma zenon_L568_ *)
% 21.54/21.78 assert (zenon_L569_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H201 zenon_H120 zenon_H77 zenon_H11a zenon_H34 zenon_H48 zenon_H12e zenon_H8b zenon_Hef zenon_H1cf zenon_H156 zenon_H3f zenon_H1bf zenon_Hb6 zenon_Hbb.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.78 apply (zenon_L568_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.78 apply (zenon_L486_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.78 exact (zenon_H1bf zenon_H105).
% 21.54/21.78 apply (zenon_L363_); trivial.
% 21.54/21.78 (* end of lemma zenon_L569_ *)
% 21.54/21.78 assert (zenon_L570_ : ((op (e3) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H17c zenon_Hf7 zenon_H20f.
% 21.54/21.78 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.54/21.78 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 21.54/21.78 intro zenon_D_pnotp.
% 21.54/21.78 apply zenon_H20f.
% 21.54/21.78 rewrite <- zenon_D_pnotp.
% 21.54/21.78 exact zenon_H12a.
% 21.54/21.78 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.78 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H210].
% 21.54/21.78 congruence.
% 21.54/21.78 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e1) (e3)))).
% 21.54/21.78 intro zenon_D_pnotp.
% 21.54/21.78 apply zenon_H210.
% 21.54/21.78 rewrite <- zenon_D_pnotp.
% 21.54/21.78 exact zenon_H17c.
% 21.54/21.78 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 21.54/21.78 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.78 congruence.
% 21.54/21.78 apply zenon_H12b. apply refl_equal.
% 21.54/21.78 apply zenon_Hf8. apply sym_equal. exact zenon_Hf7.
% 21.54/21.78 apply zenon_H12b. apply refl_equal.
% 21.54/21.78 apply zenon_H12b. apply refl_equal.
% 21.54/21.78 (* end of lemma zenon_L570_ *)
% 21.54/21.78 assert (zenon_L571_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H1bb zenon_H10c zenon_H120 zenon_H20f zenon_Hf7 zenon_Hc0 zenon_H129.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.54/21.78 apply (zenon_L294_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.54/21.78 exact (zenon_H120 zenon_H11f).
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.54/21.78 apply (zenon_L570_); trivial.
% 21.54/21.78 apply (zenon_L190_); trivial.
% 21.54/21.78 (* end of lemma zenon_L571_ *)
% 21.54/21.78 assert (zenon_L572_ : (((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 (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e1)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H1c3 zenon_H77 zenon_H155 zenon_H129 zenon_Hc0 zenon_H20f zenon_H120 zenon_H10c zenon_H1bb zenon_H189 zenon_H6d zenon_H160 zenon_H1cb.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.54/21.78 apply (zenon_L98_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.54/21.78 apply (zenon_L571_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.54/21.78 apply (zenon_L439_); trivial.
% 21.54/21.78 apply (zenon_L236_); trivial.
% 21.54/21.78 (* end of lemma zenon_L572_ *)
% 21.54/21.78 assert (zenon_L573_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H1cf zenon_H153 zenon_H4e zenon_H76 zenon_H8b zenon_H18d zenon_H1cb zenon_H6d zenon_H189 zenon_H1bb zenon_H10c zenon_H20f zenon_Hc0 zenon_H129 zenon_H77 zenon_H1c3 zenon_H234 zenon_H3f zenon_Hb9 zenon_Hb6 zenon_H120.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.78 apply (zenon_L94_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.78 apply (zenon_L83_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.78 exact (zenon_H8b zenon_H8a).
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.54/21.78 apply (zenon_L572_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.54/21.78 apply (zenon_L484_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.54/21.78 apply (zenon_L182_); trivial.
% 21.54/21.78 exact (zenon_H120 zenon_H11f).
% 21.54/21.78 (* end of lemma zenon_L573_ *)
% 21.54/21.78 assert (zenon_L574_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (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 (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H1c6 zenon_Ha0 zenon_H2a zenon_H120 zenon_Hb6 zenon_Hb9 zenon_H3f zenon_H234 zenon_H1c3 zenon_H77 zenon_H129 zenon_Hc0 zenon_H20f zenon_H1bb zenon_H189 zenon_H1cb zenon_H18d zenon_H8b zenon_H76 zenon_H4e zenon_H153 zenon_H1cf zenon_Ha9 zenon_H6d zenon_Hbb zenon_H1cd.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.54/21.78 apply (zenon_L53_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.54/21.78 apply (zenon_L573_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.54/21.78 apply (zenon_L289_); trivial.
% 21.54/21.78 apply (zenon_L360_); trivial.
% 21.54/21.78 (* end of lemma zenon_L574_ *)
% 21.54/21.78 assert (zenon_L575_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H201 zenon_H1cd zenon_H171 zenon_H8b zenon_H68 zenon_H77 zenon_H1cf zenon_Hf3 zenon_H48 zenon_H1bf zenon_Hb6 zenon_Hbb.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.78 apply (zenon_L241_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.78 apply (zenon_L117_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.78 exact (zenon_H1bf zenon_H105).
% 21.54/21.78 apply (zenon_L363_); trivial.
% 21.54/21.78 (* end of lemma zenon_L575_ *)
% 21.54/21.78 assert (zenon_L576_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H1c6 zenon_Ha0 zenon_H2a zenon_H129 zenon_Hc0 zenon_Hf7 zenon_H20f zenon_H120 zenon_H1bb zenon_Ha9 zenon_H6d zenon_Hbb zenon_H1cd.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.54/21.78 apply (zenon_L53_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.54/21.78 apply (zenon_L571_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.54/21.78 apply (zenon_L289_); trivial.
% 21.54/21.78 apply (zenon_L360_); trivial.
% 21.54/21.78 (* end of lemma zenon_L576_ *)
% 21.54/21.78 assert (zenon_L577_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_Hfa zenon_H1cf zenon_H153 zenon_H4e zenon_H8b zenon_H18d zenon_H1cb zenon_H189 zenon_H77 zenon_H1c3 zenon_H234 zenon_H3f zenon_Hb9 zenon_Hb6 zenon_Hf0 zenon_Hf3 zenon_H68 zenon_H1c6 zenon_Ha0 zenon_H2a zenon_H129 zenon_Hc0 zenon_H20f zenon_H120 zenon_H1bb zenon_Ha9 zenon_H6d zenon_Hbb zenon_H1cd.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.78 apply (zenon_L574_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.78 apply (zenon_L61_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.78 apply (zenon_L62_); trivial.
% 21.54/21.78 apply (zenon_L576_); trivial.
% 21.54/21.78 (* end of lemma zenon_L577_ *)
% 21.54/21.78 assert (zenon_L578_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.78 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_H48 zenon_H136 zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H72 zenon_H163 zenon_H9f zenon_H18d zenon_Hbb zenon_Hb6 zenon_H120.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.78 apply (zenon_L456_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.54/21.78 apply (zenon_L449_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.54/21.78 apply (zenon_L157_); trivial.
% 21.54/21.78 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.54/21.78 apply (zenon_L182_); trivial.
% 21.54/21.79 exact (zenon_H120 zenon_H11f).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.79 apply (zenon_L363_); trivial.
% 21.54/21.79 exact (zenon_H120 zenon_H11f).
% 21.54/21.79 (* end of lemma zenon_L578_ *)
% 21.54/21.79 assert (zenon_L579_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e3)) -> (((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))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H13b zenon_H179 zenon_H173 zenon_Hfa zenon_H1cf zenon_H153 zenon_H4e zenon_H8b zenon_H1cb zenon_H189 zenon_H1c3 zenon_H234 zenon_H3f zenon_Hf0 zenon_Hb6 zenon_H18d zenon_H9f zenon_H163 zenon_H77 zenon_H34 zenon_H68 zenon_H183 zenon_H48 zenon_Hb9 zenon_H12e zenon_H1c6 zenon_Ha0 zenon_H2a zenon_H129 zenon_Hc0 zenon_H20f zenon_H120 zenon_H1bb zenon_Ha9 zenon_H6d zenon_Hbb zenon_H1cd.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.79 apply (zenon_L297_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.79 apply (zenon_L272_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.79 apply (zenon_L577_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.79 apply (zenon_L574_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.79 apply (zenon_L61_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.79 apply (zenon_L578_); trivial.
% 21.54/21.79 apply (zenon_L576_); trivial.
% 21.54/21.79 (* end of lemma zenon_L579_ *)
% 21.54/21.79 assert (zenon_L580_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((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 (e2) (e3)) = (e3)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H16a zenon_H7b zenon_H1cd zenon_Hbb zenon_Ha9 zenon_H1bb zenon_H120 zenon_H20f zenon_Hc0 zenon_H129 zenon_H2a zenon_Ha0 zenon_H1c6 zenon_H12e zenon_Hb9 zenon_H48 zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H163 zenon_H9f zenon_H18d zenon_Hb6 zenon_Hf0 zenon_H3f zenon_H234 zenon_H1c3 zenon_H189 zenon_H1cb zenon_H4e zenon_H153 zenon_H1cf zenon_Hfa zenon_H173 zenon_H179 zenon_H13b zenon_H8b zenon_Hf7 zenon_H195.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.54/21.79 exact (zenon_H7b zenon_H65).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.54/21.79 apply (zenon_L579_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.54/21.79 exact (zenon_H8b zenon_H8a).
% 21.54/21.79 apply (zenon_L228_); trivial.
% 21.54/21.79 (* end of lemma zenon_L580_ *)
% 21.54/21.79 assert (zenon_L581_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H117 zenon_Hb6 zenon_H54 zenon_H10c zenon_Hf0 zenon_H14c zenon_Ha0 zenon_H9e zenon_H196.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.79 apply (zenon_L151_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.79 apply (zenon_L74_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.79 apply (zenon_L278_); trivial.
% 21.54/21.79 apply (zenon_L154_); trivial.
% 21.54/21.79 (* end of lemma zenon_L581_ *)
% 21.54/21.79 assert (zenon_L582_ : (((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)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H117 zenon_Hb6 zenon_H54 zenon_H6d zenon_H8a zenon_Ha9 zenon_Ha0 zenon_H115.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.79 apply (zenon_L151_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.79 apply (zenon_L289_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.79 apply (zenon_L153_); trivial.
% 21.54/21.79 apply (zenon_L77_); trivial.
% 21.54/21.79 (* end of lemma zenon_L582_ *)
% 21.54/21.79 assert (zenon_L583_ : (((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 (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H12e zenon_H9d zenon_Hb6 zenon_H3f zenon_H11a zenon_H160 zenon_H77 zenon_H120.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.79 apply (zenon_L134_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.79 apply (zenon_L552_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.79 apply (zenon_L367_); trivial.
% 21.54/21.79 exact (zenon_H120 zenon_H11f).
% 21.54/21.79 (* end of lemma zenon_L583_ *)
% 21.54/21.79 assert (zenon_L584_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((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)))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H1cf zenon_H1d5 zenon_H67 zenon_Hf7 zenon_H186 zenon_H115 zenon_Ha0 zenon_Ha9 zenon_H6d zenon_H54 zenon_H117 zenon_H12e zenon_H9d zenon_Hb6 zenon_H3f zenon_H11a zenon_H77 zenon_H120.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.79 apply (zenon_L252_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.79 apply (zenon_L438_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.79 apply (zenon_L582_); trivial.
% 21.54/21.79 apply (zenon_L583_); trivial.
% 21.54/21.79 (* end of lemma zenon_L584_ *)
% 21.54/21.79 assert (zenon_L585_ : (((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 (e3) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H24e zenon_H2a zenon_H192 zenon_H106 zenon_H1cd zenon_H1b7 zenon_H17c zenon_H9d zenon_H7d.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_He0 | zenon_intro zenon_H24f ].
% 21.54/21.79 apply (zenon_L292_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H7f | zenon_intro zenon_H250 ].
% 21.54/21.79 apply (zenon_L331_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H171 | zenon_intro zenon_Hac ].
% 21.54/21.79 apply (zenon_L188_); trivial.
% 21.54/21.79 apply (zenon_L44_); trivial.
% 21.54/21.79 (* end of lemma zenon_L585_ *)
% 21.54/21.79 assert (zenon_L586_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H82 zenon_H4c zenon_H3f zenon_H23c zenon_H48 zenon_H2d zenon_Hb6 zenon_H9d.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.79 exact (zenon_H4c zenon_H47).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.79 apply (zenon_L492_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.79 apply (zenon_L217_); trivial.
% 21.54/21.79 apply (zenon_L134_); trivial.
% 21.54/21.79 (* end of lemma zenon_L586_ *)
% 21.54/21.79 assert (zenon_L587_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e3)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H117 zenon_H109 zenon_H9d zenon_Ha0 zenon_Hdd zenon_H131 zenon_H133 zenon_H9e zenon_H196.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.79 apply (zenon_L73_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.79 apply (zenon_L152_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.79 apply (zenon_L259_); trivial.
% 21.54/21.79 apply (zenon_L154_); trivial.
% 21.54/21.79 (* end of lemma zenon_L587_ *)
% 21.54/21.79 assert (zenon_L588_ : ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 21.54/21.79 do 0 intro. intros zenon_Hcc zenon_H1d8 zenon_H1fb zenon_H48 zenon_H2a zenon_H77 zenon_H234 zenon_H55 zenon_H189 zenon_H6d zenon_H7d zenon_H3f zenon_H1cd zenon_Hac.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.54/21.79 apply (zenon_L2_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.54/21.79 apply (zenon_L482_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.54/21.79 apply (zenon_L315_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.54/21.79 apply (zenon_L317_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.54/21.79 apply (zenon_L318_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.54/21.79 apply (zenon_L11_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.54/21.79 apply (zenon_L319_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.54/21.79 apply (zenon_L485_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.54/21.79 apply (zenon_L435_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.54/21.79 apply (zenon_L522_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.54/21.79 apply (zenon_L37_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.54/21.79 apply (zenon_L458_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.54/21.79 apply (zenon_L387_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.54/21.79 apply (zenon_L531_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.54/21.79 apply (zenon_L388_); trivial.
% 21.54/21.79 apply (zenon_L51_); trivial.
% 21.54/21.79 (* end of lemma zenon_L588_ *)
% 21.54/21.79 assert (zenon_L589_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((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)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H15d zenon_H4c zenon_H48 zenon_H77 zenon_H13a zenon_H33 zenon_H9d zenon_Ha0 zenon_H2a zenon_Ha9 zenon_H66 zenon_Hb6.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.79 exact (zenon_H4c zenon_H47).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.79 apply (zenon_L65_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.79 apply (zenon_L94_); trivial.
% 21.54/21.79 apply (zenon_L502_); trivial.
% 21.54/21.79 (* end of lemma zenon_L589_ *)
% 21.54/21.79 assert (zenon_L590_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H236 zenon_H1f zenon_Hb6 zenon_H66 zenon_Ha9 zenon_Ha0 zenon_H9d zenon_H33 zenon_H13a zenon_H77 zenon_H48 zenon_H4c zenon_H15d zenon_H237 zenon_H238.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 21.54/21.79 exact (zenon_H1f zenon_H1e).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 21.54/21.79 apply (zenon_L589_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 21.54/21.79 exact (zenon_H237 zenon_H31).
% 21.54/21.79 exact (zenon_H238 zenon_H38).
% 21.54/21.79 (* end of lemma zenon_L590_ *)
% 21.54/21.79 assert (zenon_L591_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((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)))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H1cf zenon_H1d5 zenon_H67 zenon_Hf3 zenon_H68 zenon_H115 zenon_Ha0 zenon_Ha9 zenon_H6d zenon_H54 zenon_H117 zenon_H12e zenon_H9d zenon_Hb6 zenon_H3f zenon_H11a zenon_H77 zenon_H120.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.79 apply (zenon_L252_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.79 apply (zenon_L62_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.79 apply (zenon_L582_); trivial.
% 21.54/21.79 apply (zenon_L583_); trivial.
% 21.54/21.79 (* end of lemma zenon_L591_ *)
% 21.54/21.79 assert (zenon_L592_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H117 zenon_H109 zenon_H9d zenon_Ha9 zenon_H6d zenon_H14c zenon_Ha0 zenon_H115.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.79 apply (zenon_L73_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.79 apply (zenon_L289_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.79 apply (zenon_L278_); trivial.
% 21.54/21.79 apply (zenon_L77_); trivial.
% 21.54/21.79 (* end of lemma zenon_L592_ *)
% 21.54/21.79 assert (zenon_L593_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H141 zenon_H196 zenon_H9e zenon_Hf0 zenon_H10c zenon_H140 zenon_H237 zenon_H120 zenon_H77 zenon_H11a zenon_H3f zenon_Hb6 zenon_H12e zenon_H54 zenon_H68 zenon_H67 zenon_H1d5 zenon_H1cf zenon_Ha0 zenon_H6d zenon_Ha9 zenon_H9d zenon_H109 zenon_H117 zenon_Hbc zenon_H34.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.79 apply (zenon_L359_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.79 apply (zenon_L54_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.79 apply (zenon_L581_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.79 exact (zenon_H237 zenon_H31).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.79 apply (zenon_L591_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.79 apply (zenon_L592_); trivial.
% 21.54/21.79 apply (zenon_L328_); trivial.
% 21.54/21.79 (* end of lemma zenon_L593_ *)
% 21.54/21.79 assert (zenon_L594_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H1c6 zenon_H2a zenon_H34 zenon_Hbc zenon_H117 zenon_H109 zenon_Ha0 zenon_H133 zenon_H237 zenon_H140 zenon_Hb6 zenon_H54 zenon_Hf0 zenon_H9e zenon_H196 zenon_H131 zenon_H48 zenon_H141 zenon_Ha9 zenon_H6d zenon_H9d zenon_H7d.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.54/21.79 apply (zenon_L53_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.79 apply (zenon_L217_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.79 apply (zenon_L587_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.79 apply (zenon_L581_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.79 exact (zenon_H237 zenon_H31).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.79 apply (zenon_L162_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.79 apply (zenon_L592_); trivial.
% 21.54/21.79 apply (zenon_L328_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.54/21.79 apply (zenon_L289_); trivial.
% 21.54/21.79 apply (zenon_L44_); trivial.
% 21.54/21.79 (* end of lemma zenon_L594_ *)
% 21.54/21.79 assert (zenon_L595_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.54/21.79 do 0 intro. intros zenon_Hb2 zenon_Ha4 zenon_Ha0 zenon_H25 zenon_H1ef zenon_H110 zenon_Hb6 zenon_H7e.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.79 exact (zenon_Ha4 zenon_H9f).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.79 apply (zenon_L116_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.79 apply (zenon_L282_); trivial.
% 21.54/21.79 apply (zenon_L134_); trivial.
% 21.54/21.79 (* end of lemma zenon_L595_ *)
% 21.54/21.79 assert (zenon_L596_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Ha0 zenon_H2a zenon_H111 zenon_H110 zenon_Hb6 zenon_H155.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.79 exact (zenon_Ha4 zenon_H9f).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.79 apply (zenon_L53_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.79 apply (zenon_L75_); trivial.
% 21.54/21.79 apply (zenon_L115_); trivial.
% 21.54/21.79 (* end of lemma zenon_L596_ *)
% 21.54/21.79 assert (zenon_L597_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 21.54/21.79 do 0 intro. intros zenon_Hb2 zenon_Ha4 zenon_Ha0 zenon_H25 zenon_H1ef zenon_H110 zenon_Ha9 zenon_H102.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.54/21.79 exact (zenon_Ha4 zenon_H9f).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.54/21.79 apply (zenon_L116_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.54/21.79 apply (zenon_L282_); trivial.
% 21.54/21.79 apply (zenon_L91_); trivial.
% 21.54/21.79 (* end of lemma zenon_L597_ *)
% 21.54/21.79 assert (zenon_L598_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_H173 zenon_H10c zenon_Hb6 zenon_H153 zenon_Ha9 zenon_Hf6.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.79 exact (zenon_Ha4 zenon_H9f).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.79 apply (zenon_L120_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.79 apply (zenon_L95_); trivial.
% 21.54/21.79 apply (zenon_L92_); trivial.
% 21.54/21.79 (* end of lemma zenon_L598_ *)
% 21.54/21.79 assert (zenon_L599_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H1c3 zenon_Ha9 zenon_H153 zenon_Hb6 zenon_H10c zenon_H173 zenon_Ha4 zenon_H13a zenon_H72 zenon_H186 zenon_H128 zenon_H77 zenon_H171 zenon_H1b7.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.54/21.79 apply (zenon_L598_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.54/21.79 apply (zenon_L438_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.54/21.79 apply (zenon_L218_); trivial.
% 21.54/21.79 apply (zenon_L188_); trivial.
% 21.54/21.79 (* end of lemma zenon_L599_ *)
% 21.54/21.79 assert (zenon_L600_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Ha0 zenon_H2a zenon_Hb6 zenon_H153 zenon_Ha5 zenon_Hf5.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.79 exact (zenon_Ha4 zenon_H9f).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.79 apply (zenon_L53_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.79 apply (zenon_L95_); trivial.
% 21.54/21.79 apply (zenon_L262_); trivial.
% 21.54/21.79 (* end of lemma zenon_L600_ *)
% 21.54/21.79 assert (zenon_L601_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e0)) = (e3))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H23d zenon_H1f zenon_H4c zenon_H1d5 zenon_H66 zenon_Ha4.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1e | zenon_intro zenon_H23e ].
% 21.54/21.79 exact (zenon_H1f zenon_H1e).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H47 | zenon_intro zenon_H23f ].
% 21.54/21.79 exact (zenon_H4c zenon_H47).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H67 | zenon_intro zenon_H9f ].
% 21.54/21.79 apply (zenon_L252_); trivial.
% 21.54/21.79 exact (zenon_Ha4 zenon_H9f).
% 21.54/21.79 (* end of lemma zenon_L601_ *)
% 21.54/21.79 assert (zenon_L602_ : ((op (e3) (e3)) = (e3)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_Hc3 zenon_H9e zenon_H1b4.
% 21.54/21.79 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.54/21.79 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 21.54/21.79 intro zenon_D_pnotp.
% 21.54/21.79 apply zenon_H1b4.
% 21.54/21.79 rewrite <- zenon_D_pnotp.
% 21.54/21.79 exact zenon_H12a.
% 21.54/21.79 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.79 cut (((op (e3) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1b5].
% 21.54/21.79 congruence.
% 21.54/21.79 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e0) (e3)))).
% 21.54/21.79 intro zenon_D_pnotp.
% 21.54/21.79 apply zenon_H1b5.
% 21.54/21.79 rewrite <- zenon_D_pnotp.
% 21.54/21.79 exact zenon_Hc3.
% 21.54/21.79 cut (((e3) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H198].
% 21.54/21.79 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.79 congruence.
% 21.54/21.79 apply zenon_H12b. apply refl_equal.
% 21.54/21.79 apply zenon_H198. apply sym_equal. exact zenon_H9e.
% 21.54/21.79 apply zenon_H12b. apply refl_equal.
% 21.54/21.79 apply zenon_H12b. apply refl_equal.
% 21.54/21.79 (* end of lemma zenon_L602_ *)
% 21.54/21.79 assert (zenon_L603_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Ha0 zenon_H2a zenon_Hb6 zenon_H153 zenon_Hc3 zenon_H1b4.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.79 exact (zenon_Ha4 zenon_H9f).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.79 apply (zenon_L53_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.79 apply (zenon_L95_); trivial.
% 21.54/21.79 apply (zenon_L602_); trivial.
% 21.54/21.79 (* end of lemma zenon_L603_ *)
% 21.54/21.79 assert (zenon_L604_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H1bb zenon_H68 zenon_H77 zenon_H128 zenon_H10c zenon_Ha9 zenon_H9e zenon_H1c3 zenon_H120 zenon_H1cb zenon_H160 zenon_H13a zenon_Ha4 zenon_Ha0 zenon_H2a zenon_Hb6 zenon_H153 zenon_H1b4.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.54/21.79 apply (zenon_L296_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.54/21.79 exact (zenon_H120 zenon_H11f).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.54/21.79 apply (zenon_L236_); trivial.
% 21.54/21.79 apply (zenon_L603_); trivial.
% 21.54/21.79 (* end of lemma zenon_L604_ *)
% 21.54/21.79 assert (zenon_L605_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H141 zenon_H48 zenon_H1cf zenon_H1d5 zenon_H4c zenon_H1f zenon_H23d zenon_H186 zenon_H6d zenon_H117 zenon_H54 zenon_Hf0 zenon_H120 zenon_H1bb zenon_H68 zenon_H77 zenon_H10c zenon_Ha9 zenon_H1c3 zenon_H1cb zenon_H13a zenon_Ha4 zenon_Ha0 zenon_H2a zenon_Hb6 zenon_H153 zenon_H1b4 zenon_Hf7 zenon_H111 zenon_H18d zenon_H9e zenon_H196.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.79 apply (zenon_L217_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.79 apply (zenon_L54_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.79 apply (zenon_L581_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.79 apply (zenon_L601_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.79 apply (zenon_L438_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.79 apply (zenon_L582_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.79 apply (zenon_L151_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.79 apply (zenon_L74_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.54/21.79 apply (zenon_L596_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.54/21.79 apply (zenon_L206_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.54/21.79 apply (zenon_L604_); trivial.
% 21.54/21.79 exact (zenon_H120 zenon_H11f).
% 21.54/21.79 apply (zenon_L154_); trivial.
% 21.54/21.79 (* end of lemma zenon_L605_ *)
% 21.54/21.79 assert (zenon_L606_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H1c6 zenon_H196 zenon_H9e zenon_H18d zenon_H111 zenon_Hf7 zenon_H1b4 zenon_H153 zenon_Hb6 zenon_Ha0 zenon_Ha4 zenon_H13a zenon_H1cb zenon_H1c3 zenon_H68 zenon_H1bb zenon_H120 zenon_Hf0 zenon_H54 zenon_H117 zenon_H186 zenon_H23d zenon_H1f zenon_H4c zenon_H1d5 zenon_H1cf zenon_H141 zenon_Ha9 zenon_Hcc zenon_H1d8 zenon_H1fb zenon_H48 zenon_H2a zenon_H77 zenon_H234 zenon_H55 zenon_H189 zenon_H6d zenon_H7d zenon_H3f zenon_H1cd.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.54/21.79 apply (zenon_L53_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.54/21.79 apply (zenon_L605_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.54/21.79 apply (zenon_L289_); trivial.
% 21.54/21.79 apply (zenon_L588_); trivial.
% 21.54/21.79 (* end of lemma zenon_L606_ *)
% 21.54/21.79 assert (zenon_L607_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 21.54/21.79 do 0 intro. intros zenon_Hfa zenon_Hf5 zenon_H4e zenon_H3f zenon_H234 zenon_Hf3 zenon_H13c zenon_H179 zenon_H18d zenon_H111 zenon_H1b4 zenon_H153 zenon_Ha4 zenon_H13a zenon_H1cb zenon_H1c3 zenon_H77 zenon_H68 zenon_H1bb zenon_H120 zenon_H186 zenon_H23d zenon_H1f zenon_H4c zenon_H1d5 zenon_H1cf zenon_H7d zenon_H9d zenon_H6d zenon_H141 zenon_H48 zenon_H131 zenon_H196 zenon_H9e zenon_Hf0 zenon_H54 zenon_Hb6 zenon_H140 zenon_H237 zenon_Ha0 zenon_H109 zenon_H117 zenon_Hbc zenon_H34 zenon_H2a zenon_H1c6 zenon_Ha9.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.79 apply (zenon_L123_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.79 apply (zenon_L359_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.79 apply (zenon_L54_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.79 apply (zenon_L581_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.79 apply (zenon_L94_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.79 apply (zenon_L83_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.79 apply (zenon_L582_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.79 apply (zenon_L73_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.79 apply (zenon_L74_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.54/21.79 apply (zenon_L596_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.54/21.79 apply (zenon_L484_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.54/21.79 apply (zenon_L604_); trivial.
% 21.54/21.79 exact (zenon_H120 zenon_H11f).
% 21.54/21.79 apply (zenon_L77_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.79 apply (zenon_L162_); trivial.
% 21.54/21.79 apply (zenon_L600_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.79 apply (zenon_L61_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.79 apply (zenon_L62_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.79 apply (zenon_L123_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.79 apply (zenon_L605_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.79 apply (zenon_L594_); trivial.
% 21.54/21.79 apply (zenon_L299_); trivial.
% 21.54/21.79 (* end of lemma zenon_L607_ *)
% 21.54/21.79 assert (zenon_L608_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H140 zenon_H237 zenon_H18d zenon_H111 zenon_H136 zenon_H48 zenon_H1b4 zenon_H153 zenon_Hb6 zenon_H2a zenon_Ha4 zenon_H13a zenon_H1cb zenon_H1c3 zenon_H9e zenon_H10c zenon_H77 zenon_H68 zenon_H1bb zenon_H120 zenon_Hf0 zenon_H54 zenon_H1cf zenon_H115 zenon_Ha0 zenon_H6d zenon_Ha9 zenon_H9d zenon_H109 zenon_H117 zenon_Hbc zenon_H34.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.79 exact (zenon_H237 zenon_H31).
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.79 apply (zenon_L94_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.79 apply (zenon_L62_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.79 apply (zenon_L582_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.79 apply (zenon_L73_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.79 apply (zenon_L74_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.54/21.79 apply (zenon_L596_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.54/21.79 apply (zenon_L157_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.54/21.79 apply (zenon_L604_); trivial.
% 21.54/21.79 exact (zenon_H120 zenon_H11f).
% 21.54/21.79 apply (zenon_L77_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.79 apply (zenon_L592_); trivial.
% 21.54/21.79 apply (zenon_L328_); trivial.
% 21.54/21.79 (* end of lemma zenon_L608_ *)
% 21.54/21.79 assert (zenon_L609_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 21.54/21.79 do 0 intro. intros zenon_H141 zenon_H196 zenon_H140 zenon_H237 zenon_H18d zenon_H111 zenon_H136 zenon_H48 zenon_H1b4 zenon_H153 zenon_Hb6 zenon_H2a zenon_Ha4 zenon_H13a zenon_H1cb zenon_H1c3 zenon_H9e zenon_H10c zenon_H77 zenon_H68 zenon_H1bb zenon_H120 zenon_Hf0 zenon_H54 zenon_H1cf zenon_Ha0 zenon_H6d zenon_Ha9 zenon_H9d zenon_H109 zenon_H117 zenon_Hbc zenon_H34.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.79 apply (zenon_L359_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.79 apply (zenon_L54_); trivial.
% 21.54/21.79 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.79 apply (zenon_L581_); trivial.
% 21.54/21.79 apply (zenon_L608_); trivial.
% 21.54/21.79 (* end of lemma zenon_L609_ *)
% 21.54/21.79 assert (zenon_L610_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((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)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (((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)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H23b zenon_H23d zenon_H1bb zenon_H1b4 zenon_H1cb zenon_Hb2 zenon_H1ef zenon_H173 zenon_H183 zenon_H111 zenon_H13b zenon_H4e zenon_H1f zenon_Hfa zenon_H179 zenon_H82 zenon_H1c6 zenon_H1d8 zenon_H1fb zenon_H55 zenon_H189 zenon_Hcc zenon_H131 zenon_H109 zenon_Ha0 zenon_H141 zenon_H9d zenon_H11a zenon_H18d zenon_Ha9 zenon_H1cf zenon_H77 zenon_H120 zenon_H12e zenon_H186 zenon_H1d5 zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H2a zenon_H192 zenon_H1c3 zenon_H234 zenon_Hb6 zenon_H196 zenon_H9e zenon_H117 zenon_H48 zenon_Hf5 zenon_H13c zenon_H6d zenon_Hf0 zenon_H68 zenon_H236 zenon_H237 zenon_H13a zenon_H33 zenon_H15d zenon_H139 zenon_H3f zenon_H23c zenon_H4c zenon_H140 zenon_Hbc zenon_H6f zenon_H1fe.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.80 exact (zenon_H1f zenon_H1e).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.80 exact (zenon_H4c zenon_H47).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.80 apply (zenon_L492_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.80 apply (zenon_L171_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.80 apply (zenon_L61_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.80 apply (zenon_L116_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.80 apply (zenon_L217_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.80 apply (zenon_L54_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.80 apply (zenon_L581_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.80 apply (zenon_L134_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.80 apply (zenon_L552_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.54/21.80 apply (zenon_L115_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.54/21.80 apply (zenon_L484_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.54/21.80 apply (zenon_L92_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.54/21.80 apply (zenon_L584_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.54/21.80 apply (zenon_L218_); trivial.
% 21.54/21.80 apply (zenon_L585_); trivial.
% 21.54/21.80 exact (zenon_H120 zenon_H11f).
% 21.54/21.80 exact (zenon_H120 zenon_H11f).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.80 apply (zenon_L436_); trivial.
% 21.54/21.80 apply (zenon_L262_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.80 apply (zenon_L123_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.80 apply (zenon_L586_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.80 apply (zenon_L54_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.80 apply (zenon_L581_); trivial.
% 21.54/21.80 apply (zenon_L584_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.54/21.80 apply (zenon_L53_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.80 apply (zenon_L217_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.80 apply (zenon_L587_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.80 apply (zenon_L581_); trivial.
% 21.54/21.80 apply (zenon_L584_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.54/21.80 apply (zenon_L289_); trivial.
% 21.54/21.80 apply (zenon_L588_); trivial.
% 21.54/21.80 apply (zenon_L299_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.80 apply (zenon_L147_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.80 apply (zenon_L590_); trivial.
% 21.54/21.80 apply (zenon_L92_); trivial.
% 21.54/21.80 apply (zenon_L134_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.80 apply (zenon_L586_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.80 exact (zenon_H4c zenon_H47).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.80 apply (zenon_L492_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.80 apply (zenon_L123_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.80 apply (zenon_L593_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.80 apply (zenon_L594_); trivial.
% 21.54/21.80 apply (zenon_L262_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.80 apply (zenon_L21_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.80 apply (zenon_L590_); trivial.
% 21.54/21.80 apply (zenon_L92_); trivial.
% 21.54/21.80 apply (zenon_L456_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.80 exact (zenon_H1f zenon_H1e).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.80 exact (zenon_H4c zenon_H47).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.80 apply (zenon_L65_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.80 exact (zenon_H4c zenon_H47).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.80 apply (zenon_L492_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.80 apply (zenon_L171_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.80 apply (zenon_L61_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.80 apply (zenon_L123_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.80 apply (zenon_L151_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.80 apply (zenon_L289_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.80 apply (zenon_L595_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.80 apply (zenon_L552_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.54/21.80 apply (zenon_L596_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.54/21.80 apply (zenon_L484_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.54/21.80 apply (zenon_L597_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.54/21.80 apply (zenon_L599_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.54/21.80 apply (zenon_L367_); trivial.
% 21.54/21.80 apply (zenon_L585_); trivial.
% 21.54/21.80 exact (zenon_H120 zenon_H11f).
% 21.54/21.80 exact (zenon_H120 zenon_H11f).
% 21.54/21.80 apply (zenon_L154_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.80 apply (zenon_L436_); trivial.
% 21.54/21.80 apply (zenon_L600_); trivial.
% 21.54/21.80 apply (zenon_L606_); trivial.
% 21.54/21.80 apply (zenon_L134_); trivial.
% 21.54/21.80 apply (zenon_L115_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.80 apply (zenon_L586_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.80 exact (zenon_H4c zenon_H47).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.80 apply (zenon_L65_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.80 exact (zenon_H4c zenon_H47).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.80 apply (zenon_L492_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.80 apply (zenon_L297_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.80 apply (zenon_L272_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.80 apply (zenon_L607_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.80 apply (zenon_L123_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.80 apply (zenon_L609_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.80 apply (zenon_L594_); trivial.
% 21.54/21.80 apply (zenon_L90_); trivial.
% 21.54/21.80 apply (zenon_L134_); trivial.
% 21.54/21.80 apply (zenon_L115_); trivial.
% 21.54/21.80 (* end of lemma zenon_L610_ *)
% 21.54/21.80 assert (zenon_L611_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H23d zenon_H1f zenon_H4c zenon_H6c zenon_H9d zenon_H33.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1e | zenon_intro zenon_H23e ].
% 21.54/21.80 exact (zenon_H1f zenon_H1e).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H47 | zenon_intro zenon_H23f ].
% 21.54/21.80 exact (zenon_H4c zenon_H47).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H67 | zenon_intro zenon_H9f ].
% 21.54/21.80 exact (zenon_H6c zenon_H67).
% 21.54/21.80 apply (zenon_L245_); trivial.
% 21.54/21.80 (* end of lemma zenon_L611_ *)
% 21.54/21.80 assert (zenon_L612_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((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)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((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)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((op (e0) (e1)) = (e0)) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H204 zenon_H23b zenon_H23d zenon_H1bb zenon_H1b4 zenon_H1cb zenon_Hb2 zenon_H1ef zenon_H173 zenon_H183 zenon_H111 zenon_H13b zenon_H4e zenon_H1f zenon_Hfa zenon_H179 zenon_H82 zenon_H1c6 zenon_H1d8 zenon_H1fb zenon_H55 zenon_H189 zenon_Hcc zenon_H131 zenon_H109 zenon_Ha0 zenon_H141 zenon_H9d zenon_H11a zenon_H18d zenon_Ha9 zenon_H1cf zenon_H77 zenon_H120 zenon_H12e zenon_H186 zenon_H1d5 zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H192 zenon_H1c3 zenon_H234 zenon_Hb6 zenon_H196 zenon_H9e zenon_H117 zenon_H48 zenon_Hf5 zenon_H13c zenon_H6d zenon_Hf0 zenon_H68 zenon_H236 zenon_H13a zenon_H33 zenon_H15d zenon_H139 zenon_H3f zenon_H23c zenon_H140 zenon_Hbc zenon_H6f zenon_H1fe zenon_H240 zenon_H2a.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 21.54/21.80 exact (zenon_H205 zenon_H2a).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 21.54/21.80 apply (zenon_L610_); trivial.
% 21.54/21.80 apply (zenon_L611_); trivial.
% 21.54/21.80 (* end of lemma zenon_L612_ *)
% 21.54/21.80 assert (zenon_L613_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (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))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (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 (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (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) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H9b zenon_H2a zenon_H1fe zenon_H6f zenon_Hbc zenon_H140 zenon_H23c zenon_H3f zenon_H139 zenon_H15d zenon_H33 zenon_H13a zenon_H236 zenon_H68 zenon_Hf0 zenon_H6d zenon_H13c zenon_Hf5 zenon_H48 zenon_H117 zenon_H196 zenon_Hb6 zenon_H234 zenon_H1c3 zenon_H192 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H1d5 zenon_H186 zenon_H12e zenon_H120 zenon_H77 zenon_H1cf zenon_Ha9 zenon_H18d zenon_H11a zenon_H141 zenon_Ha0 zenon_H109 zenon_H131 zenon_Hcc zenon_H189 zenon_H55 zenon_H1fb zenon_H1d8 zenon_H1c6 zenon_H82 zenon_H179 zenon_Hfa zenon_H4e zenon_H13b zenon_H111 zenon_H183 zenon_H173 zenon_H1ef zenon_Hb2 zenon_H1cb zenon_H1b4 zenon_H1bb zenon_H23d.
% 21.54/21.80 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 21.54/21.80 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 21.54/21.80 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.54/21.80 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.54/21.80 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 21.54/21.80 apply (zenon_L612_); trivial.
% 21.54/21.80 apply (zenon_L612_); trivial.
% 21.54/21.80 (* end of lemma zenon_L613_ *)
% 21.54/21.80 assert (zenon_L614_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e3)) -> ((op (e3) (e3)) = (e0)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H1c3 zenon_H10c zenon_H167 zenon_H77 zenon_H7f zenon_H189 zenon_H72 zenon_H156 zenon_H2a zenon_H68 zenon_H1a8 zenon_H155 zenon_H9f.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.54/21.80 apply (zenon_L98_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.54/21.80 apply (zenon_L294_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.54/21.80 apply (zenon_L440_); trivial.
% 21.54/21.80 apply (zenon_L444_); trivial.
% 21.54/21.80 (* end of lemma zenon_L614_ *)
% 21.54/21.80 assert (zenon_L615_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H18d zenon_H9f zenon_H1a8 zenon_H68 zenon_H2a zenon_H156 zenon_H72 zenon_H189 zenon_H7f zenon_H77 zenon_H167 zenon_H10c zenon_H1c3 zenon_H234 zenon_H3f zenon_Hb9 zenon_Hb6 zenon_H120.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.54/21.80 apply (zenon_L614_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.54/21.80 apply (zenon_L484_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.54/21.80 apply (zenon_L182_); trivial.
% 21.54/21.80 exact (zenon_H120 zenon_H11f).
% 21.54/21.80 (* end of lemma zenon_L615_ *)
% 21.54/21.80 assert (zenon_L616_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e3)) -> ((op (e3) (e3)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H12e zenon_H67 zenon_Hb9 zenon_H3f zenon_H234 zenon_H1c3 zenon_H10c zenon_H167 zenon_H77 zenon_H189 zenon_H72 zenon_H156 zenon_H2a zenon_H68 zenon_H1a8 zenon_H9f zenon_H18d zenon_Hbb zenon_Hb6 zenon_H120.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.80 apply (zenon_L547_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.80 apply (zenon_L615_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.80 apply (zenon_L363_); trivial.
% 21.54/21.80 exact (zenon_H120 zenon_H11f).
% 21.54/21.80 (* end of lemma zenon_L616_ *)
% 21.54/21.80 assert (zenon_L617_ : ((op (e3) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_Hbb zenon_H133 zenon_H163.
% 21.54/21.80 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ].
% 21.54/21.80 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 21.54/21.80 intro zenon_D_pnotp.
% 21.54/21.80 apply zenon_H163.
% 21.54/21.80 rewrite <- zenon_D_pnotp.
% 21.54/21.80 exact zenon_Hbd.
% 21.54/21.80 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 21.54/21.80 cut (((op (e3) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H251].
% 21.54/21.80 congruence.
% 21.54/21.80 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e1) (e2)))).
% 21.54/21.80 intro zenon_D_pnotp.
% 21.54/21.80 apply zenon_H251.
% 21.54/21.80 rewrite <- zenon_D_pnotp.
% 21.54/21.80 exact zenon_Hbb.
% 21.54/21.80 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 21.54/21.80 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 21.54/21.80 congruence.
% 21.54/21.80 apply zenon_Hbe. apply refl_equal.
% 21.54/21.80 apply zenon_H134. apply sym_equal. exact zenon_H133.
% 21.54/21.80 apply zenon_Hbe. apply refl_equal.
% 21.54/21.80 apply zenon_Hbe. apply refl_equal.
% 21.54/21.80 (* end of lemma zenon_L617_ *)
% 21.54/21.80 assert (zenon_L618_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((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 (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H13c zenon_H25 zenon_Ha0 zenon_H164 zenon_H1cd zenon_H6d zenon_Ha9 zenon_H1bb zenon_H20f zenon_Hc0 zenon_H129 zenon_H1c6 zenon_H48 zenon_H183 zenon_Hf0 zenon_H1cb zenon_H8b zenon_H4e zenon_H153 zenon_H1cf zenon_Hfa zenon_H173 zenon_H179 zenon_H13b zenon_H192 zenon_H104 zenon_H12e zenon_H67 zenon_H3f zenon_H234 zenon_H1c3 zenon_H77 zenon_H189 zenon_H72 zenon_H156 zenon_H2a zenon_H68 zenon_H1a8 zenon_H9f zenon_H18d zenon_Hb6 zenon_H120 zenon_H54 zenon_H141 zenon_H163 zenon_Hbb zenon_Hb9 zenon_H195.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.80 apply (zenon_L116_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.80 apply (zenon_L217_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.80 apply (zenon_L54_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.80 apply (zenon_L579_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.80 apply (zenon_L292_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.80 apply (zenon_L257_); trivial.
% 21.54/21.80 apply (zenon_L616_); trivial.
% 21.54/21.80 apply (zenon_L77_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.80 apply (zenon_L617_); trivial.
% 21.54/21.80 apply (zenon_L172_); trivial.
% 21.54/21.80 (* end of lemma zenon_L618_ *)
% 21.54/21.80 assert (zenon_L619_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_Hfa zenon_H68 zenon_H25 zenon_Hf0 zenon_H73 zenon_H66 zenon_H1c6 zenon_Ha0 zenon_H2a zenon_H129 zenon_Hc0 zenon_H20f zenon_H120 zenon_H1bb zenon_Ha9 zenon_H6d zenon_Hbb zenon_H1cd.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.80 apply (zenon_L171_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.80 apply (zenon_L61_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.80 apply (zenon_L22_); trivial.
% 21.54/21.80 apply (zenon_L576_); trivial.
% 21.54/21.80 (* end of lemma zenon_L619_ *)
% 21.54/21.80 assert (zenon_L620_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H16a zenon_H2c zenon_H67 zenon_Hf0 zenon_Hef zenon_H8b zenon_H16b.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.54/21.80 apply (zenon_L180_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.54/21.80 apply (zenon_L61_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.54/21.80 exact (zenon_H8b zenon_H8a).
% 21.54/21.80 exact (zenon_H16b zenon_H93).
% 21.54/21.80 (* end of lemma zenon_L620_ *)
% 21.54/21.80 assert (zenon_L621_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H16a zenon_H7b zenon_Hf0 zenon_Hef zenon_H8b zenon_Hf6 zenon_H196.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.54/21.80 exact (zenon_H7b zenon_H65).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.54/21.80 apply (zenon_L61_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.54/21.80 exact (zenon_H8b zenon_H8a).
% 21.54/21.80 apply (zenon_L167_); trivial.
% 21.54/21.80 (* end of lemma zenon_L621_ *)
% 21.54/21.80 assert (zenon_L622_ : ((op (e3) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_Hc3 zenon_Hbb zenon_H1cb.
% 21.54/21.80 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.54/21.80 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e2)) = (op (e3) (e3)))).
% 21.54/21.80 intro zenon_D_pnotp.
% 21.54/21.80 apply zenon_H1cb.
% 21.54/21.80 rewrite <- zenon_D_pnotp.
% 21.54/21.80 exact zenon_H12a.
% 21.54/21.80 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.80 cut (((op (e3) (e3)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1cc].
% 21.54/21.80 congruence.
% 21.54/21.80 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e3) (e2)))).
% 21.54/21.80 intro zenon_D_pnotp.
% 21.54/21.80 apply zenon_H1cc.
% 21.54/21.80 rewrite <- zenon_D_pnotp.
% 21.54/21.80 exact zenon_Hc3.
% 21.54/21.80 cut (((e3) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H252].
% 21.54/21.80 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.54/21.80 congruence.
% 21.54/21.80 apply zenon_H12b. apply refl_equal.
% 21.54/21.80 apply zenon_H252. apply sym_equal. exact zenon_Hbb.
% 21.54/21.80 apply zenon_H12b. apply refl_equal.
% 21.54/21.80 apply zenon_H12b. apply refl_equal.
% 21.54/21.80 (* end of lemma zenon_L622_ *)
% 21.54/21.80 assert (zenon_L623_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H1bb zenon_H7e zenon_H67 zenon_H120 zenon_H1b4 zenon_Hf6 zenon_Hbb zenon_H1cb.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.54/21.80 apply (zenon_L547_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.54/21.80 exact (zenon_H120 zenon_H11f).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.54/21.80 apply (zenon_L347_); trivial.
% 21.54/21.80 apply (zenon_L622_); trivial.
% 21.54/21.80 (* end of lemma zenon_L623_ *)
% 21.54/21.80 assert (zenon_L624_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H12e zenon_H1cb zenon_H67 zenon_H1bb zenon_H1b4 zenon_Hf6 zenon_H163 zenon_H72 zenon_H77 zenon_H34 zenon_H68 zenon_H183 zenon_Hbb zenon_Hb6 zenon_H120.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.80 apply (zenon_L623_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.80 apply (zenon_L348_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.80 apply (zenon_L363_); trivial.
% 21.54/21.80 exact (zenon_H120 zenon_H11f).
% 21.54/21.80 (* end of lemma zenon_L624_ *)
% 21.54/21.80 assert (zenon_L625_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((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))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_Hfa zenon_H1cf zenon_H153 zenon_H4e zenon_H18d zenon_H189 zenon_H1c3 zenon_H234 zenon_H3f zenon_Hb9 zenon_H196 zenon_H8b zenon_Hf0 zenon_H7b zenon_H16a zenon_Hb6 zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H163 zenon_Hf6 zenon_H1b4 zenon_H67 zenon_H1cb zenon_H12e zenon_H1c6 zenon_Ha0 zenon_H2a zenon_H129 zenon_Hc0 zenon_H20f zenon_H120 zenon_H1bb zenon_Ha9 zenon_H6d zenon_Hbb zenon_H1cd.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.80 apply (zenon_L574_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.80 apply (zenon_L621_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.80 apply (zenon_L624_); trivial.
% 21.54/21.80 apply (zenon_L576_); trivial.
% 21.54/21.80 (* end of lemma zenon_L625_ *)
% 21.54/21.80 assert (zenon_L626_ : (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H16b zenon_H2c zenon_H195 zenon_Hb9 zenon_H164 zenon_H1cb zenon_H1b4 zenon_Hf6 zenon_H163 zenon_H183 zenon_H16a zenon_H7b zenon_Hf0 zenon_H8b zenon_H196 zenon_H4e zenon_H153 zenon_H1cf zenon_Hfa zenon_H192 zenon_H12e zenon_H67 zenon_H3f zenon_H234 zenon_H1c3 zenon_H77 zenon_H189 zenon_H156 zenon_H68 zenon_H1a8 zenon_H9f zenon_H18d zenon_Hb6 zenon_H25 zenon_H13c zenon_H1c6 zenon_Ha0 zenon_H2a zenon_H129 zenon_Hc0 zenon_H20f zenon_H120 zenon_H1bb zenon_Ha9 zenon_H6d zenon_Hbb zenon_H1cd.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.80 apply (zenon_L171_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.80 apply (zenon_L620_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.80 apply (zenon_L116_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.80 apply (zenon_L625_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.80 apply (zenon_L292_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.80 apply (zenon_L80_); trivial.
% 21.54/21.80 apply (zenon_L616_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.80 apply (zenon_L436_); trivial.
% 21.54/21.80 apply (zenon_L172_); trivial.
% 21.54/21.80 apply (zenon_L576_); trivial.
% 21.54/21.80 (* end of lemma zenon_L626_ *)
% 21.54/21.80 assert (zenon_L627_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H13f zenon_H48 zenon_H16b zenon_H8b zenon_H77 zenon_H2d zenon_H68 zenon_H16a zenon_H1bf zenon_Hb6 zenon_Hb9.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.54/21.80 apply (zenon_L217_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.54/21.80 apply (zenon_L327_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.54/21.80 exact (zenon_H1bf zenon_H105).
% 21.54/21.80 apply (zenon_L182_); trivial.
% 21.54/21.80 (* end of lemma zenon_L627_ *)
% 21.54/21.80 assert (zenon_L628_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H16a zenon_H7b zenon_Hdd zenon_H68 zenon_H8b zenon_Hf6 zenon_H196.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.54/21.80 exact (zenon_H7b zenon_H65).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.54/21.80 apply (zenon_L54_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.54/21.80 exact (zenon_H8b zenon_H8a).
% 21.54/21.80 apply (zenon_L167_); trivial.
% 21.54/21.80 (* end of lemma zenon_L628_ *)
% 21.54/21.80 assert (zenon_L629_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((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 (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H164 zenon_H1cd zenon_H6d zenon_Ha9 zenon_H1bb zenon_H20f zenon_Hc0 zenon_H129 zenon_Ha0 zenon_H1c6 zenon_H48 zenon_H183 zenon_H163 zenon_Hf0 zenon_H1cb zenon_H8b zenon_H4e zenon_H153 zenon_H1cf zenon_Hfa zenon_H173 zenon_H179 zenon_H13b zenon_H192 zenon_H14c zenon_H104 zenon_H12e zenon_H102 zenon_Hb9 zenon_H3f zenon_H234 zenon_H1c3 zenon_H10c zenon_H77 zenon_H189 zenon_H72 zenon_H156 zenon_H2a zenon_H68 zenon_H1a8 zenon_H9f zenon_H18d zenon_Hbb zenon_Hb6 zenon_H120.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.80 apply (zenon_L579_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.80 apply (zenon_L292_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.80 apply (zenon_L257_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.80 apply (zenon_L71_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.80 apply (zenon_L615_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.80 apply (zenon_L363_); trivial.
% 21.54/21.80 exact (zenon_H120 zenon_H11f).
% 21.54/21.80 (* end of lemma zenon_L629_ *)
% 21.54/21.80 assert (zenon_L630_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((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 (e2) (e3)) = (e3)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H164 zenon_H1cd zenon_Hbb zenon_H6d zenon_Ha9 zenon_H1bb zenon_H120 zenon_H20f zenon_Hc0 zenon_H129 zenon_Ha0 zenon_H1c6 zenon_H12e zenon_Hb9 zenon_H48 zenon_H183 zenon_H68 zenon_H77 zenon_H163 zenon_H9f zenon_H18d zenon_Hb6 zenon_Hf0 zenon_H3f zenon_H234 zenon_H1c3 zenon_H189 zenon_H1cb zenon_H8b zenon_H4e zenon_H153 zenon_H1cf zenon_Hfa zenon_H173 zenon_H179 zenon_H13b zenon_H2a zenon_H192 zenon_H14c zenon_H104 zenon_H67 zenon_H7e.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.80 apply (zenon_L579_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.80 apply (zenon_L292_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.80 apply (zenon_L257_); trivial.
% 21.54/21.80 apply (zenon_L547_); trivial.
% 21.54/21.80 (* end of lemma zenon_L630_ *)
% 21.54/21.80 assert (zenon_L631_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (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 (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H141 zenon_H1bf zenon_H16a zenon_H16b zenon_H13f zenon_H7e zenon_H67 zenon_H104 zenon_H192 zenon_H2a zenon_H13b zenon_H179 zenon_H173 zenon_Hfa zenon_H1cf zenon_H153 zenon_H4e zenon_H8b zenon_H1cb zenon_H189 zenon_H1c3 zenon_H234 zenon_H3f zenon_Hf0 zenon_Hb6 zenon_H18d zenon_H9f zenon_H163 zenon_H77 zenon_H68 zenon_H183 zenon_H48 zenon_H12e zenon_H1c6 zenon_H129 zenon_Hc0 zenon_H20f zenon_H120 zenon_H1bb zenon_Ha9 zenon_H6d zenon_Hbb zenon_H1cd zenon_H164 zenon_Ha0 zenon_Hb9.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.80 apply (zenon_L627_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.80 apply (zenon_L54_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.80 apply (zenon_L630_); trivial.
% 21.54/21.80 apply (zenon_L77_); trivial.
% 21.54/21.80 (* end of lemma zenon_L631_ *)
% 21.54/21.80 assert (zenon_L632_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H125 zenon_H1cb zenon_Hbb zenon_Hf6 zenon_H1b4 zenon_H120 zenon_H1bb zenon_H68 zenon_H25 zenon_H7b zenon_H7e zenon_H77.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.80 apply (zenon_L623_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.80 apply (zenon_L171_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.80 exact (zenon_H7b zenon_H65).
% 21.54/21.80 apply (zenon_L71_); trivial.
% 21.54/21.80 (* end of lemma zenon_L632_ *)
% 21.54/21.80 assert (zenon_L633_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (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 (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H13c zenon_H25 zenon_Hbb zenon_Hb6 zenon_H1bf zenon_H77 zenon_H164 zenon_H1cd zenon_H6d zenon_H1bb zenon_H20f zenon_Hc0 zenon_H129 zenon_H1c6 zenon_H48 zenon_H183 zenon_H163 zenon_H18d zenon_Hf0 zenon_H3f zenon_H234 zenon_H1cb zenon_H8b zenon_H4e zenon_H1cf zenon_Hfa zenon_H173 zenon_H179 zenon_H13b zenon_H192 zenon_Ha0 zenon_H12e zenon_H67 zenon_H9f zenon_H155 zenon_H1a8 zenon_H68 zenon_H2a zenon_H156 zenon_H189 zenon_H1c3 zenon_H120 zenon_H201 zenon_Ha9 zenon_H72 zenon_Hb9 zenon_H195.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.80 apply (zenon_L116_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.80 apply (zenon_L579_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.80 apply (zenon_L292_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.80 apply (zenon_L80_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.80 apply (zenon_L547_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.80 apply (zenon_L614_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.80 apply (zenon_L363_); trivial.
% 21.54/21.80 exact (zenon_H120 zenon_H11f).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.80 apply (zenon_L59_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.80 exact (zenon_H1bf zenon_H105).
% 21.54/21.80 apply (zenon_L363_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.80 apply (zenon_L436_); trivial.
% 21.54/21.80 apply (zenon_L172_); trivial.
% 21.54/21.80 (* end of lemma zenon_L633_ *)
% 21.54/21.80 assert (zenon_L634_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H139 zenon_Hb6 zenon_H177 zenon_H195 zenon_Hb9 zenon_H201 zenon_H1c3 zenon_H189 zenon_H156 zenon_H1a8 zenon_H12e zenon_H192 zenon_H13b zenon_H179 zenon_H173 zenon_H1cf zenon_H4e zenon_H8b zenon_H1cb zenon_H234 zenon_H3f zenon_H18d zenon_H163 zenon_H183 zenon_H48 zenon_H164 zenon_H1bf zenon_H13c zenon_H13a zenon_H1cd zenon_Hbb zenon_H6d zenon_Ha9 zenon_H1bb zenon_H120 zenon_H20f zenon_Hc0 zenon_H129 zenon_H2a zenon_Ha0 zenon_H1c6 zenon_H73 zenon_Hf0 zenon_H25 zenon_H68 zenon_Hfa zenon_H155 zenon_H77.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.80 apply (zenon_L171_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.80 apply (zenon_L61_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.80 apply (zenon_L633_); trivial.
% 21.54/21.80 apply (zenon_L576_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.80 apply (zenon_L53_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.80 apply (zenon_L178_); trivial.
% 21.54/21.80 apply (zenon_L115_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.80 apply (zenon_L147_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.80 apply (zenon_L619_); trivial.
% 21.54/21.80 apply (zenon_L98_); trivial.
% 21.54/21.80 (* end of lemma zenon_L634_ *)
% 21.54/21.80 assert (zenon_L635_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H13a zenon_H47 zenon_Ha0 zenon_H2a zenon_H177 zenon_Hbb zenon_Hb6 zenon_H155.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.80 apply (zenon_L253_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.80 apply (zenon_L53_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.80 apply (zenon_L178_); trivial.
% 21.54/21.80 apply (zenon_L115_); trivial.
% 21.54/21.80 (* end of lemma zenon_L635_ *)
% 21.54/21.80 assert (zenon_L636_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False).
% 21.54/21.80 do 0 intro. intros zenon_He4 zenon_H48 zenon_H2a zenon_H156 zenon_H4d zenon_H55 zenon_H54 zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H66 zenon_H177 zenon_H155 zenon_H9f.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.54/21.80 apply (zenon_L65_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.54/21.80 apply (zenon_L486_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.54/21.80 apply (zenon_L15_); trivial.
% 21.54/21.80 apply (zenon_L496_); trivial.
% 21.54/21.80 (* end of lemma zenon_L636_ *)
% 21.54/21.80 assert (zenon_L637_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H201 zenon_H177 zenon_H54 zenon_H55 zenon_H156 zenon_H48 zenon_He4 zenon_H1bf zenon_H183 zenon_H68 zenon_H34 zenon_H129 zenon_Hb6 zenon_H9f zenon_H33 zenon_H121 zenon_H77 zenon_H13a zenon_H155 zenon_Ha0 zenon_H2a zenon_Ha9 zenon_H66 zenon_Hb9 zenon_H196.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.80 apply (zenon_L94_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.80 apply (zenon_L636_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.80 exact (zenon_H1bf zenon_H105).
% 21.54/21.80 apply (zenon_L495_); trivial.
% 21.54/21.80 (* end of lemma zenon_L637_ *)
% 21.54/21.80 assert (zenon_L638_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H1c3 zenon_H1cb zenon_Hbb zenon_H1b4 zenon_H120 zenon_H67 zenon_H7e zenon_H1bb zenon_H72 zenon_H186 zenon_H189 zenon_H6d zenon_H155 zenon_H9f.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.54/21.80 apply (zenon_L623_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.54/21.80 apply (zenon_L438_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.54/21.80 apply (zenon_L439_); trivial.
% 21.54/21.80 apply (zenon_L444_); trivial.
% 21.54/21.80 (* end of lemma zenon_L638_ *)
% 21.54/21.80 assert (zenon_L639_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H12e zenon_H6d zenon_H189 zenon_H186 zenon_H1bb zenon_H67 zenon_H1b4 zenon_H1cb zenon_H1c3 zenon_H9f zenon_H155 zenon_H163 zenon_H72 zenon_H77 zenon_H34 zenon_H68 zenon_H183 zenon_Hbb zenon_Hb6 zenon_H120.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.80 apply (zenon_L638_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.80 apply (zenon_L449_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.80 apply (zenon_L363_); trivial.
% 21.54/21.80 exact (zenon_H120 zenon_H11f).
% 21.54/21.80 (* end of lemma zenon_L639_ *)
% 21.54/21.80 assert (zenon_L640_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (((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 (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e1)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H1cf zenon_H196 zenon_Hb9 zenon_Ha9 zenon_H2a zenon_Ha0 zenon_H13a zenon_H121 zenon_H33 zenon_H1bf zenon_He4 zenon_H48 zenon_H156 zenon_H55 zenon_H54 zenon_H177 zenon_H201 zenon_Hb6 zenon_Hbb zenon_H183 zenon_H68 zenon_H34 zenon_H163 zenon_H9f zenon_H1b4 zenon_H67 zenon_H186 zenon_H12e zenon_H8b zenon_H1c3 zenon_H77 zenon_H155 zenon_H129 zenon_Hc0 zenon_H20f zenon_H120 zenon_H10c zenon_H1bb zenon_H189 zenon_H6d zenon_H1cb.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.80 apply (zenon_L637_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.80 apply (zenon_L639_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.80 exact (zenon_H8b zenon_H8a).
% 21.54/21.80 apply (zenon_L572_); trivial.
% 21.54/21.80 (* end of lemma zenon_L640_ *)
% 21.54/21.80 assert (zenon_L641_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H1c6 zenon_H1cb zenon_H1bb zenon_H120 zenon_H20f zenon_Hc0 zenon_H129 zenon_H155 zenon_H1c3 zenon_H8b zenon_H12e zenon_H186 zenon_H67 zenon_H1b4 zenon_H9f zenon_H163 zenon_H34 zenon_H68 zenon_H183 zenon_Hbb zenon_Hb6 zenon_H201 zenon_H177 zenon_H54 zenon_H156 zenon_He4 zenon_H1bf zenon_H33 zenon_H121 zenon_H13a zenon_Ha0 zenon_Hb9 zenon_H196 zenon_H1cf zenon_Ha9 zenon_Hcc zenon_H1d8 zenon_H1fb zenon_H48 zenon_H2a zenon_H77 zenon_H234 zenon_H55 zenon_H189 zenon_H6d zenon_H7d zenon_H3f zenon_H1cd.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.54/21.80 apply (zenon_L53_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.54/21.80 apply (zenon_L640_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.54/21.80 apply (zenon_L289_); trivial.
% 21.54/21.80 apply (zenon_L588_); trivial.
% 21.54/21.80 (* end of lemma zenon_L641_ *)
% 21.54/21.80 assert (zenon_L642_ : ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H66 zenon_Ha9 zenon_H155 zenon_H13a zenon_H77 zenon_H121 zenon_H33 zenon_Hb6 zenon_H129 zenon_H34 zenon_H68 zenon_H183 zenon_H1bf zenon_He4 zenon_H48 zenon_H156 zenon_H55 zenon_H54 zenon_H201 zenon_Ha0 zenon_H2a zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.80 apply (zenon_L637_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.80 apply (zenon_L53_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.80 apply (zenon_L178_); trivial.
% 21.54/21.80 apply (zenon_L154_); trivial.
% 21.54/21.80 (* end of lemma zenon_L642_ *)
% 21.54/21.80 assert (zenon_L643_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H15d zenon_H13b zenon_H179 zenon_H173 zenon_Hfa zenon_H4e zenon_Hf0 zenon_H18d zenon_H82 zenon_H23c zenon_H77 zenon_Ha9 zenon_H13a zenon_H121 zenon_H33 zenon_Hb6 zenon_H129 zenon_H68 zenon_H183 zenon_H1bf zenon_He4 zenon_H156 zenon_H55 zenon_H201 zenon_Ha0 zenon_H2a zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196 zenon_H6d zenon_H6f zenon_H1cd zenon_H3f zenon_H7d zenon_H189 zenon_H234 zenon_H1fb zenon_H1d8 zenon_Hcc zenon_H1cf zenon_H163 zenon_H1b4 zenon_H186 zenon_H12e zenon_H8b zenon_H1c3 zenon_Hc0 zenon_H20f zenon_H120 zenon_H1bb zenon_H1cb zenon_H1c6 zenon_H139 zenon_H34 zenon_H48.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.80 apply (zenon_L376_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.80 apply (zenon_L65_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.80 apply (zenon_L579_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.80 apply (zenon_L53_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.80 apply (zenon_L95_); trivial.
% 21.54/21.80 apply (zenon_L154_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.80 apply (zenon_L635_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.80 apply (zenon_L492_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.80 apply (zenon_L641_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.80 apply (zenon_L53_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.80 apply (zenon_L178_); trivial.
% 21.54/21.80 apply (zenon_L115_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.80 apply (zenon_L21_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.80 apply (zenon_L642_); trivial.
% 21.54/21.80 apply (zenon_L98_); trivial.
% 21.54/21.80 apply (zenon_L456_); trivial.
% 21.54/21.80 (* end of lemma zenon_L643_ *)
% 21.54/21.80 assert (zenon_L644_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H13e zenon_H2d zenon_H1ef zenon_H1bf zenon_H8b zenon_H191.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H14c | zenon_intro zenon_H151 ].
% 21.54/21.80 apply (zenon_L405_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H105 | zenon_intro zenon_H152 ].
% 21.54/21.80 exact (zenon_H1bf zenon_H105).
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H110 ].
% 21.54/21.80 exact (zenon_H8b zenon_H8a).
% 21.54/21.80 exact (zenon_H191 zenon_H110).
% 21.54/21.80 (* end of lemma zenon_L644_ *)
% 21.54/21.80 assert (zenon_L645_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H89 zenon_H1ef zenon_H2d zenon_H1bf zenon_H191 zenon_H13e.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.54/21.80 apply (zenon_L644_); trivial.
% 21.54/21.80 apply (zenon_L644_); trivial.
% 21.54/21.80 (* end of lemma zenon_L645_ *)
% 21.54/21.80 assert (zenon_L646_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (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 (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H141 zenon_H191 zenon_H1bf zenon_H1ef zenon_H13e zenon_H7e zenon_H67 zenon_H104 zenon_H192 zenon_H2a zenon_H13b zenon_H179 zenon_H173 zenon_Hfa zenon_H1cf zenon_H153 zenon_H4e zenon_H8b zenon_H1cb zenon_H189 zenon_H1c3 zenon_H234 zenon_H3f zenon_Hf0 zenon_Hb6 zenon_H18d zenon_H9f zenon_H163 zenon_H77 zenon_H68 zenon_H183 zenon_H48 zenon_H12e zenon_H1c6 zenon_H129 zenon_Hc0 zenon_H20f zenon_H120 zenon_H1bb zenon_Ha9 zenon_H6d zenon_Hbb zenon_H1cd zenon_H164 zenon_Ha0 zenon_Hb9.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.80 apply (zenon_L644_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.80 apply (zenon_L54_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.80 apply (zenon_L630_); trivial.
% 21.54/21.80 apply (zenon_L77_); trivial.
% 21.54/21.80 (* end of lemma zenon_L646_ *)
% 21.54/21.80 assert (zenon_L647_ : (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((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 (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((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))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e3)) -> ((op (e3) (e3)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_Ha0 zenon_H164 zenon_H1cd zenon_H6d zenon_Ha9 zenon_H1bb zenon_H20f zenon_Hc0 zenon_H129 zenon_H1c6 zenon_H12e zenon_H48 zenon_H183 zenon_H163 zenon_Hf0 zenon_H1cb zenon_H8b zenon_H4e zenon_H153 zenon_H1cf zenon_Hfa zenon_H173 zenon_H179 zenon_H13b zenon_H192 zenon_H104 zenon_H67 zenon_H13e zenon_H1ef zenon_H1bf zenon_H191 zenon_H141 zenon_Hb9 zenon_H3f zenon_H234 zenon_H1c3 zenon_H10c zenon_H167 zenon_H77 zenon_H189 zenon_H72 zenon_H156 zenon_H2a zenon_H68 zenon_H1a8 zenon_H9f zenon_H18d zenon_Hbb zenon_Hb6 zenon_H120.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.80 apply (zenon_L646_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.80 apply (zenon_L615_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.80 apply (zenon_L363_); trivial.
% 21.54/21.80 exact (zenon_H120 zenon_H11f).
% 21.54/21.80 (* end of lemma zenon_L647_ *)
% 21.54/21.80 assert (zenon_L648_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H117 zenon_Hb6 zenon_H54 zenon_H10c zenon_Hf0 zenon_H191 zenon_Ha0 zenon_H115.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.54/21.80 apply (zenon_L151_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.54/21.80 apply (zenon_L74_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.54/21.80 exact (zenon_H191 zenon_H110).
% 21.54/21.80 apply (zenon_L77_); trivial.
% 21.54/21.80 (* end of lemma zenon_L648_ *)
% 21.54/21.80 assert (zenon_L649_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (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 (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((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))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H13c zenon_H25 zenon_Ha0 zenon_H191 zenon_Hf0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H164 zenon_H1cd zenon_H6d zenon_H1bb zenon_H20f zenon_Hc0 zenon_H129 zenon_H1c6 zenon_H12e zenon_H48 zenon_H183 zenon_H163 zenon_H1cb zenon_H8b zenon_H4e zenon_H153 zenon_H1cf zenon_Hfa zenon_H173 zenon_H179 zenon_H13b zenon_H192 zenon_H104 zenon_H67 zenon_H13e zenon_H1ef zenon_H1bf zenon_H141 zenon_H3f zenon_H234 zenon_H1c3 zenon_H77 zenon_H189 zenon_H156 zenon_H2a zenon_H68 zenon_H1a8 zenon_H9f zenon_H18d zenon_Hbb zenon_H120 zenon_H89 zenon_Ha9 zenon_H72 zenon_Hb9 zenon_H195.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.80 apply (zenon_L116_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.80 apply (zenon_L645_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.80 apply (zenon_L54_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.80 apply (zenon_L579_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.80 apply (zenon_L292_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.80 apply (zenon_L257_); trivial.
% 21.54/21.80 apply (zenon_L647_); trivial.
% 21.54/21.80 apply (zenon_L648_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.80 apply (zenon_L436_); trivial.
% 21.54/21.80 apply (zenon_L172_); trivial.
% 21.54/21.80 (* end of lemma zenon_L649_ *)
% 21.54/21.80 assert (zenon_L650_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((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))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.80 do 0 intro. intros zenon_H13a zenon_H164 zenon_H1cd zenon_Hbb zenon_H6d zenon_Ha9 zenon_H1bb zenon_H120 zenon_H20f zenon_Hc0 zenon_H129 zenon_H1c6 zenon_H12e zenon_H48 zenon_H183 zenon_H68 zenon_H77 zenon_H163 zenon_H18d zenon_Hf0 zenon_H3f zenon_H234 zenon_H1c3 zenon_H189 zenon_H1cb zenon_H8b zenon_H4e zenon_H1cf zenon_Hfa zenon_H173 zenon_H179 zenon_H13b zenon_H192 zenon_H104 zenon_H67 zenon_H7e zenon_H13e zenon_H1ef zenon_H1bf zenon_H191 zenon_H141 zenon_Ha0 zenon_H2a zenon_Hb6 zenon_H153 zenon_Hb9 zenon_H196.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.80 apply (zenon_L646_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.80 apply (zenon_L53_); trivial.
% 21.54/21.80 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.80 apply (zenon_L95_); trivial.
% 21.54/21.81 apply (zenon_L154_); trivial.
% 21.54/21.81 (* end of lemma zenon_L650_ *)
% 21.54/21.81 assert (zenon_L651_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.54/21.81 do 0 intro. intros zenon_H125 zenon_H1d5 zenon_H66 zenon_H68 zenon_H25 zenon_H7b zenon_H7e zenon_H77.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.81 apply (zenon_L252_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.81 apply (zenon_L171_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.81 exact (zenon_H7b zenon_H65).
% 21.54/21.81 apply (zenon_L71_); trivial.
% 21.54/21.81 (* end of lemma zenon_L651_ *)
% 21.54/21.81 assert (zenon_L652_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((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))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 21.54/21.81 do 0 intro. intros zenon_H92 zenon_H117 zenon_H13e zenon_H1ef zenon_H89 zenon_H1d5 zenon_H19d zenon_H2a zenon_H15d zenon_H201 zenon_H139 zenon_H16a zenon_H2c zenon_H1b4 zenon_H7b zenon_H13f zenon_H1bf zenon_Hf5 zenon_H125 zenon_H73 zenon_H141 zenon_H13b zenon_H12e zenon_H183 zenon_H163 zenon_Hfa zenon_H173 zenon_H179 zenon_H192 zenon_H104 zenon_H156 zenon_H1a8 zenon_H164 zenon_H68 zenon_H195 zenon_H13c zenon_Hf0 zenon_H1cf zenon_H1c3 zenon_H1cb zenon_H6d zenon_H189 zenon_H120 zenon_H20f zenon_Hc0 zenon_H129 zenon_H1bb zenon_H234 zenon_H3f zenon_H18d zenon_H8b zenon_H4e zenon_H77 zenon_Ha9 zenon_H1cd zenon_H1c6 zenon_H6f zenon_H82 zenon_H48 zenon_Hb6 zenon_Ha0 zenon_H177 zenon_Hbb zenon_H196 zenon_Hb9 zenon_H13a zenon_H23c zenon_H1d8 zenon_H1fb zenon_H7d zenon_Hcc zenon_H121 zenon_H33 zenon_H55 zenon_He4 zenon_H186 zenon_H1fe.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.81 apply (zenon_L161_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.81 apply (zenon_L376_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.81 apply (zenon_L65_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.81 apply (zenon_L376_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.81 apply (zenon_L25_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.81 apply (zenon_L574_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.81 apply (zenon_L61_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.81 apply (zenon_L618_); trivial.
% 21.54/21.81 apply (zenon_L576_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.81 apply (zenon_L53_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.81 apply (zenon_L178_); trivial.
% 21.54/21.81 apply (zenon_L154_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.81 apply (zenon_L147_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.81 apply (zenon_L619_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.81 apply (zenon_L626_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.81 apply (zenon_L53_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.81 apply (zenon_L95_); trivial.
% 21.54/21.81 apply (zenon_L154_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.81 apply (zenon_L574_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.81 exact (zenon_H7b zenon_H65).
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.81 apply (zenon_L574_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.81 apply (zenon_L621_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.81 apply (zenon_L116_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.81 apply (zenon_L627_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.81 apply (zenon_L628_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.81 apply (zenon_L629_); trivial.
% 21.54/21.81 apply (zenon_L77_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.81 apply (zenon_L617_); trivial.
% 21.54/21.81 apply (zenon_L172_); trivial.
% 21.54/21.81 apply (zenon_L63_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.81 apply (zenon_L53_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.81 apply (zenon_L178_); trivial.
% 21.54/21.81 apply (zenon_L92_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.81 apply (zenon_L631_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.81 apply (zenon_L53_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.81 apply (zenon_L95_); trivial.
% 21.54/21.81 apply (zenon_L154_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.81 apply (zenon_L21_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.81 apply (zenon_L94_); trivial.
% 21.54/21.81 apply (zenon_L632_); trivial.
% 21.54/21.81 apply (zenon_L634_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.81 apply (zenon_L627_); trivial.
% 21.54/21.81 apply (zenon_L643_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.54/21.81 apply (zenon_L161_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.54/21.81 apply (zenon_L376_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.54/21.81 apply (zenon_L65_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.54/21.81 apply (zenon_L376_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.54/21.81 apply (zenon_L25_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.81 apply (zenon_L574_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.81 apply (zenon_L61_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.81 apply (zenon_L649_); trivial.
% 21.54/21.81 apply (zenon_L576_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.81 apply (zenon_L53_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.81 apply (zenon_L178_); trivial.
% 21.54/21.81 apply (zenon_L154_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.81 apply (zenon_L147_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.81 apply (zenon_L619_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.81 apply (zenon_L171_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.81 apply (zenon_L61_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.81 apply (zenon_L116_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.81 apply (zenon_L217_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.81 apply (zenon_L54_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.81 apply (zenon_L624_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.81 apply (zenon_L292_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.81 apply (zenon_L257_); trivial.
% 21.54/21.81 apply (zenon_L647_); trivial.
% 21.54/21.81 apply (zenon_L77_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.81 apply (zenon_L617_); trivial.
% 21.54/21.81 apply (zenon_L172_); trivial.
% 21.54/21.81 apply (zenon_L576_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.81 apply (zenon_L53_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.81 apply (zenon_L95_); trivial.
% 21.54/21.81 apply (zenon_L154_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.54/21.81 apply (zenon_L574_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.54/21.81 exact (zenon_H7b zenon_H65).
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.81 apply (zenon_L574_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.81 apply (zenon_L621_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.81 apply (zenon_L116_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.54/21.81 apply (zenon_L645_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.54/21.81 apply (zenon_L628_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.54/21.81 apply (zenon_L629_); trivial.
% 21.54/21.81 apply (zenon_L648_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.81 apply (zenon_L436_); trivial.
% 21.54/21.81 apply (zenon_L172_); trivial.
% 21.54/21.81 apply (zenon_L63_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.81 apply (zenon_L53_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.81 apply (zenon_L178_); trivial.
% 21.54/21.81 apply (zenon_L92_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.54/21.81 apply (zenon_L650_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.54/21.81 apply (zenon_L21_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.54/21.81 apply (zenon_L651_); trivial.
% 21.54/21.81 apply (zenon_L632_); trivial.
% 21.54/21.81 apply (zenon_L634_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.54/21.81 apply (zenon_L645_); trivial.
% 21.54/21.81 apply (zenon_L643_); trivial.
% 21.54/21.81 (* end of lemma zenon_L652_ *)
% 21.54/21.81 assert (zenon_L653_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((op (e2) (e1)) = (e2)) -> False).
% 21.54/21.81 do 0 intro. intros zenon_H91 zenon_H13e zenon_Hbb zenon_H104 zenon_H13d zenon_H89 zenon_H6d.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 21.54/21.81 exact (zenon_H1ba zenon_H6d).
% 21.54/21.81 apply (zenon_L197_); trivial.
% 21.54/21.81 (* end of lemma zenon_L653_ *)
% 21.54/21.81 assert (zenon_L654_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e1) (e1)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((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)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (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) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((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)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> False).
% 21.54/21.81 do 0 intro. intros zenon_H230 zenon_H3f zenon_H2a zenon_H1d8 zenon_H1fb zenon_H48 zenon_H6d zenon_H77 zenon_H234 zenon_H55 zenon_H189 zenon_H23d zenon_H1bb zenon_H1b4 zenon_H1cb zenon_Hb2 zenon_H1ef zenon_H173 zenon_H183 zenon_H111 zenon_H13b zenon_H4e zenon_Hfa zenon_H179 zenon_H82 zenon_H1c6 zenon_Hcc zenon_H131 zenon_H109 zenon_Ha0 zenon_H141 zenon_H11a zenon_H18d zenon_Ha9 zenon_H1cf zenon_H12e zenon_H186 zenon_H1d5 zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H192 zenon_H1c3 zenon_Hb6 zenon_H196 zenon_H117 zenon_Hf5 zenon_H13c zenon_Hf0 zenon_H68 zenon_H236 zenon_H13a zenon_H33 zenon_H15d zenon_H139 zenon_H23c zenon_H140 zenon_Hbc zenon_H6f zenon_H1fe zenon_H13e zenon_H19d zenon_H201 zenon_H16a zenon_H2c zenon_H13f zenon_H125 zenon_H73 zenon_H163 zenon_H104 zenon_H156 zenon_H1a8 zenon_H164 zenon_H195 zenon_H20f zenon_H129 zenon_H177 zenon_H121 zenon_He4.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H120 | zenon_intro zenon_Hac ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.54/21.81 apply (zenon_L2_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.54/21.81 apply (zenon_L482_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.54/21.81 apply (zenon_L315_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.54/21.81 apply (zenon_L317_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.54/21.81 apply (zenon_L318_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.54/21.81 apply (zenon_L11_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.54/21.81 apply (zenon_L319_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.54/21.81 apply (zenon_L485_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.54/21.81 apply (zenon_L435_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.54/21.81 apply (zenon_L522_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.54/21.81 apply (zenon_L37_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.54/21.81 apply (zenon_L458_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.54/21.81 apply (zenon_L613_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.54/21.81 apply (zenon_L531_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.54/21.81 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 21.54/21.81 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 21.54/21.81 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.54/21.81 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.54/21.81 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 21.54/21.81 exact (zenon_H1ba zenon_H6d).
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.54/21.81 apply (zenon_L652_); trivial.
% 21.54/21.81 apply (zenon_L652_); trivial.
% 21.54/21.81 apply (zenon_L653_); trivial.
% 21.54/21.81 apply (zenon_L51_); trivial.
% 21.54/21.81 apply (zenon_L588_); trivial.
% 21.54/21.81 (* end of lemma zenon_L654_ *)
% 21.54/21.81 assert (zenon_L655_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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 (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (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) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.81 do 0 intro. intros zenon_He4 zenon_H177 zenon_H20f zenon_H195 zenon_H164 zenon_H1a8 zenon_H104 zenon_H73 zenon_H125 zenon_H13f zenon_H2c zenon_H16a zenon_H19d zenon_H13e zenon_H1fe zenon_H6f zenon_Hbc zenon_H140 zenon_H23c zenon_H139 zenon_H15d zenon_H13a zenon_H236 zenon_Hf0 zenon_H13c zenon_Hf5 zenon_H117 zenon_H196 zenon_H1c3 zenon_H192 zenon_H1b7 zenon_H7d zenon_H24e zenon_H1d5 zenon_H186 zenon_H11a zenon_H141 zenon_Ha0 zenon_H109 zenon_H131 zenon_Hcc zenon_H1c6 zenon_H82 zenon_H179 zenon_Hfa zenon_H4e zenon_H13b zenon_H111 zenon_H173 zenon_H1ef zenon_Hb2 zenon_H1cb zenon_H1b4 zenon_H1bb zenon_H23d zenon_H189 zenon_H55 zenon_H234 zenon_H1fb zenon_H1d8 zenon_H2a zenon_H230 zenon_H201 zenon_H1cd zenon_H8b zenon_H12e zenon_H48 zenon_H136 zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H163 zenon_H18d zenon_Hbb zenon_H120 zenon_H1cf zenon_H156 zenon_H3f zenon_H1bf zenon_H121 zenon_H33 zenon_H9f zenon_Ha9 zenon_Hb6 zenon_Hb9 zenon_H129.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.54/21.81 apply (zenon_L147_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.54/21.81 apply (zenon_L569_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.54/21.81 apply (zenon_L654_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.81 apply (zenon_L94_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.81 apply (zenon_L578_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.81 exact (zenon_H8b zenon_H8a).
% 21.54/21.81 apply (zenon_L240_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.81 apply (zenon_L486_); trivial.
% 21.54/21.81 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.81 exact (zenon_H1bf zenon_H105).
% 21.54/21.81 apply (zenon_L493_); trivial.
% 21.54/21.81 (* end of lemma zenon_L655_ *)
% 21.54/21.81 assert (zenon_L656_ : ((op (e0) (e2)) = (e1)) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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 (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (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) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.82 do 0 intro. intros zenon_H153 zenon_Hc0 zenon_H7b zenon_He4 zenon_H177 zenon_H20f zenon_H195 zenon_H164 zenon_H1a8 zenon_H104 zenon_H73 zenon_H125 zenon_H13f zenon_H2c zenon_H16a zenon_H19d zenon_H13e zenon_H1fe zenon_H6f zenon_Hbc zenon_H140 zenon_H23c zenon_H139 zenon_H15d zenon_H13a zenon_H236 zenon_Hf0 zenon_H13c zenon_Hf5 zenon_H117 zenon_H196 zenon_H1c3 zenon_H192 zenon_H1b7 zenon_H7d zenon_H24e zenon_H1d5 zenon_H186 zenon_H11a zenon_H141 zenon_Ha0 zenon_H109 zenon_H131 zenon_Hcc zenon_H1c6 zenon_H82 zenon_H179 zenon_Hfa zenon_H4e zenon_H13b zenon_H111 zenon_H173 zenon_H1ef zenon_Hb2 zenon_H1cb zenon_H1b4 zenon_H1bb zenon_H23d zenon_H189 zenon_H55 zenon_H234 zenon_H1fb zenon_H1d8 zenon_H2a zenon_H230 zenon_H201 zenon_H1cd zenon_H8b zenon_H12e zenon_H48 zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H163 zenon_H18d zenon_Hbb zenon_H120 zenon_H1cf zenon_H156 zenon_H3f zenon_H1bf zenon_H121 zenon_H33 zenon_H9f zenon_Ha9 zenon_Hb6 zenon_Hb9 zenon_H129.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.54/21.82 apply (zenon_L297_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.54/21.82 apply (zenon_L272_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.54/21.82 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.54/21.82 apply (zenon_L147_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.54/21.82 apply (zenon_L569_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.54/21.82 apply (zenon_L574_); trivial.
% 21.54/21.82 apply (zenon_L575_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.54/21.82 apply (zenon_L568_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.54/21.82 apply (zenon_L62_); trivial.
% 21.54/21.82 apply (zenon_L580_); trivial.
% 21.54/21.82 apply (zenon_L655_); trivial.
% 21.54/21.82 (* end of lemma zenon_L656_ *)
% 21.54/21.82 assert (zenon_L657_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.54/21.82 do 0 intro. intros zenon_H129 zenon_Ha9 zenon_H33 zenon_H121 zenon_H1bf zenon_H1cf zenon_H163 zenon_H183 zenon_H48 zenon_H8b zenon_H1cd zenon_H201 zenon_H230 zenon_H1d8 zenon_H1fb zenon_H55 zenon_H23d zenon_H1bb zenon_H1b4 zenon_H1cb zenon_Hb2 zenon_H1ef zenon_H173 zenon_H111 zenon_H13b zenon_H4e zenon_Hfa zenon_H179 zenon_H82 zenon_H1c6 zenon_Hcc zenon_H131 zenon_H109 zenon_Ha0 zenon_H141 zenon_H11a zenon_H186 zenon_H1d5 zenon_H24e zenon_H7d zenon_H1b7 zenon_H196 zenon_H117 zenon_Hf5 zenon_H13c zenon_Hf0 zenon_H236 zenon_H13a zenon_H15d zenon_H139 zenon_H23c zenon_H140 zenon_Hbc zenon_H6f zenon_H1fe zenon_H13e zenon_H19d zenon_H16a zenon_H2c zenon_H13f zenon_H125 zenon_H73 zenon_H164 zenon_H195 zenon_H20f zenon_H177 zenon_He4 zenon_H7b zenon_Hc0 zenon_H153 zenon_H192 zenon_H14c zenon_H104 zenon_H12e zenon_H67 zenon_Hb9 zenon_H3f zenon_H234 zenon_H1c3 zenon_H10c zenon_H77 zenon_H189 zenon_H72 zenon_H156 zenon_H2a zenon_H68 zenon_H1a8 zenon_H9f zenon_H18d zenon_Hbb zenon_Hb6 zenon_H120.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.82 apply (zenon_L656_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.82 apply (zenon_L292_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.82 apply (zenon_L257_); trivial.
% 21.54/21.82 apply (zenon_L616_); trivial.
% 21.54/21.82 (* end of lemma zenon_L657_ *)
% 21.54/21.82 assert (zenon_L658_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.54/21.82 do 0 intro. intros zenon_H212 zenon_H25 zenon_H179 zenon_H7f zenon_H7d zenon_H160 zenon_Hbb zenon_Hbc.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H34 | zenon_intro zenon_H213 ].
% 21.54/21.82 apply (zenon_L297_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H7e | zenon_intro zenon_H214 ].
% 21.54/21.82 apply (zenon_L31_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H102 | zenon_intro zenon_H9d ].
% 21.54/21.82 apply (zenon_L104_); trivial.
% 21.54/21.82 apply (zenon_L48_); trivial.
% 21.54/21.82 (* end of lemma zenon_L658_ *)
% 21.54/21.82 assert (zenon_L659_ : (~((op (op (e3) (e3)) (op (e3) (e3))) = (op (e1) (e1)))) -> ((op (e3) (e3)) = (e1)) -> False).
% 21.54/21.82 do 0 intro. intros zenon_H253 zenon_H11f.
% 21.54/21.82 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H120].
% 21.54/21.82 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H120].
% 21.54/21.82 congruence.
% 21.54/21.82 exact (zenon_H120 zenon_H11f).
% 21.54/21.82 exact (zenon_H120 zenon_H11f).
% 21.54/21.82 (* end of lemma zenon_L659_ *)
% 21.54/21.82 assert (zenon_L660_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e1)) -> False).
% 21.54/21.82 do 0 intro. intros zenon_H254 zenon_H11f.
% 21.54/21.82 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H120].
% 21.54/21.82 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.54/21.82 congruence.
% 21.54/21.82 apply zenon_Ha2. apply refl_equal.
% 21.54/21.82 exact (zenon_H120 zenon_H11f).
% 21.54/21.82 (* end of lemma zenon_L660_ *)
% 21.54/21.82 assert (zenon_L661_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (op (e3) (op (e3) (e3))))) -> False).
% 21.54/21.82 do 0 intro. intros zenon_He0 zenon_H11f zenon_H255.
% 21.54/21.82 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H244 | zenon_intro zenon_H245 ].
% 21.54/21.82 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e0) = (op (e3) (op (e3) (e3))))).
% 21.54/21.82 intro zenon_D_pnotp.
% 21.54/21.82 apply zenon_H255.
% 21.54/21.82 rewrite <- zenon_D_pnotp.
% 21.54/21.82 exact zenon_H244.
% 21.54/21.82 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H245].
% 21.54/21.82 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H256].
% 21.54/21.82 congruence.
% 21.54/21.82 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))).
% 21.54/21.82 intro zenon_D_pnotp.
% 21.54/21.82 apply zenon_H256.
% 21.54/21.82 rewrite <- zenon_D_pnotp.
% 21.54/21.82 exact zenon_He0.
% 21.54/21.82 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.54/21.82 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H257].
% 21.54/21.82 congruence.
% 21.54/21.82 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H244 | zenon_intro zenon_H245 ].
% 21.54/21.82 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))).
% 21.54/21.82 intro zenon_D_pnotp.
% 21.54/21.82 apply zenon_H257.
% 21.54/21.82 rewrite <- zenon_D_pnotp.
% 21.54/21.82 exact zenon_H244.
% 21.54/21.82 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H245].
% 21.54/21.82 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H254].
% 21.54/21.82 congruence.
% 21.54/21.82 apply (zenon_L660_); trivial.
% 21.54/21.82 apply zenon_H245. apply refl_equal.
% 21.54/21.82 apply zenon_H245. apply refl_equal.
% 21.54/21.82 apply zenon_H46. apply refl_equal.
% 21.54/21.82 apply zenon_H245. apply refl_equal.
% 21.54/21.82 apply zenon_H245. apply refl_equal.
% 21.54/21.82 (* end of lemma zenon_L661_ *)
% 21.54/21.82 assert (zenon_L662_ : ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> False).
% 21.54/21.82 do 0 intro. intros zenon_Hef zenon_He0 zenon_H11f.
% 21.54/21.82 apply (zenon_notand_s _ _ ax21); [ zenon_intro zenon_H249 | zenon_intro zenon_H258 ].
% 21.54/21.82 elim (classic ((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ].
% 21.54/21.82 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3)))) = ((e2) = (op (op (e3) (e3)) (op (e3) (e3))))).
% 21.54/21.82 intro zenon_D_pnotp.
% 21.54/21.82 apply zenon_H249.
% 21.54/21.82 rewrite <- zenon_D_pnotp.
% 21.54/21.82 exact zenon_H24a.
% 21.54/21.82 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24b].
% 21.54/21.82 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 21.54/21.82 congruence.
% 21.54/21.82 cut (((op (e1) (e1)) = (e2)) = ((op (op (e3) (e3)) (op (e3) (e3))) = (e2))).
% 21.54/21.82 intro zenon_D_pnotp.
% 21.54/21.82 apply zenon_H24c.
% 21.54/21.82 rewrite <- zenon_D_pnotp.
% 21.54/21.82 exact zenon_Hef.
% 21.54/21.82 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.54/21.82 cut (((op (e1) (e1)) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H259].
% 21.54/21.82 congruence.
% 21.54/21.82 elim (classic ((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ].
% 21.54/21.82 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3)))) = ((op (e1) (e1)) = (op (op (e3) (e3)) (op (e3) (e3))))).
% 21.54/21.82 intro zenon_D_pnotp.
% 21.54/21.82 apply zenon_H259.
% 21.54/21.82 rewrite <- zenon_D_pnotp.
% 21.54/21.82 exact zenon_H24a.
% 21.54/21.82 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24b].
% 21.54/21.82 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H253].
% 21.54/21.82 congruence.
% 21.54/21.82 apply (zenon_L659_); trivial.
% 21.54/21.82 apply zenon_H24b. apply refl_equal.
% 21.54/21.82 apply zenon_H24b. apply refl_equal.
% 21.54/21.82 apply zenon_H6a. apply refl_equal.
% 21.54/21.82 apply zenon_H24b. apply refl_equal.
% 21.54/21.82 apply zenon_H24b. apply refl_equal.
% 21.54/21.82 apply (zenon_notand_s _ _ zenon_H258); [ zenon_intro zenon_H25a | zenon_intro zenon_H255 ].
% 21.54/21.82 apply zenon_H25a. apply sym_equal. exact zenon_H11f.
% 21.54/21.82 apply (zenon_L661_); trivial.
% 21.54/21.82 (* end of lemma zenon_L662_ *)
% 21.54/21.82 assert (zenon_L663_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False).
% 21.54/21.82 do 0 intro. intros zenon_Hf5 zenon_H38 zenon_H136.
% 21.54/21.82 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 21.54/21.82 intro zenon_D_pnotp.
% 21.54/21.82 apply zenon_Hf5.
% 21.54/21.82 rewrite <- zenon_D_pnotp.
% 21.54/21.82 exact zenon_H38.
% 21.54/21.82 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H215].
% 21.54/21.82 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 21.54/21.82 congruence.
% 21.54/21.82 apply zenon_Hf9. apply refl_equal.
% 21.54/21.82 apply zenon_H215. apply sym_equal. exact zenon_H136.
% 21.54/21.82 (* end of lemma zenon_L663_ *)
% 21.54/21.82 assert (zenon_L664_ : (((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) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.82 do 0 intro. intros zenon_H25b zenon_H38 zenon_Hf5 zenon_H186 zenon_H4d zenon_H20f zenon_H17c zenon_Hb9 zenon_H195.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H136 | zenon_intro zenon_H25c ].
% 21.54/21.82 apply (zenon_L663_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H5c | zenon_intro zenon_H25d ].
% 21.54/21.82 apply (zenon_L138_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Ha5 ].
% 21.54/21.82 apply (zenon_L570_); trivial.
% 21.54/21.82 apply (zenon_L172_); trivial.
% 21.54/21.82 (* end of lemma zenon_L664_ *)
% 21.54/21.82 assert (zenon_L665_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.82 do 0 intro. intros zenon_H25e zenon_H136 zenon_Hf5 zenon_H9f zenon_H1b4 zenon_H17c zenon_Hb9 zenon_H196.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H38 | zenon_intro zenon_H25f ].
% 21.54/21.82 apply (zenon_L663_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H155 | zenon_intro zenon_H260 ].
% 21.54/21.82 apply (zenon_L444_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H9e ].
% 21.54/21.82 apply (zenon_L347_); trivial.
% 21.54/21.82 apply (zenon_L154_); trivial.
% 21.54/21.82 (* end of lemma zenon_L665_ *)
% 21.54/21.82 assert (zenon_L666_ : (((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)) = (op (e3) (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 (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (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) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 21.54/21.82 do 0 intro. intros zenon_H19a zenon_H195 zenon_H20f zenon_H4d zenon_H186 zenon_H25b zenon_H196 zenon_H1b4 zenon_H9f zenon_Hf5 zenon_H25e zenon_Hb9 zenon_Ha0 zenon_H68 zenon_H17c.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.54/21.82 apply (zenon_L664_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.54/21.82 apply (zenon_L665_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.54/21.82 apply (zenon_L77_); trivial.
% 21.54/21.82 apply (zenon_L295_); trivial.
% 21.54/21.82 (* end of lemma zenon_L666_ *)
% 21.54/21.82 assert (zenon_L667_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.54/21.82 do 0 intro. intros zenon_He4 zenon_Hb6 zenon_Hdb zenon_H156 zenon_H4d zenon_H129 zenon_H17c zenon_H8b zenon_H77 zenon_H7b zenon_H16a zenon_H7d zenon_H7e.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.54/21.82 apply (zenon_L55_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.54/21.82 apply (zenon_L486_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.54/21.82 apply (zenon_L127_); trivial.
% 21.54/21.82 apply (zenon_L31_); trivial.
% 21.54/21.82 (* end of lemma zenon_L667_ *)
% 21.54/21.82 assert (zenon_L668_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e0) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.82 do 0 intro. intros zenon_H13a zenon_H68 zenon_Ha0 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H25b zenon_H186 zenon_H20f zenon_H195 zenon_H19a zenon_H7e zenon_H7d zenon_H16a zenon_H7b zenon_H77 zenon_H8b zenon_H17c zenon_H129 zenon_H4d zenon_H156 zenon_Hb6 zenon_He4 zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.54/21.82 apply (zenon_L666_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.54/21.82 apply (zenon_L667_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.54/21.82 apply (zenon_L178_); trivial.
% 21.54/21.82 apply (zenon_L154_); trivial.
% 21.54/21.82 (* end of lemma zenon_L668_ *)
% 21.54/21.82 assert (zenon_L669_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> (((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)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (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))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.54/21.82 do 0 intro. intros zenon_H1bb zenon_H67 zenon_He0 zenon_Hef zenon_H196 zenon_Hb9 zenon_Hbb zenon_H177 zenon_He4 zenon_Hb6 zenon_H156 zenon_H4d zenon_H8b zenon_H77 zenon_H7b zenon_H16a zenon_H7d zenon_H7e zenon_H19a zenon_H195 zenon_H20f zenon_H186 zenon_H25b zenon_H1b4 zenon_Hf5 zenon_H25e zenon_Ha0 zenon_H68 zenon_H13a zenon_Hc0 zenon_H129.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.54/21.82 apply (zenon_L547_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.54/21.82 apply (zenon_L662_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.54/21.82 apply (zenon_L668_); trivial.
% 21.54/21.82 apply (zenon_L190_); trivial.
% 21.54/21.82 (* end of lemma zenon_L669_ *)
% 21.54/21.82 assert (zenon_L670_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e0) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.54/21.82 do 0 intro. intros zenon_H164 zenon_H48 zenon_H129 zenon_Hc0 zenon_H13a zenon_H68 zenon_Ha0 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H25b zenon_H186 zenon_H20f zenon_H195 zenon_H19a zenon_H7d zenon_H16a zenon_H7b zenon_H77 zenon_H8b zenon_H4d zenon_H156 zenon_Hb6 zenon_He4 zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196 zenon_Hef zenon_H1bb zenon_H14c zenon_H104 zenon_H67 zenon_H7e.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.82 apply (zenon_L456_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.82 apply (zenon_L669_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.82 apply (zenon_L257_); trivial.
% 21.54/21.82 apply (zenon_L547_); trivial.
% 21.54/21.82 (* end of lemma zenon_L670_ *)
% 21.54/21.82 assert (zenon_L671_ : (((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 (e3) (e3)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.82 do 0 intro. intros zenon_H25b zenon_H38 zenon_Hf5 zenon_H20f zenon_H11f zenon_H93 zenon_Hb9 zenon_H195.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H136 | zenon_intro zenon_H25c ].
% 21.54/21.82 apply (zenon_L663_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H5c | zenon_intro zenon_H25d ].
% 21.54/21.82 apply (zenon_L412_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Ha5 ].
% 21.54/21.82 apply (zenon_L228_); trivial.
% 21.54/21.82 apply (zenon_L172_); trivial.
% 21.54/21.82 (* end of lemma zenon_L671_ *)
% 21.54/21.82 assert (zenon_L672_ : ((op (e0) (e3)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (op (e0) (op (e0) (e0))))) -> False).
% 21.54/21.82 do 0 intro. intros zenon_Hf6 zenon_H9f zenon_H261.
% 21.54/21.82 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H21a | zenon_intro zenon_H21b ].
% 21.54/21.82 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e2) = (op (e0) (op (e0) (e0))))).
% 21.54/21.82 intro zenon_D_pnotp.
% 21.54/21.82 apply zenon_H261.
% 21.54/21.82 rewrite <- zenon_D_pnotp.
% 21.54/21.82 exact zenon_H21a.
% 21.54/21.82 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H21b].
% 21.54/21.82 cut (((op (e0) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H262].
% 21.54/21.82 congruence.
% 21.54/21.82 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (op (e0) (e0))) = (e2))).
% 21.54/21.82 intro zenon_D_pnotp.
% 21.54/21.82 apply zenon_H262.
% 21.54/21.82 rewrite <- zenon_D_pnotp.
% 21.54/21.82 exact zenon_Hf6.
% 21.54/21.82 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.54/21.82 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 21.54/21.82 congruence.
% 21.54/21.82 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H21a | zenon_intro zenon_H21b ].
% 21.54/21.82 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))).
% 21.54/21.82 intro zenon_D_pnotp.
% 21.54/21.82 apply zenon_H21d.
% 21.54/21.82 rewrite <- zenon_D_pnotp.
% 21.54/21.82 exact zenon_H21a.
% 21.54/21.82 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H21b].
% 21.54/21.82 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H218].
% 21.54/21.82 congruence.
% 21.54/21.82 apply (zenon_L442_); trivial.
% 21.54/21.82 apply zenon_H21b. apply refl_equal.
% 21.54/21.82 apply zenon_H21b. apply refl_equal.
% 21.54/21.82 apply zenon_H6a. apply refl_equal.
% 21.54/21.82 apply zenon_H21b. apply refl_equal.
% 21.54/21.82 apply zenon_H21b. apply refl_equal.
% 21.54/21.82 (* end of lemma zenon_L672_ *)
% 21.54/21.82 assert (zenon_L673_ : ((op (e3) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> False).
% 21.54/21.82 do 0 intro. intros zenon_H11f zenon_Hf6 zenon_H9f.
% 21.54/21.82 apply (zenon_notand_s _ _ ax16); [ zenon_intro zenon_H229 | zenon_intro zenon_H263 ].
% 21.54/21.82 elim (classic ((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H220 | zenon_intro zenon_H221 ].
% 21.54/21.82 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0)))) = ((e1) = (op (op (e0) (e0)) (op (e0) (e0))))).
% 21.54/21.82 intro zenon_D_pnotp.
% 21.54/21.82 apply zenon_H229.
% 21.54/21.82 rewrite <- zenon_D_pnotp.
% 21.54/21.82 exact zenon_H220.
% 21.54/21.82 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H221].
% 21.54/21.82 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22a].
% 21.54/21.82 congruence.
% 21.54/21.82 cut (((op (e3) (e3)) = (e1)) = ((op (op (e0) (e0)) (op (e0) (e0))) = (e1))).
% 21.54/21.82 intro zenon_D_pnotp.
% 21.54/21.82 apply zenon_H22a.
% 21.54/21.82 rewrite <- zenon_D_pnotp.
% 21.54/21.82 exact zenon_H11f.
% 21.54/21.82 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.54/21.82 cut (((op (e3) (e3)) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H223].
% 21.54/21.82 congruence.
% 21.54/21.82 elim (classic ((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H220 | zenon_intro zenon_H221 ].
% 21.54/21.82 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0)))) = ((op (e3) (e3)) = (op (op (e0) (e0)) (op (e0) (e0))))).
% 21.54/21.82 intro zenon_D_pnotp.
% 21.54/21.82 apply zenon_H223.
% 21.54/21.82 rewrite <- zenon_D_pnotp.
% 21.54/21.82 exact zenon_H220.
% 21.54/21.82 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H221].
% 21.54/21.82 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 21.54/21.82 congruence.
% 21.54/21.82 apply (zenon_L441_); trivial.
% 21.54/21.82 apply zenon_H221. apply refl_equal.
% 21.54/21.82 apply zenon_H221. apply refl_equal.
% 21.54/21.82 apply zenon_H4a. apply refl_equal.
% 21.54/21.82 apply zenon_H221. apply refl_equal.
% 21.54/21.82 apply zenon_H221. apply refl_equal.
% 21.54/21.82 apply (zenon_notand_s _ _ zenon_H263); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H261 ].
% 21.54/21.82 apply zenon_H1d3. apply sym_equal. exact zenon_H9f.
% 21.54/21.82 apply (zenon_L672_); trivial.
% 21.54/21.82 (* end of lemma zenon_L673_ *)
% 21.54/21.82 assert (zenon_L674_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (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 (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e3)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.82 do 0 intro. intros zenon_H25e zenon_H195 zenon_H93 zenon_H20f zenon_Hf5 zenon_H25b zenon_H1b4 zenon_H9f zenon_H11f zenon_Hb9 zenon_H196.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H38 | zenon_intro zenon_H25f ].
% 21.54/21.82 apply (zenon_L671_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H155 | zenon_intro zenon_H260 ].
% 21.54/21.82 apply (zenon_L187_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H9e ].
% 21.54/21.82 apply (zenon_L673_); trivial.
% 21.54/21.82 apply (zenon_L154_); trivial.
% 21.54/21.82 (* end of lemma zenon_L674_ *)
% 21.54/21.82 assert (zenon_L675_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((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)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (((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)) = (op (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 (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.82 do 0 intro. intros zenon_Hf0 zenon_H1cf zenon_H1d5 zenon_H12e zenon_H67 zenon_H104 zenon_H14c zenon_H1bb zenon_Hef zenon_H177 zenon_He4 zenon_Hb6 zenon_H156 zenon_H4d zenon_H8b zenon_H7b zenon_H16a zenon_H19a zenon_H186 zenon_Ha0 zenon_H68 zenon_H13a zenon_Hc0 zenon_H129 zenon_H48 zenon_H164 zenon_Hbc zenon_Hbb zenon_H7d zenon_H179 zenon_H25 zenon_H212 zenon_H77 zenon_H25e zenon_H195 zenon_H20f zenon_Hf5 zenon_H25b zenon_H1b4 zenon_H9f zenon_Hb9 zenon_H196.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.54/21.82 exact (zenon_H7b zenon_H65).
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.54/21.82 apply (zenon_L61_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.54/21.82 exact (zenon_H8b zenon_H8a).
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.82 apply (zenon_L252_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.82 apply (zenon_L100_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.82 exact (zenon_H8b zenon_H8a).
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.82 apply (zenon_L670_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.82 apply (zenon_L658_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.82 apply (zenon_L367_); trivial.
% 21.54/21.82 apply (zenon_L674_); trivial.
% 21.54/21.82 (* end of lemma zenon_L675_ *)
% 21.54/21.82 assert (zenon_L676_ : (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((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 (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 21.54/21.82 do 0 intro. intros zenon_H120 zenon_H192 zenon_H2a zenon_H3f zenon_H11a zenon_Ha9 zenon_H33 zenon_H121 zenon_H163 zenon_H183 zenon_H1cd zenon_H201 zenon_H230 zenon_H1d8 zenon_H1fb zenon_H55 zenon_H23d zenon_H1cb zenon_Hb2 zenon_H1ef zenon_H173 zenon_H111 zenon_H13b zenon_H4e zenon_Hfa zenon_H82 zenon_H1c6 zenon_Hcc zenon_H131 zenon_H109 zenon_H141 zenon_H24e zenon_H1b7 zenon_H117 zenon_H13c zenon_H236 zenon_H15d zenon_H139 zenon_H23c zenon_H140 zenon_H6f zenon_H1fe zenon_H13e zenon_H19d zenon_H2c zenon_H13f zenon_H125 zenon_H73 zenon_H234 zenon_H1c3 zenon_H10c zenon_H189 zenon_H1a8 zenon_H18d zenon_H196 zenon_Hb9 zenon_H9f zenon_H1b4 zenon_H25b zenon_Hf5 zenon_H20f zenon_H195 zenon_H25e zenon_H77 zenon_H212 zenon_H25 zenon_H179 zenon_H7d zenon_Hbc zenon_H164 zenon_H48 zenon_H129 zenon_Hc0 zenon_H13a zenon_H68 zenon_Ha0 zenon_H186 zenon_H19a zenon_H16a zenon_H7b zenon_H8b zenon_H156 zenon_He4 zenon_H177 zenon_Hef zenon_H1bb zenon_H14c zenon_H104 zenon_H67 zenon_H12e zenon_H1d5 zenon_H1cf zenon_Hf0 zenon_H1bf zenon_Hb6 zenon_Hbb.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.54/21.82 apply (zenon_L94_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.54/21.82 apply (zenon_L657_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.54/21.82 exact (zenon_H8b zenon_H8a).
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.54/21.82 apply (zenon_L553_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.54/21.82 apply (zenon_L292_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.54/21.82 apply (zenon_L257_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.54/21.82 apply (zenon_L547_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.54/21.82 apply (zenon_L658_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.54/21.82 apply (zenon_L367_); trivial.
% 21.54/21.82 exact (zenon_H120 zenon_H11f).
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.54/21.82 apply (zenon_L675_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.54/21.82 exact (zenon_H1bf zenon_H105).
% 21.54/21.82 apply (zenon_L363_); trivial.
% 21.54/21.82 (* end of lemma zenon_L676_ *)
% 21.54/21.82 assert (zenon_L677_ : (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((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 (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.54/21.82 do 0 intro. intros zenon_Ha0 zenon_H120 zenon_H192 zenon_H2a zenon_H3f zenon_H11a zenon_Ha9 zenon_H33 zenon_H121 zenon_H183 zenon_H1cd zenon_H201 zenon_H230 zenon_H1d8 zenon_H1fb zenon_H55 zenon_H23d zenon_H1cb zenon_Hb2 zenon_H1ef zenon_H173 zenon_H111 zenon_H13b zenon_H4e zenon_Hfa zenon_H82 zenon_H1c6 zenon_Hcc zenon_H131 zenon_H109 zenon_H141 zenon_H24e zenon_H1b7 zenon_H117 zenon_H13c zenon_H236 zenon_H15d zenon_H139 zenon_H23c zenon_H140 zenon_H6f zenon_H1fe zenon_H13e zenon_H19d zenon_H2c zenon_H13f zenon_H125 zenon_H73 zenon_H234 zenon_H1c3 zenon_H189 zenon_H1a8 zenon_H18d zenon_H196 zenon_H9f zenon_H1b4 zenon_H25b zenon_Hf5 zenon_H20f zenon_H25e zenon_H77 zenon_H212 zenon_H25 zenon_H179 zenon_H7d zenon_Hbc zenon_H164 zenon_H48 zenon_H129 zenon_Hc0 zenon_H13a zenon_H68 zenon_H186 zenon_H19a zenon_H16a zenon_H7b zenon_H8b zenon_H156 zenon_He4 zenon_H177 zenon_Hef zenon_H1bb zenon_H104 zenon_H67 zenon_H12e zenon_H1d5 zenon_H1cf zenon_Hf0 zenon_H1bf zenon_Hb6 zenon_H163 zenon_Hbb zenon_Hb9 zenon_H195.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.54/21.82 apply (zenon_L116_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.54/21.82 apply (zenon_L254_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.54/21.82 apply (zenon_L274_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.54/21.82 apply (zenon_L676_); trivial.
% 21.54/21.82 apply (zenon_L80_); trivial.
% 21.54/21.82 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.54/21.82 apply (zenon_L617_); trivial.
% 21.54/21.82 apply (zenon_L172_); trivial.
% 21.54/21.82 (* end of lemma zenon_L677_ *)
% 21.54/21.82 assert (zenon_L678_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 21.68/21.83 do 0 intro. intros zenon_H201 zenon_H48 zenon_H31 zenon_H77 zenon_H72 zenon_H1bf zenon_Hb6 zenon_Hbb.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.68/21.83 apply (zenon_L239_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.68/21.83 apply (zenon_L59_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.68/21.83 exact (zenon_H1bf zenon_H105).
% 21.68/21.83 apply (zenon_L363_); trivial.
% 21.68/21.83 (* end of lemma zenon_L678_ *)
% 21.68/21.83 assert (zenon_L679_ : (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e2)) = (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))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (((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)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (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) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.68/21.83 do 0 intro. intros zenon_H120 zenon_Hbb zenon_H18d zenon_H1a8 zenon_H68 zenon_H2a zenon_H156 zenon_H189 zenon_H10c zenon_H1c3 zenon_H234 zenon_H3f zenon_H67 zenon_H12e zenon_H104 zenon_H14c zenon_H192 zenon_Hc0 zenon_H7b zenon_He4 zenon_H177 zenon_H20f zenon_H195 zenon_H164 zenon_H73 zenon_H125 zenon_H13f zenon_H2c zenon_H16a zenon_H19d zenon_H13e zenon_H1fe zenon_H6f zenon_Hbc zenon_H140 zenon_H23c zenon_H139 zenon_H15d zenon_H13a zenon_H236 zenon_Hf0 zenon_H13c zenon_Hf5 zenon_H117 zenon_H196 zenon_H1b7 zenon_H7d zenon_H24e zenon_H1d5 zenon_H186 zenon_H11a zenon_H141 zenon_Ha0 zenon_H109 zenon_H131 zenon_Hcc zenon_H1c6 zenon_H82 zenon_H179 zenon_Hfa zenon_H4e zenon_H13b zenon_H111 zenon_H173 zenon_H1ef zenon_Hb2 zenon_H1cb zenon_H1b4 zenon_H1bb zenon_H23d zenon_H55 zenon_H1fb zenon_H1d8 zenon_H230 zenon_H201 zenon_H1cd zenon_H8b zenon_H48 zenon_H183 zenon_H163 zenon_H1cf zenon_H77 zenon_H72 zenon_H1bf zenon_H121 zenon_H33 zenon_H9f zenon_H171 zenon_Ha9 zenon_Hb6 zenon_Hb9 zenon_H129.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.68/21.83 apply (zenon_L657_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.68/21.83 apply (zenon_L59_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.68/21.83 exact (zenon_H1bf zenon_H105).
% 21.68/21.83 apply (zenon_L493_); trivial.
% 21.68/21.83 (* end of lemma zenon_L679_ *)
% 21.68/21.83 assert (zenon_L680_ : ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (((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))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (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 (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (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) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e0) = (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))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.83 do 0 intro. intros zenon_H25 zenon_Ha0 zenon_H120 zenon_H18d zenon_H1a8 zenon_H68 zenon_H2a zenon_H156 zenon_H189 zenon_H1c3 zenon_H234 zenon_H3f zenon_H67 zenon_H12e zenon_H104 zenon_H192 zenon_Hc0 zenon_H7b zenon_He4 zenon_H177 zenon_H20f zenon_H164 zenon_H73 zenon_H125 zenon_H13f zenon_H2c zenon_H16a zenon_H19d zenon_H13e zenon_H1fe zenon_H6f zenon_Hbc zenon_H140 zenon_H23c zenon_H139 zenon_H15d zenon_H13a zenon_H236 zenon_Hf0 zenon_H13c zenon_Hf5 zenon_H117 zenon_H196 zenon_H1b7 zenon_H7d zenon_H24e zenon_H1d5 zenon_H186 zenon_H11a zenon_H141 zenon_H109 zenon_H131 zenon_Hcc zenon_H1c6 zenon_H82 zenon_H179 zenon_Hfa zenon_H4e zenon_H13b zenon_H111 zenon_H173 zenon_H1ef zenon_Hb2 zenon_H1cb zenon_H1b4 zenon_H1bb zenon_H23d zenon_H55 zenon_H1fb zenon_H1d8 zenon_H230 zenon_H201 zenon_H1cd zenon_H8b zenon_H48 zenon_H183 zenon_H1cf zenon_H77 zenon_H72 zenon_H1bf zenon_H121 zenon_H33 zenon_H9f zenon_H171 zenon_Ha9 zenon_Hb6 zenon_H129 zenon_H163 zenon_Hbb zenon_Hb9 zenon_H195.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.68/21.83 apply (zenon_L116_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.68/21.83 apply (zenon_L678_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.68/21.83 apply (zenon_L62_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.68/21.83 apply (zenon_L679_); trivial.
% 21.68/21.83 apply (zenon_L80_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.68/21.83 apply (zenon_L617_); trivial.
% 21.68/21.83 apply (zenon_L172_); trivial.
% 21.68/21.83 (* end of lemma zenon_L680_ *)
% 21.68/21.83 assert (zenon_L681_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> False).
% 21.68/21.83 do 0 intro. intros zenon_H13c zenon_Ha0 zenon_H25 zenon_H129 zenon_Hc0 zenon_H20f zenon_H120 zenon_H1bb zenon_H163 zenon_Hbb zenon_Ha9 zenon_Hf7.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.68/21.83 apply (zenon_L116_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.68/21.83 apply (zenon_L571_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.68/21.83 apply (zenon_L617_); trivial.
% 21.68/21.83 apply (zenon_L299_); trivial.
% 21.68/21.83 (* end of lemma zenon_L681_ *)
% 21.68/21.83 assert (zenon_L682_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 21.68/21.83 do 0 intro. intros zenon_H16a zenon_H7b zenon_Hdd zenon_H68 zenon_H8b zenon_H16b.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.68/21.83 exact (zenon_H7b zenon_H65).
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.68/21.83 apply (zenon_L54_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.68/21.83 exact (zenon_H8b zenon_H8a).
% 21.68/21.83 exact (zenon_H16b zenon_H93).
% 21.68/21.83 (* end of lemma zenon_L682_ *)
% 21.68/21.83 assert (zenon_L683_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e0)) = (e2)) -> (((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)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((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 (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.83 do 0 intro. intros zenon_H16a zenon_H7b zenon_H120 zenon_Hb6 zenon_Hbb zenon_H18d zenon_H9f zenon_H1a8 zenon_H68 zenon_H2a zenon_H156 zenon_H72 zenon_H189 zenon_H77 zenon_H10c zenon_H1c3 zenon_H234 zenon_H3f zenon_Hb9 zenon_H102 zenon_H12e zenon_H104 zenon_H14c zenon_H192 zenon_H13b zenon_H179 zenon_H173 zenon_Hfa zenon_H1cf zenon_H153 zenon_H4e zenon_H1cb zenon_Hf0 zenon_H163 zenon_H183 zenon_H48 zenon_H1c6 zenon_Ha0 zenon_H129 zenon_Hc0 zenon_H20f zenon_H1bb zenon_Ha9 zenon_H1cd zenon_H164 zenon_H8b zenon_Hf6 zenon_H196.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.68/21.83 exact (zenon_H7b zenon_H65).
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.68/21.83 apply (zenon_L629_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.68/21.83 exact (zenon_H8b zenon_H8a).
% 21.68/21.83 apply (zenon_L167_); trivial.
% 21.68/21.83 (* end of lemma zenon_L683_ *)
% 21.68/21.83 assert (zenon_L684_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> ((op (e3) (e3)) = (e0)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.83 do 0 intro. intros zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H10c zenon_H167 zenon_Hb9 zenon_H195.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H136 | zenon_intro zenon_H25c ].
% 21.68/21.83 apply (zenon_L421_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H5c | zenon_intro zenon_H25d ].
% 21.68/21.83 apply (zenon_L138_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Ha5 ].
% 21.68/21.83 apply (zenon_L294_); trivial.
% 21.68/21.83 apply (zenon_L172_); trivial.
% 21.68/21.83 (* end of lemma zenon_L684_ *)
% 21.68/21.83 assert (zenon_L685_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.83 do 0 intro. intros zenon_H164 zenon_H9f zenon_H155 zenon_H177 zenon_H66 zenon_H77 zenon_H68 zenon_H183 zenon_H7f zenon_H48 zenon_H14c zenon_H104 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H10c zenon_Hb9 zenon_H195.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.83 apply (zenon_L496_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.83 apply (zenon_L57_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.83 apply (zenon_L257_); trivial.
% 21.68/21.83 apply (zenon_L684_); trivial.
% 21.68/21.83 (* end of lemma zenon_L685_ *)
% 21.68/21.83 assert (zenon_L686_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((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)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.83 do 0 intro. intros zenon_He4 zenon_H2a zenon_H156 zenon_H55 zenon_H54 zenon_H13c zenon_Ha0 zenon_H164 zenon_H9f zenon_H155 zenon_H177 zenon_H66 zenon_H77 zenon_H68 zenon_H183 zenon_H48 zenon_H104 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H4e zenon_H25 zenon_H140 zenon_H163 zenon_Hbb zenon_Hb9 zenon_H195.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.68/21.83 apply (zenon_L65_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.68/21.83 apply (zenon_L486_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.68/21.83 apply (zenon_L15_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.68/21.83 apply (zenon_L116_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.68/21.83 apply (zenon_L264_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.68/21.83 apply (zenon_L274_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.68/21.83 apply (zenon_L685_); trivial.
% 21.68/21.83 apply (zenon_L80_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.68/21.83 apply (zenon_L617_); trivial.
% 21.68/21.83 apply (zenon_L172_); trivial.
% 21.68/21.83 (* end of lemma zenon_L686_ *)
% 21.68/21.83 assert (zenon_L687_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> False).
% 21.68/21.83 do 0 intro. intros zenon_H1a2 zenon_Ha9 zenon_H66 zenon_Hef zenon_H14c zenon_Ha0 zenon_Hb6 zenon_H106.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.68/21.83 apply (zenon_L193_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.68/21.83 apply (zenon_L265_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.68/21.83 apply (zenon_L278_); trivial.
% 21.68/21.83 apply (zenon_L363_); trivial.
% 21.68/21.83 (* end of lemma zenon_L687_ *)
% 21.68/21.83 assert (zenon_L688_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((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 (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> False).
% 21.68/21.83 do 0 intro. intros zenon_H201 zenon_H195 zenon_Hb9 zenon_Hbb zenon_H163 zenon_H140 zenon_H25 zenon_H4e zenon_H186 zenon_H20f zenon_H25b zenon_H104 zenon_H48 zenon_H183 zenon_H68 zenon_H77 zenon_H177 zenon_H155 zenon_H9f zenon_H164 zenon_H13c zenon_H54 zenon_H55 zenon_H156 zenon_H2a zenon_He4 zenon_H1bf zenon_H1a2 zenon_Ha9 zenon_H66 zenon_Hef zenon_H14c zenon_Ha0 zenon_Hb6.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.68/21.83 apply (zenon_L94_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.68/21.83 apply (zenon_L686_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.68/21.83 exact (zenon_H1bf zenon_H105).
% 21.68/21.83 apply (zenon_L687_); trivial.
% 21.68/21.83 (* end of lemma zenon_L688_ *)
% 21.68/21.83 assert (zenon_L689_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((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) (e3)) = (e1))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (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))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 21.68/21.83 do 0 intro. intros zenon_H192 zenon_H2a zenon_H12e zenon_H3f zenon_H11a zenon_H120 zenon_Ha9 zenon_H33 zenon_H121 zenon_H1cf zenon_H163 zenon_H183 zenon_H1cd zenon_H201 zenon_H230 zenon_H1d8 zenon_H1fb zenon_H55 zenon_H23d zenon_H1cb zenon_Hb2 zenon_H1ef zenon_H173 zenon_H111 zenon_H13b zenon_H4e zenon_Hfa zenon_H179 zenon_H82 zenon_H1c6 zenon_Hcc zenon_H131 zenon_H109 zenon_H141 zenon_H1d5 zenon_H24e zenon_H1b7 zenon_H117 zenon_H13c zenon_Hf0 zenon_H236 zenon_H15d zenon_H139 zenon_H23c zenon_H140 zenon_Hbc zenon_H6f zenon_H1fe zenon_H13e zenon_H19d zenon_H2c zenon_H13f zenon_H125 zenon_H73 zenon_H234 zenon_H1c3 zenon_H10c zenon_H189 zenon_H1a8 zenon_H9f zenon_H18d zenon_H7e zenon_H67 zenon_H104 zenon_H14c zenon_H1bb zenon_Hef zenon_H196 zenon_Hb9 zenon_H177 zenon_He4 zenon_H156 zenon_H8b zenon_H77 zenon_H7b zenon_H16a zenon_H7d zenon_H19a zenon_H195 zenon_H20f zenon_H186 zenon_H25b zenon_H1b4 zenon_Hf5 zenon_H25e zenon_Ha0 zenon_H68 zenon_H13a zenon_Hc0 zenon_H129 zenon_H48 zenon_H164 zenon_H1bf zenon_Hb6 zenon_Hbb.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.68/21.83 apply (zenon_L94_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.68/21.83 apply (zenon_L657_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.68/21.83 exact (zenon_H8b zenon_H8a).
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.83 apply (zenon_L553_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.83 apply (zenon_L292_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.83 apply (zenon_L80_); trivial.
% 21.68/21.83 apply (zenon_L547_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.68/21.83 apply (zenon_L670_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.68/21.83 exact (zenon_H1bf zenon_H105).
% 21.68/21.83 apply (zenon_L363_); trivial.
% 21.68/21.83 (* end of lemma zenon_L689_ *)
% 21.68/21.83 assert (zenon_L690_ : (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((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) (e3)) = (e1))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((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 (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (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))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.83 do 0 intro. intros zenon_Ha0 zenon_H192 zenon_H2a zenon_H12e zenon_H3f zenon_H11a zenon_H120 zenon_Ha9 zenon_H33 zenon_H121 zenon_H1cf zenon_H183 zenon_H1cd zenon_H201 zenon_H230 zenon_H1d8 zenon_H1fb zenon_H55 zenon_H23d zenon_H1cb zenon_Hb2 zenon_H1ef zenon_H173 zenon_H111 zenon_H13b zenon_H4e zenon_Hfa zenon_H179 zenon_H82 zenon_H1c6 zenon_Hcc zenon_H131 zenon_H109 zenon_H141 zenon_H1d5 zenon_H24e zenon_H1b7 zenon_H117 zenon_H13c zenon_Hf0 zenon_H236 zenon_H15d zenon_H139 zenon_H23c zenon_H140 zenon_Hbc zenon_H6f zenon_H1fe zenon_H13e zenon_H19d zenon_H2c zenon_H13f zenon_H125 zenon_H73 zenon_H234 zenon_H1c3 zenon_H189 zenon_H1a8 zenon_H9f zenon_H18d zenon_H7e zenon_H67 zenon_H104 zenon_H1bb zenon_Hef zenon_H196 zenon_H177 zenon_He4 zenon_H156 zenon_H8b zenon_H77 zenon_H7b zenon_H16a zenon_H7d zenon_H19a zenon_H20f zenon_H186 zenon_H25b zenon_H1b4 zenon_Hf5 zenon_H25e zenon_H68 zenon_H13a zenon_Hc0 zenon_H129 zenon_H48 zenon_H164 zenon_H1bf zenon_Hb6 zenon_H25 zenon_H163 zenon_Hbb zenon_Hb9 zenon_H195.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.68/21.83 apply (zenon_L116_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.68/21.83 apply (zenon_L254_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.68/21.83 apply (zenon_L274_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.68/21.83 apply (zenon_L689_); trivial.
% 21.68/21.83 apply (zenon_L80_); trivial.
% 21.68/21.83 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.68/21.83 apply (zenon_L617_); trivial.
% 21.68/21.83 apply (zenon_L172_); trivial.
% 21.68/21.83 (* end of lemma zenon_L690_ *)
% 21.68/21.83 assert (zenon_L691_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.68/21.84 do 0 intro. intros zenon_Hfa zenon_H68 zenon_H25 zenon_Hf0 zenon_H9f zenon_H155 zenon_H189 zenon_H186 zenon_H7e zenon_H67 zenon_H1b4 zenon_H1cb zenon_H1c3 zenon_H1c6 zenon_Ha0 zenon_H2a zenon_H129 zenon_Hc0 zenon_H20f zenon_H120 zenon_H1bb zenon_Ha9 zenon_H6d zenon_Hbb zenon_H1cd.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.84 apply (zenon_L171_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.84 apply (zenon_L61_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.84 apply (zenon_L638_); trivial.
% 21.68/21.84 apply (zenon_L576_); trivial.
% 21.68/21.84 (* end of lemma zenon_L691_ *)
% 21.68/21.84 assert (zenon_L692_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (((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))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((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) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H1a2 zenon_H212 zenon_H155 zenon_Hb6 zenon_H177 zenon_Ha0 zenon_H25e zenon_H25b zenon_H19a zenon_H195 zenon_Hb9 zenon_H33 zenon_H121 zenon_H1bf zenon_H1cf zenon_H183 zenon_H48 zenon_H8b zenon_H1cd zenon_H201 zenon_H230 zenon_H1d8 zenon_H1fb zenon_H55 zenon_H23d zenon_Hb2 zenon_H1ef zenon_H173 zenon_H111 zenon_H13b zenon_H4e zenon_Hfa zenon_H179 zenon_H82 zenon_H1c6 zenon_Hcc zenon_H131 zenon_H109 zenon_H141 zenon_H11a zenon_H186 zenon_H24e zenon_H7d zenon_H1b7 zenon_H196 zenon_H117 zenon_Hf5 zenon_Hf0 zenon_H236 zenon_H13a zenon_H15d zenon_H139 zenon_H23c zenon_H140 zenon_Hbc zenon_H6f zenon_H1fe zenon_H13e zenon_H19d zenon_H16a zenon_H2c zenon_H13f zenon_H73 zenon_H164 zenon_He4 zenon_H192 zenon_H104 zenon_H12e zenon_H3f zenon_H234 zenon_H1c3 zenon_H189 zenon_H156 zenon_H1a8 zenon_H18d zenon_H13c zenon_H129 zenon_Hc0 zenon_H20f zenon_H163 zenon_Ha9 zenon_H2a zenon_H1d5 zenon_H125 zenon_H1cb zenon_Hbb zenon_H1b4 zenon_H120 zenon_H1bb zenon_H68 zenon_H25 zenon_H7b zenon_H77.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.84 apply (zenon_L635_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.84 apply (zenon_L25_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.84 apply (zenon_L171_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.84 apply (zenon_L677_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.68/21.84 apply (zenon_L147_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.68/21.84 apply (zenon_L100_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.68/21.84 apply (zenon_L633_); trivial.
% 21.68/21.84 apply (zenon_L680_); trivial.
% 21.68/21.84 apply (zenon_L681_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.84 apply (zenon_L53_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.84 apply (zenon_L178_); trivial.
% 21.68/21.84 apply (zenon_L115_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.84 apply (zenon_L147_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.84 apply (zenon_L171_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.68/21.84 apply (zenon_L264_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.68/21.84 apply (zenon_L274_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.68/21.84 apply (zenon_L688_); trivial.
% 21.68/21.84 apply (zenon_L80_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.84 apply (zenon_L22_); trivial.
% 21.68/21.84 apply (zenon_L681_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.84 apply (zenon_L53_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.84 apply (zenon_L193_); trivial.
% 21.68/21.84 apply (zenon_L154_); trivial.
% 21.68/21.84 apply (zenon_L98_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.84 apply (zenon_L171_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.84 apply (zenon_L690_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.68/21.84 apply (zenon_L147_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.68/21.84 apply (zenon_L100_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.68/21.84 apply (zenon_L691_); trivial.
% 21.68/21.84 apply (zenon_L680_); trivial.
% 21.68/21.84 apply (zenon_L681_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.84 apply (zenon_L53_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.84 apply (zenon_L178_); trivial.
% 21.68/21.84 apply (zenon_L115_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.84 apply (zenon_L147_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.84 apply (zenon_L651_); trivial.
% 21.68/21.84 apply (zenon_L632_); trivial.
% 21.68/21.84 (* end of lemma zenon_L692_ *)
% 21.68/21.84 assert (zenon_L693_ : (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H7b zenon_H77 zenon_Ha9 zenon_H13a zenon_H121 zenon_H33 zenon_Hb6 zenon_H129 zenon_H68 zenon_H183 zenon_H1bf zenon_He4 zenon_H156 zenon_H55 zenon_H201 zenon_Ha0 zenon_H2a zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196 zenon_H3f zenon_H1cf zenon_H120 zenon_H18d zenon_H163 zenon_H12e zenon_H8b zenon_H1cd zenon_H230 zenon_H1d8 zenon_H1fb zenon_H234 zenon_H189 zenon_H23d zenon_H1bb zenon_H1b4 zenon_H1cb zenon_Hb2 zenon_H1ef zenon_H173 zenon_H111 zenon_H13b zenon_H4e zenon_Hfa zenon_H179 zenon_H82 zenon_H1c6 zenon_Hcc zenon_H131 zenon_H109 zenon_H141 zenon_H11a zenon_H186 zenon_H1d5 zenon_H24e zenon_H7d zenon_H1b7 zenon_H192 zenon_H1c3 zenon_H117 zenon_Hf5 zenon_H13c zenon_Hf0 zenon_H236 zenon_H15d zenon_H139 zenon_H23c zenon_H140 zenon_Hbc zenon_H6f zenon_H1fe zenon_H13e zenon_H19d zenon_H16a zenon_H2c zenon_H13f zenon_H125 zenon_H73 zenon_H104 zenon_H1a8 zenon_H164 zenon_H195 zenon_H20f zenon_Hc0 zenon_H34 zenon_H48.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.84 apply (zenon_L376_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.84 apply (zenon_L65_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.84 apply (zenon_L656_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.84 apply (zenon_L53_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.84 apply (zenon_L95_); trivial.
% 21.68/21.84 apply (zenon_L154_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.84 apply (zenon_L635_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.84 apply (zenon_L492_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.68/21.84 apply (zenon_L297_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.68/21.84 apply (zenon_L272_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.68/21.84 apply (zenon_L147_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.68/21.84 apply (zenon_L569_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.68/21.84 apply (zenon_L641_); trivial.
% 21.68/21.84 apply (zenon_L575_); trivial.
% 21.68/21.84 apply (zenon_L655_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.84 apply (zenon_L53_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.84 apply (zenon_L178_); trivial.
% 21.68/21.84 apply (zenon_L154_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.84 apply (zenon_L147_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.84 apply (zenon_L642_); trivial.
% 21.68/21.84 apply (zenon_L98_); trivial.
% 21.68/21.84 apply (zenon_L456_); trivial.
% 21.68/21.84 (* end of lemma zenon_L693_ *)
% 21.68/21.84 assert (zenon_L694_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((e0) = (e1))) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H19a zenon_H25b zenon_H25e zenon_H212 zenon_H1a2 zenon_H16b zenon_H7b zenon_H77 zenon_Ha9 zenon_H13a zenon_H121 zenon_H33 zenon_Hb6 zenon_H129 zenon_H68 zenon_H183 zenon_H1bf zenon_He4 zenon_H156 zenon_H55 zenon_H201 zenon_Ha0 zenon_H2a zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196 zenon_H3f zenon_H1cf zenon_H120 zenon_H18d zenon_H163 zenon_H12e zenon_H8b zenon_H1cd zenon_H230 zenon_H1d8 zenon_H1fb zenon_H234 zenon_H189 zenon_H23d zenon_H1bb zenon_H1b4 zenon_H1cb zenon_Hb2 zenon_H1ef zenon_H173 zenon_H111 zenon_H13b zenon_H4e zenon_Hfa zenon_H179 zenon_H82 zenon_H1c6 zenon_Hcc zenon_H131 zenon_H109 zenon_H141 zenon_H11a zenon_H186 zenon_H1d5 zenon_H24e zenon_H7d zenon_H1b7 zenon_H192 zenon_H1c3 zenon_H117 zenon_Hf5 zenon_H13c zenon_Hf0 zenon_H236 zenon_H15d zenon_H139 zenon_H23c zenon_H140 zenon_Hbc zenon_H6f zenon_H1fe zenon_H13e zenon_H19d zenon_H16a zenon_H2c zenon_H13f zenon_H125 zenon_H73 zenon_H104 zenon_H1a8 zenon_H164 zenon_H195 zenon_H20f zenon_Hc0 zenon_H48.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.68/21.84 apply (zenon_L161_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.84 apply (zenon_L376_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.84 apply (zenon_L65_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.84 apply (zenon_L376_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.84 apply (zenon_L25_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.84 apply (zenon_L171_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.84 apply (zenon_L677_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.68/21.84 apply (zenon_L147_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.68/21.84 apply (zenon_L100_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.68/21.84 apply (zenon_L618_); trivial.
% 21.68/21.84 apply (zenon_L680_); trivial.
% 21.68/21.84 apply (zenon_L681_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.84 apply (zenon_L53_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.84 apply (zenon_L95_); trivial.
% 21.68/21.84 apply (zenon_L154_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.84 apply (zenon_L147_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.84 apply (zenon_L94_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.84 apply (zenon_L171_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.84 apply (zenon_L677_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.68/21.84 apply (zenon_L147_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.68/21.84 apply (zenon_L100_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.68/21.84 apply (zenon_L626_); trivial.
% 21.68/21.84 apply (zenon_L680_); trivial.
% 21.68/21.84 apply (zenon_L681_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.84 apply (zenon_L53_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.84 apply (zenon_L178_); trivial.
% 21.68/21.84 apply (zenon_L154_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.68/21.84 apply (zenon_L171_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.68/21.84 exact (zenon_H7b zenon_H65).
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.84 apply (zenon_L171_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.84 apply (zenon_L621_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.68/21.84 apply (zenon_L116_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.68/21.84 apply (zenon_L217_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.68/21.84 apply (zenon_L682_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.68/21.84 apply (zenon_L683_); trivial.
% 21.68/21.84 apply (zenon_L77_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.68/21.84 apply (zenon_L617_); trivial.
% 21.68/21.84 apply (zenon_L172_); trivial.
% 21.68/21.84 apply (zenon_L63_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.84 apply (zenon_L53_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.84 apply (zenon_L95_); trivial.
% 21.68/21.84 apply (zenon_L92_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.84 apply (zenon_L171_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.84 apply (zenon_L677_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.68/21.84 apply (zenon_L147_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.68/21.84 apply (zenon_L100_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.68/21.84 apply (zenon_L631_); trivial.
% 21.68/21.84 apply (zenon_L680_); trivial.
% 21.68/21.84 apply (zenon_L681_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.84 apply (zenon_L53_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.84 apply (zenon_L178_); trivial.
% 21.68/21.84 apply (zenon_L154_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.84 apply (zenon_L147_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.84 apply (zenon_L651_); trivial.
% 21.68/21.84 apply (zenon_L632_); trivial.
% 21.68/21.84 apply (zenon_L692_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.68/21.84 apply (zenon_L627_); trivial.
% 21.68/21.84 apply (zenon_L693_); trivial.
% 21.68/21.84 (* end of lemma zenon_L694_ *)
% 21.68/21.84 assert (zenon_L695_ : (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (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))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (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 (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e0) = (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))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.84 do 0 intro. intros zenon_Ha9 zenon_Hbb zenon_H163 zenon_H1bb zenon_H120 zenon_H20f zenon_Hc0 zenon_H129 zenon_H25 zenon_H13c zenon_H89 zenon_H54 zenon_H191 zenon_H18d zenon_H1a8 zenon_H68 zenon_H156 zenon_H189 zenon_H1c3 zenon_H234 zenon_H3f zenon_H67 zenon_H12e zenon_H104 zenon_H192 zenon_H7b zenon_He4 zenon_H177 zenon_H164 zenon_H73 zenon_H125 zenon_H13f zenon_H2c zenon_H16a zenon_H19d zenon_H13e zenon_H1fe zenon_H6f zenon_Hbc zenon_H140 zenon_H23c zenon_H139 zenon_H15d zenon_H13a zenon_H236 zenon_Hf0 zenon_Hf5 zenon_H117 zenon_H1b7 zenon_H7d zenon_H24e zenon_H1d5 zenon_H186 zenon_H11a zenon_H141 zenon_H109 zenon_H131 zenon_Hcc zenon_H1c6 zenon_H82 zenon_H179 zenon_Hfa zenon_H4e zenon_H13b zenon_H111 zenon_H173 zenon_H1ef zenon_Hb2 zenon_H1cb zenon_H1b4 zenon_H23d zenon_H55 zenon_H1fb zenon_H1d8 zenon_H230 zenon_H201 zenon_H1cd zenon_H8b zenon_H48 zenon_H183 zenon_H1cf zenon_H77 zenon_H1bf zenon_H121 zenon_H33 zenon_H195 zenon_H25b zenon_H25e zenon_H212 zenon_H19a zenon_Ha0 zenon_H2a zenon_Hb6 zenon_H153 zenon_Hb9 zenon_H196.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.84 apply (zenon_L171_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.84 apply (zenon_L677_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.68/21.84 apply (zenon_L147_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.68/21.84 apply (zenon_L100_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.68/21.84 apply (zenon_L649_); trivial.
% 21.68/21.84 apply (zenon_L680_); trivial.
% 21.68/21.84 apply (zenon_L681_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.84 apply (zenon_L53_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.84 apply (zenon_L95_); trivial.
% 21.68/21.84 apply (zenon_L154_); trivial.
% 21.68/21.84 (* end of lemma zenon_L695_ *)
% 21.68/21.84 assert (zenon_L696_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((e0) = (e1))) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H19a zenon_H25b zenon_H25e zenon_H212 zenon_H1a2 zenon_H191 zenon_H89 zenon_H7b zenon_H77 zenon_Ha9 zenon_H13a zenon_H121 zenon_H33 zenon_Hb6 zenon_H129 zenon_H68 zenon_H183 zenon_H1bf zenon_He4 zenon_H156 zenon_H55 zenon_H201 zenon_Ha0 zenon_H2a zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196 zenon_H3f zenon_H1cf zenon_H120 zenon_H18d zenon_H163 zenon_H12e zenon_H8b zenon_H1cd zenon_H230 zenon_H1d8 zenon_H1fb zenon_H234 zenon_H189 zenon_H23d zenon_H1bb zenon_H1b4 zenon_H1cb zenon_Hb2 zenon_H1ef zenon_H173 zenon_H111 zenon_H13b zenon_H4e zenon_Hfa zenon_H179 zenon_H82 zenon_H1c6 zenon_Hcc zenon_H131 zenon_H109 zenon_H141 zenon_H11a zenon_H186 zenon_H1d5 zenon_H24e zenon_H7d zenon_H1b7 zenon_H192 zenon_H1c3 zenon_H117 zenon_Hf5 zenon_H13c zenon_Hf0 zenon_H236 zenon_H15d zenon_H139 zenon_H23c zenon_H140 zenon_Hbc zenon_H6f zenon_H1fe zenon_H13e zenon_H19d zenon_H16a zenon_H2c zenon_H13f zenon_H125 zenon_H73 zenon_H104 zenon_H1a8 zenon_H164 zenon_H195 zenon_H20f zenon_Hc0 zenon_H48.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.68/21.84 apply (zenon_L161_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.84 apply (zenon_L376_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.84 apply (zenon_L65_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.84 apply (zenon_L376_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.84 apply (zenon_L492_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.84 apply (zenon_L695_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.84 apply (zenon_L147_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.84 apply (zenon_L94_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.68/21.84 apply (zenon_L695_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.68/21.84 apply (zenon_L171_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.68/21.84 exact (zenon_H7b zenon_H65).
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.84 apply (zenon_L171_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.84 apply (zenon_L621_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.68/21.84 apply (zenon_L116_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.68/21.84 apply (zenon_L217_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.68/21.84 apply (zenon_L628_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.68/21.84 apply (zenon_L683_); trivial.
% 21.68/21.84 apply (zenon_L648_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.68/21.84 apply (zenon_L436_); trivial.
% 21.68/21.84 apply (zenon_L172_); trivial.
% 21.68/21.84 apply (zenon_L63_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.84 apply (zenon_L53_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.84 apply (zenon_L178_); trivial.
% 21.68/21.84 apply (zenon_L92_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.84 apply (zenon_L171_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.84 apply (zenon_L690_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.68/21.84 apply (zenon_L147_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.68/21.84 apply (zenon_L100_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.68/21.84 apply (zenon_L650_); trivial.
% 21.68/21.84 apply (zenon_L680_); trivial.
% 21.68/21.84 apply (zenon_L681_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.84 apply (zenon_L53_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.84 apply (zenon_L95_); trivial.
% 21.68/21.84 apply (zenon_L154_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.84 apply (zenon_L147_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.84 apply (zenon_L94_); trivial.
% 21.68/21.84 apply (zenon_L632_); trivial.
% 21.68/21.84 apply (zenon_L692_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.68/21.84 apply (zenon_L645_); trivial.
% 21.68/21.84 apply (zenon_L693_); trivial.
% 21.68/21.84 (* end of lemma zenon_L696_ *)
% 21.68/21.84 assert (zenon_L697_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H92 zenon_H89 zenon_H19d zenon_H2a zenon_H1a2 zenon_H212 zenon_H230 zenon_H1fb zenon_H55 zenon_H23d zenon_H1b4 zenon_Hb2 zenon_H1ef zenon_H111 zenon_H82 zenon_Hcc zenon_H131 zenon_H109 zenon_H141 zenon_H186 zenon_H1d5 zenon_H24e zenon_H7d zenon_H1b7 zenon_H192 zenon_H117 zenon_Hf5 zenon_H13c zenon_H236 zenon_H33 zenon_H15d zenon_H139 zenon_H23c zenon_H140 zenon_Hbc zenon_H6f zenon_H1fe zenon_H13e zenon_H2c zenon_H13f zenon_H125 zenon_H73 zenon_H104 zenon_H164 zenon_H121 zenon_He4 zenon_H1a8 zenon_H1c3 zenon_H1cb zenon_H189 zenon_H20f zenon_Hc0 zenon_H129 zenon_H1bb zenon_H234 zenon_H18d zenon_Ha9 zenon_H1cd zenon_H1c6 zenon_H1cf zenon_H11a zenon_H3f zenon_H120 zenon_H12e zenon_H8b zenon_H156 zenon_H1bf zenon_H201 zenon_H16a zenon_H195 zenon_Hfa zenon_Hf0 zenon_H163 zenon_H183 zenon_H13b zenon_H7b zenon_H173 zenon_H179 zenon_H77 zenon_H19a zenon_H25e zenon_H25b zenon_H4e zenon_H1d8 zenon_H68 zenon_H48 zenon_Hb6 zenon_Ha0 zenon_H177 zenon_Hbb zenon_H196 zenon_Hb9 zenon_H13a.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.68/21.84 apply (zenon_L694_); trivial.
% 21.68/21.84 apply (zenon_L696_); trivial.
% 21.68/21.84 (* end of lemma zenon_L697_ *)
% 21.68/21.84 assert (zenon_L698_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H13a zenon_Hb9 zenon_H196 zenon_Hbb zenon_H177 zenon_Ha0 zenon_Hb6 zenon_H48 zenon_H68 zenon_H1d8 zenon_H4e zenon_H25b zenon_H25e zenon_H19a zenon_H77 zenon_H179 zenon_H173 zenon_H7b zenon_H13b zenon_H183 zenon_H163 zenon_Hf0 zenon_Hfa zenon_H195 zenon_H16a zenon_H201 zenon_H1bf zenon_H156 zenon_H12e zenon_H120 zenon_H3f zenon_H11a zenon_H1cf zenon_H1c6 zenon_H1cd zenon_Ha9 zenon_H18d zenon_H234 zenon_H1bb zenon_H129 zenon_Hc0 zenon_H20f zenon_H189 zenon_H1cb zenon_H1c3 zenon_H1a8 zenon_He4 zenon_H121 zenon_H164 zenon_H104 zenon_H73 zenon_H125 zenon_H13f zenon_H2c zenon_H13e zenon_H1fe zenon_H6f zenon_Hbc zenon_H140 zenon_H23c zenon_H139 zenon_H15d zenon_H33 zenon_H236 zenon_H13c zenon_Hf5 zenon_H117 zenon_H192 zenon_H1b7 zenon_H7d zenon_H24e zenon_H1d5 zenon_H186 zenon_H141 zenon_H109 zenon_H131 zenon_Hcc zenon_H82 zenon_H111 zenon_H1ef zenon_Hb2 zenon_H1b4 zenon_H23d zenon_H55 zenon_H1fb zenon_H230 zenon_H212 zenon_H1a2 zenon_H2a zenon_H19d zenon_H89 zenon_H92.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.68/21.84 apply (zenon_L697_); trivial.
% 21.68/21.84 apply (zenon_L697_); trivial.
% 21.68/21.84 (* end of lemma zenon_L698_ *)
% 21.68/21.84 assert (zenon_L699_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (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)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H264 zenon_H230 zenon_H109 zenon_H1d5 zenon_Hf5 zenon_H6f zenon_H1c3 zenon_H189 zenon_H1cf zenon_H16a zenon_H13b zenon_H173 zenon_H25e zenon_H25b zenon_H94 zenon_Hb2 zenon_H19a zenon_H18d zenon_H1b4 zenon_H20f zenon_H1b7 zenon_H179 zenon_H24e zenon_H125 zenon_H1ef zenon_H186 zenon_H1a2 zenon_Hcc zenon_H1cd zenon_H1cb zenon_H19d zenon_H195 zenon_H12e zenon_H212 zenon_Hbc zenon_H7d zenon_H18a zenon_H1bb zenon_Hfa zenon_H13c zenon_H55 zenon_H1a8 zenon_H23d zenon_H11a zenon_H1fe zenon_H1c6 zenon_H13e zenon_H111 zenon_H140 zenon_H68 zenon_H13f zenon_H156 zenon_H117 zenon_Hb6 zenon_H4e zenon_H163 zenon_H73 zenon_H131 zenon_H1ec zenon_Ha9 zenon_H201 zenon_H82 zenon_H139 zenon_H13a zenon_H2c zenon_H236 zenon_H15d zenon_H23c zenon_H183 zenon_H196 zenon_H33 zenon_H129 zenon_H121 zenon_H190 zenon_H177 zenon_He4 zenon_H192 zenon_H104 zenon_H164 zenon_H141 zenon_Ha0 zenon_H77 zenon_H234 zenon_Hf0 zenon_H48 zenon_H1fb zenon_H1d8 zenon_H2a zenon_H3f.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H1bf | zenon_intro zenon_H6d ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H120 | zenon_intro zenon_Hac ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.68/21.84 apply (zenon_L2_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.68/21.84 apply (zenon_L482_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.68/21.84 apply (zenon_L315_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.68/21.84 apply (zenon_L317_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.68/21.84 apply (zenon_L318_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.68/21.84 apply (zenon_L11_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.68/21.84 apply (zenon_L483_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.68/21.84 apply (zenon_L485_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.68/21.84 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 21.68/21.84 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 21.68/21.84 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.68/21.84 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.68/21.84 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 21.68/21.84 apply (zenon_L537_); trivial.
% 21.68/21.84 apply (zenon_L537_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.68/21.84 apply (zenon_L522_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.68/21.84 apply (zenon_L37_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.68/21.84 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.68/21.84 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 21.68/21.84 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.68/21.84 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.68/21.84 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.68/21.84 apply (zenon_L554_); trivial.
% 21.68/21.84 apply (zenon_L554_); trivial.
% 21.68/21.84 apply (zenon_L565_); trivial.
% 21.68/21.84 apply (zenon_L238_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.68/21.84 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 21.68/21.84 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 21.68/21.84 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.68/21.84 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 21.68/21.84 exact (zenon_H205 zenon_H2a).
% 21.68/21.84 apply (zenon_L567_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.68/21.84 apply (zenon_L531_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.68/21.84 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 21.68/21.84 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 21.68/21.84 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.68/21.84 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.68/21.84 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.68/21.84 apply (zenon_L698_); trivial.
% 21.68/21.84 apply (zenon_L197_); trivial.
% 21.68/21.84 apply (zenon_L51_); trivial.
% 21.68/21.84 apply (zenon_L532_); trivial.
% 21.68/21.84 apply (zenon_L654_); trivial.
% 21.68/21.84 (* end of lemma zenon_L699_ *)
% 21.68/21.84 assert (zenon_L700_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H28 zenon_H31 zenon_H1d8.
% 21.68/21.84 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 21.68/21.84 apply (zenon_L254_); trivial.
% 21.68/21.84 (* end of lemma zenon_L700_ *)
% 21.68/21.84 assert (zenon_L701_ : ((op (e0) (e0)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H67 zenon_H9f zenon_Ha9.
% 21.68/21.84 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 21.68/21.84 cut (((e3) = (e3)) = ((e2) = (e3))).
% 21.68/21.84 intro zenon_D_pnotp.
% 21.68/21.84 apply zenon_Ha9.
% 21.68/21.84 rewrite <- zenon_D_pnotp.
% 21.68/21.84 exact zenon_Ha1.
% 21.68/21.84 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.68/21.84 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 21.68/21.84 congruence.
% 21.68/21.84 cut (((op (e0) (e0)) = (e2)) = ((e3) = (e2))).
% 21.68/21.84 intro zenon_D_pnotp.
% 21.68/21.84 apply zenon_Haa.
% 21.68/21.84 rewrite <- zenon_D_pnotp.
% 21.68/21.84 exact zenon_H67.
% 21.68/21.84 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.68/21.84 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 21.68/21.84 congruence.
% 21.68/21.84 exact (zenon_Ha4 zenon_H9f).
% 21.68/21.84 apply zenon_H6a. apply refl_equal.
% 21.68/21.84 apply zenon_Ha2. apply refl_equal.
% 21.68/21.84 apply zenon_Ha2. apply refl_equal.
% 21.68/21.84 (* end of lemma zenon_L701_ *)
% 21.68/21.84 assert (zenon_L702_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H55 zenon_H2d zenon_Hdd.
% 21.68/21.84 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 21.68/21.84 intro zenon_D_pnotp.
% 21.68/21.84 apply zenon_H55.
% 21.68/21.84 rewrite <- zenon_D_pnotp.
% 21.68/21.84 exact zenon_H2d.
% 21.68/21.84 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H265].
% 21.68/21.84 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 21.68/21.84 congruence.
% 21.68/21.84 apply zenon_H86. apply refl_equal.
% 21.68/21.84 apply zenon_H265. apply sym_equal. exact zenon_Hdd.
% 21.68/21.84 (* end of lemma zenon_L702_ *)
% 21.68/21.84 assert (zenon_L703_ : (((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) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H266 zenon_H2d zenon_H55 zenon_Hf0 zenon_H3f zenon_H1ba zenon_H6f zenon_Hdb.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_Hdd | zenon_intro zenon_H267 ].
% 21.68/21.84 apply (zenon_L702_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H53 | zenon_intro zenon_H268 ].
% 21.68/21.84 apply (zenon_L118_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H6d | zenon_intro zenon_H10d ].
% 21.68/21.84 exact (zenon_H1ba zenon_H6d).
% 21.68/21.84 apply (zenon_L205_); trivial.
% 21.68/21.84 (* end of lemma zenon_L703_ *)
% 21.68/21.84 assert (zenon_L704_ : (((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)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H266 zenon_H2d zenon_H55 zenon_H7f zenon_H1f1 zenon_H1ba zenon_H6f zenon_Hdb.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_Hdd | zenon_intro zenon_H267 ].
% 21.68/21.84 apply (zenon_L702_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H53 | zenon_intro zenon_H268 ].
% 21.68/21.84 apply (zenon_L284_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H6d | zenon_intro zenon_H10d ].
% 21.68/21.84 exact (zenon_H1ba zenon_H6d).
% 21.68/21.84 apply (zenon_L205_); trivial.
% 21.68/21.84 (* end of lemma zenon_L704_ *)
% 21.68/21.84 assert (zenon_L705_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (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 (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False).
% 21.68/21.84 do 0 intro. intros zenon_He4 zenon_Hb6 zenon_Hf0 zenon_H16b zenon_H8b zenon_H77 zenon_H68 zenon_H16a zenon_H266 zenon_H2d zenon_H55 zenon_H1f1 zenon_H1ba zenon_H6f zenon_Hdb.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.68/21.84 apply (zenon_L55_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.68/21.84 apply (zenon_L703_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.68/21.84 apply (zenon_L327_); trivial.
% 21.68/21.84 apply (zenon_L704_); trivial.
% 21.68/21.84 (* end of lemma zenon_L705_ *)
% 21.68/21.84 assert (zenon_L706_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H24 zenon_H67 zenon_H76.
% 21.68/21.84 cut (((op (e0) (e0)) = (e2)) = ((op (e0) (e0)) = (op (e1) (e0)))).
% 21.68/21.84 intro zenon_D_pnotp.
% 21.68/21.84 apply zenon_H24.
% 21.68/21.84 rewrite <- zenon_D_pnotp.
% 21.68/21.84 exact zenon_H67.
% 21.68/21.84 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 21.68/21.84 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 21.68/21.84 congruence.
% 21.68/21.84 apply zenon_H27. apply refl_equal.
% 21.68/21.84 apply zenon_H124. apply sym_equal. exact zenon_H76.
% 21.68/21.84 (* end of lemma zenon_L706_ *)
% 21.68/21.84 assert (zenon_L707_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H117 zenon_Ha0 zenon_H2d zenon_H10c zenon_Hf0 zenon_Hb6 zenon_H105 zenon_H9e zenon_H196.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.68/21.84 apply (zenon_L67_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.68/21.84 apply (zenon_L74_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.68/21.84 apply (zenon_L400_); trivial.
% 21.68/21.84 apply (zenon_L154_); trivial.
% 21.68/21.84 (* end of lemma zenon_L707_ *)
% 21.68/21.84 assert (zenon_L708_ : (((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)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H13a zenon_H33 zenon_H9d zenon_Hb6 zenon_H3d zenon_Ha0 zenon_H31 zenon_Ha9 zenon_Hf6.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.84 apply (zenon_L245_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.84 apply (zenon_L55_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.84 apply (zenon_L68_); trivial.
% 21.68/21.84 apply (zenon_L92_); trivial.
% 21.68/21.84 (* end of lemma zenon_L708_ *)
% 21.68/21.84 assert (zenon_L709_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H1cf zenon_H68 zenon_H31 zenon_Hf7 zenon_H186 zenon_H8b zenon_H171 zenon_H1cd.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.68/21.84 apply (zenon_L264_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.68/21.84 apply (zenon_L438_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.68/21.84 exact (zenon_H8b zenon_H8a).
% 21.68/21.84 apply (zenon_L240_); trivial.
% 21.68/21.84 (* end of lemma zenon_L709_ *)
% 21.68/21.84 assert (zenon_L710_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (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 (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e3)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H1c3 zenon_Ha9 zenon_Ha0 zenon_H3d zenon_Hb6 zenon_H9d zenon_H33 zenon_H13a zenon_H1cd zenon_H171 zenon_H8b zenon_H186 zenon_H31 zenon_H68 zenon_H1cf zenon_H128 zenon_H77 zenon_H181.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.68/21.84 apply (zenon_L708_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.68/21.84 apply (zenon_L709_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.68/21.84 apply (zenon_L218_); trivial.
% 21.68/21.84 exact (zenon_H181 zenon_H17c).
% 21.68/21.84 (* end of lemma zenon_L710_ *)
% 21.68/21.84 assert (zenon_L711_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (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 (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H13f zenon_H48 zenon_H16b zenon_H16a zenon_H196 zenon_H9e zenon_Hf0 zenon_H10c zenon_H2d zenon_H117 zenon_H1c3 zenon_Ha9 zenon_Ha0 zenon_H3d zenon_Hb6 zenon_H9d zenon_H33 zenon_H13a zenon_H1cd zenon_H171 zenon_H8b zenon_H186 zenon_H31 zenon_H68 zenon_H1cf zenon_H77 zenon_H181.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.68/21.84 apply (zenon_L217_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.68/21.84 apply (zenon_L327_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.68/21.84 apply (zenon_L707_); trivial.
% 21.68/21.84 apply (zenon_L710_); trivial.
% 21.68/21.84 (* end of lemma zenon_L711_ *)
% 21.68/21.84 assert (zenon_L712_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H16a zenon_H68 zenon_H2f zenon_H1ba zenon_H8b zenon_Hf7 zenon_H195.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.68/21.84 apply (zenon_L28_); trivial.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.68/21.84 exact (zenon_H1ba zenon_H6d).
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.68/21.84 exact (zenon_H8b zenon_H8a).
% 21.68/21.84 apply (zenon_L228_); trivial.
% 21.68/21.84 (* end of lemma zenon_L712_ *)
% 21.68/21.84 assert (zenon_L713_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((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 (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.84 do 0 intro. intros zenon_H6f zenon_H1f1 zenon_H55 zenon_H266 zenon_He4 zenon_Hb2 zenon_Hfa zenon_H67 zenon_H24 zenon_Hf5 zenon_Ha9 zenon_H13f zenon_H48 zenon_H16b zenon_H196 zenon_Hf0 zenon_H2d zenon_H117 zenon_H1c3 zenon_Ha0 zenon_H3d zenon_Hb6 zenon_H33 zenon_H13a zenon_H1cd zenon_H186 zenon_H31 zenon_H1cf zenon_H77 zenon_H181 zenon_H3c zenon_H13c zenon_H1b3 zenon_H1a8 zenon_H16a zenon_H68 zenon_H2f zenon_H1ba zenon_H8b zenon_H195.
% 21.68/21.84 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.85 apply (zenon_L701_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.85 apply (zenon_L705_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.85 apply (zenon_L68_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.68/21.85 apply (zenon_L701_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.68/21.85 apply (zenon_L46_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.68/21.85 apply (zenon_L67_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.85 apply (zenon_L706_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.85 exact (zenon_H1b3 zenon_Hef).
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.68/21.85 apply (zenon_L214_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.68/21.85 exact (zenon_H1b3 zenon_Hef).
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.68/21.85 exact (zenon_H1ba zenon_H6d).
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.68/21.85 apply (zenon_L46_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.68/21.85 apply (zenon_L711_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.68/21.85 apply (zenon_L436_); trivial.
% 21.68/21.85 apply (zenon_L262_); trivial.
% 21.68/21.85 apply (zenon_L712_); trivial.
% 21.68/21.85 (* end of lemma zenon_L713_ *)
% 21.68/21.85 assert (zenon_L714_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H16a zenon_H2c zenon_H67 zenon_H6f zenon_H6e zenon_H8b zenon_H16b.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.68/21.85 apply (zenon_L180_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.68/21.85 apply (zenon_L21_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.68/21.85 exact (zenon_H8b zenon_H8a).
% 21.68/21.85 exact (zenon_H16b zenon_H93).
% 21.68/21.85 (* end of lemma zenon_L714_ *)
% 21.68/21.85 assert (zenon_L715_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H16a zenon_H68 zenon_H2d zenon_Ha9 zenon_H10d zenon_H8b zenon_H16b.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.68/21.85 apply (zenon_L27_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.68/21.85 apply (zenon_L289_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.68/21.85 exact (zenon_H8b zenon_H8a).
% 21.68/21.85 exact (zenon_H16b zenon_H93).
% 21.68/21.85 (* end of lemma zenon_L715_ *)
% 21.68/21.85 assert (zenon_L716_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (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))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H1a8 zenon_H67 zenon_H2c zenon_H1b3 zenon_H1c6 zenon_H6f zenon_H1ba zenon_Hf0 zenon_H55 zenon_H266 zenon_Hb6 zenon_H3f zenon_H16b zenon_H8b zenon_H2d zenon_H68 zenon_H16a zenon_Ha9.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.68/21.85 apply (zenon_L714_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.68/21.85 exact (zenon_H1b3 zenon_Hef).
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.68/21.85 exact (zenon_H1ba zenon_H6d).
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.68/21.85 apply (zenon_L703_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.68/21.85 apply (zenon_L216_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.68/21.85 apply (zenon_L715_); trivial.
% 21.68/21.85 apply (zenon_L371_); trivial.
% 21.68/21.85 (* end of lemma zenon_L716_ *)
% 21.68/21.85 assert (zenon_L717_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H16a zenon_H68 zenon_H2d zenon_Hf0 zenon_Hef zenon_H8b zenon_H16b.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.68/21.85 apply (zenon_L27_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.68/21.85 apply (zenon_L61_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.68/21.85 exact (zenon_H8b zenon_H8a).
% 21.68/21.85 exact (zenon_H16b zenon_H93).
% 21.68/21.85 (* end of lemma zenon_L717_ *)
% 21.68/21.85 assert (zenon_L718_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H164 zenon_H48 zenon_Hac zenon_Ha0 zenon_H31 zenon_H177 zenon_H67 zenon_H7e.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.85 apply (zenon_L456_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.85 apply (zenon_L107_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.85 apply (zenon_L406_); trivial.
% 21.68/21.85 apply (zenon_L547_); trivial.
% 21.68/21.85 (* end of lemma zenon_L718_ *)
% 21.68/21.85 assert (zenon_L719_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H117 zenon_H2d zenon_Ha9 zenon_H6d zenon_H1b4 zenon_H104 zenon_H164 zenon_H48 zenon_Ha0 zenon_H31 zenon_H177 zenon_H67 zenon_H7e zenon_Ha6 zenon_H179 zenon_H121 zenon_H9e zenon_H196.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.68/21.85 apply (zenon_L67_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.68/21.85 apply (zenon_L289_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.68/21.85 apply (zenon_L123_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.68/21.85 apply (zenon_L718_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.68/21.85 apply (zenon_L129_); trivial.
% 21.68/21.85 apply (zenon_L602_); trivial.
% 21.68/21.85 apply (zenon_L154_); trivial.
% 21.68/21.85 (* end of lemma zenon_L719_ *)
% 21.68/21.85 assert (zenon_L720_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H1a8 zenon_H6f zenon_H2c zenon_H16b zenon_Hf0 zenon_H16a zenon_H196 zenon_H9e zenon_H121 zenon_H179 zenon_Ha6 zenon_H7e zenon_H67 zenon_H177 zenon_Ha0 zenon_H48 zenon_H164 zenon_H104 zenon_H1b4 zenon_Ha9 zenon_H2d zenon_H117 zenon_H1cf zenon_H68 zenon_H31 zenon_Hf7 zenon_H186 zenon_H8b zenon_H1cd.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.68/21.85 apply (zenon_L714_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.68/21.85 apply (zenon_L717_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.68/21.85 apply (zenon_L719_); trivial.
% 21.68/21.85 apply (zenon_L709_); trivial.
% 21.68/21.85 (* end of lemma zenon_L720_ *)
% 21.68/21.85 assert (zenon_L721_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_Hfa zenon_H24 zenon_H77 zenon_H4d zenon_H1a8 zenon_H6f zenon_H2c zenon_H16b zenon_Hf0 zenon_H16a zenon_H196 zenon_H9e zenon_H121 zenon_H179 zenon_Ha6 zenon_H7e zenon_H67 zenon_H177 zenon_Ha0 zenon_H48 zenon_H164 zenon_H104 zenon_H1b4 zenon_Ha9 zenon_H2d zenon_H117 zenon_H1cf zenon_H68 zenon_H31 zenon_H186 zenon_H8b zenon_H1cd.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.85 apply (zenon_L706_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.85 apply (zenon_L717_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.85 apply (zenon_L59_); trivial.
% 21.68/21.85 apply (zenon_L720_); trivial.
% 21.68/21.85 (* end of lemma zenon_L721_ *)
% 21.68/21.85 assert (zenon_L722_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.68/21.85 do 0 intro. intros zenon_Hb2 zenon_H1cd zenon_H8b zenon_H186 zenon_H31 zenon_H68 zenon_H1cf zenon_H117 zenon_Ha9 zenon_H1b4 zenon_H104 zenon_H164 zenon_H48 zenon_H177 zenon_H67 zenon_H179 zenon_H121 zenon_H9e zenon_H196 zenon_H16a zenon_Hf0 zenon_H16b zenon_H2c zenon_H6f zenon_H1a8 zenon_H4d zenon_H77 zenon_H24 zenon_Hfa zenon_Ha0 zenon_H2d zenon_Hb6 zenon_H7e.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.68/21.85 apply (zenon_L701_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.68/21.85 apply (zenon_L721_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.68/21.85 apply (zenon_L67_); trivial.
% 21.68/21.85 apply (zenon_L134_); trivial.
% 21.68/21.85 (* end of lemma zenon_L722_ *)
% 21.68/21.85 assert (zenon_L723_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H82 zenon_H4e zenon_H13a zenon_H3d zenon_Hb2 zenon_H1cd zenon_H8b zenon_H186 zenon_H31 zenon_H68 zenon_H1cf zenon_H117 zenon_Ha9 zenon_H1b4 zenon_H104 zenon_H164 zenon_H48 zenon_H177 zenon_H67 zenon_H179 zenon_H121 zenon_H196 zenon_H16a zenon_Hf0 zenon_H16b zenon_H2c zenon_H6f zenon_H1a8 zenon_H4d zenon_H77 zenon_H24 zenon_Hfa zenon_Ha0 zenon_H2d zenon_Hb6.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.85 apply (zenon_L251_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.85 apply (zenon_L14_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.85 apply (zenon_L217_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.85 apply (zenon_L701_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.85 apply (zenon_L55_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.85 apply (zenon_L68_); trivial.
% 21.68/21.85 apply (zenon_L722_); trivial.
% 21.68/21.85 (* end of lemma zenon_L723_ *)
% 21.68/21.85 assert (zenon_L724_ : (((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) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H19a zenon_Ha0 zenon_H9e zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_He0 zenon_H1b7.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.68/21.85 apply (zenon_L156_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.68/21.85 apply (zenon_L157_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.68/21.85 apply (zenon_L158_); trivial.
% 21.68/21.85 apply (zenon_L556_); trivial.
% 21.68/21.85 (* end of lemma zenon_L724_ *)
% 21.68/21.85 assert (zenon_L725_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H18d zenon_Hb6 zenon_H1b7 zenon_He0 zenon_H68 zenon_H48 zenon_H9e zenon_Ha0 zenon_H19a zenon_H93 zenon_H77 zenon_H7e zenon_H18a.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.68/21.85 apply (zenon_L115_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.68/21.85 apply (zenon_L724_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.68/21.85 apply (zenon_L218_); trivial.
% 21.68/21.85 apply (zenon_L140_); trivial.
% 21.68/21.85 (* end of lemma zenon_L725_ *)
% 21.68/21.85 assert (zenon_L726_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H1a2 zenon_H67 zenon_Ha9 zenon_H72 zenon_Hb6 zenon_H105 zenon_Ha0 zenon_H11d.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.68/21.85 apply (zenon_L446_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.68/21.85 apply (zenon_L436_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.68/21.85 apply (zenon_L400_); trivial.
% 21.68/21.85 apply (zenon_L80_); trivial.
% 21.68/21.85 (* end of lemma zenon_L726_ *)
% 21.68/21.85 assert (zenon_L727_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H16a zenon_H7b zenon_H1ba zenon_H8b zenon_H164 zenon_H18a zenon_H77 zenon_H19a zenon_H9e zenon_H48 zenon_H68 zenon_H1b7 zenon_H18d zenon_Ha0 zenon_H105 zenon_Hb6 zenon_H72 zenon_Ha9 zenon_H1a2 zenon_H67 zenon_H7e.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.68/21.85 exact (zenon_H7b zenon_H65).
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.68/21.85 exact (zenon_H1ba zenon_H6d).
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.68/21.85 exact (zenon_H8b zenon_H8a).
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.85 apply (zenon_L456_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.85 apply (zenon_L725_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.85 apply (zenon_L726_); trivial.
% 21.68/21.85 apply (zenon_L547_); trivial.
% 21.68/21.85 (* end of lemma zenon_L727_ *)
% 21.68/21.85 assert (zenon_L728_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H13a zenon_Ha9 zenon_H67 zenon_H6f zenon_H1ba zenon_H1f1 zenon_H55 zenon_H2d zenon_H266 zenon_H16a zenon_H68 zenon_H77 zenon_H8b zenon_H16b zenon_Hf0 zenon_He4 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H155.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.85 apply (zenon_L701_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.85 apply (zenon_L705_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.85 apply (zenon_L68_); trivial.
% 21.68/21.85 apply (zenon_L115_); trivial.
% 21.68/21.85 (* end of lemma zenon_L728_ *)
% 21.68/21.85 assert (zenon_L729_ : (((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 (e2) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H266 zenon_H2d zenon_H55 zenon_H105 zenon_H190 zenon_H1ba zenon_H6f zenon_Hdb.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_Hdd | zenon_intro zenon_H267 ].
% 21.68/21.85 apply (zenon_L702_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H53 | zenon_intro zenon_H268 ].
% 21.68/21.85 apply (zenon_L143_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H6d | zenon_intro zenon_H10d ].
% 21.68/21.85 exact (zenon_H1ba zenon_H6d).
% 21.68/21.85 apply (zenon_L205_); trivial.
% 21.68/21.85 (* end of lemma zenon_L729_ *)
% 21.68/21.85 assert (zenon_L730_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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 (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H13e zenon_H1ef zenon_Hdb zenon_H6f zenon_H1ba zenon_H190 zenon_H55 zenon_H2d zenon_H266 zenon_H8b zenon_H191.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H14c | zenon_intro zenon_H151 ].
% 21.68/21.85 apply (zenon_L405_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H105 | zenon_intro zenon_H152 ].
% 21.68/21.85 apply (zenon_L729_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H110 ].
% 21.68/21.85 exact (zenon_H8b zenon_H8a).
% 21.68/21.85 exact (zenon_H191 zenon_H110).
% 21.68/21.85 (* end of lemma zenon_L730_ *)
% 21.68/21.85 assert (zenon_L731_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H117 zenon_Ha0 zenon_H2d zenon_H10c zenon_Hf0 zenon_H191 zenon_H9e zenon_H196.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.68/21.85 apply (zenon_L67_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.68/21.85 apply (zenon_L74_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.68/21.85 exact (zenon_H191 zenon_H110).
% 21.68/21.85 apply (zenon_L154_); trivial.
% 21.68/21.85 (* end of lemma zenon_L731_ *)
% 21.68/21.85 assert (zenon_L732_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H13a zenon_Ha9 zenon_H67 zenon_Hb6 zenon_H3d zenon_Ha0 zenon_H31 zenon_Ha5 zenon_Hf5.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.85 apply (zenon_L701_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.85 apply (zenon_L55_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.85 apply (zenon_L68_); trivial.
% 21.68/21.85 apply (zenon_L262_); trivial.
% 21.68/21.85 (* end of lemma zenon_L732_ *)
% 21.68/21.85 assert (zenon_L733_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_Hfa zenon_H77 zenon_H1b3 zenon_Hf5 zenon_H31 zenon_Ha0 zenon_H3d zenon_Hb6 zenon_H67 zenon_Ha9 zenon_H13a zenon_H117 zenon_H2d zenon_Hf0 zenon_H191 zenon_H9e zenon_H196 zenon_H3c zenon_H13c zenon_H16a zenon_H68 zenon_H2f zenon_H1ba zenon_H8b zenon_H195.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.85 apply (zenon_L24_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.85 exact (zenon_H1b3 zenon_Hef).
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.68/21.85 apply (zenon_L46_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.68/21.85 apply (zenon_L731_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.68/21.85 apply (zenon_L436_); trivial.
% 21.68/21.85 apply (zenon_L732_); trivial.
% 21.68/21.85 apply (zenon_L712_); trivial.
% 21.68/21.85 (* end of lemma zenon_L733_ *)
% 21.68/21.85 assert (zenon_L734_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e1)) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H16a zenon_H68 zenon_H2d zenon_H1ba zenon_H8b zenon_H77 zenon_H128.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.68/21.85 apply (zenon_L27_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.68/21.85 exact (zenon_H1ba zenon_H6d).
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.68/21.85 exact (zenon_H8b zenon_H8a).
% 21.68/21.85 apply (zenon_L218_); trivial.
% 21.68/21.85 (* end of lemma zenon_L734_ *)
% 21.68/21.85 assert (zenon_L735_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H13f zenon_H10d zenon_H7e zenon_H67 zenon_H1a2 zenon_Ha9 zenon_H72 zenon_Hb6 zenon_Ha0 zenon_H18d zenon_H1b7 zenon_H48 zenon_H9e zenon_H19a zenon_H18a zenon_H164 zenon_H7b zenon_H16a zenon_H68 zenon_H2d zenon_H1ba zenon_H8b zenon_H77.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.68/21.85 apply (zenon_L217_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.68/21.85 apply (zenon_L113_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.68/21.85 apply (zenon_L727_); trivial.
% 21.68/21.85 apply (zenon_L734_); trivial.
% 21.68/21.85 (* end of lemma zenon_L735_ *)
% 21.68/21.85 assert (zenon_L736_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H13a zenon_H31 zenon_Hfa zenon_H24 zenon_Ha9 zenon_H13f zenon_H7e zenon_H67 zenon_H1a2 zenon_Hb6 zenon_Ha0 zenon_H18d zenon_H1b7 zenon_H48 zenon_H19a zenon_H18a zenon_H164 zenon_H7b zenon_H2d zenon_H77 zenon_H117 zenon_Hf0 zenon_H191 zenon_H196 zenon_H13e zenon_H1ef zenon_H6f zenon_H190 zenon_H55 zenon_H266 zenon_H1c6 zenon_H1b3 zenon_H3d zenon_H1a8 zenon_H16a zenon_H68 zenon_H2f zenon_H1ba zenon_H8b zenon_H195.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.85 apply (zenon_L701_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.85 apply (zenon_L730_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.85 apply (zenon_L68_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.85 apply (zenon_L706_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.85 exact (zenon_H1b3 zenon_Hef).
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.68/21.85 apply (zenon_L214_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.68/21.85 exact (zenon_H1b3 zenon_Hef).
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.68/21.85 exact (zenon_H1ba zenon_H6d).
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.68/21.85 apply (zenon_L730_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.68/21.85 apply (zenon_L731_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.68/21.85 apply (zenon_L735_); trivial.
% 21.68/21.85 apply (zenon_L371_); trivial.
% 21.68/21.85 apply (zenon_L712_); trivial.
% 21.68/21.85 (* end of lemma zenon_L736_ *)
% 21.68/21.85 assert (zenon_L737_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (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 (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H13a zenon_Ha9 zenon_H67 zenon_H191 zenon_H8b zenon_H266 zenon_H2d zenon_H55 zenon_H190 zenon_H1ba zenon_H6f zenon_H1ef zenon_H13e zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H155.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.85 apply (zenon_L701_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.85 apply (zenon_L730_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.85 apply (zenon_L68_); trivial.
% 21.68/21.85 apply (zenon_L115_); trivial.
% 21.68/21.85 (* end of lemma zenon_L737_ *)
% 21.68/21.85 assert (zenon_L738_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H153 zenon_H3d zenon_H1d8.
% 21.68/21.85 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H135 ].
% 21.68/21.85 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e1)) = (op (e0) (e2)))).
% 21.68/21.85 intro zenon_D_pnotp.
% 21.68/21.85 apply zenon_H1d8.
% 21.68/21.85 rewrite <- zenon_D_pnotp.
% 21.68/21.85 exact zenon_H1d6.
% 21.68/21.85 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 21.68/21.85 cut (((op (e0) (e2)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1d9].
% 21.68/21.85 congruence.
% 21.68/21.85 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e0) (e1)))).
% 21.68/21.85 intro zenon_D_pnotp.
% 21.68/21.85 apply zenon_H1d9.
% 21.68/21.85 rewrite <- zenon_D_pnotp.
% 21.68/21.85 exact zenon_H153.
% 21.68/21.85 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H269].
% 21.68/21.85 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 21.68/21.85 congruence.
% 21.68/21.85 apply zenon_H135. apply refl_equal.
% 21.68/21.85 apply zenon_H269. apply sym_equal. exact zenon_H3d.
% 21.68/21.85 apply zenon_H135. apply refl_equal.
% 21.68/21.85 apply zenon_H135. apply refl_equal.
% 21.68/21.85 (* end of lemma zenon_L738_ *)
% 21.68/21.85 assert (zenon_L739_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((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)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H201 zenon_H1d8 zenon_H4e zenon_H3c zenon_H196 zenon_H9e zenon_H6d zenon_H2d zenon_H117 zenon_H183 zenon_H128 zenon_H1cf zenon_H68 zenon_H31 zenon_H186 zenon_H8b zenon_H1cd zenon_H13a zenon_H33 zenon_H9d zenon_Hb6 zenon_H3d zenon_Ha0 zenon_Ha9 zenon_H1c3 zenon_H77 zenon_H181.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.68/21.85 apply (zenon_L738_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.68/21.85 apply (zenon_L14_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.68/21.85 apply (zenon_L404_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.68/21.85 apply (zenon_L91_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.68/21.85 apply (zenon_L710_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.68/21.85 apply (zenon_L367_); trivial.
% 21.68/21.85 exact (zenon_H181 zenon_H17c).
% 21.68/21.85 (* end of lemma zenon_L739_ *)
% 21.68/21.85 assert (zenon_L740_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H201 zenon_H1d8 zenon_H3d zenon_H156 zenon_H3f zenon_H1bf zenon_H1cf zenon_H68 zenon_H31 zenon_H4e zenon_H76 zenon_H8b zenon_H77.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.68/21.85 apply (zenon_L738_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.68/21.85 apply (zenon_L486_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.68/21.85 exact (zenon_H1bf zenon_H105).
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.68/21.85 apply (zenon_L264_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.68/21.85 apply (zenon_L83_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.68/21.85 exact (zenon_H8b zenon_H8a).
% 21.68/21.85 apply (zenon_L367_); trivial.
% 21.68/21.85 (* end of lemma zenon_L740_ *)
% 21.68/21.85 assert (zenon_L741_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H125 zenon_H177 zenon_Ha0 zenon_Hac zenon_H48 zenon_H164 zenon_H8b zenon_H4e zenon_H31 zenon_H1cf zenon_H1bf zenon_H3f zenon_H156 zenon_H3d zenon_H1d8 zenon_H201 zenon_H68 zenon_H2f zenon_H7e zenon_H77.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.68/21.85 apply (zenon_L718_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.68/21.85 apply (zenon_L740_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.68/21.85 apply (zenon_L28_); trivial.
% 21.68/21.85 apply (zenon_L71_); trivial.
% 21.68/21.85 (* end of lemma zenon_L741_ *)
% 21.68/21.85 assert (zenon_L742_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H1c6 zenon_Hb6 zenon_H16b zenon_Ha9 zenon_H2d zenon_H16a zenon_H125 zenon_H177 zenon_Ha0 zenon_H48 zenon_H164 zenon_H8b zenon_H4e zenon_H31 zenon_H1cf zenon_H1bf zenon_H3f zenon_H156 zenon_H3d zenon_H1d8 zenon_H201 zenon_H68 zenon_H2f zenon_H7e zenon_H77.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.68/21.85 apply (zenon_L55_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.68/21.85 apply (zenon_L216_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.68/21.85 apply (zenon_L715_); trivial.
% 21.68/21.85 apply (zenon_L741_); trivial.
% 21.68/21.85 (* end of lemma zenon_L742_ *)
% 21.68/21.85 assert (zenon_L743_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H13a zenon_H47 zenon_Ha9 zenon_H6e zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H155.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.85 apply (zenon_L253_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.85 apply (zenon_L110_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.85 apply (zenon_L68_); trivial.
% 21.68/21.85 apply (zenon_L115_); trivial.
% 21.68/21.85 (* end of lemma zenon_L743_ *)
% 21.68/21.85 assert (zenon_L744_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H139 zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H47 zenon_H13a zenon_H68 zenon_H31 zenon_H155 zenon_H77.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.85 apply (zenon_L251_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.85 apply (zenon_L743_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.85 apply (zenon_L264_); trivial.
% 21.68/21.85 apply (zenon_L98_); trivial.
% 21.68/21.85 (* end of lemma zenon_L744_ *)
% 21.68/21.85 assert (zenon_L745_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H139 zenon_H16b zenon_H8b zenon_Hf0 zenon_H2c zenon_H16a zenon_Hef zenon_H173 zenon_H68 zenon_H31 zenon_H155 zenon_H77.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.85 apply (zenon_L620_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.85 apply (zenon_L226_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.85 apply (zenon_L264_); trivial.
% 21.68/21.85 apply (zenon_L98_); trivial.
% 21.68/21.85 (* end of lemma zenon_L745_ *)
% 21.68/21.85 assert (zenon_L746_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H201 zenon_H48 zenon_H31 zenon_H77 zenon_H72 zenon_H1bf zenon_H1cd zenon_H7f.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.68/21.85 apply (zenon_L239_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.68/21.85 apply (zenon_L59_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.68/21.85 exact (zenon_H1bf zenon_H105).
% 21.68/21.85 apply (zenon_L331_); trivial.
% 21.68/21.85 (* end of lemma zenon_L746_ *)
% 21.68/21.85 assert (zenon_L747_ : ((op (e3) (e3)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_Hc3 zenon_H9d zenon_H18a.
% 21.68/21.85 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.68/21.85 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 21.68/21.85 intro zenon_D_pnotp.
% 21.68/21.85 apply zenon_H18a.
% 21.68/21.85 rewrite <- zenon_D_pnotp.
% 21.68/21.85 exact zenon_H12a.
% 21.68/21.85 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.68/21.85 cut (((op (e3) (e3)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 21.68/21.85 congruence.
% 21.68/21.85 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e3) (e0)))).
% 21.68/21.85 intro zenon_D_pnotp.
% 21.68/21.85 apply zenon_H18b.
% 21.68/21.85 rewrite <- zenon_D_pnotp.
% 21.68/21.85 exact zenon_Hc3.
% 21.68/21.85 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 21.68/21.85 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.68/21.85 congruence.
% 21.68/21.85 apply zenon_H12b. apply refl_equal.
% 21.68/21.85 apply zenon_Hb0. apply sym_equal. exact zenon_H9d.
% 21.68/21.85 apply zenon_H12b. apply refl_equal.
% 21.68/21.85 apply zenon_H12b. apply refl_equal.
% 21.68/21.85 (* end of lemma zenon_L747_ *)
% 21.68/21.85 assert (zenon_L748_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H13f zenon_H3c zenon_H100 zenon_H7f zenon_H1f1 zenon_H1bf zenon_H26a zenon_H155 zenon_Hf7 zenon_Ha9 zenon_Hb6 zenon_H9d zenon_H18a.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.68/21.85 apply (zenon_L69_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.68/21.85 apply (zenon_L284_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.68/21.85 exact (zenon_H1bf zenon_H105).
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H9e | zenon_intro zenon_H26b ].
% 21.68/21.85 apply (zenon_L115_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H26c ].
% 21.68/21.85 apply (zenon_L299_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc3 ].
% 21.68/21.85 apply (zenon_L182_); trivial.
% 21.68/21.85 apply (zenon_L747_); trivial.
% 21.68/21.85 (* end of lemma zenon_L748_ *)
% 21.68/21.85 assert (zenon_L749_ : (((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) (e3)))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H13a zenon_H33 zenon_H18a zenon_H9d zenon_Ha9 zenon_H26a zenon_H1bf zenon_H1f1 zenon_H100 zenon_H3c zenon_H13f zenon_H201 zenon_H48 zenon_H77 zenon_H1cd zenon_H139 zenon_H16b zenon_H8b zenon_Hf0 zenon_H2c zenon_H16a zenon_H173 zenon_H68 zenon_Hfa zenon_H2d zenon_H23c zenon_He4 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H155.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.85 apply (zenon_L245_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.85 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.68/21.85 apply (zenon_L55_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.68/21.85 apply (zenon_L492_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.68/21.85 apply (zenon_L327_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.85 apply (zenon_L24_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.85 apply (zenon_L745_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.85 apply (zenon_L746_); trivial.
% 21.68/21.85 apply (zenon_L748_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.85 apply (zenon_L68_); trivial.
% 21.68/21.85 apply (zenon_L115_); trivial.
% 21.68/21.85 (* end of lemma zenon_L749_ *)
% 21.68/21.85 assert (zenon_L750_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H1cf zenon_H68 zenon_H31 zenon_Hf7 zenon_H186 zenon_H8b zenon_H77 zenon_H106.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.68/21.85 apply (zenon_L264_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.68/21.85 apply (zenon_L438_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.68/21.85 exact (zenon_H8b zenon_H8a).
% 21.68/21.85 apply (zenon_L367_); trivial.
% 21.68/21.85 (* end of lemma zenon_L750_ *)
% 21.68/21.85 assert (zenon_L751_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_H201 zenon_H48 zenon_H156 zenon_H3f zenon_H1bf zenon_H1cf zenon_H68 zenon_H31 zenon_Hf7 zenon_H186 zenon_H8b zenon_H77.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.68/21.85 apply (zenon_L239_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.68/21.85 apply (zenon_L486_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.68/21.85 exact (zenon_H1bf zenon_H105).
% 21.68/21.85 apply (zenon_L750_); trivial.
% 21.68/21.85 (* end of lemma zenon_L751_ *)
% 21.68/21.85 assert (zenon_L752_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> False).
% 21.68/21.85 do 0 intro. intros zenon_Hfa zenon_H67 zenon_H24 zenon_H1b3 zenon_H181 zenon_H16b zenon_H155 zenon_H1c3 zenon_H201 zenon_H48 zenon_H156 zenon_H3f zenon_H1bf zenon_H1cf zenon_H68 zenon_H31 zenon_H186 zenon_H8b zenon_H77.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.85 apply (zenon_L706_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.85 exact (zenon_H1b3 zenon_Hef).
% 21.68/21.85 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.68/21.85 apply (zenon_L239_); trivial.
% 21.68/21.85 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.68/21.86 apply (zenon_L59_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.68/21.86 exact (zenon_H1bf zenon_H105).
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.68/21.86 apply (zenon_L98_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.68/21.86 apply (zenon_L750_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.68/21.86 exact (zenon_H16b zenon_H93).
% 21.68/21.86 exact (zenon_H181 zenon_H17c).
% 21.68/21.86 apply (zenon_L751_); trivial.
% 21.68/21.86 (* end of lemma zenon_L752_ *)
% 21.68/21.86 assert (zenon_L753_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H13a zenon_Ha9 zenon_H67 zenon_H7e zenon_H7d zenon_H16a zenon_H68 zenon_H2d zenon_H77 zenon_H8b zenon_H16b zenon_H4d zenon_H156 zenon_He4 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H155.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.86 apply (zenon_L701_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.86 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.68/21.86 apply (zenon_L55_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.68/21.86 apply (zenon_L486_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.68/21.86 apply (zenon_L327_); trivial.
% 21.68/21.86 apply (zenon_L31_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.86 apply (zenon_L68_); trivial.
% 21.68/21.86 apply (zenon_L115_); trivial.
% 21.68/21.86 (* end of lemma zenon_L753_ *)
% 21.68/21.86 assert (zenon_L754_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H15d zenon_Hfa zenon_H24 zenon_H1a8 zenon_H6f zenon_H2c zenon_Hf0 zenon_H196 zenon_H121 zenon_H179 zenon_H177 zenon_H164 zenon_H104 zenon_H1b4 zenon_H117 zenon_H1cf zenon_H186 zenon_H1cd zenon_Hb2 zenon_H82 zenon_H139 zenon_H4e zenon_H48 zenon_H13a zenon_Ha9 zenon_H67 zenon_H7d zenon_H16a zenon_H68 zenon_H2d zenon_H77 zenon_H8b zenon_H16b zenon_H4d zenon_H156 zenon_He4 zenon_Ha0 zenon_H31 zenon_Hb6.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.86 apply (zenon_L251_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.86 apply (zenon_L723_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.86 apply (zenon_L239_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.86 apply (zenon_L744_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.86 apply (zenon_L14_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.86 apply (zenon_L217_); trivial.
% 21.68/21.86 apply (zenon_L753_); trivial.
% 21.68/21.86 (* end of lemma zenon_L754_ *)
% 21.68/21.86 assert (zenon_L755_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H13e zenon_H2d zenon_H1ef zenon_H4d zenon_H131 zenon_H8b zenon_H191.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H14c | zenon_intro zenon_H151 ].
% 21.68/21.86 apply (zenon_L405_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H105 | zenon_intro zenon_H152 ].
% 21.68/21.86 apply (zenon_L128_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H110 ].
% 21.68/21.86 exact (zenon_H8b zenon_H8a).
% 21.68/21.86 exact (zenon_H191 zenon_H110).
% 21.68/21.86 (* end of lemma zenon_L755_ *)
% 21.68/21.86 assert (zenon_L756_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H38 zenon_H31 zenon_H26d.
% 21.68/21.86 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H1fc | zenon_intro zenon_Hf9 ].
% 21.68/21.86 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e2)) = (op (e0) (e3)))).
% 21.68/21.86 intro zenon_D_pnotp.
% 21.68/21.86 apply zenon_H26d.
% 21.68/21.86 rewrite <- zenon_D_pnotp.
% 21.68/21.86 exact zenon_H1fc.
% 21.68/21.86 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 21.68/21.86 cut (((op (e0) (e3)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 21.68/21.86 congruence.
% 21.68/21.86 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e0) (e2)))).
% 21.68/21.86 intro zenon_D_pnotp.
% 21.68/21.86 apply zenon_H26e.
% 21.68/21.86 rewrite <- zenon_D_pnotp.
% 21.68/21.86 exact zenon_H38.
% 21.68/21.86 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H26f].
% 21.68/21.86 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 21.68/21.86 congruence.
% 21.68/21.86 apply zenon_Hf9. apply refl_equal.
% 21.68/21.86 apply zenon_H26f. apply sym_equal. exact zenon_H31.
% 21.68/21.86 apply zenon_Hf9. apply refl_equal.
% 21.68/21.86 apply zenon_Hf9. apply refl_equal.
% 21.68/21.86 (* end of lemma zenon_L756_ *)
% 21.68/21.86 assert (zenon_L757_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H36 zenon_H31 zenon_H26d.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 21.68/21.86 apply (zenon_L756_); trivial.
% 21.68/21.86 (* end of lemma zenon_L757_ *)
% 21.68/21.86 assert (zenon_L758_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H3a zenon_H4d zenon_H4e.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 21.68/21.86 apply (zenon_L14_); trivial.
% 21.68/21.86 (* end of lemma zenon_L758_ *)
% 21.68/21.86 assert (zenon_L759_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H18d zenon_Hb6 zenon_H1b7 zenon_H68 zenon_H93 zenon_H48 zenon_H9e zenon_Ha0 zenon_H19a zenon_H53 zenon_H189 zenon_Hef zenon_He0.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.68/21.86 apply (zenon_L115_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.68/21.86 apply (zenon_L724_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.68/21.86 apply (zenon_L139_); trivial.
% 21.68/21.86 apply (zenon_L662_); trivial.
% 21.68/21.86 (* end of lemma zenon_L759_ *)
% 21.68/21.86 assert (zenon_L760_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H13f zenon_Ha8 zenon_He0 zenon_Hef zenon_H189 zenon_H19a zenon_Ha0 zenon_H9e zenon_H48 zenon_H68 zenon_H1b7 zenon_Hb6 zenon_H18d zenon_H4d zenon_H131 zenon_H77 zenon_H93.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.68/21.86 apply (zenon_L151_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.68/21.86 apply (zenon_L759_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.68/21.86 apply (zenon_L128_); trivial.
% 21.68/21.86 apply (zenon_L218_); trivial.
% 21.68/21.86 (* end of lemma zenon_L760_ *)
% 21.68/21.86 assert (zenon_L761_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_Hfa zenon_H25 zenon_H77 zenon_H131 zenon_H4d zenon_H18d zenon_Hb6 zenon_H1b7 zenon_H68 zenon_H48 zenon_H9e zenon_Ha0 zenon_H19a zenon_H189 zenon_He0 zenon_Ha8 zenon_H13f zenon_H160 zenon_H163 zenon_H93 zenon_H195.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.86 apply (zenon_L171_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.86 apply (zenon_L760_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.86 apply (zenon_L227_); trivial.
% 21.68/21.86 apply (zenon_L228_); trivial.
% 21.68/21.86 (* end of lemma zenon_L761_ *)
% 21.68/21.86 assert (zenon_L762_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H4d zenon_H191 zenon_Hc3 zenon_H1cb.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.68/21.86 apply (zenon_L68_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.68/21.86 apply (zenon_L124_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.68/21.86 exact (zenon_H191 zenon_H110).
% 21.68/21.86 apply (zenon_L622_); trivial.
% 21.68/21.86 (* end of lemma zenon_L762_ *)
% 21.68/21.86 assert (zenon_L763_ : (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (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))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H26d zenon_H1cb zenon_H191 zenon_H4d zenon_Hb6 zenon_H31 zenon_Ha0 zenon_H1a2 zenon_Ha8 zenon_H94 zenon_Hfa zenon_H25 zenon_H77 zenon_H131 zenon_H18d zenon_H48 zenon_H19a zenon_H189 zenon_H13f zenon_H160 zenon_H163 zenon_H195 zenon_H26a zenon_H93 zenon_H68 zenon_He0 zenon_H1b7.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.68/21.86 apply (zenon_L756_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H9e | zenon_intro zenon_H26b ].
% 21.68/21.86 apply (zenon_L761_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H26c ].
% 21.68/21.86 apply (zenon_L90_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc3 ].
% 21.68/21.86 apply (zenon_L47_); trivial.
% 21.68/21.86 apply (zenon_L762_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.68/21.86 apply (zenon_L158_); trivial.
% 21.68/21.86 apply (zenon_L556_); trivial.
% 21.68/21.86 (* end of lemma zenon_L763_ *)
% 21.68/21.86 assert (zenon_L764_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (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))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H22d zenon_H14c zenon_H1ef zenon_H55 zenon_H53 zenon_H7b zenon_H26d zenon_H1cb zenon_H191 zenon_H4d zenon_Hb6 zenon_H31 zenon_Ha0 zenon_H1a2 zenon_H94 zenon_Hfa zenon_H25 zenon_H77 zenon_H131 zenon_H18d zenon_H48 zenon_H19a zenon_H189 zenon_H13f zenon_H160 zenon_H163 zenon_H195 zenon_H26a zenon_H93 zenon_H68 zenon_He0 zenon_H1b7.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H2d | zenon_intro zenon_H22e ].
% 21.68/21.86 apply (zenon_L405_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H54 | zenon_intro zenon_H22f ].
% 21.68/21.86 apply (zenon_L15_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha8 ].
% 21.68/21.86 exact (zenon_H7b zenon_H65).
% 21.68/21.86 apply (zenon_L763_); trivial.
% 21.68/21.86 (* end of lemma zenon_L764_ *)
% 21.68/21.86 assert (zenon_L765_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H1cf zenon_H1d5 zenon_H125 zenon_H8b zenon_H164 zenon_H179 zenon_H1b7 zenon_H68 zenon_H93 zenon_H26a zenon_H195 zenon_H163 zenon_H13f zenon_H189 zenon_H19a zenon_H48 zenon_H18d zenon_H131 zenon_H77 zenon_H25 zenon_Hfa zenon_H94 zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H4d zenon_H191 zenon_H1cb zenon_H26d zenon_H7b zenon_H53 zenon_H55 zenon_H1ef zenon_H22d zenon_H14c zenon_H104 zenon_H67 zenon_H7e.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.68/21.86 apply (zenon_L651_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.68/21.86 apply (zenon_L59_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.68/21.86 exact (zenon_H8b zenon_H8a).
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.86 apply (zenon_L297_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.86 apply (zenon_L764_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.86 apply (zenon_L257_); trivial.
% 21.68/21.86 apply (zenon_L547_); trivial.
% 21.68/21.86 (* end of lemma zenon_L765_ *)
% 21.68/21.86 assert (zenon_L766_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e0)) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H16a zenon_H7b zenon_H53 zenon_H77 zenon_H8b zenon_H68 zenon_H115.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.68/21.86 exact (zenon_H7b zenon_H65).
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.68/21.86 apply (zenon_L56_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.68/21.86 exact (zenon_H8b zenon_H8a).
% 21.68/21.86 apply (zenon_L158_); trivial.
% 21.68/21.86 (* end of lemma zenon_L766_ *)
% 21.68/21.86 assert (zenon_L767_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e2)) = (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))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e0) = (e2))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H141 zenon_H13e zenon_H7e zenon_H67 zenon_H104 zenon_H22d zenon_H1ef zenon_H55 zenon_H26d zenon_H1cb zenon_H191 zenon_H4d zenon_Hb6 zenon_H31 zenon_Ha0 zenon_H1a2 zenon_H94 zenon_Hfa zenon_H25 zenon_H131 zenon_H18d zenon_H48 zenon_H19a zenon_H189 zenon_H13f zenon_H163 zenon_H195 zenon_H26a zenon_H1b7 zenon_H179 zenon_H164 zenon_H125 zenon_H1d5 zenon_H1cf zenon_H1ba zenon_H16a zenon_H7b zenon_H53 zenon_H77 zenon_H8b zenon_H68.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.68/21.86 apply (zenon_L755_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.68/21.86 apply (zenon_L111_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.68/21.86 exact (zenon_H7b zenon_H65).
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.68/21.86 exact (zenon_H1ba zenon_H6d).
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.68/21.86 exact (zenon_H8b zenon_H8a).
% 21.68/21.86 apply (zenon_L765_); trivial.
% 21.68/21.86 apply (zenon_L766_); trivial.
% 21.68/21.86 (* end of lemma zenon_L767_ *)
% 21.68/21.86 assert (zenon_L768_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H82 zenon_H77 zenon_H67 zenon_H4e zenon_H5a zenon_H55 zenon_H53 zenon_H34 zenon_H48.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.86 apply (zenon_L251_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.86 apply (zenon_L16_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.86 apply (zenon_L15_); trivial.
% 21.68/21.86 apply (zenon_L456_); trivial.
% 21.68/21.86 (* end of lemma zenon_L768_ *)
% 21.68/21.86 assert (zenon_L769_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e2)) = (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))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e0) = (e2))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H141 zenon_H13e zenon_H1bf zenon_H89 zenon_H7e zenon_H67 zenon_H104 zenon_H22d zenon_H1ef zenon_H55 zenon_H26d zenon_H1cb zenon_H191 zenon_H4d zenon_Hb6 zenon_H31 zenon_Ha0 zenon_H1a2 zenon_H94 zenon_Hfa zenon_H25 zenon_H131 zenon_H18d zenon_H48 zenon_H19a zenon_H189 zenon_H13f zenon_H163 zenon_H195 zenon_H26a zenon_H1b7 zenon_H179 zenon_H164 zenon_H125 zenon_H1d5 zenon_H1cf zenon_H5a zenon_H16a zenon_H7b zenon_H53 zenon_H77 zenon_H8b zenon_H68.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.68/21.86 apply (zenon_L645_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.68/21.86 apply (zenon_L111_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.68/21.86 exact (zenon_H7b zenon_H65).
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.68/21.86 apply (zenon_L319_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.68/21.86 exact (zenon_H8b zenon_H8a).
% 21.68/21.86 apply (zenon_L765_); trivial.
% 21.68/21.86 apply (zenon_L766_); trivial.
% 21.68/21.86 (* end of lemma zenon_L769_ *)
% 21.68/21.86 assert (zenon_L770_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H91 zenon_H89 zenon_H16a zenon_H8b zenon_H53 zenon_H77 zenon_H7b zenon_H1fe zenon_H5a zenon_H4e zenon_H55 zenon_H141 zenon_H1cf zenon_H179 zenon_H22d zenon_H26d zenon_H31 zenon_H26a zenon_H1cb zenon_H1a2 zenon_H94 zenon_H13f zenon_H19a zenon_H1b7 zenon_Ha0 zenon_H189 zenon_H18d zenon_Hb6 zenon_H163 zenon_H195 zenon_Hfa zenon_H104 zenon_H164 zenon_H1d5 zenon_H125 zenon_H48 zenon_H1ef zenon_H131 zenon_H4d zenon_H13e zenon_H82 zenon_H67 zenon_H68 zenon_H92.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.68/21.86 apply (zenon_L378_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.68/21.86 apply (zenon_L20_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.86 apply (zenon_L251_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.86 apply (zenon_L16_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.86 apply (zenon_L15_); trivial.
% 21.68/21.86 apply (zenon_L767_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.68/21.86 apply (zenon_L755_); trivial.
% 21.68/21.86 apply (zenon_L768_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.68/21.86 apply (zenon_L378_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.68/21.86 apply (zenon_L20_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.86 apply (zenon_L251_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.86 apply (zenon_L16_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.86 apply (zenon_L15_); trivial.
% 21.68/21.86 apply (zenon_L769_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.68/21.86 apply (zenon_L755_); trivial.
% 21.68/21.86 apply (zenon_L768_); trivial.
% 21.68/21.86 (* end of lemma zenon_L770_ *)
% 21.68/21.86 assert (zenon_L771_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H139 zenon_H77 zenon_Hef zenon_H173 zenon_H68 zenon_H13a zenon_H47 zenon_Hb6 zenon_H3d zenon_Ha0 zenon_H31 zenon_Ha9.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.86 apply (zenon_L251_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.86 apply (zenon_L226_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.86 apply (zenon_L264_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.86 apply (zenon_L253_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.86 apply (zenon_L55_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.86 apply (zenon_L68_); trivial.
% 21.68/21.86 apply (zenon_L92_); trivial.
% 21.68/21.86 (* end of lemma zenon_L771_ *)
% 21.68/21.86 assert (zenon_L772_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H18d zenon_H77 zenon_H31 zenon_H68 zenon_H173 zenon_Hef zenon_H16a zenon_H2c zenon_Hf0 zenon_H8b zenon_H16b zenon_H139 zenon_H186 zenon_H4d zenon_H53 zenon_H189 zenon_H7e zenon_H18a.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.68/21.86 apply (zenon_L745_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.68/21.86 apply (zenon_L138_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.68/21.86 apply (zenon_L139_); trivial.
% 21.68/21.86 apply (zenon_L140_); trivial.
% 21.68/21.86 (* end of lemma zenon_L772_ *)
% 21.68/21.86 assert (zenon_L773_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H82 zenon_Ha9 zenon_Ha0 zenon_H3d zenon_Hb6 zenon_H13a zenon_H4e zenon_H55 zenon_H18d zenon_H77 zenon_H31 zenon_H68 zenon_H173 zenon_Hef zenon_H16a zenon_H2c zenon_Hf0 zenon_H8b zenon_H16b zenon_H139 zenon_H186 zenon_H4d zenon_H53 zenon_H189 zenon_H18a.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.86 apply (zenon_L771_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.86 apply (zenon_L14_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.86 apply (zenon_L15_); trivial.
% 21.68/21.86 apply (zenon_L772_); trivial.
% 21.68/21.86 (* end of lemma zenon_L773_ *)
% 21.68/21.86 assert (zenon_L774_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H139 zenon_H1e zenon_H173 zenon_H68 zenon_H31 zenon_H16a zenon_H7b zenon_Hf0 zenon_Hef zenon_H8b zenon_H196.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.86 apply (zenon_L20_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.86 apply (zenon_L226_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.86 apply (zenon_L264_); trivial.
% 21.68/21.86 apply (zenon_L621_); trivial.
% 21.68/21.86 (* end of lemma zenon_L774_ *)
% 21.68/21.86 assert (zenon_L775_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H139 zenon_H77 zenon_H47 zenon_H173 zenon_H68 zenon_H31 zenon_H16a zenon_H7b zenon_Hf0 zenon_Hef zenon_H8b zenon_H196.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.86 apply (zenon_L251_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.86 apply (zenon_L226_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.86 apply (zenon_L264_); trivial.
% 21.68/21.86 apply (zenon_L621_); trivial.
% 21.68/21.86 (* end of lemma zenon_L775_ *)
% 21.68/21.86 assert (zenon_L776_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H82 zenon_H196 zenon_H8b zenon_Hef zenon_Hf0 zenon_H7b zenon_H16a zenon_H31 zenon_H68 zenon_H173 zenon_H77 zenon_H139 zenon_H4e zenon_H4d zenon_H55 zenon_H53 zenon_H34 zenon_H48.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.86 apply (zenon_L775_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.86 apply (zenon_L14_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.86 apply (zenon_L15_); trivial.
% 21.68/21.86 apply (zenon_L456_); trivial.
% 21.68/21.86 (* end of lemma zenon_L776_ *)
% 21.68/21.86 assert (zenon_L777_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e1))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H1fe zenon_H125 zenon_H1d5 zenon_H141 zenon_H104 zenon_H22d zenon_H26d zenon_H1cb zenon_Hb6 zenon_Ha0 zenon_H1a2 zenon_H94 zenon_Hfa zenon_H18d zenon_H19a zenon_H189 zenon_H13f zenon_H163 zenon_H195 zenon_H26a zenon_H1b7 zenon_H179 zenon_H164 zenon_H1cf zenon_H1ba zenon_H191 zenon_H131 zenon_H1ef zenon_H13e zenon_H82 zenon_H196 zenon_H8b zenon_Hef zenon_Hf0 zenon_H7b zenon_H16a zenon_H31 zenon_H68 zenon_H173 zenon_H77 zenon_H139 zenon_H4e zenon_H4d zenon_H55 zenon_H53 zenon_H48.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.68/21.86 apply (zenon_L774_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.86 apply (zenon_L775_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.86 apply (zenon_L25_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.86 apply (zenon_L15_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.86 apply (zenon_L767_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.86 apply (zenon_L226_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.86 apply (zenon_L651_); trivial.
% 21.68/21.86 apply (zenon_L621_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.68/21.86 apply (zenon_L755_); trivial.
% 21.68/21.86 apply (zenon_L776_); trivial.
% 21.68/21.86 (* end of lemma zenon_L777_ *)
% 21.68/21.86 assert (zenon_L778_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H92 zenon_H139 zenon_Hf0 zenon_H196 zenon_H31 zenon_Hef zenon_H173 zenon_H68 zenon_H82 zenon_H141 zenon_H1ba zenon_H1cf zenon_H179 zenon_H22d zenon_H26d zenon_H26a zenon_H1cb zenon_H1a2 zenon_H94 zenon_H13f zenon_H19a zenon_H1b7 zenon_Ha0 zenon_H189 zenon_H18d zenon_Hb6 zenon_H163 zenon_H195 zenon_Hfa zenon_H104 zenon_H164 zenon_H1d5 zenon_H125 zenon_H1ef zenon_H131 zenon_H4d zenon_H13e zenon_H55 zenon_H48 zenon_H4e zenon_H1fe zenon_H7b zenon_H77 zenon_H53 zenon_H8b zenon_H16a.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.68/21.86 apply (zenon_L378_); trivial.
% 21.68/21.86 apply (zenon_L777_); trivial.
% 21.68/21.86 (* end of lemma zenon_L778_ *)
% 21.68/21.86 assert (zenon_L779_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H16a zenon_H7b zenon_Hf0 zenon_Hef zenon_H8b zenon_H16b.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.68/21.86 exact (zenon_H7b zenon_H65).
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.68/21.86 apply (zenon_L61_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.68/21.86 exact (zenon_H8b zenon_H8a).
% 21.68/21.86 exact (zenon_H16b zenon_H93).
% 21.68/21.86 (* end of lemma zenon_L779_ *)
% 21.68/21.86 assert (zenon_L780_ : ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H11f zenon_H7f zenon_H1b7.
% 21.68/21.86 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.68/21.86 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 21.68/21.86 intro zenon_D_pnotp.
% 21.68/21.86 apply zenon_H1b7.
% 21.68/21.86 rewrite <- zenon_D_pnotp.
% 21.68/21.86 exact zenon_H12a.
% 21.68/21.86 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.68/21.86 cut (((op (e3) (e3)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1b8].
% 21.68/21.86 congruence.
% 21.68/21.86 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e3) (e1)))).
% 21.68/21.86 intro zenon_D_pnotp.
% 21.68/21.86 apply zenon_H1b8.
% 21.68/21.86 rewrite <- zenon_D_pnotp.
% 21.68/21.86 exact zenon_H11f.
% 21.68/21.86 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H80].
% 21.68/21.86 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.68/21.86 congruence.
% 21.68/21.86 apply zenon_H12b. apply refl_equal.
% 21.68/21.86 apply zenon_H80. apply sym_equal. exact zenon_H7f.
% 21.68/21.86 apply zenon_H12b. apply refl_equal.
% 21.68/21.86 apply zenon_H12b. apply refl_equal.
% 21.68/21.86 (* end of lemma zenon_L780_ *)
% 21.68/21.86 assert (zenon_L781_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H1cf zenon_H68 zenon_H31 zenon_H77 zenon_H4d zenon_H8b zenon_H17c zenon_H1cb.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.68/21.86 apply (zenon_L264_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.68/21.86 apply (zenon_L59_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.68/21.86 exact (zenon_H8b zenon_H8a).
% 21.68/21.86 apply (zenon_L236_); trivial.
% 21.68/21.86 (* end of lemma zenon_L781_ *)
% 21.68/21.86 assert (zenon_L782_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e2) (e2)) = (e2)) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H2f zenon_H8a.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.68/21.86 apply (zenon_L36_); trivial.
% 21.68/21.86 (* end of lemma zenon_L782_ *)
% 21.68/21.86 assert (zenon_L783_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> False).
% 21.68/21.86 do 0 intro. intros zenon_Hcb zenon_H17c zenon_Hbb.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.68/21.86 exact (zenon_H1a3 zenon_Hbb).
% 21.68/21.86 exact (zenon_H181 zenon_H17c).
% 21.68/21.86 (* end of lemma zenon_L783_ *)
% 21.68/21.86 assert (zenon_L784_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H36 zenon_H17c zenon_Hbb.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.68/21.86 apply (zenon_L783_); trivial.
% 21.68/21.86 (* end of lemma zenon_L784_ *)
% 21.68/21.86 assert (zenon_L785_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H139 zenon_H6c zenon_H77 zenon_H3d zenon_H8a zenon_H111 zenon_H17c zenon_H1b4.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.86 exact (zenon_H6c zenon_H67).
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.86 apply (zenon_L214_); trivial.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.86 apply (zenon_L258_); trivial.
% 21.68/21.86 apply (zenon_L347_); trivial.
% 21.68/21.86 (* end of lemma zenon_L785_ *)
% 21.68/21.86 assert (zenon_L786_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H3a zenon_H77 zenon_H111 zenon_H8a zenon_H1b4 zenon_H17c zenon_H139 zenon_H31.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 21.68/21.86 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 21.68/21.86 exact (zenon_H237 zenon_H31).
% 21.68/21.86 apply (zenon_L785_); trivial.
% 21.68/21.86 (* end of lemma zenon_L786_ *)
% 21.68/21.86 assert (zenon_L787_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e2) (e2)) = (e2)) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H5a zenon_H8a.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.68/21.86 apply (zenon_L36_); trivial.
% 21.68/21.86 (* end of lemma zenon_L787_ *)
% 21.68/21.86 assert (zenon_L788_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> False).
% 21.68/21.86 do 0 intro. intros zenon_H61 zenon_H17c zenon_Hbb.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.68/21.86 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.68/21.86 apply (zenon_L783_); trivial.
% 21.68/21.86 (* end of lemma zenon_L788_ *)
% 21.68/21.86 assert (zenon_L789_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H63 zenon_H111 zenon_H8a.
% 21.68/21.87 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 21.68/21.87 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 21.68/21.87 apply (zenon_L258_); trivial.
% 21.68/21.87 (* end of lemma zenon_L789_ *)
% 21.68/21.87 assert (zenon_L790_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H99 zenon_H17c zenon_Hbb.
% 21.68/21.87 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.68/21.87 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 21.68/21.87 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.68/21.87 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.68/21.87 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.68/21.87 apply (zenon_L783_); trivial.
% 21.68/21.87 (* end of lemma zenon_L790_ *)
% 21.68/21.87 assert (zenon_L791_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H9b zenon_Hbb zenon_Hbc.
% 21.68/21.87 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 21.68/21.87 apply (zenon_L48_); trivial.
% 21.68/21.87 (* end of lemma zenon_L791_ *)
% 21.68/21.87 assert (zenon_L792_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e2) (e2)) = (e2)) -> False).
% 21.68/21.87 do 0 intro. intros zenon_Hc0 zenon_H8a.
% 21.68/21.87 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 21.68/21.87 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 21.68/21.87 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.68/21.87 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.68/21.87 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.68/21.87 apply (zenon_L36_); trivial.
% 21.68/21.87 (* end of lemma zenon_L792_ *)
% 21.68/21.87 assert (zenon_L793_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H1b4 zenon_H139 zenon_H1d8 zenon_H271 zenon_H68 zenon_H31 zenon_H77 zenon_H4d zenon_H1cb zenon_H17c zenon_H1cf.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H8b | zenon_intro zenon_H8a ].
% 21.68/21.87 apply (zenon_L781_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H181 | zenon_intro zenon_Hbb ].
% 21.68/21.87 exact (zenon_H181 zenon_H17c).
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.68/21.87 apply (zenon_L2_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.68/21.87 apply (zenon_L700_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.68/21.87 apply (zenon_L782_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.68/21.87 apply (zenon_L784_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.68/21.87 apply (zenon_L786_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.68/21.87 apply (zenon_L11_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.68/21.87 apply (zenon_L787_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.68/21.87 apply (zenon_L788_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.68/21.87 apply (zenon_L789_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.68/21.87 apply (zenon_L343_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.68/21.87 apply (zenon_L37_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.68/21.87 apply (zenon_L790_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.68/21.87 apply (zenon_L791_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.68/21.87 apply (zenon_L361_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.68/21.87 apply (zenon_L792_); trivial.
% 21.68/21.87 apply (zenon_L51_); trivial.
% 21.68/21.87 (* end of lemma zenon_L793_ *)
% 21.68/21.87 assert (zenon_L794_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H1bb zenon_H18a zenon_H34 zenon_H1b7 zenon_H7f zenon_H1cf zenon_H77 zenon_H68 zenon_H271 zenon_H1d8 zenon_H139 zenon_H1b4 zenon_H111 zenon_Hbc zenon_H1cd zenon_Hcc zenon_H270 zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H4d zenon_H191 zenon_H1cb.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.68/21.87 apply (zenon_L416_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.68/21.87 apply (zenon_L780_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.68/21.87 apply (zenon_L793_); trivial.
% 21.68/21.87 apply (zenon_L762_); trivial.
% 21.68/21.87 (* end of lemma zenon_L794_ *)
% 21.68/21.87 assert (zenon_L795_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((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)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H12e zenon_H48 zenon_H1cb zenon_H191 zenon_H4d zenon_Hb6 zenon_H31 zenon_Ha0 zenon_H1a2 zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H139 zenon_H1d8 zenon_H271 zenon_H68 zenon_H1cf zenon_H1b7 zenon_H34 zenon_H18a zenon_H1bb zenon_H160 zenon_H77 zenon_H155 zenon_H1b4.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.68/21.87 apply (zenon_L456_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.68/21.87 apply (zenon_L794_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.68/21.87 apply (zenon_L367_); trivial.
% 21.68/21.87 apply (zenon_L187_); trivial.
% 21.68/21.87 (* end of lemma zenon_L795_ *)
% 21.68/21.87 assert (zenon_L796_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H92 zenon_H13e zenon_H1bf zenon_H2d zenon_H1ef zenon_H89 zenon_H93.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.68/21.87 exact (zenon_H16b zenon_H93).
% 21.68/21.87 apply (zenon_L645_); trivial.
% 21.68/21.87 (* end of lemma zenon_L796_ *)
% 21.68/21.87 assert (zenon_L797_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H22d zenon_H93 zenon_H89 zenon_H1ef zenon_H1bf zenon_H13e zenon_H92 zenon_H55 zenon_H53 zenon_H7b zenon_Hb9 zenon_H94.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H2d | zenon_intro zenon_H22e ].
% 21.68/21.87 apply (zenon_L796_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H54 | zenon_intro zenon_H22f ].
% 21.68/21.87 apply (zenon_L15_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha8 ].
% 21.68/21.87 exact (zenon_H7b zenon_H65).
% 21.68/21.87 apply (zenon_L47_); trivial.
% 21.68/21.87 (* end of lemma zenon_L797_ *)
% 21.68/21.87 assert (zenon_L798_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (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))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e0) = (e2))) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H141 zenon_H94 zenon_H55 zenon_H92 zenon_H13e zenon_H1bf zenon_H1ef zenon_H89 zenon_H22d zenon_H191 zenon_Hf0 zenon_H10c zenon_H164 zenon_H1b4 zenon_H155 zenon_H1bb zenon_H18a zenon_H1cf zenon_H271 zenon_H1d8 zenon_H139 zenon_H111 zenon_Hbc zenon_H1cd zenon_Hcc zenon_H270 zenon_H12e zenon_H1b7 zenon_H26a zenon_H195 zenon_H163 zenon_H13f zenon_H189 zenon_H19a zenon_H48 zenon_H18d zenon_H131 zenon_H25 zenon_Hfa zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H4d zenon_H1cb zenon_H26d zenon_H104 zenon_H67 zenon_H7e zenon_H117 zenon_Hef zenon_H156 zenon_H5a zenon_H16a zenon_H7b zenon_H53 zenon_H77 zenon_H8b zenon_H68.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.68/21.87 apply (zenon_L644_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.68/21.87 apply (zenon_L111_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.68/21.87 exact (zenon_H7b zenon_H65).
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.68/21.87 apply (zenon_L319_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.68/21.87 exact (zenon_H8b zenon_H8a).
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.68/21.87 apply (zenon_L264_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.68/21.87 apply (zenon_L100_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.68/21.87 exact (zenon_H8b zenon_H8a).
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.87 apply (zenon_L795_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.87 apply (zenon_L763_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.87 apply (zenon_L257_); trivial.
% 21.68/21.87 apply (zenon_L547_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.68/21.87 apply (zenon_L74_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.68/21.87 exact (zenon_H191 zenon_H110).
% 21.68/21.87 apply (zenon_L797_); trivial.
% 21.68/21.87 apply (zenon_L766_); trivial.
% 21.68/21.87 (* end of lemma zenon_L798_ *)
% 21.68/21.87 assert (zenon_L799_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H16a zenon_H7b zenon_H77 zenon_H5a zenon_H8b zenon_H19a zenon_H48 zenon_H155 zenon_Ha5 zenon_Ha0 zenon_H68 zenon_H67 zenon_H7e.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.68/21.87 exact (zenon_H7b zenon_H65).
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.68/21.87 apply (zenon_L319_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.68/21.87 exact (zenon_H8b zenon_H8a).
% 21.68/21.87 apply (zenon_L549_); trivial.
% 21.68/21.87 (* end of lemma zenon_L799_ *)
% 21.68/21.87 assert (zenon_L800_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (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 (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e1))) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H1fe zenon_H125 zenon_H1d5 zenon_H13c zenon_H156 zenon_H117 zenon_H104 zenon_H26d zenon_H1cb zenon_H1a2 zenon_Hfa zenon_H131 zenon_H18d zenon_H189 zenon_H13f zenon_H163 zenon_H195 zenon_H26a zenon_H1b7 zenon_H12e zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H1d8 zenon_H271 zenon_H1cf zenon_H18a zenon_H1bb zenon_H1b4 zenon_H164 zenon_H22d zenon_H89 zenon_H92 zenon_H94 zenon_H141 zenon_Hb6 zenon_H5a zenon_H19a zenon_Ha0 zenon_Ha9 zenon_H13a zenon_H73 zenon_H179 zenon_H15d zenon_H191 zenon_H1bf zenon_H1ef zenon_H13e zenon_H82 zenon_H196 zenon_H8b zenon_Hef zenon_Hf0 zenon_H7b zenon_H16a zenon_H31 zenon_H68 zenon_H173 zenon_H77 zenon_H139 zenon_H4e zenon_H4d zenon_H55 zenon_H53 zenon_H48.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.68/21.87 apply (zenon_L774_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.87 apply (zenon_L775_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.87 apply (zenon_L775_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.87 apply (zenon_L14_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.87 apply (zenon_L15_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.87 apply (zenon_L769_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.87 apply (zenon_L214_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.87 apply (zenon_L264_); trivial.
% 21.68/21.87 apply (zenon_L321_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.87 apply (zenon_L184_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.87 apply (zenon_L744_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.87 apply (zenon_L25_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.87 apply (zenon_L15_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.68/21.87 apply (zenon_L116_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.68/21.87 apply (zenon_L798_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.68/21.87 apply (zenon_L124_); trivial.
% 21.68/21.87 apply (zenon_L799_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.87 apply (zenon_L226_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.87 apply (zenon_L651_); trivial.
% 21.68/21.87 apply (zenon_L621_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.68/21.87 apply (zenon_L644_); trivial.
% 21.68/21.87 apply (zenon_L776_); trivial.
% 21.68/21.87 (* end of lemma zenon_L800_ *)
% 21.68/21.87 assert (zenon_L801_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H139 zenon_H1e zenon_Hef zenon_H173 zenon_H68 zenon_H31 zenon_H155 zenon_H77.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.87 apply (zenon_L20_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.87 apply (zenon_L226_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.87 apply (zenon_L264_); trivial.
% 21.68/21.87 apply (zenon_L98_); trivial.
% 21.68/21.87 (* end of lemma zenon_L801_ *)
% 21.68/21.87 assert (zenon_L802_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H7d zenon_H34 zenon_He0.
% 21.68/21.87 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 21.68/21.87 intro zenon_D_pnotp.
% 21.68/21.87 apply zenon_H7d.
% 21.68/21.87 rewrite <- zenon_D_pnotp.
% 21.68/21.87 exact zenon_H34.
% 21.68/21.87 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 21.68/21.87 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 21.68/21.87 congruence.
% 21.68/21.87 apply zenon_H81. apply refl_equal.
% 21.68/21.87 apply zenon_H1f2. apply sym_equal. exact zenon_He0.
% 21.68/21.87 (* end of lemma zenon_L802_ *)
% 21.68/21.87 assert (zenon_L803_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H24e zenon_H34 zenon_H1b7 zenon_H11f zenon_H1cd zenon_H160 zenon_H9d zenon_H7d.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_He0 | zenon_intro zenon_H24f ].
% 21.68/21.87 apply (zenon_L802_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H7f | zenon_intro zenon_H250 ].
% 21.68/21.87 apply (zenon_L780_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H171 | zenon_intro zenon_Hac ].
% 21.68/21.87 apply (zenon_L240_); trivial.
% 21.68/21.87 apply (zenon_L44_); trivial.
% 21.68/21.87 (* end of lemma zenon_L803_ *)
% 21.68/21.87 assert (zenon_L804_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H12e zenon_Hb6 zenon_H53 zenon_H1f1 zenon_H77 zenon_H24e zenon_H34 zenon_H1b7 zenon_H1cd zenon_H160 zenon_H9d zenon_H7d.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.68/21.87 apply (zenon_L134_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.68/21.87 apply (zenon_L284_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.68/21.87 apply (zenon_L367_); trivial.
% 21.68/21.87 apply (zenon_L803_); trivial.
% 21.68/21.87 (* end of lemma zenon_L804_ *)
% 21.68/21.87 assert (zenon_L805_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H12e zenon_H48 zenon_H34 zenon_H53 zenon_H1f1 zenon_H4d zenon_H163 zenon_Hb6 zenon_Hc3.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.68/21.87 apply (zenon_L456_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.68/21.87 apply (zenon_L284_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.68/21.87 apply (zenon_L285_); trivial.
% 21.68/21.87 apply (zenon_L81_); trivial.
% 21.68/21.87 (* end of lemma zenon_L805_ *)
% 21.68/21.87 assert (zenon_L806_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H117 zenon_Ha9 zenon_H65 zenon_Hb6 zenon_H53 zenon_H104 zenon_Hbb zenon_Ha0 zenon_H115.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.68/21.87 apply (zenon_L43_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.68/21.87 apply (zenon_L113_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.68/21.87 apply (zenon_L129_); trivial.
% 21.68/21.87 apply (zenon_L77_); trivial.
% 21.68/21.87 (* end of lemma zenon_L806_ *)
% 21.68/21.87 assert (zenon_L807_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H1cf zenon_H68 zenon_H31 zenon_H8b zenon_H121 zenon_H1cd zenon_H1b7 zenon_H24e zenon_H77 zenon_H163 zenon_H4d zenon_H1f1 zenon_H34 zenon_H48 zenon_H12e zenon_Hb2 zenon_H47 zenon_H5d zenon_H7d zenon_Hf6 zenon_H26a zenon_H115 zenon_Ha0 zenon_H104 zenon_H53 zenon_H65 zenon_Ha9 zenon_H117 zenon_Hb6.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.68/21.87 apply (zenon_L264_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.68/21.87 apply (zenon_L59_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.68/21.87 exact (zenon_H8b zenon_H8a).
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.68/21.87 apply (zenon_L456_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.68/21.87 apply (zenon_L284_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.68/21.87 apply (zenon_L367_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.68/21.87 apply (zenon_L804_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H9e | zenon_intro zenon_H26b ].
% 21.68/21.87 apply (zenon_L92_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H26c ].
% 21.68/21.87 apply (zenon_L356_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc3 ].
% 21.68/21.87 apply (zenon_L77_); trivial.
% 21.68/21.87 apply (zenon_L805_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.68/21.87 apply (zenon_L806_); trivial.
% 21.68/21.87 apply (zenon_L81_); trivial.
% 21.68/21.87 (* end of lemma zenon_L807_ *)
% 21.68/21.87 assert (zenon_L808_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H12e zenon_H9d zenon_Hb6 zenon_H48 zenon_H160 zenon_H77 zenon_Hef zenon_He0.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.68/21.87 apply (zenon_L134_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.68/21.87 apply (zenon_L57_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.68/21.87 apply (zenon_L367_); trivial.
% 21.68/21.87 apply (zenon_L662_); trivial.
% 21.68/21.87 (* end of lemma zenon_L808_ *)
% 21.68/21.87 assert (zenon_L809_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((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) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e1))) -> False).
% 21.68/21.87 do 0 intro. intros zenon_H1fe zenon_H2c zenon_Hf0 zenon_H73 zenon_H18d zenon_H186 zenon_H189 zenon_H18a zenon_H125 zenon_H129 zenon_H177 zenon_H164 zenon_H156 zenon_H15d zenon_H16b zenon_H8b zenon_H1cf zenon_H121 zenon_H1cd zenon_H1b7 zenon_H24e zenon_H163 zenon_H1f1 zenon_H12e zenon_Hb2 zenon_H5d zenon_H7d zenon_H26a zenon_H104 zenon_H117 zenon_H16a zenon_H13d zenon_H141 zenon_H4d zenon_Hef zenon_H173 zenon_H82 zenon_H77 zenon_H31 zenon_H68 zenon_H13a zenon_Ha9 zenon_Ha0 zenon_Hb6 zenon_H139 zenon_H4e zenon_H5a zenon_H55 zenon_H53 zenon_H48.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.87 apply (zenon_L13_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.87 apply (zenon_L773_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.87 apply (zenon_L239_); trivial.
% 21.68/21.87 apply (zenon_L801_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.87 apply (zenon_L620_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.87 apply (zenon_L226_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.87 apply (zenon_L264_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.68/21.87 apply (zenon_L251_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.68/21.87 apply (zenon_L171_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.68/21.87 apply (zenon_L253_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.68/21.87 apply (zenon_L116_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.68/21.87 apply (zenon_L112_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.68/21.87 apply (zenon_L27_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.68/21.87 apply (zenon_L111_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.68/21.87 exact (zenon_H13d zenon_H14c).
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.68/21.87 apply (zenon_L264_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.68/21.87 apply (zenon_L100_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.68/21.87 exact (zenon_H8b zenon_H8a).
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.87 apply (zenon_L807_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.87 apply (zenon_L808_); trivial.
% 21.68/21.87 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.88 apply (zenon_L406_); trivial.
% 21.68/21.88 apply (zenon_L298_); trivial.
% 21.68/21.88 apply (zenon_L325_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.88 apply (zenon_L771_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.88 apply (zenon_L25_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.88 apply (zenon_L15_); trivial.
% 21.68/21.88 apply (zenon_L772_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.88 apply (zenon_L184_); trivial.
% 21.68/21.88 apply (zenon_L745_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.68/21.88 apply (zenon_L327_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.88 apply (zenon_L251_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.88 apply (zenon_L226_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.88 apply (zenon_L264_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.68/21.88 apply (zenon_L327_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.68/21.88 apply (zenon_L111_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.68/21.88 exact (zenon_H13d zenon_H14c).
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.68/21.88 apply (zenon_L807_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.68/21.88 apply (zenon_L319_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.68/21.88 exact (zenon_H8b zenon_H8a).
% 21.68/21.88 exact (zenon_H16b zenon_H93).
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.88 apply (zenon_L771_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.88 apply (zenon_L14_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.88 apply (zenon_L15_); trivial.
% 21.68/21.88 apply (zenon_L456_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.88 apply (zenon_L239_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.88 apply (zenon_L744_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.88 apply (zenon_L16_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.88 apply (zenon_L15_); trivial.
% 21.68/21.88 apply (zenon_L456_); trivial.
% 21.68/21.88 (* end of lemma zenon_L809_ *)
% 21.68/21.88 assert (zenon_L810_ : (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H1f1 zenon_H121 zenon_Hb2 zenon_H5d zenon_H24e zenon_H7d zenon_H177 zenon_H129 zenon_H2c zenon_H186 zenon_H190 zenon_H139 zenon_Hf0 zenon_H196 zenon_H31 zenon_Hef zenon_H173 zenon_H68 zenon_H82 zenon_H141 zenon_H1cf zenon_H179 zenon_H22d zenon_H26d zenon_H26a zenon_H1cb zenon_H1a2 zenon_H94 zenon_H13f zenon_H19a zenon_H1b7 zenon_Ha0 zenon_H189 zenon_H18d zenon_Hb6 zenon_H163 zenon_H195 zenon_Hfa zenon_H104 zenon_H164 zenon_H1d5 zenon_H125 zenon_H1ef zenon_H131 zenon_H13e zenon_H55 zenon_H48 zenon_H4e zenon_H1fe zenon_H77 zenon_H8b zenon_H16a zenon_H15d zenon_Ha9 zenon_H13a zenon_H1bb zenon_H271 zenon_H1d8 zenon_H1b4 zenon_H111 zenon_Hbc zenon_H1cd zenon_Hcc zenon_H270 zenon_H18a zenon_H12e zenon_H117 zenon_H156 zenon_H13c zenon_H73 zenon_H5a.
% 21.68/21.88 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.68/21.88 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 21.68/21.88 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.68/21.88 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.68/21.88 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 21.68/21.88 apply (zenon_L778_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.68/21.88 apply (zenon_L779_); trivial.
% 21.68/21.88 apply (zenon_L800_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.68/21.88 apply (zenon_L809_); trivial.
% 21.68/21.88 apply (zenon_L176_); trivial.
% 21.68/21.88 (* end of lemma zenon_L810_ *)
% 21.68/21.88 assert (zenon_L811_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (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) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H1a8 zenon_H16b zenon_H6f zenon_H67 zenon_H5a zenon_H73 zenon_H13c zenon_H156 zenon_H117 zenon_H12e zenon_H18a zenon_H270 zenon_Hcc zenon_Hbc zenon_H111 zenon_H1b4 zenon_H1d8 zenon_H271 zenon_H1bb zenon_H13a zenon_Ha9 zenon_H15d zenon_H16a zenon_H1fe zenon_H4e zenon_H48 zenon_H55 zenon_H13e zenon_H131 zenon_H1ef zenon_H125 zenon_H1d5 zenon_H164 zenon_H104 zenon_Hfa zenon_H195 zenon_H163 zenon_Hb6 zenon_H18d zenon_H189 zenon_Ha0 zenon_H1b7 zenon_H19a zenon_H13f zenon_H94 zenon_H1a2 zenon_H1cb zenon_H26a zenon_H26d zenon_H22d zenon_H179 zenon_H141 zenon_H82 zenon_H173 zenon_H196 zenon_Hf0 zenon_H139 zenon_H190 zenon_H2c zenon_H129 zenon_H177 zenon_H7d zenon_H24e zenon_H5d zenon_Hb2 zenon_H121 zenon_H1f1 zenon_H53 zenon_H77 zenon_H1cf zenon_H68 zenon_H31 zenon_Hf7 zenon_H186 zenon_H8b zenon_H1cd.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.68/21.88 apply (zenon_L714_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.68/21.88 apply (zenon_L810_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.68/21.88 apply (zenon_L56_); trivial.
% 21.68/21.88 apply (zenon_L709_); trivial.
% 21.68/21.88 (* end of lemma zenon_L811_ *)
% 21.68/21.88 assert (zenon_L812_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (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))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e1))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H1cd zenon_H186 zenon_H31 zenon_H1cf zenon_H1f1 zenon_H121 zenon_Hb2 zenon_H5d zenon_H24e zenon_H7d zenon_H177 zenon_H129 zenon_H2c zenon_H190 zenon_H139 zenon_Hf0 zenon_H196 zenon_H173 zenon_H141 zenon_H179 zenon_H22d zenon_H26d zenon_H26a zenon_H1cb zenon_H1a2 zenon_H94 zenon_H13f zenon_H19a zenon_H1b7 zenon_Ha0 zenon_H189 zenon_H18d zenon_Hb6 zenon_H163 zenon_H195 zenon_Hfa zenon_H104 zenon_H164 zenon_H1d5 zenon_H125 zenon_H1ef zenon_H131 zenon_H13e zenon_H1fe zenon_H15d zenon_Ha9 zenon_H13a zenon_H1bb zenon_H271 zenon_H1d8 zenon_H1b4 zenon_H111 zenon_Hbc zenon_Hcc zenon_H270 zenon_H18a zenon_H12e zenon_H117 zenon_H156 zenon_H13c zenon_H73 zenon_H6f zenon_H1a8 zenon_H4d zenon_H16b zenon_H8b zenon_H68 zenon_H16a zenon_H82 zenon_H77 zenon_H67 zenon_H4e zenon_H5a zenon_H55 zenon_H53 zenon_H48.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.68/21.88 apply (zenon_L20_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.88 apply (zenon_L251_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.88 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.88 apply (zenon_L171_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.88 apply (zenon_L773_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.88 apply (zenon_L59_); trivial.
% 21.68/21.88 apply (zenon_L811_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.88 apply (zenon_L184_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.88 apply (zenon_L171_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.88 apply (zenon_L745_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.88 apply (zenon_L59_); trivial.
% 21.68/21.88 apply (zenon_L811_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.68/21.88 apply (zenon_L327_); trivial.
% 21.68/21.88 apply (zenon_L768_); trivial.
% 21.68/21.88 (* end of lemma zenon_L812_ *)
% 21.68/21.88 assert (zenon_L813_ : ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H8f zenon_H6f zenon_H73 zenon_H13c zenon_H156 zenon_H117 zenon_H12e zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H1b4 zenon_H1d8 zenon_H271 zenon_H1bb zenon_H15d zenon_H196 zenon_H190 zenon_H129 zenon_H177 zenon_H7d zenon_H24e zenon_H5d zenon_Hb2 zenon_H121 zenon_H1f1 zenon_H1a8 zenon_H139 zenon_Ha9 zenon_H13a zenon_H173 zenon_H18a zenon_H186 zenon_Hf0 zenon_H2c zenon_H92 zenon_H68 zenon_H67 zenon_H82 zenon_H13e zenon_H4d zenon_H131 zenon_H1ef zenon_H48 zenon_H125 zenon_H1d5 zenon_H164 zenon_H104 zenon_Hfa zenon_H195 zenon_H163 zenon_Hb6 zenon_H18d zenon_H189 zenon_Ha0 zenon_H1b7 zenon_H19a zenon_H13f zenon_H94 zenon_H1a2 zenon_H1cb zenon_H26a zenon_H31 zenon_H26d zenon_H22d zenon_H179 zenon_H1cf zenon_H141 zenon_H55 zenon_H4e zenon_H5a zenon_H1fe zenon_H77 zenon_H53 zenon_H8b zenon_H16a zenon_H89 zenon_H91.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.68/21.88 apply (zenon_L770_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.68/21.88 apply (zenon_L812_); trivial.
% 21.68/21.88 apply (zenon_L176_); trivial.
% 21.68/21.88 (* end of lemma zenon_L813_ *)
% 21.68/21.88 assert (zenon_L814_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H63 zenon_H31 zenon_H68.
% 21.68/21.88 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 21.68/21.88 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 21.68/21.88 apply (zenon_L264_); trivial.
% 21.68/21.88 (* end of lemma zenon_L814_ *)
% 21.68/21.88 assert (zenon_L815_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H121 zenon_H209 zenon_H1c7 zenon_H104 zenon_H110 zenon_Hc4.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.68/21.88 exact (zenon_H209 zenon_H9d).
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.68/21.88 exact (zenon_H1c7 zenon_Hac).
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.68/21.88 apply (zenon_L129_); trivial.
% 21.68/21.88 exact (zenon_Hc4 zenon_Hc3).
% 21.68/21.88 (* end of lemma zenon_L815_ *)
% 21.68/21.88 assert (zenon_L816_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H1bb zenon_H1cd zenon_Hbb zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H1b4 zenon_H155 zenon_H181 zenon_Hc4.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.68/21.88 apply (zenon_L560_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.68/21.88 apply (zenon_L187_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.68/21.88 exact (zenon_H181 zenon_H17c).
% 21.68/21.88 exact (zenon_Hc4 zenon_Hc3).
% 21.68/21.88 (* end of lemma zenon_L816_ *)
% 21.68/21.88 assert (zenon_L817_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H15d zenon_H196 zenon_H93 zenon_H177 zenon_H77 zenon_H1e zenon_H68 zenon_H139 zenon_H48 zenon_H31 zenon_H1bb zenon_H1cd zenon_Hbb zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.88 apply (zenon_L13_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.88 apply (zenon_L215_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.88 apply (zenon_L239_); trivial.
% 21.68/21.88 apply (zenon_L816_); trivial.
% 21.68/21.88 (* end of lemma zenon_L817_ *)
% 21.68/21.88 assert (zenon_L818_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H139 zenon_H47 zenon_H77 zenon_H3d zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.88 apply (zenon_L251_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.88 apply (zenon_L214_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.88 apply (zenon_L122_); trivial.
% 21.68/21.88 apply (zenon_L167_); trivial.
% 21.68/21.88 (* end of lemma zenon_L818_ *)
% 21.68/21.88 assert (zenon_L819_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H121 zenon_H33 zenon_H9f zenon_H1c7 zenon_H104 zenon_H110 zenon_Hc4.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.68/21.88 apply (zenon_L245_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.68/21.88 exact (zenon_H1c7 zenon_Hac).
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.68/21.88 apply (zenon_L129_); trivial.
% 21.68/21.88 exact (zenon_Hc4 zenon_Hc3).
% 21.68/21.88 (* end of lemma zenon_L819_ *)
% 21.68/21.88 assert (zenon_L820_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (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 (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H12e zenon_H48 zenon_H34 zenon_H3d zenon_H192 zenon_H160 zenon_H77 zenon_H25e zenon_H195 zenon_H93 zenon_H20f zenon_Hf5 zenon_H25b zenon_H1b4 zenon_H9f zenon_Hb9 zenon_H196.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.68/21.88 apply (zenon_L456_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.68/21.88 apply (zenon_L146_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.68/21.88 apply (zenon_L367_); trivial.
% 21.68/21.88 apply (zenon_L674_); trivial.
% 21.68/21.88 (* end of lemma zenon_L820_ *)
% 21.68/21.88 assert (zenon_L821_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H19a zenon_H26d zenon_H31 zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_He0 zenon_H1b7.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.68/21.88 apply (zenon_L756_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.68/21.88 apply (zenon_L157_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.68/21.88 apply (zenon_L158_); trivial.
% 21.68/21.88 apply (zenon_L556_); trivial.
% 21.68/21.88 (* end of lemma zenon_L821_ *)
% 21.68/21.88 assert (zenon_L822_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H18d zenon_Hc4 zenon_H181 zenon_H1b4 zenon_H24e zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H160 zenon_Hbb zenon_H1cd zenon_H1bb zenon_H1b7 zenon_H68 zenon_H93 zenon_H48 zenon_H31 zenon_H26d zenon_H19a zenon_Hb9 zenon_Hb6 zenon_Hef zenon_He0.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.68/21.88 apply (zenon_L816_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.68/21.88 apply (zenon_L821_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.68/21.88 apply (zenon_L182_); trivial.
% 21.68/21.88 apply (zenon_L662_); trivial.
% 21.68/21.88 (* end of lemma zenon_L822_ *)
% 21.68/21.88 assert (zenon_L823_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H164 zenon_H196 zenon_H9f zenon_H25b zenon_Hf5 zenon_H20f zenon_H195 zenon_H25e zenon_H77 zenon_H192 zenon_H3d zenon_H12e zenon_Hef zenon_Hb6 zenon_Hb9 zenon_H19a zenon_H26d zenon_H48 zenon_H93 zenon_H68 zenon_H1bb zenon_Hbb zenon_H1b4 zenon_H181 zenon_H18d zenon_H31 zenon_H177 zenon_H121 zenon_H11a zenon_H10c zenon_H1cd zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_Hc4.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.88 apply (zenon_L820_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.88 apply (zenon_L822_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.88 apply (zenon_L406_); trivial.
% 21.68/21.88 apply (zenon_L561_); trivial.
% 21.68/21.88 (* end of lemma zenon_L823_ *)
% 21.68/21.88 assert (zenon_L824_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H117 zenon_H54 zenon_Hf0 zenon_H104 zenon_H1c7 zenon_H33 zenon_H164 zenon_H196 zenon_H9f zenon_H25b zenon_Hf5 zenon_H20f zenon_H195 zenon_H25e zenon_H77 zenon_H192 zenon_H3d zenon_H12e zenon_Hef zenon_Hb6 zenon_H19a zenon_H26d zenon_H48 zenon_H93 zenon_H68 zenon_H1bb zenon_Hbb zenon_H1b4 zenon_H181 zenon_H18d zenon_H31 zenon_H177 zenon_H121 zenon_H11a zenon_H10c zenon_H1cd zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_Hc4.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.68/21.88 apply (zenon_L151_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.68/21.88 apply (zenon_L74_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.68/21.88 apply (zenon_L819_); trivial.
% 21.68/21.88 apply (zenon_L823_); trivial.
% 21.68/21.88 (* end of lemma zenon_L824_ *)
% 21.68/21.88 assert (zenon_L825_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H13f zenon_H48 zenon_H2d zenon_Hb6 zenon_H10d zenon_H4d zenon_H131 zenon_H77 zenon_H93.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.68/21.88 apply (zenon_L217_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.68/21.88 apply (zenon_L113_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.68/21.88 apply (zenon_L128_); trivial.
% 21.68/21.88 apply (zenon_L218_); trivial.
% 21.68/21.88 (* end of lemma zenon_L825_ *)
% 21.68/21.88 assert (zenon_L826_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha0 zenon_Hdd zenon_H104 zenon_Hbb zenon_Ha5 zenon_H195.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.68/21.88 apply (zenon_L151_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.68/21.88 apply (zenon_L152_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.68/21.88 apply (zenon_L129_); trivial.
% 21.68/21.88 apply (zenon_L172_); trivial.
% 21.68/21.88 (* end of lemma zenon_L826_ *)
% 21.68/21.88 assert (zenon_L827_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H93 zenon_H77 zenon_Hef zenon_He0.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.68/21.88 apply (zenon_L246_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.68/21.88 apply (zenon_L413_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.68/21.88 apply (zenon_L218_); trivial.
% 21.68/21.88 apply (zenon_L662_); trivial.
% 21.68/21.88 (* end of lemma zenon_L827_ *)
% 21.68/21.88 assert (zenon_L828_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_Hfa zenon_H68 zenon_H25 zenon_He0 zenon_H77 zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H160 zenon_H163 zenon_H93 zenon_H195.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.88 apply (zenon_L171_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.88 apply (zenon_L827_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.88 apply (zenon_L227_); trivial.
% 21.68/21.88 apply (zenon_L228_); trivial.
% 21.68/21.88 (* end of lemma zenon_L828_ *)
% 21.68/21.88 assert (zenon_L829_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H19a zenon_H195 zenon_H163 zenon_H160 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H25 zenon_Hfa zenon_Ha5 zenon_Ha0 zenon_H93 zenon_H68 zenon_He0 zenon_H1b7.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.68/21.88 apply (zenon_L828_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.68/21.88 apply (zenon_L90_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.68/21.88 apply (zenon_L158_); trivial.
% 21.68/21.88 apply (zenon_L556_); trivial.
% 21.68/21.88 (* end of lemma zenon_L829_ *)
% 21.68/21.88 assert (zenon_L830_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H141 zenon_H131 zenon_H4d zenon_H10d zenon_H13f zenon_H54 zenon_Hb6 zenon_H117 zenon_H1cd zenon_Hbb zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H104 zenon_H19a zenon_H195 zenon_H163 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H25 zenon_Hfa zenon_Ha5 zenon_Ha0 zenon_H179 zenon_H164 zenon_H68 zenon_H93.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.68/21.88 apply (zenon_L825_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.68/21.88 apply (zenon_L826_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.88 apply (zenon_L297_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.88 apply (zenon_L829_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.88 apply (zenon_L257_); trivial.
% 21.68/21.88 apply (zenon_L560_); trivial.
% 21.68/21.88 apply (zenon_L158_); trivial.
% 21.68/21.88 (* end of lemma zenon_L830_ *)
% 21.68/21.88 assert (zenon_L831_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_He4 zenon_Hb6 zenon_Hdb zenon_H156 zenon_H4d zenon_H55 zenon_H54 zenon_H212 zenon_H25 zenon_H179 zenon_H7d zenon_H160 zenon_Hbb zenon_Hbc.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.68/21.88 apply (zenon_L55_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.68/21.88 apply (zenon_L486_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.68/21.88 apply (zenon_L15_); trivial.
% 21.68/21.88 apply (zenon_L658_); trivial.
% 21.68/21.88 (* end of lemma zenon_L831_ *)
% 21.68/21.88 assert (zenon_L832_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H117 zenon_Ha0 zenon_H2d zenon_Hb6 zenon_H53 zenon_H104 zenon_Hbb zenon_H9e zenon_H196.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.68/21.88 apply (zenon_L67_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.68/21.88 apply (zenon_L113_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.68/21.88 apply (zenon_L129_); trivial.
% 21.68/21.88 apply (zenon_L154_); trivial.
% 21.68/21.88 (* end of lemma zenon_L832_ *)
% 21.68/21.88 assert (zenon_L833_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H13f zenon_H48 zenon_H196 zenon_H9e zenon_Hbb zenon_H104 zenon_Hb6 zenon_H2d zenon_Ha0 zenon_H117 zenon_H4d zenon_H131 zenon_H77 zenon_H93.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.68/21.88 apply (zenon_L217_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.68/21.88 apply (zenon_L832_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.68/21.88 apply (zenon_L128_); trivial.
% 21.68/21.88 apply (zenon_L218_); trivial.
% 21.68/21.88 (* end of lemma zenon_L833_ *)
% 21.68/21.88 assert (zenon_L834_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H13f zenon_Hb6 zenon_Ha8 zenon_Hdd zenon_H48 zenon_H4d zenon_H131 zenon_H77 zenon_H93.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.68/21.88 apply (zenon_L151_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.68/21.88 apply (zenon_L111_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.68/21.88 apply (zenon_L128_); trivial.
% 21.68/21.88 apply (zenon_L218_); trivial.
% 21.68/21.88 (* end of lemma zenon_L834_ *)
% 21.68/21.88 assert (zenon_L835_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H117 zenon_H93 zenon_H77 zenon_H131 zenon_H4d zenon_H48 zenon_Hb6 zenon_H13f zenon_Ha0 zenon_Hdd zenon_Hc4 zenon_H104 zenon_H1c7 zenon_H9f zenon_H33 zenon_H121 zenon_H9e zenon_H196.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.68/21.88 apply (zenon_L834_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.68/21.88 apply (zenon_L152_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.68/21.88 apply (zenon_L819_); trivial.
% 21.68/21.88 apply (zenon_L154_); trivial.
% 21.68/21.88 (* end of lemma zenon_L835_ *)
% 21.68/21.88 assert (zenon_L836_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H18d zenon_Hc4 zenon_H181 zenon_H1b4 zenon_H24e zenon_H1b7 zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H160 zenon_Hbb zenon_H1cd zenon_H1bb zenon_H136 zenon_H48 zenon_H93 zenon_H77 zenon_Hef zenon_He0.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.68/21.88 apply (zenon_L816_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.68/21.88 apply (zenon_L157_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.68/21.88 apply (zenon_L218_); trivial.
% 21.68/21.88 apply (zenon_L662_); trivial.
% 21.68/21.88 (* end of lemma zenon_L836_ *)
% 21.68/21.88 assert (zenon_L837_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.68/21.88 do 0 intro. intros zenon_H19a zenon_H195 zenon_H163 zenon_H129 zenon_H20f zenon_H25 zenon_Hfa zenon_Hef zenon_H77 zenon_H48 zenon_H1bb zenon_H1cd zenon_Hbb zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4 zenon_H18d zenon_H93 zenon_H68 zenon_He0 zenon_H1b7.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.68/21.88 apply (zenon_L828_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.68/21.88 apply (zenon_L836_); trivial.
% 21.68/21.88 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.68/21.88 apply (zenon_L158_); trivial.
% 21.68/21.88 apply (zenon_L556_); trivial.
% 21.68/21.88 (* end of lemma zenon_L837_ *)
% 21.68/21.88 assert (zenon_L838_ : ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H7e zenon_H67 zenon_H177 zenon_H31 zenon_H19a zenon_H129 zenon_H20f zenon_H25 zenon_Hfa zenon_H77 zenon_H48 zenon_H1bb zenon_H1cd zenon_Hbb zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4 zenon_H18d zenon_H68 zenon_H1b7 zenon_H179 zenon_H164 zenon_H160 zenon_H163 zenon_H93 zenon_H195.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.89 apply (zenon_L171_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.89 apply (zenon_L297_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.89 apply (zenon_L837_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.89 apply (zenon_L406_); trivial.
% 21.68/21.89 apply (zenon_L547_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.89 apply (zenon_L227_); trivial.
% 21.68/21.89 apply (zenon_L228_); trivial.
% 21.68/21.89 (* end of lemma zenon_L838_ *)
% 21.68/21.89 assert (zenon_L839_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H139 zenon_H195 zenon_H163 zenon_H164 zenon_H179 zenon_H1b7 zenon_H68 zenon_H18d zenon_Hc4 zenon_H181 zenon_H1b4 zenon_H24e zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_Hbb zenon_H1cd zenon_H1bb zenon_H48 zenon_Hfa zenon_H25 zenon_H20f zenon_H129 zenon_H19a zenon_H31 zenon_H7e zenon_H77 zenon_H3d zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.89 apply (zenon_L838_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.89 apply (zenon_L214_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.89 apply (zenon_L122_); trivial.
% 21.68/21.89 apply (zenon_L167_); trivial.
% 21.68/21.89 (* end of lemma zenon_L839_ *)
% 21.68/21.89 assert (zenon_L840_ : (((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 (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H13f zenon_H48 zenon_H2d zenon_H7f zenon_H1f1 zenon_H4d zenon_H131 zenon_H77 zenon_H93.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.68/21.89 apply (zenon_L217_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.68/21.89 apply (zenon_L284_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.68/21.89 apply (zenon_L128_); trivial.
% 21.68/21.89 apply (zenon_L218_); trivial.
% 21.68/21.89 (* end of lemma zenon_L840_ *)
% 21.68/21.89 assert (zenon_L841_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((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)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.68/21.89 do 0 intro. intros zenon_He4 zenon_H6e zenon_H156 zenon_H196 zenon_H9e zenon_Hbb zenon_H104 zenon_Hb6 zenon_Ha0 zenon_H117 zenon_H13f zenon_H48 zenon_H2d zenon_H1f1 zenon_H4d zenon_H131 zenon_H77 zenon_H93.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.68/21.89 apply (zenon_L214_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.68/21.89 apply (zenon_L486_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.68/21.89 apply (zenon_L832_); trivial.
% 21.68/21.89 apply (zenon_L840_); trivial.
% 21.68/21.89 (* end of lemma zenon_L841_ *)
% 21.68/21.89 assert (zenon_L842_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((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)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H13a zenon_H47 zenon_Ha9 zenon_H31 zenon_He4 zenon_H6e zenon_H156 zenon_H196 zenon_Hbb zenon_H104 zenon_Hb6 zenon_Ha0 zenon_H117 zenon_H13f zenon_H48 zenon_H2d zenon_H1f1 zenon_H4d zenon_H131 zenon_H77 zenon_H93.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.89 apply (zenon_L253_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.89 apply (zenon_L110_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.89 apply (zenon_L68_); trivial.
% 21.68/21.89 apply (zenon_L841_); trivial.
% 21.68/21.89 (* end of lemma zenon_L842_ *)
% 21.68/21.89 assert (zenon_L843_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H139 zenon_H77 zenon_H131 zenon_H4d zenon_H1f1 zenon_H2d zenon_H48 zenon_H13f zenon_H117 zenon_Ha0 zenon_Hb6 zenon_H104 zenon_Hbb zenon_H156 zenon_He4 zenon_H31 zenon_Ha9 zenon_H47 zenon_H13a zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.89 apply (zenon_L251_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.89 apply (zenon_L842_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.89 apply (zenon_L122_); trivial.
% 21.68/21.89 apply (zenon_L167_); trivial.
% 21.68/21.89 (* end of lemma zenon_L843_ *)
% 21.68/21.89 assert (zenon_L844_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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)) = (op (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 (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H13f zenon_Hc4 zenon_H24e zenon_H1b7 zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H160 zenon_H1cd zenon_H10c zenon_H11a zenon_H121 zenon_H177 zenon_H31 zenon_H18d zenon_H181 zenon_H1b4 zenon_Hbb zenon_H1bb zenon_H68 zenon_H48 zenon_H26d zenon_H19a zenon_Hb6 zenon_Hef zenon_H12e zenon_H3d zenon_H192 zenon_H25e zenon_H195 zenon_H20f zenon_Hf5 zenon_H25b zenon_H9f zenon_H196 zenon_H164 zenon_H33 zenon_H1c7 zenon_H104 zenon_H2d zenon_Ha0 zenon_H117 zenon_H4d zenon_H131 zenon_H77 zenon_H93.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.68/21.89 apply (zenon_L217_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.68/21.89 apply (zenon_L67_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.68/21.89 apply (zenon_L113_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.68/21.89 apply (zenon_L819_); trivial.
% 21.68/21.89 apply (zenon_L823_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.68/21.89 apply (zenon_L128_); trivial.
% 21.68/21.89 apply (zenon_L218_); trivial.
% 21.68/21.89 (* end of lemma zenon_L844_ *)
% 21.68/21.89 assert (zenon_L845_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H1c6 zenon_H117 zenon_Ha0 zenon_H104 zenon_H33 zenon_H164 zenon_H196 zenon_H9f zenon_H25b zenon_Hf5 zenon_H20f zenon_H195 zenon_H25e zenon_H192 zenon_H3d zenon_H12e zenon_Hef zenon_H19a zenon_H26d zenon_H68 zenon_H1bb zenon_Hbb zenon_H1b4 zenon_H181 zenon_H18d zenon_H31 zenon_H177 zenon_H121 zenon_H11a zenon_H1cd zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_Hc4 zenon_H93 zenon_H77 zenon_H131 zenon_H4d zenon_Hb6 zenon_H2d zenon_H48 zenon_H13f zenon_H1c7.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.68/21.89 apply (zenon_L55_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.68/21.89 apply (zenon_L844_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.68/21.89 apply (zenon_L825_); trivial.
% 21.68/21.89 exact (zenon_H1c7 zenon_Hac).
% 21.68/21.89 (* end of lemma zenon_L845_ *)
% 21.68/21.89 assert (zenon_L846_ : ((op (e3) (e3)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H11f zenon_H106 zenon_H1cb.
% 21.68/21.89 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.68/21.89 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e2)) = (op (e3) (e3)))).
% 21.68/21.89 intro zenon_D_pnotp.
% 21.68/21.89 apply zenon_H1cb.
% 21.68/21.89 rewrite <- zenon_D_pnotp.
% 21.68/21.89 exact zenon_H12a.
% 21.68/21.89 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.68/21.89 cut (((op (e3) (e3)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1cc].
% 21.68/21.89 congruence.
% 21.68/21.89 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e3) (e2)))).
% 21.68/21.89 intro zenon_D_pnotp.
% 21.68/21.89 apply zenon_H1cc.
% 21.68/21.89 rewrite <- zenon_D_pnotp.
% 21.68/21.89 exact zenon_H11f.
% 21.68/21.89 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 21.68/21.89 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.68/21.89 congruence.
% 21.68/21.89 apply zenon_H12b. apply refl_equal.
% 21.68/21.89 apply zenon_H107. apply sym_equal. exact zenon_H106.
% 21.68/21.89 apply zenon_H12b. apply refl_equal.
% 21.68/21.89 apply zenon_H12b. apply refl_equal.
% 21.68/21.89 (* end of lemma zenon_L846_ *)
% 21.68/21.89 assert (zenon_L847_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H1bb zenon_H18a zenon_H34 zenon_H106 zenon_H1cb zenon_H160 zenon_Hc4.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.68/21.89 apply (zenon_L416_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.68/21.89 apply (zenon_L846_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.68/21.89 apply (zenon_L236_); trivial.
% 21.68/21.89 exact (zenon_Hc4 zenon_Hc3).
% 21.68/21.89 (* end of lemma zenon_L847_ *)
% 21.68/21.89 assert (zenon_L848_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H11f zenon_H1cd zenon_H160 zenon_H1c7.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_He0 | zenon_intro zenon_H24f ].
% 21.68/21.89 apply (zenon_L802_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H7f | zenon_intro zenon_H250 ].
% 21.68/21.89 apply (zenon_L780_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H171 | zenon_intro zenon_Hac ].
% 21.68/21.89 apply (zenon_L240_); trivial.
% 21.68/21.89 exact (zenon_H1c7 zenon_Hac).
% 21.68/21.89 (* end of lemma zenon_L848_ *)
% 21.68/21.89 assert (zenon_L849_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H12e zenon_H48 zenon_H53 zenon_H1f1 zenon_Hc4 zenon_H1cb zenon_H18a zenon_H1bb zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H160 zenon_H1c7.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.68/21.89 apply (zenon_L456_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.68/21.89 apply (zenon_L284_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.68/21.89 apply (zenon_L847_); trivial.
% 21.68/21.89 apply (zenon_L848_); trivial.
% 21.68/21.89 (* end of lemma zenon_L849_ *)
% 21.68/21.89 assert (zenon_L850_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H139 zenon_H77 zenon_H155 zenon_Hb6 zenon_Hbb zenon_Ha9 zenon_H47 zenon_H13a zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.89 apply (zenon_L251_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.89 apply (zenon_L253_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.89 apply (zenon_L110_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.89 apply (zenon_L178_); trivial.
% 21.68/21.89 apply (zenon_L115_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.89 apply (zenon_L122_); trivial.
% 21.68/21.89 apply (zenon_L167_); trivial.
% 21.68/21.89 (* end of lemma zenon_L850_ *)
% 21.68/21.89 assert (zenon_L851_ : (((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) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H19a zenon_Ha0 zenon_H9e zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H34 zenon_H18a.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.68/21.89 apply (zenon_L156_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.68/21.89 apply (zenon_L157_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.68/21.89 apply (zenon_L158_); trivial.
% 21.68/21.89 apply (zenon_L416_); trivial.
% 21.68/21.89 (* end of lemma zenon_L851_ *)
% 21.68/21.89 assert (zenon_L852_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H18d zenon_H196 zenon_H177 zenon_H160 zenon_H13a zenon_H47 zenon_Ha9 zenon_Hbb zenon_Hb6 zenon_H139 zenon_H18a zenon_H34 zenon_H68 zenon_H48 zenon_H9e zenon_Ha0 zenon_H19a zenon_H93 zenon_H77 zenon_H7f zenon_H1b7.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.68/21.89 apply (zenon_L850_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.68/21.89 apply (zenon_L851_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.68/21.89 apply (zenon_L218_); trivial.
% 21.68/21.89 apply (zenon_L780_); trivial.
% 21.68/21.89 (* end of lemma zenon_L852_ *)
% 21.68/21.89 assert (zenon_L853_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H12e zenon_H48 zenon_H3d zenon_H192 zenon_H4d zenon_H163 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H160 zenon_H1c7.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.68/21.89 apply (zenon_L456_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.68/21.89 apply (zenon_L146_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.68/21.89 apply (zenon_L285_); trivial.
% 21.68/21.89 apply (zenon_L848_); trivial.
% 21.68/21.89 (* end of lemma zenon_L853_ *)
% 21.68/21.89 assert (zenon_L854_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H15d zenon_H196 zenon_H93 zenon_H177 zenon_He4 zenon_H156 zenon_H1cb zenon_H1f1 zenon_H18d zenon_H13a zenon_Ha9 zenon_Hb6 zenon_H139 zenon_H68 zenon_Ha0 zenon_H19a zenon_H77 zenon_H1c7 zenon_H34 zenon_H163 zenon_H192 zenon_H48 zenon_H12e zenon_H73 zenon_H4d zenon_H1bb zenon_H1cd zenon_Hbb zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.89 apply (zenon_L251_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.89 apply (zenon_L253_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.89 apply (zenon_L110_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.89 apply (zenon_L178_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.68/21.89 apply (zenon_L214_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.68/21.89 apply (zenon_L486_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.68/21.89 apply (zenon_L849_); trivial.
% 21.68/21.89 apply (zenon_L852_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.89 apply (zenon_L122_); trivial.
% 21.68/21.89 apply (zenon_L167_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.89 apply (zenon_L853_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.89 apply (zenon_L184_); trivial.
% 21.68/21.89 apply (zenon_L816_); trivial.
% 21.68/21.89 (* end of lemma zenon_L854_ *)
% 21.68/21.89 assert (zenon_L855_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (((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)) = (op (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)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((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)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H1fe zenon_H82 zenon_H13c zenon_Hf0 zenon_H141 zenon_Hb2 zenon_H55 zenon_H179 zenon_Hfa zenon_H129 zenon_H125 zenon_H94 zenon_H11a zenon_H121 zenon_H26d zenon_Hef zenon_H25e zenon_H195 zenon_H20f zenon_Hf5 zenon_H25b zenon_H164 zenon_H33 zenon_H1c6 zenon_H31 zenon_H13f zenon_H104 zenon_H117 zenon_H131 zenon_H15d zenon_H196 zenon_H93 zenon_H177 zenon_He4 zenon_H156 zenon_H1cb zenon_H1f1 zenon_H18d zenon_H13a zenon_Ha9 zenon_Hb6 zenon_H139 zenon_H68 zenon_Ha0 zenon_H19a zenon_H77 zenon_H1c7 zenon_H163 zenon_H192 zenon_H48 zenon_H12e zenon_H73 zenon_H4d zenon_H1bb zenon_H1cd zenon_Hbb zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.68/21.89 apply (zenon_L817_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.89 apply (zenon_L541_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.89 apply (zenon_L818_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.89 apply (zenon_L25_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.68/21.89 apply (zenon_L116_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.68/21.89 apply (zenon_L824_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.68/21.89 apply (zenon_L124_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.68/21.89 apply (zenon_L55_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.68/21.89 apply (zenon_L824_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.68/21.89 apply (zenon_L830_); trivial.
% 21.68/21.89 exact (zenon_H1c7 zenon_Hac).
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.89 apply (zenon_L831_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.89 apply (zenon_L178_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.68/21.89 apply (zenon_L116_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.68/21.89 apply (zenon_L833_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.68/21.89 apply (zenon_L835_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.68/21.89 apply (zenon_L581_); trivial.
% 21.68/21.89 apply (zenon_L158_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.68/21.89 apply (zenon_L124_); trivial.
% 21.68/21.89 apply (zenon_L262_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.68/21.89 apply (zenon_L116_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.68/21.89 apply (zenon_L151_); trivial.
% 21.68/21.89 exact (zenon_H209 zenon_H9d).
% 21.68/21.89 apply (zenon_L839_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.89 apply (zenon_L239_); trivial.
% 21.68/21.89 apply (zenon_L816_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.89 apply (zenon_L843_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.89 apply (zenon_L845_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.89 apply (zenon_L55_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.89 apply (zenon_L68_); trivial.
% 21.68/21.89 apply (zenon_L833_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.89 apply (zenon_L184_); trivial.
% 21.68/21.89 apply (zenon_L816_); trivial.
% 21.68/21.89 apply (zenon_L854_); trivial.
% 21.68/21.89 (* end of lemma zenon_L855_ *)
% 21.68/21.89 assert (zenon_L856_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_He4 zenon_H77 zenon_H6e zenon_H156 zenon_H4d zenon_H55 zenon_H54 zenon_H1bb zenon_H209 zenon_H160 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H120 zenon_H129 zenon_H93 zenon_Hc4.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.68/21.89 apply (zenon_L214_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.68/21.89 apply (zenon_L486_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.68/21.89 apply (zenon_L15_); trivial.
% 21.68/21.89 apply (zenon_L527_); trivial.
% 21.68/21.89 (* end of lemma zenon_L856_ *)
% 21.68/21.89 assert (zenon_L857_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H139 zenon_H68 zenon_H1e zenon_Hc4 zenon_H129 zenon_H120 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1bb zenon_H54 zenon_H55 zenon_H4d zenon_H156 zenon_H77 zenon_He4 zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.89 apply (zenon_L20_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.89 apply (zenon_L856_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.89 apply (zenon_L122_); trivial.
% 21.68/21.89 apply (zenon_L167_); trivial.
% 21.68/21.89 (* end of lemma zenon_L857_ *)
% 21.68/21.89 assert (zenon_L858_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H141 zenon_H1e zenon_H2c zenon_H53 zenon_H48 zenon_H110 zenon_Ha0 zenon_H68 zenon_H93.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.68/21.89 apply (zenon_L5_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.68/21.89 apply (zenon_L111_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.68/21.89 apply (zenon_L278_); trivial.
% 21.68/21.89 apply (zenon_L158_); trivial.
% 21.68/21.89 (* end of lemma zenon_L858_ *)
% 21.68/21.89 assert (zenon_L859_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H82 zenon_H4e zenon_H55 zenon_H120 zenon_H129 zenon_H7d zenon_H1a2 zenon_Hb6 zenon_H4d zenon_Ha0 zenon_H2c zenon_H141 zenon_H15d zenon_H177 zenon_H77 zenon_H1e zenon_H139 zenon_H48 zenon_H1bb zenon_H1cd zenon_H160 zenon_H212 zenon_H18a zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4 zenon_H156 zenon_He4 zenon_H68 zenon_H31 zenon_H93 zenon_H196.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.89 apply (zenon_L13_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.89 apply (zenon_L14_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.89 apply (zenon_L857_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.89 apply (zenon_L20_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.89 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.68/21.89 apply (zenon_L214_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.68/21.89 apply (zenon_L486_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.68/21.89 apply (zenon_L68_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.68/21.89 apply (zenon_L124_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.68/21.89 apply (zenon_L858_); trivial.
% 21.68/21.89 apply (zenon_L817_); trivial.
% 21.68/21.89 apply (zenon_L31_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.89 apply (zenon_L264_); trivial.
% 21.68/21.89 apply (zenon_L167_); trivial.
% 21.68/21.89 (* end of lemma zenon_L859_ *)
% 21.68/21.89 assert (zenon_L860_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H19a zenon_H77 zenon_H93 zenon_H1b4 zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H181 zenon_H120 zenon_H1bb zenon_Ha0 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H10c zenon_Hb9 zenon_H195.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.68/21.89 apply (zenon_L555_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.68/21.89 apply (zenon_L422_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.68/21.89 apply (zenon_L77_); trivial.
% 21.68/21.89 apply (zenon_L684_); trivial.
% 21.68/21.89 (* end of lemma zenon_L860_ *)
% 21.68/21.89 assert (zenon_L861_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H117 zenon_H131 zenon_Hb6 zenon_H13f zenon_Hdd zenon_H104 zenon_Hbb zenon_H19a zenon_H77 zenon_H93 zenon_H1b4 zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H181 zenon_H120 zenon_H1bb zenon_Ha0 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H10c zenon_H195.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.68/21.89 apply (zenon_L834_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.68/21.89 apply (zenon_L152_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.68/21.89 apply (zenon_L129_); trivial.
% 21.68/21.89 apply (zenon_L860_); trivial.
% 21.68/21.89 (* end of lemma zenon_L861_ *)
% 21.68/21.89 assert (zenon_L862_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (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) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H164 zenon_H179 zenon_H1b7 zenon_H68 zenon_H93 zenon_Ha0 zenon_Ha5 zenon_Hfa zenon_H25 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H163 zenon_H195 zenon_H19a zenon_H31 zenon_H177 zenon_H12e zenon_H67 zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H160 zenon_H77 zenon_H120.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.89 apply (zenon_L297_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.89 apply (zenon_L829_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.89 apply (zenon_L406_); trivial.
% 21.68/21.89 apply (zenon_L558_); trivial.
% 21.68/21.89 (* end of lemma zenon_L862_ *)
% 21.68/21.89 assert (zenon_L863_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H19a zenon_He0 zenon_Hef zenon_H77 zenon_H1b4 zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H181 zenon_H120 zenon_H20f zenon_H1bb zenon_H93 zenon_H68 zenon_H67 zenon_H7e.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.68/21.89 apply (zenon_L827_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.68/21.89 apply (zenon_L422_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.68/21.89 apply (zenon_L158_); trivial.
% 21.68/21.89 apply (zenon_L547_); trivial.
% 21.68/21.89 (* end of lemma zenon_L863_ *)
% 21.68/21.89 assert (zenon_L864_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H164 zenon_H68 zenon_H93 zenon_H1bb zenon_H20f zenon_H120 zenon_H181 zenon_Hc4 zenon_H18d zenon_H48 zenon_H129 zenon_H1b4 zenon_H77 zenon_Hef zenon_H19a zenon_H31 zenon_H177 zenon_H67 zenon_H7e.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.89 apply (zenon_L456_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.89 apply (zenon_L863_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.89 apply (zenon_L406_); trivial.
% 21.68/21.89 apply (zenon_L547_); trivial.
% 21.68/21.89 (* end of lemma zenon_L864_ *)
% 21.68/21.89 assert (zenon_L865_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H1a8 zenon_H3d zenon_H7e zenon_H67 zenon_H177 zenon_H31 zenon_H19a zenon_H77 zenon_H1b4 zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H181 zenon_H120 zenon_H20f zenon_H1bb zenon_H68 zenon_H164 zenon_H189 zenon_H93 zenon_H160 zenon_H1cd.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.68/21.89 apply (zenon_L214_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.68/21.89 apply (zenon_L864_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.68/21.89 apply (zenon_L439_); trivial.
% 21.68/21.89 apply (zenon_L240_); trivial.
% 21.68/21.89 (* end of lemma zenon_L865_ *)
% 21.68/21.89 assert (zenon_L866_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H139 zenon_H1cd zenon_H160 zenon_H189 zenon_H164 zenon_H1bb zenon_H20f zenon_H120 zenon_H181 zenon_Hc4 zenon_H18d zenon_H48 zenon_H129 zenon_H1b4 zenon_H19a zenon_H177 zenon_H7e zenon_H1a8 zenon_H77 zenon_H3d zenon_H68 zenon_H31 zenon_H93 zenon_H196.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.89 apply (zenon_L865_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.89 apply (zenon_L214_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.89 apply (zenon_L264_); trivial.
% 21.68/21.89 apply (zenon_L167_); trivial.
% 21.68/21.89 (* end of lemma zenon_L866_ *)
% 21.68/21.89 assert (zenon_L867_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.68/21.89 do 0 intro. intros zenon_H164 zenon_H7e zenon_H68 zenon_H93 zenon_H1bb zenon_H20f zenon_H120 zenon_H181 zenon_Hc4 zenon_H18d zenon_H48 zenon_H129 zenon_H1b4 zenon_H77 zenon_H19a zenon_H31 zenon_H177 zenon_H24e zenon_H1b7 zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H160 zenon_Hbb zenon_H1cd.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.89 apply (zenon_L456_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.89 apply (zenon_L557_); trivial.
% 21.68/21.89 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.89 apply (zenon_L406_); trivial.
% 21.68/21.89 apply (zenon_L560_); trivial.
% 21.68/21.89 (* end of lemma zenon_L867_ *)
% 21.68/21.89 assert (zenon_L868_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H1fe zenon_H2c zenon_H1a2 zenon_H55 zenon_H13c zenon_H121 zenon_H11a zenon_H25b zenon_H186 zenon_H141 zenon_H179 zenon_Hfa zenon_H163 zenon_H195 zenon_H189 zenon_H1a8 zenon_H125 zenon_H94 zenon_H181 zenon_H1b4 zenon_H24e zenon_H1b7 zenon_Hbb zenon_H1cd zenon_H4d zenon_H73 zenon_H82 zenon_H196 zenon_H139 zenon_H4e zenon_H164 zenon_H68 zenon_H20f zenon_H18d zenon_H19a zenon_H31 zenon_H177 zenon_H131 zenon_H1f1 zenon_H13f zenon_H117 zenon_Ha0 zenon_Hb6 zenon_H104 zenon_H156 zenon_He4 zenon_Ha9 zenon_H13a zenon_H15d zenon_H12e zenon_H48 zenon_Hc4 zenon_H93 zenon_H129 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1bb zenon_H160 zenon_H77 zenon_H120.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.68/21.90 apply (zenon_L859_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.90 apply (zenon_L541_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.90 apply (zenon_L818_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.90 apply (zenon_L25_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.68/21.90 apply (zenon_L116_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.68/21.90 apply (zenon_L217_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.68/21.90 apply (zenon_L861_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.68/21.90 apply (zenon_L562_); trivial.
% 21.68/21.90 apply (zenon_L415_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.68/21.90 apply (zenon_L124_); trivial.
% 21.68/21.90 apply (zenon_L862_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.90 apply (zenon_L856_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.90 apply (zenon_L264_); trivial.
% 21.68/21.90 apply (zenon_L167_); trivial.
% 21.68/21.90 apply (zenon_L866_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.90 apply (zenon_L239_); trivial.
% 21.68/21.90 apply (zenon_L816_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.90 apply (zenon_L843_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.90 apply (zenon_L818_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.90 apply (zenon_L14_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.90 apply (zenon_L217_); trivial.
% 21.68/21.90 apply (zenon_L867_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.90 apply (zenon_L184_); trivial.
% 21.68/21.90 apply (zenon_L816_); trivial.
% 21.68/21.90 apply (zenon_L528_); trivial.
% 21.68/21.90 (* end of lemma zenon_L868_ *)
% 21.68/21.90 assert (zenon_L869_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (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 (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 21.68/21.90 do 0 intro. intros zenon_Hcb zenon_H1fe zenon_Ha9 zenon_H1f1 zenon_H13a zenon_H73 zenon_H125 zenon_H94 zenon_H1a8 zenon_H189 zenon_H13c zenon_H179 zenon_H163 zenon_Hfa zenon_H117 zenon_H18d zenon_H20f zenon_H25b zenon_H195 zenon_H186 zenon_H19a zenon_H104 zenon_H131 zenon_H13f zenon_H164 zenon_H11a zenon_H121 zenon_H12e zenon_H48 zenon_H4e zenon_H4d zenon_H139 zenon_H196 zenon_H177 zenon_H77 zenon_H156 zenon_H55 zenon_H1bb zenon_H93 zenon_H129 zenon_H120 zenon_H18a zenon_H7d zenon_Hbc zenon_H160 zenon_H209 zenon_H212 zenon_He4 zenon_H68 zenon_H1a2 zenon_H1b4 zenon_H1b7 zenon_H1cd zenon_H24e zenon_H15d zenon_H2c zenon_H141 zenon_Hb6 zenon_H31 zenon_Ha0 zenon_H82 zenon_Hc2 zenon_Hbb.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.68/21.90 exact (zenon_H1a3 zenon_Hbb).
% 21.68/21.90 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.68/21.90 apply (zenon_L868_); trivial.
% 21.68/21.90 apply (zenon_L868_); trivial.
% 21.68/21.90 (* end of lemma zenon_L869_ *)
% 21.68/21.90 assert (zenon_L870_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H1bb zenon_H162 zenon_H1c7 zenon_H160 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H181 zenon_Hc4.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.68/21.90 exact (zenon_H162 zenon_H167).
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.68/21.90 apply (zenon_L848_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.68/21.90 exact (zenon_H181 zenon_H17c).
% 21.68/21.90 exact (zenon_Hc4 zenon_Hc3).
% 21.68/21.90 (* end of lemma zenon_L870_ *)
% 21.68/21.90 assert (zenon_L871_ : (((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)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H13a zenon_H33 zenon_H9d zenon_Ha9 zenon_H6e zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H155.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.90 apply (zenon_L245_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.90 apply (zenon_L110_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.90 apply (zenon_L68_); trivial.
% 21.68/21.90 apply (zenon_L115_); trivial.
% 21.68/21.90 (* end of lemma zenon_L871_ *)
% 21.68/21.90 assert (zenon_L872_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H212 zenon_He0 zenon_H7f zenon_H7d zenon_Hbc zenon_H160 zenon_H13a zenon_H33 zenon_Ha9 zenon_H6e zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H155.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H34 | zenon_intro zenon_H213 ].
% 21.68/21.90 apply (zenon_L802_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H7e | zenon_intro zenon_H214 ].
% 21.68/21.90 apply (zenon_L31_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H102 | zenon_intro zenon_H9d ].
% 21.68/21.90 apply (zenon_L104_); trivial.
% 21.68/21.90 apply (zenon_L871_); trivial.
% 21.68/21.90 (* end of lemma zenon_L872_ *)
% 21.68/21.90 assert (zenon_L873_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H212 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H18a zenon_H11f zenon_H160 zenon_Hbb zenon_Hbc.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H34 | zenon_intro zenon_H213 ].
% 21.68/21.90 apply (zenon_L848_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H7e | zenon_intro zenon_H214 ].
% 21.68/21.90 apply (zenon_L140_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H102 | zenon_intro zenon_H9d ].
% 21.68/21.90 apply (zenon_L104_); trivial.
% 21.68/21.90 apply (zenon_L48_); trivial.
% 21.68/21.90 (* end of lemma zenon_L873_ *)
% 21.68/21.90 assert (zenon_L874_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H18d zenon_Hb6 zenon_H31 zenon_Ha0 zenon_H6e zenon_Ha9 zenon_H33 zenon_H13a zenon_H7f zenon_He0 zenon_H136 zenon_H48 zenon_H93 zenon_H77 zenon_H212 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H18a zenon_H160 zenon_Hbb zenon_Hbc.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.68/21.90 apply (zenon_L872_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.68/21.90 apply (zenon_L157_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.68/21.90 apply (zenon_L218_); trivial.
% 21.68/21.90 apply (zenon_L873_); trivial.
% 21.68/21.90 (* end of lemma zenon_L874_ *)
% 21.68/21.90 assert (zenon_L875_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H12e zenon_Hc4 zenon_H181 zenon_H162 zenon_H1bb zenon_H77 zenon_H93 zenon_H48 zenon_H136 zenon_He0 zenon_H13a zenon_H33 zenon_Ha9 zenon_H6e zenon_Ha0 zenon_H31 zenon_H18d zenon_Hb6 zenon_H212 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H18a zenon_H160 zenon_Hbb zenon_Hbc.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.68/21.90 apply (zenon_L211_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.68/21.90 apply (zenon_L874_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.68/21.90 apply (zenon_L363_); trivial.
% 21.68/21.90 apply (zenon_L873_); trivial.
% 21.68/21.90 (* end of lemma zenon_L875_ *)
% 21.68/21.90 assert (zenon_L876_ : (((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)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (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)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (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)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H164 zenon_Hbc zenon_Hbb zenon_H160 zenon_H18a zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H212 zenon_Hb6 zenon_H18d zenon_Ha0 zenon_H6e zenon_Ha9 zenon_H33 zenon_H13a zenon_H136 zenon_H48 zenon_H93 zenon_H77 zenon_H1bb zenon_H181 zenon_Hc4 zenon_H12e zenon_H31 zenon_H177 zenon_H162.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.90 apply (zenon_L870_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.90 apply (zenon_L875_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.90 apply (zenon_L406_); trivial.
% 21.68/21.90 exact (zenon_H162 zenon_H167).
% 21.68/21.90 (* end of lemma zenon_L876_ *)
% 21.68/21.90 assert (zenon_L877_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (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)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (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)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H139 zenon_H1e zenon_H162 zenon_H68 zenon_H164 zenon_Hbc zenon_Hbb zenon_H18a zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H212 zenon_Hb6 zenon_H18d zenon_Ha0 zenon_Ha9 zenon_H33 zenon_H13a zenon_H48 zenon_H77 zenon_H1bb zenon_H181 zenon_Hc4 zenon_H12e zenon_H31 zenon_H26d zenon_H19a zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.90 apply (zenon_L20_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.68/21.90 apply (zenon_L756_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.68/21.90 apply (zenon_L876_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.68/21.90 apply (zenon_L158_); trivial.
% 21.68/21.90 exact (zenon_H162 zenon_H167).
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.90 apply (zenon_L122_); trivial.
% 21.68/21.90 apply (zenon_L167_); trivial.
% 21.68/21.90 (* end of lemma zenon_L877_ *)
% 21.68/21.90 assert (zenon_L878_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H12e zenon_Hc4 zenon_H181 zenon_H18a zenon_H162 zenon_H1bb zenon_H3d zenon_H192 zenon_H4d zenon_H163 zenon_Hef zenon_He0.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.68/21.90 apply (zenon_L211_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.68/21.90 apply (zenon_L146_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.68/21.90 apply (zenon_L285_); trivial.
% 21.68/21.90 apply (zenon_L662_); trivial.
% 21.68/21.90 (* end of lemma zenon_L878_ *)
% 21.68/21.90 assert (zenon_L879_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_Hfa zenon_H68 zenon_H25 zenon_He0 zenon_H163 zenon_H192 zenon_H3d zenon_H1bb zenon_H162 zenon_H18a zenon_H181 zenon_Hc4 zenon_H12e zenon_H77 zenon_H4d zenon_H93 zenon_H195.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.68/21.90 apply (zenon_L171_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.68/21.90 apply (zenon_L878_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.68/21.90 apply (zenon_L59_); trivial.
% 21.68/21.90 apply (zenon_L228_); trivial.
% 21.68/21.90 (* end of lemma zenon_L879_ *)
% 21.68/21.90 assert (zenon_L880_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H164 zenon_H196 zenon_Hb9 zenon_H9f zenon_H1b4 zenon_H25b zenon_Hf5 zenon_H20f zenon_H25e zenon_H160 zenon_H48 zenon_H195 zenon_H93 zenon_H4d zenon_H77 zenon_H12e zenon_Hc4 zenon_H181 zenon_H18a zenon_H1bb zenon_H3d zenon_H192 zenon_H163 zenon_H25 zenon_H68 zenon_Hfa zenon_H31 zenon_H177 zenon_H162.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.90 apply (zenon_L820_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.90 apply (zenon_L879_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.90 apply (zenon_L406_); trivial.
% 21.68/21.90 exact (zenon_H162 zenon_H167).
% 21.68/21.90 (* end of lemma zenon_L880_ *)
% 21.68/21.90 assert (zenon_L881_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H117 zenon_H131 zenon_Hb6 zenon_H13f zenon_Ha0 zenon_Hdd zenon_H104 zenon_H1c7 zenon_H33 zenon_H121 zenon_H164 zenon_H196 zenon_H9f zenon_H1b4 zenon_H25b zenon_Hf5 zenon_H20f zenon_H25e zenon_H160 zenon_H48 zenon_H195 zenon_H93 zenon_H4d zenon_H77 zenon_H12e zenon_Hc4 zenon_H181 zenon_H18a zenon_H1bb zenon_H3d zenon_H192 zenon_H163 zenon_H25 zenon_H68 zenon_Hfa zenon_H31 zenon_H177 zenon_H162.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.68/21.90 apply (zenon_L834_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.68/21.90 apply (zenon_L152_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.68/21.90 apply (zenon_L819_); trivial.
% 21.68/21.90 apply (zenon_L880_); trivial.
% 21.68/21.90 (* end of lemma zenon_L881_ *)
% 21.68/21.90 assert (zenon_L882_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (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 (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H141 zenon_H121 zenon_H33 zenon_H1c7 zenon_H104 zenon_H13f zenon_H131 zenon_H162 zenon_H177 zenon_H31 zenon_Hfa zenon_H25 zenon_H163 zenon_H192 zenon_H3d zenon_H1bb zenon_H18a zenon_H181 zenon_Hc4 zenon_H12e zenon_H77 zenon_H4d zenon_H195 zenon_H48 zenon_H160 zenon_H25e zenon_H20f zenon_Hf5 zenon_H25b zenon_H1b4 zenon_H9f zenon_H196 zenon_H164 zenon_Ha0 zenon_Hf0 zenon_H10c zenon_H54 zenon_Hb6 zenon_H117 zenon_H68 zenon_H93.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.68/21.90 apply (zenon_L217_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.68/21.90 apply (zenon_L881_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.68/21.90 apply (zenon_L151_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.68/21.90 apply (zenon_L74_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.68/21.90 apply (zenon_L278_); trivial.
% 21.68/21.90 apply (zenon_L880_); trivial.
% 21.68/21.90 apply (zenon_L158_); trivial.
% 21.68/21.90 (* end of lemma zenon_L882_ *)
% 21.68/21.90 assert (zenon_L883_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (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) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (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 (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H164 zenon_H1c7 zenon_H1cd zenon_H7d zenon_H24e zenon_H4d zenon_H192 zenon_H3d zenon_H12e zenon_H1b7 zenon_H68 zenon_H93 zenon_Ha0 zenon_Ha5 zenon_Hfa zenon_H25 zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H160 zenon_H163 zenon_H195 zenon_H19a zenon_H14c zenon_H104 zenon_H162.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.90 apply (zenon_L853_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.90 apply (zenon_L829_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.90 apply (zenon_L257_); trivial.
% 21.68/21.90 exact (zenon_H162 zenon_H167).
% 21.68/21.90 (* end of lemma zenon_L883_ *)
% 21.68/21.90 assert (zenon_L884_ : (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H77 zenon_H17c zenon_H11f.
% 21.68/21.90 cut (((op (e3) (e3)) = (e2)) = ((e1) = (e2))).
% 21.68/21.90 intro zenon_D_pnotp.
% 21.68/21.90 apply zenon_H77.
% 21.68/21.90 rewrite <- zenon_D_pnotp.
% 21.68/21.90 exact zenon_H17c.
% 21.68/21.90 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.68/21.90 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H120].
% 21.68/21.90 congruence.
% 21.68/21.90 exact (zenon_H120 zenon_H11f).
% 21.68/21.90 apply zenon_H6a. apply refl_equal.
% 21.68/21.90 (* end of lemma zenon_L884_ *)
% 21.68/21.90 assert (zenon_L885_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H1c3 zenon_H9f zenon_Ha5 zenon_Ha9 zenon_H115 zenon_H68 zenon_H77 zenon_H11f.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.68/21.90 apply (zenon_L673_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.68/21.90 apply (zenon_L299_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.68/21.90 apply (zenon_L158_); trivial.
% 21.68/21.90 apply (zenon_L884_); trivial.
% 21.68/21.90 (* end of lemma zenon_L885_ *)
% 21.68/21.90 assert (zenon_L886_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e0)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H1bb zenon_H162 zenon_H77 zenon_H68 zenon_H115 zenon_Ha9 zenon_Ha5 zenon_H9f zenon_H1c3 zenon_H181 zenon_Hc4.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.68/21.90 exact (zenon_H162 zenon_H167).
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.68/21.90 apply (zenon_L885_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.68/21.90 exact (zenon_H181 zenon_H17c).
% 21.68/21.90 exact (zenon_Hc4 zenon_Hc3).
% 21.68/21.90 (* end of lemma zenon_L886_ *)
% 21.68/21.90 assert (zenon_L887_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (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 (e3) (e3)) = (e0))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H141 zenon_H131 zenon_Hb6 zenon_H13f zenon_H10d zenon_H104 zenon_H19a zenon_H195 zenon_H163 zenon_H160 zenon_H18d zenon_H48 zenon_H129 zenon_H20f zenon_H1b4 zenon_H25 zenon_Hfa zenon_Ha0 zenon_H93 zenon_H1b7 zenon_H12e zenon_H3d zenon_H192 zenon_H4d zenon_H24e zenon_H7d zenon_H1cd zenon_H1c7 zenon_H164 zenon_H1bb zenon_H162 zenon_H77 zenon_H68 zenon_Ha9 zenon_Ha5 zenon_H9f zenon_H1c3 zenon_H181 zenon_Hc4.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.68/21.90 apply (zenon_L825_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.68/21.90 apply (zenon_L152_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.68/21.90 apply (zenon_L883_); trivial.
% 21.68/21.90 apply (zenon_L886_); trivial.
% 21.68/21.90 (* end of lemma zenon_L887_ *)
% 21.68/21.90 assert (zenon_L888_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H139 zenon_H77 zenon_H155 zenon_Hb6 zenon_H31 zenon_Ha0 zenon_Ha9 zenon_H47 zenon_H13a zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.90 apply (zenon_L251_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.90 apply (zenon_L743_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.90 apply (zenon_L122_); trivial.
% 21.68/21.90 apply (zenon_L167_); trivial.
% 21.68/21.90 (* end of lemma zenon_L888_ *)
% 21.68/21.90 assert (zenon_L889_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H13c zenon_H117 zenon_H54 zenon_Hf0 zenon_H164 zenon_H196 zenon_H9f zenon_H1b4 zenon_H25b zenon_Hf5 zenon_H20f zenon_H25e zenon_H160 zenon_H195 zenon_H77 zenon_H12e zenon_Hc4 zenon_H181 zenon_H18a zenon_H1bb zenon_H3d zenon_H192 zenon_H163 zenon_H25 zenon_Hfa zenon_H31 zenon_H177 zenon_H131 zenon_H13f zenon_H104 zenon_H1c7 zenon_H33 zenon_H121 zenon_H141 zenon_Hb6 zenon_H4d zenon_H19a zenon_H48 zenon_H155 zenon_Ha0 zenon_H93 zenon_H68 zenon_H162.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.68/21.90 apply (zenon_L116_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.68/21.90 apply (zenon_L882_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.68/21.90 apply (zenon_L124_); trivial.
% 21.68/21.90 apply (zenon_L247_); trivial.
% 21.68/21.90 (* end of lemma zenon_L889_ *)
% 21.68/21.90 assert (zenon_L890_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H19a zenon_H9e zenon_Hbc zenon_Hbb zenon_H160 zenon_H18a zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H212 zenon_Hb6 zenon_H18d zenon_H31 zenon_Ha0 zenon_H6e zenon_Ha9 zenon_H33 zenon_H13a zenon_He0 zenon_H48 zenon_H77 zenon_H1bb zenon_H181 zenon_Hc4 zenon_H12e zenon_H93 zenon_H68 zenon_H162.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.68/21.90 apply (zenon_L156_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.68/21.90 apply (zenon_L875_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.68/21.90 apply (zenon_L158_); trivial.
% 21.68/21.90 exact (zenon_H162 zenon_H167).
% 21.68/21.90 (* end of lemma zenon_L890_ *)
% 21.68/21.90 assert (zenon_L891_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H139 zenon_H162 zenon_Ha0 zenon_Hbb zenon_H19a zenon_Hbc zenon_H18a zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H212 zenon_Hb6 zenon_H18d zenon_H31 zenon_Ha9 zenon_H33 zenon_H13a zenon_H48 zenon_H77 zenon_H1bb zenon_H181 zenon_Hc4 zenon_H12e zenon_H68 zenon_H109 zenon_H2d zenon_H164 zenon_H47 zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.68/21.90 apply (zenon_L251_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.90 apply (zenon_L253_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.90 apply (zenon_L110_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.90 apply (zenon_L68_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.68/21.90 apply (zenon_L359_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.68/21.90 apply (zenon_L890_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.68/21.90 apply (zenon_L80_); trivial.
% 21.68/21.90 exact (zenon_H162 zenon_H167).
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.68/21.90 apply (zenon_L122_); trivial.
% 21.68/21.90 apply (zenon_L167_); trivial.
% 21.68/21.90 (* end of lemma zenon_L891_ *)
% 21.68/21.90 assert (zenon_L892_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H82 zenon_H196 zenon_H93 zenon_H177 zenon_H160 zenon_H3d zenon_H77 zenon_H139 zenon_H4e zenon_H4d zenon_H48 zenon_H2d zenon_H1bb zenon_H162 zenon_H18a zenon_H181 zenon_Hc4.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.90 apply (zenon_L818_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.90 apply (zenon_L14_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.90 apply (zenon_L217_); trivial.
% 21.68/21.90 apply (zenon_L211_); trivial.
% 21.68/21.90 (* end of lemma zenon_L892_ *)
% 21.68/21.90 assert (zenon_L893_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H82 zenon_H196 zenon_H93 zenon_H177 zenon_H160 zenon_H13a zenon_Ha9 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H155 zenon_H77 zenon_H139 zenon_H4e zenon_H4d zenon_H48 zenon_H2d zenon_H1bb zenon_H162 zenon_H18a zenon_H181 zenon_Hc4.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.90 apply (zenon_L888_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.90 apply (zenon_L14_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.90 apply (zenon_L217_); trivial.
% 21.68/21.90 apply (zenon_L211_); trivial.
% 21.68/21.90 (* end of lemma zenon_L893_ *)
% 21.68/21.90 assert (zenon_L894_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((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)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_H1fe zenon_H26d zenon_H13c zenon_H117 zenon_Hf0 zenon_H1b4 zenon_H25b zenon_Hf5 zenon_H20f zenon_H25e zenon_H195 zenon_H192 zenon_H163 zenon_Hfa zenon_H131 zenon_H13f zenon_H104 zenon_H121 zenon_H141 zenon_H179 zenon_H55 zenon_H156 zenon_He4 zenon_H94 zenon_H125 zenon_Hb2 zenon_H1c6 zenon_H1c3 zenon_H129 zenon_H18a zenon_H48 zenon_H4d zenon_H4e zenon_H139 zenon_H77 zenon_Hb6 zenon_H31 zenon_Ha0 zenon_Ha9 zenon_H13a zenon_H177 zenon_H93 zenon_H196 zenon_H82 zenon_H73 zenon_Hbb zenon_H19a zenon_Hbc zenon_H212 zenon_H18d zenon_H33 zenon_H12e zenon_H68 zenon_H109 zenon_H164 zenon_H15d zenon_H1bb zenon_H162 zenon_H1c7 zenon_H160 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H181 zenon_Hc4.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.68/21.90 apply (zenon_L877_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.90 apply (zenon_L541_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.90 apply (zenon_L541_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.90 apply (zenon_L25_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.68/21.90 apply (zenon_L116_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.68/21.90 apply (zenon_L882_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.68/21.90 apply (zenon_L124_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.68/21.90 apply (zenon_L831_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.68/21.90 apply (zenon_L882_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.68/21.90 apply (zenon_L887_); trivial.
% 21.68/21.90 exact (zenon_H1c7 zenon_Hac).
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.90 apply (zenon_L55_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.90 apply (zenon_L68_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.68/21.90 apply (zenon_L116_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.68/21.90 apply (zenon_L882_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.68/21.90 apply (zenon_L617_); trivial.
% 21.68/21.90 apply (zenon_L262_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.68/21.90 apply (zenon_L116_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.68/21.90 apply (zenon_L151_); trivial.
% 21.68/21.90 apply (zenon_L48_); trivial.
% 21.68/21.90 apply (zenon_L211_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.90 apply (zenon_L239_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.68/21.90 apply (zenon_L888_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.68/21.90 apply (zenon_L14_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.68/21.90 apply (zenon_L889_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.68/21.90 apply (zenon_L486_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.68/21.90 apply (zenon_L15_); trivial.
% 21.68/21.90 apply (zenon_L658_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.68/21.90 apply (zenon_L831_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.68/21.90 apply (zenon_L178_); trivial.
% 21.68/21.90 apply (zenon_L115_); trivial.
% 21.68/21.90 apply (zenon_L211_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.90 apply (zenon_L891_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.90 apply (zenon_L892_); trivial.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.90 apply (zenon_L184_); trivial.
% 21.68/21.90 apply (zenon_L893_); trivial.
% 21.68/21.90 apply (zenon_L870_); trivial.
% 21.68/21.90 (* end of lemma zenon_L894_ *)
% 21.68/21.90 assert (zenon_L895_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 21.68/21.90 do 0 intro. intros zenon_Hcb zenon_H1bb zenon_H120 zenon_H162 zenon_Hc2 zenon_Hbb.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.68/21.90 exact (zenon_H1a3 zenon_Hbb).
% 21.68/21.90 apply (zenon_L434_); trivial.
% 21.68/21.90 (* end of lemma zenon_L895_ *)
% 21.68/21.90 assert (zenon_L896_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> ((op (e3) (e2)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> False).
% 21.68/21.90 do 0 intro. intros zenon_Hca zenon_Hbb zenon_Hc2 zenon_H139 zenon_H196 zenon_H26d zenon_H31 zenon_H164 zenon_H177 zenon_H18a zenon_H18d zenon_H93 zenon_H77 zenon_H48 zenon_Hbc zenon_H13a zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H33 zenon_H212 zenon_H12e zenon_H162 zenon_H24e zenon_H160 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H1bb zenon_H19a zenon_H68 zenon_H15d zenon_H4e zenon_Hb2 zenon_H141 zenon_Hf0 zenon_H13f zenon_H4d zenon_H131 zenon_H121 zenon_H104 zenon_H163 zenon_Hfa zenon_H192 zenon_H25e zenon_H1b4 zenon_Hf5 zenon_H20f zenon_H195 zenon_H25b zenon_H117 zenon_H1c6 zenon_H129 zenon_H1c3 zenon_H156 zenon_H55 zenon_H179 zenon_He4 zenon_H13c zenon_H82 zenon_H94 zenon_H125 zenon_H73 zenon_H109 zenon_H1fe zenon_Hcb.
% 21.68/21.90 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 21.68/21.90 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.68/21.90 exact (zenon_H1a3 zenon_Hbb).
% 21.68/21.90 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.68/21.90 apply (zenon_L894_); trivial.
% 21.68/21.90 apply (zenon_L894_); trivial.
% 21.68/21.90 apply (zenon_L895_); trivial.
% 21.68/21.90 (* end of lemma zenon_L896_ *)
% 21.68/21.90 assert (zenon_L897_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (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 (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> False).
% 21.68/21.91 do 0 intro. intros zenon_Hc8 zenon_H109 zenon_H1c3 zenon_Hcb zenon_H1fe zenon_H1cb zenon_Ha9 zenon_H1f1 zenon_H73 zenon_H125 zenon_H94 zenon_H82 zenon_H13c zenon_H141 zenon_H179 zenon_H129 zenon_H163 zenon_Hfa zenon_H131 zenon_H13f zenon_H1c6 zenon_H4d zenon_Hb6 zenon_Hf0 zenon_H121 zenon_H104 zenon_H33 zenon_H164 zenon_H11a zenon_H19a zenon_H26d zenon_Hef zenon_H18d zenon_H192 zenon_H25e zenon_Hf5 zenon_H20f zenon_H195 zenon_H25b zenon_H12e zenon_H117 zenon_Ha0 zenon_He4 zenon_H55 zenon_H156 zenon_Hb2 zenon_H13a zenon_H48 zenon_H139 zenon_H93 zenon_H196 zenon_H160 zenon_H177 zenon_H77 zenon_H68 zenon_H31 zenon_H1bb zenon_H1b4 zenon_H1b7 zenon_H212 zenon_Hbc zenon_H7d zenon_H18a zenon_H1cd zenon_H24e zenon_H15d zenon_Hc2 zenon_Hbb zenon_H1a8 zenon_H189 zenon_H186 zenon_H4e zenon_H1a2 zenon_H2c zenon_Hca.
% 21.68/21.91 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 21.68/21.91 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 21.68/21.91 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.68/21.91 exact (zenon_H1a3 zenon_Hbb).
% 21.68/21.91 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.68/21.91 apply (zenon_L855_); trivial.
% 21.68/21.91 apply (zenon_L855_); trivial.
% 21.68/21.91 apply (zenon_L869_); trivial.
% 21.68/21.91 apply (zenon_L896_); trivial.
% 21.68/21.91 (* end of lemma zenon_L897_ *)
% 21.68/21.91 assert (zenon_L898_ : (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (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 (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> False).
% 21.68/21.91 do 0 intro. intros zenon_Hc4 zenon_H1c7 zenon_H209 zenon_Hc8 zenon_H109 zenon_H1c3 zenon_Hcb zenon_H1fe zenon_H1cb zenon_Ha9 zenon_H1f1 zenon_H73 zenon_H125 zenon_H94 zenon_H82 zenon_H13c zenon_H141 zenon_H179 zenon_H129 zenon_H163 zenon_Hfa zenon_H131 zenon_H13f zenon_H1c6 zenon_H4d zenon_Hb6 zenon_Hf0 zenon_H121 zenon_H104 zenon_H33 zenon_H164 zenon_H11a zenon_H19a zenon_H26d zenon_Hef zenon_H18d zenon_H192 zenon_H25e zenon_Hf5 zenon_H20f zenon_H195 zenon_H25b zenon_H12e zenon_H117 zenon_Ha0 zenon_He4 zenon_H55 zenon_H156 zenon_Hb2 zenon_H13a zenon_H48 zenon_H139 zenon_H93 zenon_H196 zenon_H160 zenon_H177 zenon_H77 zenon_H68 zenon_H31 zenon_H1bb zenon_H1b4 zenon_H1b7 zenon_H212 zenon_Hbc zenon_H7d zenon_H18a zenon_H1cd zenon_H24e zenon_H15d zenon_Hc2 zenon_H1a8 zenon_H189 zenon_H186 zenon_H4e zenon_H1a2 zenon_H2c zenon_Hca.
% 21.68/21.91 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.68/21.91 apply (zenon_L68_); trivial.
% 21.68/21.91 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.68/21.91 apply (zenon_L124_); trivial.
% 21.68/21.91 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.68/21.91 apply (zenon_L815_); trivial.
% 21.68/21.91 apply (zenon_L897_); trivial.
% 21.68/21.91 (* end of lemma zenon_L898_ *)
% 21.68/21.91 assert (zenon_L899_ : (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((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 (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (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 (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> False).
% 21.68/21.91 do 0 intro. intros zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H4d zenon_H121 zenon_H104 zenon_H1c7 zenon_H209 zenon_Hc8 zenon_H109 zenon_H1c3 zenon_Hcb zenon_H1fe zenon_H1cb zenon_Ha9 zenon_H1f1 zenon_H73 zenon_H125 zenon_H94 zenon_H82 zenon_H13c zenon_H141 zenon_H179 zenon_H129 zenon_H163 zenon_Hfa zenon_H131 zenon_H13f zenon_H1c6 zenon_Hf0 zenon_H33 zenon_H164 zenon_H11a zenon_H19a zenon_H26d zenon_Hef zenon_H18d zenon_H192 zenon_H25e zenon_Hf5 zenon_H20f zenon_H195 zenon_H25b zenon_H12e zenon_H117 zenon_He4 zenon_H55 zenon_H156 zenon_Hb2 zenon_H13a zenon_H48 zenon_H139 zenon_H93 zenon_H196 zenon_H160 zenon_H177 zenon_H77 zenon_H68 zenon_H1bb zenon_H1b4 zenon_H1b7 zenon_H212 zenon_Hbc zenon_H7d zenon_H18a zenon_H1cd zenon_H24e zenon_H15d zenon_Hc2 zenon_H1a8 zenon_H189 zenon_H186 zenon_H4e zenon_H1a2 zenon_H2c zenon_Hca.
% 21.68/21.91 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.68/21.91 apply (zenon_L898_); trivial.
% 21.68/21.91 apply (zenon_L898_); trivial.
% 21.68/21.91 (* end of lemma zenon_L899_ *)
% 21.68/21.91 assert (zenon_L900_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> False).
% 21.68/21.91 do 0 intro. intros zenon_H24 zenon_H9f zenon_Ha6.
% 21.68/21.91 cut (((op (e0) (e0)) = (e3)) = ((op (e0) (e0)) = (op (e1) (e0)))).
% 21.68/21.91 intro zenon_D_pnotp.
% 21.68/21.91 apply zenon_H24.
% 21.68/21.91 rewrite <- zenon_D_pnotp.
% 21.68/21.91 exact zenon_H9f.
% 21.68/21.91 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 21.68/21.91 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 21.68/21.91 congruence.
% 21.68/21.91 apply zenon_H27. apply refl_equal.
% 21.68/21.91 apply zenon_Ha7. apply sym_equal. exact zenon_Ha6.
% 21.68/21.91 (* end of lemma zenon_L900_ *)
% 21.68/21.91 assert (zenon_L901_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (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 (e3) (e2)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> False).
% 21.68/21.91 do 0 intro. intros zenon_H99 zenon_H109 zenon_H1c3 zenon_H1fe zenon_H1cb zenon_Ha9 zenon_H1f1 zenon_H73 zenon_H125 zenon_H94 zenon_H82 zenon_H13c zenon_H141 zenon_H179 zenon_H129 zenon_H163 zenon_Hfa zenon_H131 zenon_H13f zenon_H1c6 zenon_H4d zenon_Hb6 zenon_Hf0 zenon_H121 zenon_H104 zenon_H33 zenon_H164 zenon_H11a zenon_H19a zenon_H26d zenon_Hef zenon_H18d zenon_H192 zenon_H25e zenon_Hf5 zenon_H20f zenon_H195 zenon_H25b zenon_H12e zenon_H117 zenon_Ha0 zenon_He4 zenon_H55 zenon_H156 zenon_Hb2 zenon_H13a zenon_H48 zenon_H139 zenon_H196 zenon_H177 zenon_H77 zenon_H68 zenon_H31 zenon_H1bb zenon_H1b4 zenon_H1b7 zenon_H212 zenon_Hbc zenon_H7d zenon_H18a zenon_H1cd zenon_H24e zenon_H15d zenon_Hbb zenon_H1a8 zenon_H189 zenon_H186 zenon_H4e zenon_H1a2 zenon_H2c.
% 21.68/21.91 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.68/21.91 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 21.68/21.91 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.68/21.91 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.68/21.91 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.68/21.91 apply (zenon_L897_); trivial.
% 21.68/21.91 (* end of lemma zenon_L901_ *)
% 21.68/21.91 assert (zenon_L902_ : ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e2)) = (e3)) -> (((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 (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (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)) = (e0)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (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 (e1) (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 (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.68/21.91 do 0 intro. intros zenon_H3d zenon_H2c zenon_H1a2 zenon_H4e zenon_H186 zenon_H1a8 zenon_Hbb zenon_H15d zenon_H24e zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H1b7 zenon_H1b4 zenon_H1bb zenon_H31 zenon_H68 zenon_H77 zenon_H177 zenon_H196 zenon_H139 zenon_H48 zenon_H13a zenon_Hb2 zenon_H156 zenon_H55 zenon_He4 zenon_Ha0 zenon_H117 zenon_H12e zenon_H25b zenon_H195 zenon_H20f zenon_Hf5 zenon_H25e zenon_H192 zenon_H18d zenon_H26d zenon_H19a zenon_H11a zenon_H164 zenon_H33 zenon_H104 zenon_H121 zenon_Hf0 zenon_Hb6 zenon_H4d zenon_H1c6 zenon_H13f zenon_H131 zenon_Hfa zenon_H163 zenon_H129 zenon_H179 zenon_H141 zenon_H13c zenon_H82 zenon_H94 zenon_H125 zenon_H73 zenon_H1f1 zenon_Ha9 zenon_H1cb zenon_H1fe zenon_H1c3 zenon_H109 zenon_H99 zenon_H189 zenon_H93 zenon_H160 zenon_H1cd.
% 21.68/21.91 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.68/21.91 apply (zenon_L214_); trivial.
% 21.68/21.91 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.68/21.91 apply (zenon_L901_); trivial.
% 21.68/21.91 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.68/21.91 apply (zenon_L439_); trivial.
% 21.68/21.91 apply (zenon_L240_); trivial.
% 21.68/21.91 (* end of lemma zenon_L902_ *)
% 21.68/21.91 assert (zenon_L903_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.91 do 0 intro. intros zenon_H2d zenon_H93 zenon_H189 zenon_H99 zenon_H109 zenon_H1c3 zenon_H1fe zenon_H1cb zenon_Ha9 zenon_H1f1 zenon_H73 zenon_H125 zenon_H94 zenon_H82 zenon_H13c zenon_H141 zenon_H179 zenon_H129 zenon_H163 zenon_Hfa zenon_H131 zenon_H13f zenon_H1c6 zenon_H4d zenon_Hb6 zenon_Hf0 zenon_H121 zenon_H104 zenon_H33 zenon_H164 zenon_H11a zenon_H19a zenon_H26d zenon_H18d zenon_H192 zenon_H25e zenon_Hf5 zenon_H20f zenon_H195 zenon_H25b zenon_H12e zenon_H117 zenon_Ha0 zenon_He4 zenon_H55 zenon_H156 zenon_Hb2 zenon_H13a zenon_H139 zenon_H196 zenon_H177 zenon_H77 zenon_H68 zenon_H15d zenon_H1a8 zenon_H186 zenon_H4e zenon_H1a2 zenon_H2c zenon_H48 zenon_H31 zenon_H1bb zenon_H1cd zenon_Hbb zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4.
% 21.68/21.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.68/21.91 apply (zenon_L843_); trivial.
% 21.68/21.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.68/21.91 apply (zenon_L902_); trivial.
% 21.68/21.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.68/21.91 apply (zenon_L239_); trivial.
% 21.68/21.91 apply (zenon_L816_); trivial.
% 21.68/21.91 (* end of lemma zenon_L903_ *)
% 21.68/21.91 assert (zenon_L904_ : ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.68/21.91 do 0 intro. intros zenon_H10c zenon_H1c7 zenon_H2d zenon_H93 zenon_H189 zenon_H99 zenon_H109 zenon_H1c3 zenon_H1fe zenon_H1cb zenon_Ha9 zenon_H1f1 zenon_H73 zenon_H125 zenon_H94 zenon_H82 zenon_H13c zenon_H141 zenon_H179 zenon_H129 zenon_H163 zenon_Hfa zenon_H131 zenon_H13f zenon_H1c6 zenon_H4d zenon_Hb6 zenon_Hf0 zenon_H121 zenon_H104 zenon_H33 zenon_H164 zenon_H11a zenon_H19a zenon_H26d zenon_H18d zenon_H192 zenon_H25e zenon_Hf5 zenon_H20f zenon_H195 zenon_H25b zenon_H12e zenon_H117 zenon_Ha0 zenon_He4 zenon_H55 zenon_H156 zenon_Hb2 zenon_H13a zenon_H139 zenon_H196 zenon_H177 zenon_H77 zenon_H68 zenon_H15d zenon_H1a8 zenon_H186 zenon_H4e zenon_H1a2 zenon_H2c zenon_H48 zenon_H31 zenon_H1bb zenon_H1cd zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4.
% 21.68/21.91 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.68/21.91 apply (zenon_L393_); trivial.
% 21.68/21.91 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.68/21.91 apply (zenon_L124_); trivial.
% 21.68/21.91 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.68/21.91 apply (zenon_L815_); trivial.
% 21.68/21.91 apply (zenon_L903_); trivial.
% 21.68/21.91 (* end of lemma zenon_L904_ *)
% 21.68/21.91 assert (zenon_L905_ : ((op (e0) (e1)) = (e3)) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((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 (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (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))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (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 (e1) (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 (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.78/21.91 do 0 intro. intros zenon_Hdb zenon_Hca zenon_H2c zenon_H1a2 zenon_H4e zenon_H186 zenon_H189 zenon_H1a8 zenon_Hc2 zenon_H15d zenon_H24e zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H1b7 zenon_H1b4 zenon_H1bb zenon_H68 zenon_H177 zenon_H196 zenon_H93 zenon_H139 zenon_H48 zenon_H13a zenon_Hb2 zenon_H156 zenon_H55 zenon_He4 zenon_H117 zenon_H12e zenon_H25b zenon_H195 zenon_H20f zenon_Hf5 zenon_H25e zenon_H192 zenon_H18d zenon_H26d zenon_H19a zenon_H11a zenon_H164 zenon_H33 zenon_Hf0 zenon_H1c6 zenon_H13f zenon_H131 zenon_Hfa zenon_H163 zenon_H129 zenon_H179 zenon_H141 zenon_H13c zenon_H82 zenon_H94 zenon_H125 zenon_H73 zenon_H1f1 zenon_Ha9 zenon_H1cb zenon_H1fe zenon_Hcb zenon_H1c3 zenon_H109 zenon_Hc8 zenon_H209 zenon_H1c7 zenon_H104 zenon_H121 zenon_H4d zenon_Hb6 zenon_H31 zenon_Ha0 zenon_H53 zenon_H77 zenon_H160 zenon_H1cd.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.91 apply (zenon_L110_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.91 apply (zenon_L899_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.91 apply (zenon_L56_); trivial.
% 21.78/21.91 apply (zenon_L240_); trivial.
% 21.78/21.91 (* end of lemma zenon_L905_ *)
% 21.78/21.91 assert (zenon_L906_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((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 (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.78/21.91 do 0 intro. intros zenon_H1cd zenon_H160 zenon_H77 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H4d zenon_H121 zenon_H104 zenon_H1c7 zenon_H209 zenon_Hc8 zenon_H109 zenon_H1c3 zenon_Hcb zenon_H1fe zenon_H1cb zenon_Ha9 zenon_H1f1 zenon_H73 zenon_H125 zenon_H94 zenon_H82 zenon_H13c zenon_H141 zenon_H179 zenon_H129 zenon_H163 zenon_Hfa zenon_H131 zenon_H13f zenon_H1c6 zenon_Hf0 zenon_H33 zenon_H164 zenon_H11a zenon_H19a zenon_H26d zenon_H18d zenon_H192 zenon_H25e zenon_Hf5 zenon_H20f zenon_H195 zenon_H25b zenon_H12e zenon_H117 zenon_He4 zenon_H55 zenon_H156 zenon_Hb2 zenon_H13a zenon_H48 zenon_H139 zenon_H93 zenon_H196 zenon_H177 zenon_H68 zenon_H1bb zenon_H1b4 zenon_H1b7 zenon_H212 zenon_Hbc zenon_H18a zenon_H24e zenon_H15d zenon_Hc2 zenon_H1a8 zenon_H189 zenon_H186 zenon_H4e zenon_H1a2 zenon_H2c zenon_Hca zenon_Hdb zenon_H7d zenon_H7e.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.91 apply (zenon_L55_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.91 apply (zenon_L486_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.91 apply (zenon_L905_); trivial.
% 21.78/21.91 apply (zenon_L31_); trivial.
% 21.78/21.91 (* end of lemma zenon_L906_ *)
% 21.78/21.91 assert (zenon_L907_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.78/21.91 do 0 intro. intros zenon_H1a2 zenon_H31 zenon_H104 zenon_H121 zenon_H15d zenon_H196 zenon_H93 zenon_H177 zenon_He4 zenon_H156 zenon_H1cb zenon_H1f1 zenon_H18d zenon_H13a zenon_Ha9 zenon_Hb6 zenon_H139 zenon_H68 zenon_Ha0 zenon_H19a zenon_H77 zenon_H1c7 zenon_H34 zenon_H163 zenon_H192 zenon_H48 zenon_H12e zenon_H73 zenon_H4d zenon_H1bb zenon_H1cd zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.78/21.91 apply (zenon_L68_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.78/21.91 apply (zenon_L124_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.78/21.91 apply (zenon_L815_); trivial.
% 21.78/21.91 apply (zenon_L854_); trivial.
% 21.78/21.91 (* end of lemma zenon_L907_ *)
% 21.78/21.91 assert (zenon_L908_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (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)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.78/21.91 do 0 intro. intros zenon_Hc8 zenon_H109 zenon_H1c3 zenon_Hcb zenon_H1fe zenon_H125 zenon_H94 zenon_H82 zenon_H13c zenon_H141 zenon_H179 zenon_H129 zenon_Hfa zenon_H131 zenon_H13f zenon_H1c6 zenon_Hf0 zenon_H33 zenon_H164 zenon_H11a zenon_H26d zenon_H25e zenon_Hf5 zenon_H20f zenon_H195 zenon_H25b zenon_H117 zenon_H55 zenon_Hb2 zenon_Hc2 zenon_H1a8 zenon_H189 zenon_H186 zenon_H4e zenon_H2c zenon_Hca zenon_H24 zenon_H99 zenon_H67 zenon_H1a2 zenon_H31 zenon_H104 zenon_H121 zenon_H15d zenon_H196 zenon_H93 zenon_H177 zenon_He4 zenon_H156 zenon_H1cb zenon_H1f1 zenon_H18d zenon_H13a zenon_Ha9 zenon_Hb6 zenon_H139 zenon_H68 zenon_Ha0 zenon_H19a zenon_H77 zenon_H1c7 zenon_H163 zenon_H192 zenon_H48 zenon_H12e zenon_H73 zenon_H4d zenon_H1bb zenon_H1cd zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/21.91 apply (zenon_L20_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/21.91 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.91 apply (zenon_L171_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.91 apply (zenon_L898_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.91 apply (zenon_L59_); trivial.
% 21.78/21.91 apply (zenon_L228_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.91 apply (zenon_L251_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.91 apply (zenon_L214_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.91 apply (zenon_L899_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.91 apply (zenon_L458_); trivial.
% 21.78/21.91 apply (zenon_L240_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.91 apply (zenon_L239_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.91 apply (zenon_L744_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.91 apply (zenon_L14_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.91 apply (zenon_L217_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.91 apply (zenon_L900_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.91 apply (zenon_L904_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.91 apply (zenon_L124_); trivial.
% 21.78/21.91 apply (zenon_L549_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.91 apply (zenon_L906_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.91 apply (zenon_L68_); trivial.
% 21.78/21.91 apply (zenon_L115_); trivial.
% 21.78/21.91 apply (zenon_L907_); trivial.
% 21.78/21.91 (* end of lemma zenon_L908_ *)
% 21.78/21.91 assert (zenon_L909_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (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) (e3)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.78/21.91 do 0 intro. intros zenon_H19a zenon_H48 zenon_H155 zenon_Hc4 zenon_H181 zenon_H20f zenon_H1bb zenon_H93 zenon_H68 zenon_H12e zenon_H67 zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H160 zenon_H77 zenon_H120.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.78/21.91 apply (zenon_L246_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.78/21.91 apply (zenon_L422_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.78/21.91 apply (zenon_L158_); trivial.
% 21.78/21.91 apply (zenon_L558_); trivial.
% 21.78/21.91 (* end of lemma zenon_L909_ *)
% 21.78/21.91 assert (zenon_L910_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.78/21.91 do 0 intro. intros zenon_H1fe zenon_He4 zenon_H156 zenon_H24e zenon_H141 zenon_H2c zenon_Ha0 zenon_Hb6 zenon_H1a2 zenon_H55 zenon_H1b7 zenon_H179 zenon_H67 zenon_H68 zenon_H20f zenon_H181 zenon_H19a zenon_H4d zenon_H73 zenon_H82 zenon_H196 zenon_H139 zenon_H4e zenon_H1a8 zenon_H177 zenon_H31 zenon_H1b4 zenon_H18d zenon_H164 zenon_H189 zenon_H1cd zenon_H15d zenon_H12e zenon_H48 zenon_Hc4 zenon_H93 zenon_H129 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1bb zenon_H160 zenon_H77 zenon_H120.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/21.91 apply (zenon_L859_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/21.91 apply (zenon_L559_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.91 apply (zenon_L251_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.91 apply (zenon_L818_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.91 apply (zenon_L14_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.91 apply (zenon_L217_); trivial.
% 21.78/21.91 apply (zenon_L865_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.91 apply (zenon_L184_); trivial.
% 21.78/21.91 apply (zenon_L909_); trivial.
% 21.78/21.91 apply (zenon_L528_); trivial.
% 21.78/21.91 (* end of lemma zenon_L910_ *)
% 21.78/21.91 assert (zenon_L911_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.78/21.91 do 0 intro. intros zenon_He4 zenon_H77 zenon_H156 zenon_H4d zenon_H55 zenon_H54 zenon_H164 zenon_Hc4 zenon_H181 zenon_H24e zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H1bb zenon_H155 zenon_Hb6 zenon_Ha0 zenon_H6e zenon_Ha9 zenon_H33 zenon_H13a zenon_H160 zenon_Hbc zenon_H7d zenon_H212 zenon_H31 zenon_H177 zenon_H162.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.91 apply (zenon_L214_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.91 apply (zenon_L486_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.91 apply (zenon_L15_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.78/21.91 apply (zenon_L870_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.78/21.91 apply (zenon_L872_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.78/21.91 apply (zenon_L406_); trivial.
% 21.78/21.91 exact (zenon_H162 zenon_H167).
% 21.78/21.91 (* end of lemma zenon_L911_ *)
% 21.78/21.91 assert (zenon_L912_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e0))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.91 do 0 intro. intros zenon_H139 zenon_H68 zenon_H1e zenon_H162 zenon_H31 zenon_H212 zenon_H7d zenon_Hbc zenon_H13a zenon_H33 zenon_Ha9 zenon_Ha0 zenon_Hb6 zenon_H155 zenon_H1bb zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H24e zenon_H181 zenon_Hc4 zenon_H164 zenon_H54 zenon_H55 zenon_H4d zenon_H156 zenon_H77 zenon_He4 zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.91 apply (zenon_L20_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.91 apply (zenon_L911_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.91 apply (zenon_L122_); trivial.
% 21.78/21.91 apply (zenon_L167_); trivial.
% 21.78/21.91 (* end of lemma zenon_L912_ *)
% 21.78/21.91 assert (zenon_L913_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.78/21.91 do 0 intro. intros zenon_H15d zenon_H48 zenon_H82 zenon_H4e zenon_H196 zenon_H93 zenon_H177 zenon_H160 zenon_He4 zenon_H77 zenon_H156 zenon_H4d zenon_H55 zenon_H164 zenon_H24e zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H33 zenon_H13a zenon_Hbc zenon_H7d zenon_H212 zenon_H31 zenon_H1e zenon_H68 zenon_H139 zenon_H1bb zenon_H162 zenon_H18a zenon_H181 zenon_Hc4.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.91 apply (zenon_L13_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.91 apply (zenon_L215_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.91 apply (zenon_L239_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.91 apply (zenon_L888_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.91 apply (zenon_L14_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.91 apply (zenon_L912_); trivial.
% 21.78/21.91 apply (zenon_L211_); trivial.
% 21.78/21.91 (* end of lemma zenon_L913_ *)
% 21.78/21.91 assert (zenon_L914_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (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 (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (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 (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.78/21.91 do 0 intro. intros zenon_H13c zenon_H1c6 zenon_H117 zenon_H54 zenon_Hf0 zenon_H196 zenon_H25b zenon_Hf5 zenon_H25e zenon_H18a zenon_H31 zenon_H177 zenon_H33 zenon_H121 zenon_Hc4 zenon_H181 zenon_H1c3 zenon_H9f zenon_Ha9 zenon_H68 zenon_H77 zenon_H162 zenon_H1bb zenon_H164 zenon_H1cd zenon_H7d zenon_H24e zenon_H4d zenon_H192 zenon_H3d zenon_H12e zenon_H1b7 zenon_H93 zenon_Ha0 zenon_Hfa zenon_H25 zenon_H1b4 zenon_H20f zenon_H129 zenon_H48 zenon_H18d zenon_H160 zenon_H163 zenon_H195 zenon_H19a zenon_H104 zenon_H13f zenon_Hb6 zenon_H131 zenon_H141 zenon_H1c7.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.91 apply (zenon_L116_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.91 apply (zenon_L882_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.91 apply (zenon_L124_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.78/21.91 apply (zenon_L55_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.78/21.91 apply (zenon_L882_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.78/21.91 apply (zenon_L887_); trivial.
% 21.78/21.91 exact (zenon_H1c7 zenon_Hac).
% 21.78/21.91 (* end of lemma zenon_L914_ *)
% 21.78/21.91 assert (zenon_L915_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.78/21.91 do 0 intro. intros zenon_H1bb zenon_H18a zenon_H7d zenon_H9d zenon_H160 zenon_H1cd zenon_H1b7 zenon_H34 zenon_H24e zenon_H181 zenon_H9e zenon_H1b4.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.78/21.91 apply (zenon_L416_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.78/21.91 apply (zenon_L803_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.78/21.91 exact (zenon_H181 zenon_H17c).
% 21.78/21.91 apply (zenon_L602_); trivial.
% 21.78/21.91 (* end of lemma zenon_L915_ *)
% 21.78/21.91 assert (zenon_L916_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> False).
% 21.78/21.91 do 0 intro. intros zenon_He4 zenon_Hef zenon_H163 zenon_H192 zenon_H1bb zenon_H162 zenon_H18a zenon_H181 zenon_Hc4 zenon_H12e zenon_H156 zenon_H4d zenon_H55 zenon_H54 zenon_H48 zenon_He0.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.91 apply (zenon_L878_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.91 apply (zenon_L486_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.91 apply (zenon_L15_); trivial.
% 21.78/21.91 apply (zenon_L57_); trivial.
% 21.78/21.91 (* end of lemma zenon_L916_ *)
% 21.78/21.91 assert (zenon_L917_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((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)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 21.78/21.91 do 0 intro. intros zenon_Hb2 zenon_Hf5 zenon_H141 zenon_H121 zenon_H33 zenon_H1c7 zenon_H104 zenon_H13f zenon_H131 zenon_Hfa zenon_H3d zenon_H77 zenon_H195 zenon_H25e zenon_H20f zenon_H25b zenon_H196 zenon_Hf0 zenon_H117 zenon_H68 zenon_H93 zenon_H13c zenon_Ha0 zenon_H25 zenon_Hb6 zenon_H164 zenon_H1b4 zenon_H9e zenon_H24e zenon_H1b7 zenon_H1cd zenon_H160 zenon_H7d zenon_H48 zenon_H54 zenon_H55 zenon_H4d zenon_H156 zenon_H12e zenon_Hc4 zenon_H181 zenon_H18a zenon_H1bb zenon_H192 zenon_H163 zenon_Hef zenon_He4 zenon_H31 zenon_H177 zenon_H162.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.91 apply (zenon_L116_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.91 apply (zenon_L882_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.91 apply (zenon_L124_); trivial.
% 21.78/21.91 apply (zenon_L262_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.78/21.91 apply (zenon_L116_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.78/21.91 apply (zenon_L151_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.78/21.91 apply (zenon_L915_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.78/21.91 apply (zenon_L916_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.78/21.91 apply (zenon_L406_); trivial.
% 21.78/21.91 exact (zenon_H162 zenon_H167).
% 21.78/21.91 (* end of lemma zenon_L917_ *)
% 21.78/21.91 assert (zenon_L918_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.78/21.91 do 0 intro. intros zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H4d zenon_Hc4 zenon_H104 zenon_H1c7 zenon_H9f zenon_H33 zenon_H121 zenon_H212 zenon_H25 zenon_H179 zenon_H7f zenon_H7d zenon_H160 zenon_Hbc.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.78/21.91 apply (zenon_L68_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.78/21.91 apply (zenon_L124_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.78/21.91 apply (zenon_L819_); trivial.
% 21.78/21.91 apply (zenon_L658_); trivial.
% 21.78/21.91 (* end of lemma zenon_L918_ *)
% 21.78/21.91 assert (zenon_L919_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((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)) = (op (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.78/21.91 do 0 intro. intros zenon_H82 zenon_Ha9 zenon_H139 zenon_H155 zenon_Hb6 zenon_H31 zenon_Ha0 zenon_H13c zenon_H25 zenon_H173 zenon_H4d zenon_H19a zenon_H48 zenon_H93 zenon_H68 zenon_He4 zenon_H141 zenon_H13f zenon_H131 zenon_H177 zenon_Hfa zenon_H163 zenon_H192 zenon_H12e zenon_H77 zenon_H195 zenon_H25e zenon_H20f zenon_Hf5 zenon_H25b zenon_H1b4 zenon_H196 zenon_H164 zenon_Hf0 zenon_H117 zenon_H156 zenon_H55 zenon_H1a2 zenon_H104 zenon_H1c7 zenon_H33 zenon_H121 zenon_H212 zenon_H179 zenon_H7d zenon_H160 zenon_Hbc zenon_H13a zenon_H1bb zenon_H162 zenon_H18a zenon_H181 zenon_Hc4.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.91 apply (zenon_L888_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.91 apply (zenon_L25_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.91 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.91 apply (zenon_L889_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.91 apply (zenon_L486_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.91 apply (zenon_L15_); trivial.
% 21.78/21.91 apply (zenon_L918_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.91 apply (zenon_L116_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.91 apply (zenon_L120_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.91 apply (zenon_L124_); trivial.
% 21.78/21.91 apply (zenon_L247_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.91 apply (zenon_L68_); trivial.
% 21.78/21.91 apply (zenon_L115_); trivial.
% 21.78/21.91 apply (zenon_L211_); trivial.
% 21.78/21.91 (* end of lemma zenon_L919_ *)
% 21.78/21.91 assert (zenon_L920_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((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) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.78/21.91 do 0 intro. intros zenon_H1fe zenon_Hbc zenon_H179 zenon_H212 zenon_H121 zenon_H33 zenon_H104 zenon_H1a2 zenon_H55 zenon_H156 zenon_H117 zenon_Hf0 zenon_H164 zenon_H1b4 zenon_H25b zenon_Hf5 zenon_H20f zenon_H25e zenon_H195 zenon_H12e zenon_H192 zenon_H163 zenon_Hfa zenon_H131 zenon_H13f zenon_H141 zenon_He4 zenon_H68 zenon_H19a zenon_H173 zenon_H13c zenon_Hb2 zenon_H1c6 zenon_H1c3 zenon_H129 zenon_H18d zenon_H18a zenon_H48 zenon_H4d zenon_H4e zenon_H139 zenon_H77 zenon_Hb6 zenon_H31 zenon_Ha0 zenon_Ha9 zenon_H13a zenon_H177 zenon_H93 zenon_H196 zenon_H82 zenon_H73 zenon_H67 zenon_H15d zenon_H1bb zenon_H162 zenon_H1c7 zenon_H160 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H181 zenon_Hc4.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/21.91 apply (zenon_L913_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.91 apply (zenon_L251_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.91 apply (zenon_L818_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.91 apply (zenon_L25_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.91 apply (zenon_L914_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.91 apply (zenon_L55_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.91 apply (zenon_L68_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.91 apply (zenon_L171_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.91 apply (zenon_L917_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.91 apply (zenon_L227_); trivial.
% 21.78/21.91 apply (zenon_L228_); trivial.
% 21.78/21.91 apply (zenon_L211_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.91 apply (zenon_L239_); trivial.
% 21.78/21.91 apply (zenon_L919_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.91 apply (zenon_L251_); trivial.
% 21.78/21.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.91 apply (zenon_L892_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.92 apply (zenon_L184_); trivial.
% 21.78/21.92 apply (zenon_L893_); trivial.
% 21.78/21.92 apply (zenon_L870_); trivial.
% 21.78/21.92 (* end of lemma zenon_L920_ *)
% 21.78/21.92 assert (zenon_L921_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H240 zenon_H67 zenon_H31.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 21.78/21.92 exact (zenon_H237 zenon_H31).
% 21.78/21.92 exact (zenon_H6c zenon_H67).
% 21.78/21.92 (* end of lemma zenon_L921_ *)
% 21.78/21.92 assert (zenon_L922_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H9b zenon_H67 zenon_H31.
% 21.78/21.92 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 21.78/21.92 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 21.78/21.92 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.78/21.92 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.78/21.92 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 21.78/21.92 apply (zenon_L921_); trivial.
% 21.78/21.92 (* end of lemma zenon_L922_ *)
% 21.78/21.92 assert (zenon_L923_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> False).
% 21.78/21.92 do 0 intro. intros zenon_Hfa zenon_H68 zenon_H25 zenon_H1b3 zenon_H77 zenon_H4d zenon_Ha9 zenon_Ha5.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.92 apply (zenon_L171_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.92 exact (zenon_H1b3 zenon_Hef).
% 21.78/21.92 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.92 apply (zenon_L59_); trivial.
% 21.78/21.92 apply (zenon_L299_); trivial.
% 21.78/21.92 (* end of lemma zenon_L923_ *)
% 21.78/21.92 assert (zenon_L924_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H82 zenon_H7d zenon_Ha5 zenon_H5d zenon_Hb6 zenon_Hb2 zenon_H7a zenon_H2d zenon_H164 zenon_H48 zenon_Hac zenon_Ha0 zenon_H31 zenon_H177 zenon_H67.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.92 apply (zenon_L355_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.92 exact (zenon_H7a zenon_H3c).
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.92 apply (zenon_L217_); trivial.
% 21.78/21.92 apply (zenon_L718_); trivial.
% 21.78/21.92 (* end of lemma zenon_L924_ *)
% 21.78/21.92 assert (zenon_L925_ : (((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)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H1c3 zenon_H68 zenon_H38 zenon_Ha5 zenon_Ha9 zenon_H189 zenon_H6d zenon_H77 zenon_H11f.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.78/21.92 apply (zenon_L165_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.78/21.92 apply (zenon_L299_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.78/21.92 apply (zenon_L439_); trivial.
% 21.78/21.92 apply (zenon_L884_); trivial.
% 21.78/21.92 (* end of lemma zenon_L925_ *)
% 21.78/21.92 assert (zenon_L926_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e3)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H1c3 zenon_H9f zenon_H11f zenon_Ha5 zenon_Ha9 zenon_H189 zenon_H6d zenon_H68 zenon_H167.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.78/21.92 apply (zenon_L673_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.78/21.92 apply (zenon_L299_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.78/21.92 apply (zenon_L439_); trivial.
% 21.78/21.92 apply (zenon_L295_); trivial.
% 21.78/21.92 (* end of lemma zenon_L926_ *)
% 21.78/21.92 assert (zenon_L927_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e3)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H19a zenon_Ha0 zenon_H77 zenon_H1c3 zenon_H9f zenon_H11f zenon_Ha5 zenon_Ha9 zenon_H189 zenon_H6d zenon_H68.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.78/21.92 apply (zenon_L925_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.78/21.92 apply (zenon_L90_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.78/21.92 apply (zenon_L885_); trivial.
% 21.78/21.92 apply (zenon_L926_); trivial.
% 21.78/21.92 (* end of lemma zenon_L927_ *)
% 21.78/21.92 assert (zenon_L928_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e3) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H1a8 zenon_H3d zenon_H1b3 zenon_H68 zenon_H189 zenon_Ha5 zenon_H11f zenon_H9f zenon_H1c3 zenon_H77 zenon_Ha0 zenon_H19a zenon_Ha9 zenon_Hac.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.92 apply (zenon_L214_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.92 exact (zenon_H1b3 zenon_Hef).
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.92 apply (zenon_L927_); trivial.
% 21.78/21.92 apply (zenon_L371_); trivial.
% 21.78/21.92 (* end of lemma zenon_L928_ *)
% 21.78/21.92 assert (zenon_L929_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False).
% 21.78/21.92 do 0 intro. intros zenon_Hf0 zenon_He7 zenon_Hdd.
% 21.78/21.92 cut (((op (e1) (e1)) = (e0)) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 21.78/21.92 intro zenon_D_pnotp.
% 21.78/21.92 apply zenon_Hf0.
% 21.78/21.92 rewrite <- zenon_D_pnotp.
% 21.78/21.92 exact zenon_He7.
% 21.78/21.92 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H265].
% 21.78/21.92 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 21.78/21.92 congruence.
% 21.78/21.92 apply zenon_H10f. apply refl_equal.
% 21.78/21.92 apply zenon_H265. apply sym_equal. exact zenon_Hdd.
% 21.78/21.92 (* end of lemma zenon_L929_ *)
% 21.78/21.92 assert (zenon_L930_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H1c3 zenon_H77 zenon_H155 zenon_Ha5 zenon_Ha9 zenon_H115 zenon_H68 zenon_H181.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.78/21.92 apply (zenon_L98_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.78/21.92 apply (zenon_L299_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.78/21.92 apply (zenon_L158_); trivial.
% 21.78/21.92 exact (zenon_H181 zenon_H17c).
% 21.78/21.92 (* end of lemma zenon_L930_ *)
% 21.78/21.92 assert (zenon_L931_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H169 zenon_He3 zenon_H40 zenon_H11a zenon_Hac zenon_H158 zenon_H4d.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 21.78/21.92 exact (zenon_H1d4 zenon_H4d).
% 21.78/21.92 apply (zenon_L373_); trivial.
% 21.78/21.92 (* end of lemma zenon_L931_ *)
% 21.78/21.92 assert (zenon_L932_ : ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H3e zenon_H4d zenon_H158 zenon_Hac zenon_H11a zenon_He3 zenon_H169.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 21.78/21.92 apply (zenon_L931_); trivial.
% 21.78/21.92 apply (zenon_L931_); trivial.
% 21.78/21.92 (* end of lemma zenon_L932_ *)
% 21.78/21.92 assert (zenon_L933_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H13c zenon_Ha0 zenon_H25 zenon_H173 zenon_Hdb zenon_Hb6 zenon_H4d zenon_Hb9 zenon_H195.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.92 apply (zenon_L116_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.92 apply (zenon_L120_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.92 apply (zenon_L124_); trivial.
% 21.78/21.92 apply (zenon_L172_); trivial.
% 21.78/21.92 (* end of lemma zenon_L933_ *)
% 21.78/21.92 assert (zenon_L934_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H13a zenon_H47 zenon_H195 zenon_H4d zenon_Hb6 zenon_H173 zenon_H25 zenon_Ha0 zenon_H13c zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.92 apply (zenon_L253_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.92 apply (zenon_L933_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.92 apply (zenon_L178_); trivial.
% 21.78/21.92 apply (zenon_L154_); trivial.
% 21.78/21.92 (* end of lemma zenon_L934_ *)
% 21.78/21.92 assert (zenon_L935_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (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 (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H1cf zenon_H68 zenon_H31 zenon_H156 zenon_Hef zenon_H8b zenon_H12e zenon_H48 zenon_H34 zenon_H3d zenon_H192 zenon_H77 zenon_H25e zenon_H195 zenon_H93 zenon_H20f zenon_Hf5 zenon_H25b zenon_H1b4 zenon_H9f zenon_Hb9 zenon_H196.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.92 apply (zenon_L264_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.92 apply (zenon_L100_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.92 exact (zenon_H8b zenon_H8a).
% 21.78/21.92 apply (zenon_L820_); trivial.
% 21.78/21.92 (* end of lemma zenon_L935_ *)
% 21.78/21.92 assert (zenon_L936_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H164 zenon_H9f zenon_H93 zenon_H192 zenon_H3d zenon_H48 zenon_H12e zenon_H31 zenon_H1cf zenon_H129 zenon_Hc0 zenon_H13a zenon_H68 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H19a zenon_H7e zenon_H7d zenon_H16a zenon_H7b zenon_H77 zenon_H8b zenon_H156 zenon_Hb6 zenon_He4 zenon_H177 zenon_H196 zenon_Hef zenon_H67 zenon_H1bb zenon_Hbb zenon_Ha0 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H10c zenon_Hb9 zenon_H195.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.78/21.92 apply (zenon_L935_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.78/21.92 apply (zenon_L669_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.78/21.92 apply (zenon_L80_); trivial.
% 21.78/21.92 apply (zenon_L684_); trivial.
% 21.78/21.92 (* end of lemma zenon_L936_ *)
% 21.78/21.92 assert (zenon_L937_ : (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((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 (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H1ba zenon_H1d5 zenon_H186 zenon_H1bb zenon_H67 zenon_Hef zenon_H177 zenon_He4 zenon_H156 zenon_H8b zenon_H7b zenon_H16a zenon_H19a zenon_H68 zenon_H13a zenon_Hc0 zenon_H129 zenon_H1cf zenon_H12e zenon_H48 zenon_H3d zenon_H192 zenon_H164 zenon_Hbc zenon_Hbb zenon_H7d zenon_H179 zenon_H212 zenon_H77 zenon_H25e zenon_H20f zenon_Hf5 zenon_H25b zenon_H1b4 zenon_H195 zenon_H4d zenon_Hb6 zenon_H173 zenon_H25 zenon_H13c zenon_Ha0 zenon_H31 zenon_Hb9 zenon_H196.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.92 apply (zenon_L116_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.78/21.92 exact (zenon_H7b zenon_H65).
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.78/21.92 exact (zenon_H1ba zenon_H6d).
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.78/21.92 exact (zenon_H8b zenon_H8a).
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.92 apply (zenon_L252_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.92 apply (zenon_L100_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.92 exact (zenon_H8b zenon_H8a).
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.78/21.92 apply (zenon_L936_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.78/21.92 apply (zenon_L658_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.78/21.92 apply (zenon_L367_); trivial.
% 21.78/21.92 apply (zenon_L674_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.92 apply (zenon_L124_); trivial.
% 21.78/21.92 apply (zenon_L172_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.92 apply (zenon_L933_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.92 apply (zenon_L68_); trivial.
% 21.78/21.92 apply (zenon_L154_); trivial.
% 21.78/21.92 (* end of lemma zenon_L937_ *)
% 21.78/21.92 assert (zenon_L938_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (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 (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((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 (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_Hfa zenon_H1a8 zenon_H196 zenon_Hb9 zenon_Ha0 zenon_H13c zenon_H25 zenon_H173 zenon_Hb6 zenon_H4d zenon_H195 zenon_H1b4 zenon_H25b zenon_Hf5 zenon_H20f zenon_H25e zenon_H77 zenon_H212 zenon_H179 zenon_H7d zenon_Hbb zenon_Hbc zenon_H164 zenon_H192 zenon_H3d zenon_H48 zenon_H12e zenon_H129 zenon_Hc0 zenon_H13a zenon_H19a zenon_H16a zenon_H7b zenon_H156 zenon_He4 zenon_H177 zenon_H67 zenon_H1bb zenon_H1d5 zenon_H1ba zenon_H1cf zenon_H68 zenon_H31 zenon_H186 zenon_H8b zenon_H1cd.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.92 apply (zenon_L171_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.92 apply (zenon_L937_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.92 apply (zenon_L59_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.92 apply (zenon_L214_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.92 apply (zenon_L937_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.92 exact (zenon_H1ba zenon_H6d).
% 21.78/21.92 apply (zenon_L709_); trivial.
% 21.78/21.92 (* end of lemma zenon_L938_ *)
% 21.78/21.92 assert (zenon_L939_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H16a zenon_H7b zenon_Hdd zenon_H68 zenon_H8b zenon_Hf7 zenon_H195.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.78/21.92 exact (zenon_H7b zenon_H65).
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.78/21.92 apply (zenon_L54_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.78/21.92 exact (zenon_H8b zenon_H8a).
% 21.78/21.92 apply (zenon_L228_); trivial.
% 21.78/21.92 (* end of lemma zenon_L939_ *)
% 21.78/21.92 assert (zenon_L940_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H13c zenon_Ha0 zenon_H25 zenon_H167 zenon_Hb6 zenon_H4d zenon_Ha9 zenon_Hf7.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.92 apply (zenon_L116_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.92 apply (zenon_L294_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.92 apply (zenon_L124_); trivial.
% 21.78/21.92 apply (zenon_L299_); trivial.
% 21.78/21.92 (* end of lemma zenon_L940_ *)
% 21.78/21.92 assert (zenon_L941_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e3)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H25e zenon_H136 zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H11f zenon_H117 zenon_Hb6 zenon_H54 zenon_H10c zenon_Hf0 zenon_H14c zenon_Ha0 zenon_H196.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H38 | zenon_intro zenon_H25f ].
% 21.78/21.92 apply (zenon_L663_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H155 | zenon_intro zenon_H260 ].
% 21.78/21.92 apply (zenon_L187_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H9e ].
% 21.78/21.92 apply (zenon_L673_); trivial.
% 21.78/21.92 apply (zenon_L581_); trivial.
% 21.78/21.92 (* end of lemma zenon_L941_ *)
% 21.78/21.92 assert (zenon_L942_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H13a zenon_H155 zenon_H7e zenon_H7d zenon_H16a zenon_H7b zenon_H77 zenon_H8b zenon_H17c zenon_H129 zenon_H4d zenon_H156 zenon_Hb6 zenon_He4 zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.92 apply (zenon_L444_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.92 apply (zenon_L667_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.92 apply (zenon_L178_); trivial.
% 21.78/21.92 apply (zenon_L154_); trivial.
% 21.78/21.92 (* end of lemma zenon_L942_ *)
% 21.78/21.92 assert (zenon_L943_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e2)) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H1bb zenon_Hf7 zenon_Ha9 zenon_H25 zenon_H13c zenon_Ha0 zenon_H14c zenon_Hf0 zenon_H10c zenon_H54 zenon_H117 zenon_H9f zenon_H1b4 zenon_Hf5 zenon_H136 zenon_H25e zenon_H196 zenon_Hb9 zenon_H177 zenon_He4 zenon_Hb6 zenon_H156 zenon_H4d zenon_H129 zenon_H8b zenon_H77 zenon_H7b zenon_H16a zenon_H7d zenon_H7e zenon_H155 zenon_H13a zenon_Hbb zenon_H1cb.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.78/21.92 apply (zenon_L940_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.78/21.92 apply (zenon_L941_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.78/21.92 apply (zenon_L942_); trivial.
% 21.78/21.92 apply (zenon_L622_); trivial.
% 21.78/21.92 (* end of lemma zenon_L943_ *)
% 21.78/21.92 assert (zenon_L944_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (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 (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H1d5 zenon_H67 zenon_H19a zenon_H26d zenon_H196 zenon_H14c zenon_Hf0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H9f zenon_H1b4 zenon_Hf5 zenon_H25e zenon_H1cf zenon_H68 zenon_H31 zenon_Hf7 zenon_H8b zenon_H77 zenon_H212 zenon_H25 zenon_H179 zenon_H7d zenon_Hbb zenon_Hbc zenon_H1bb zenon_Ha9 zenon_H13c zenon_H177 zenon_He4 zenon_H156 zenon_H129 zenon_H7b zenon_H16a zenon_H155 zenon_H13a zenon_H1cb zenon_H12e zenon_Ha0 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H10c zenon_Hb9 zenon_H195.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.92 apply (zenon_L252_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.92 apply (zenon_L438_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.92 exact (zenon_H8b zenon_H8a).
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.78/21.92 apply (zenon_L756_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.78/21.92 apply (zenon_L943_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.78/21.92 apply (zenon_L658_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.78/21.92 apply (zenon_L750_); trivial.
% 21.78/21.92 apply (zenon_L941_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.78/21.92 apply (zenon_L77_); trivial.
% 21.78/21.92 apply (zenon_L684_); trivial.
% 21.78/21.92 (* end of lemma zenon_L944_ *)
% 21.78/21.92 assert (zenon_L945_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_He4 zenon_Hb6 zenon_H156 zenon_H4d zenon_H7b zenon_H1a8 zenon_Ha9 zenon_Hdb zenon_H155 zenon_H31 zenon_H68 zenon_H173 zenon_H16a zenon_H2c zenon_Hf0 zenon_H8b zenon_H16b zenon_H139 zenon_H1ba zenon_H77.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.92 apply (zenon_L55_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.92 apply (zenon_L486_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.92 apply (zenon_L378_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.92 apply (zenon_L110_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.92 apply (zenon_L745_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.92 exact (zenon_H1ba zenon_H6d).
% 21.78/21.92 apply (zenon_L169_); trivial.
% 21.78/21.92 (* end of lemma zenon_L945_ *)
% 21.78/21.92 assert (zenon_L946_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H1bb zenon_H18a zenon_H34 zenon_H1b7 zenon_H7f zenon_H1cb zenon_H160 zenon_Hc0 zenon_H129.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.78/21.92 apply (zenon_L416_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.78/21.92 apply (zenon_L780_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.78/21.92 apply (zenon_L236_); trivial.
% 21.78/21.92 apply (zenon_L190_); trivial.
% 21.78/21.92 (* end of lemma zenon_L946_ *)
% 21.78/21.92 assert (zenon_L947_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (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 (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H12e zenon_H48 zenon_H129 zenon_Hc0 zenon_H1cb zenon_H1b7 zenon_H34 zenon_H18a zenon_H1bb zenon_H160 zenon_H77 zenon_H25e zenon_H136 zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H117 zenon_Hb6 zenon_H54 zenon_H10c zenon_Hf0 zenon_H14c zenon_Ha0 zenon_H196.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.78/21.92 apply (zenon_L456_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.78/21.92 apply (zenon_L946_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.78/21.92 apply (zenon_L367_); trivial.
% 21.78/21.92 apply (zenon_L941_); trivial.
% 21.78/21.92 (* end of lemma zenon_L947_ *)
% 21.78/21.92 assert (zenon_L948_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (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))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H19a zenon_H26d zenon_H31 zenon_H196 zenon_H14c zenon_Hf0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H9f zenon_H1b4 zenon_Hf5 zenon_H25e zenon_H77 zenon_H160 zenon_H1bb zenon_H18a zenon_H34 zenon_H1b7 zenon_H1cb zenon_Hc0 zenon_H129 zenon_H48 zenon_H12e zenon_Ha0 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H10c zenon_Hb9 zenon_H195.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.78/21.92 apply (zenon_L756_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.78/21.92 apply (zenon_L947_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.78/21.92 apply (zenon_L77_); trivial.
% 21.78/21.92 apply (zenon_L684_); trivial.
% 21.78/21.92 (* end of lemma zenon_L948_ *)
% 21.78/21.92 assert (zenon_L949_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (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))))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H1cf zenon_H1d5 zenon_H67 zenon_H4e zenon_H76 zenon_H8b zenon_H19a zenon_H26d zenon_H31 zenon_H196 zenon_H14c zenon_Hf0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H9f zenon_H1b4 zenon_Hf5 zenon_H25e zenon_H77 zenon_H1bb zenon_H18a zenon_H34 zenon_H1b7 zenon_H1cb zenon_Hc0 zenon_H129 zenon_H48 zenon_H12e zenon_Ha0 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H10c zenon_Hb9 zenon_H195.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.92 apply (zenon_L252_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.92 apply (zenon_L83_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.92 exact (zenon_H8b zenon_H8a).
% 21.78/21.92 apply (zenon_L948_); trivial.
% 21.78/21.92 (* end of lemma zenon_L949_ *)
% 21.78/21.92 assert (zenon_L950_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (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))))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H1cf zenon_H68 zenon_Hf7 zenon_H8b zenon_H19a zenon_H26d zenon_H31 zenon_H196 zenon_H14c zenon_Hf0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H9f zenon_H1b4 zenon_Hf5 zenon_H25e zenon_H77 zenon_H1bb zenon_H18a zenon_H34 zenon_H1b7 zenon_H1cb zenon_Hc0 zenon_H129 zenon_H48 zenon_H12e zenon_Ha0 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H10c zenon_Hb9 zenon_H195.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.92 apply (zenon_L264_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.92 apply (zenon_L438_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.92 exact (zenon_H8b zenon_H8a).
% 21.78/21.92 apply (zenon_L948_); trivial.
% 21.78/21.92 (* end of lemma zenon_L950_ *)
% 21.78/21.92 assert (zenon_L951_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (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) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H141 zenon_H7b zenon_H16a zenon_H195 zenon_H10c zenon_H4d zenon_H186 zenon_H20f zenon_H25b zenon_H12e zenon_H48 zenon_H129 zenon_Hc0 zenon_H1cb zenon_H1b7 zenon_H34 zenon_H18a zenon_H1bb zenon_H77 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H117 zenon_Hb6 zenon_H54 zenon_Hf0 zenon_H196 zenon_H31 zenon_H26d zenon_H19a zenon_H8b zenon_Hf7 zenon_H68 zenon_H1cf zenon_Ha0 zenon_Hb9.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.92 apply (zenon_L217_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.92 apply (zenon_L939_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.92 apply (zenon_L950_); trivial.
% 21.78/21.92 apply (zenon_L77_); trivial.
% 21.78/21.92 (* end of lemma zenon_L951_ *)
% 21.78/21.92 assert (zenon_L952_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (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 (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H1cf zenon_H68 zenon_H31 zenon_H4d zenon_H8b zenon_H12e zenon_H48 zenon_H129 zenon_Hc0 zenon_H1cb zenon_H1b7 zenon_H34 zenon_H18a zenon_H1bb zenon_H77 zenon_H25e zenon_H136 zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H117 zenon_Hb6 zenon_H54 zenon_H10c zenon_Hf0 zenon_H14c zenon_Ha0 zenon_H196.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.92 apply (zenon_L264_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.92 apply (zenon_L59_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.92 exact (zenon_H8b zenon_H8a).
% 21.78/21.92 apply (zenon_L947_); trivial.
% 21.78/21.92 (* end of lemma zenon_L952_ *)
% 21.78/21.92 assert (zenon_L953_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (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) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H13b zenon_H179 zenon_Ha9 zenon_Hbb zenon_H163 zenon_H186 zenon_H20f zenon_H25b zenon_H26d zenon_H19a zenon_H1d5 zenon_H67 zenon_H4e zenon_Hfa zenon_H13c zenon_H24 zenon_Ha0 zenon_H1cf zenon_H68 zenon_H31 zenon_H8b zenon_H12e zenon_H48 zenon_H129 zenon_Hc0 zenon_H1cb zenon_H1b7 zenon_H34 zenon_H18a zenon_H1bb zenon_H77 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H117 zenon_H54 zenon_Hf0 zenon_H196 zenon_H16a zenon_H7b zenon_H16b zenon_H109 zenon_H141 zenon_Hb6 zenon_H4d zenon_Hb9 zenon_H195.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.78/21.92 apply (zenon_L297_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.78/21.92 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.92 apply (zenon_L900_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.92 apply (zenon_L217_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.92 apply (zenon_L929_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.92 apply (zenon_L949_); trivial.
% 21.78/21.92 apply (zenon_L77_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.92 apply (zenon_L124_); trivial.
% 21.78/21.92 apply (zenon_L172_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.92 apply (zenon_L779_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.92 apply (zenon_L59_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.92 apply (zenon_L900_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.92 apply (zenon_L951_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.92 apply (zenon_L617_); trivial.
% 21.78/21.92 apply (zenon_L299_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.78/21.92 apply (zenon_L117_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.92 apply (zenon_L900_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.92 apply (zenon_L359_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.92 apply (zenon_L682_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.92 apply (zenon_L952_); trivial.
% 21.78/21.92 apply (zenon_L77_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.92 apply (zenon_L124_); trivial.
% 21.78/21.92 apply (zenon_L172_); trivial.
% 21.78/21.92 (* end of lemma zenon_L953_ *)
% 21.78/21.92 assert (zenon_L954_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> False).
% 21.78/21.92 do 0 intro. intros zenon_H1fe zenon_H7d zenon_H212 zenon_Hbc zenon_H164 zenon_H192 zenon_H1cd zenon_H73 zenon_H131 zenon_H13f zenon_H15d zenon_H82 zenon_Hb6 zenon_Hbb zenon_H177 zenon_He4 zenon_H156 zenon_H4d zenon_H7b zenon_H1a8 zenon_Ha9 zenon_H31 zenon_H68 zenon_H173 zenon_H16a zenon_H2c zenon_Hf0 zenon_H8b zenon_H16b zenon_H139 zenon_H1ba zenon_H77 zenon_H13b zenon_H179 zenon_H163 zenon_H186 zenon_H20f zenon_H25b zenon_H26d zenon_H19a zenon_H1d5 zenon_H67 zenon_H4e zenon_Hfa zenon_H13c zenon_H24 zenon_Ha0 zenon_H1cf zenon_H12e zenon_H129 zenon_Hc0 zenon_H1cb zenon_H1b7 zenon_H18a zenon_H1bb zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H117 zenon_H196 zenon_H109 zenon_H141 zenon_Hb9 zenon_H195 zenon_H13a zenon_H48.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/21.92 apply (zenon_L20_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.92 apply (zenon_L934_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.92 apply (zenon_L938_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.92 apply (zenon_L184_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.92 apply (zenon_L934_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.92 apply (zenon_L25_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.92 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.92 apply (zenon_L171_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.92 apply (zenon_L779_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.92 apply (zenon_L59_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.92 apply (zenon_L900_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.92 apply (zenon_L217_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.92 apply (zenon_L939_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.92 apply (zenon_L944_); trivial.
% 21.78/21.92 apply (zenon_L77_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.92 apply (zenon_L124_); trivial.
% 21.78/21.92 apply (zenon_L299_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.92 apply (zenon_L945_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.92 apply (zenon_L178_); trivial.
% 21.78/21.92 apply (zenon_L115_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.92 apply (zenon_L938_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.92 apply (zenon_L486_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.92 apply (zenon_L378_); trivial.
% 21.78/21.92 apply (zenon_L31_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.78/21.92 apply (zenon_L217_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.78/21.92 apply (zenon_L378_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.78/21.92 apply (zenon_L128_); trivial.
% 21.78/21.92 apply (zenon_L182_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.92 apply (zenon_L251_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.92 apply (zenon_L251_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.92 apply (zenon_L14_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.92 apply (zenon_L953_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.92 apply (zenon_L55_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.92 apply (zenon_L68_); trivial.
% 21.78/21.92 apply (zenon_L154_); trivial.
% 21.78/21.92 apply (zenon_L456_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.92 apply (zenon_L239_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.92 apply (zenon_L744_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.92 apply (zenon_L14_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.92 apply (zenon_L953_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.92 apply (zenon_L945_); trivial.
% 21.78/21.92 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.92 apply (zenon_L178_); trivial.
% 21.78/21.92 apply (zenon_L115_); trivial.
% 21.78/21.92 apply (zenon_L456_); trivial.
% 21.78/21.92 (* end of lemma zenon_L954_ *)
% 21.78/21.92 assert (zenon_L955_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e0) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.78/21.93 do 0 intro. intros zenon_H164 zenon_H155 zenon_H160 zenon_H18a zenon_H1b7 zenon_H1cf zenon_H271 zenon_H1d8 zenon_H139 zenon_H111 zenon_Hbc zenon_H1cd zenon_Hcc zenon_H270 zenon_H1a2 zenon_H191 zenon_H1cb zenon_H48 zenon_H12e zenon_H129 zenon_Hc0 zenon_H13a zenon_H68 zenon_Ha0 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H25b zenon_H186 zenon_H20f zenon_H195 zenon_H19a zenon_H7d zenon_H16a zenon_H7b zenon_H77 zenon_H8b zenon_H4d zenon_H156 zenon_Hb6 zenon_He4 zenon_Hbb zenon_Hb9 zenon_H196 zenon_Hef zenon_H1bb zenon_H31 zenon_H177 zenon_H67 zenon_H7e.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.78/21.93 apply (zenon_L795_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.78/21.93 apply (zenon_L669_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.78/21.93 apply (zenon_L406_); trivial.
% 21.78/21.93 apply (zenon_L547_); trivial.
% 21.78/21.93 (* end of lemma zenon_L955_ *)
% 21.78/21.93 assert (zenon_L956_ : (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((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)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((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)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (((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)) = (op (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 (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.93 do 0 intro. intros zenon_H1ba zenon_H1d5 zenon_H67 zenon_H177 zenon_H31 zenon_H1bb zenon_Hef zenon_He4 zenon_Hb6 zenon_H156 zenon_H4d zenon_H8b zenon_H7b zenon_H16a zenon_H19a zenon_H186 zenon_Ha0 zenon_H68 zenon_H13a zenon_Hc0 zenon_H129 zenon_H12e zenon_H48 zenon_H1cb zenon_H191 zenon_H1a2 zenon_H270 zenon_Hcc zenon_H1cd zenon_H111 zenon_H139 zenon_H1d8 zenon_H271 zenon_H1cf zenon_H1b7 zenon_H18a zenon_H155 zenon_H164 zenon_Hbc zenon_Hbb zenon_H7d zenon_H179 zenon_H25 zenon_H212 zenon_H77 zenon_H25e zenon_H195 zenon_H20f zenon_Hf5 zenon_H25b zenon_H1b4 zenon_H9f zenon_Hb9 zenon_H196.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.78/21.93 exact (zenon_H7b zenon_H65).
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.78/21.93 exact (zenon_H1ba zenon_H6d).
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.78/21.93 exact (zenon_H8b zenon_H8a).
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.93 apply (zenon_L252_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.93 apply (zenon_L59_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.93 exact (zenon_H8b zenon_H8a).
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.78/21.93 apply (zenon_L955_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.78/21.93 apply (zenon_L658_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.78/21.93 apply (zenon_L367_); trivial.
% 21.78/21.93 apply (zenon_L674_); trivial.
% 21.78/21.93 (* end of lemma zenon_L956_ *)
% 21.78/21.93 assert (zenon_L957_ : (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((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)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.78/21.93 do 0 intro. intros zenon_Hb6 zenon_Ha0 zenon_H13c zenon_H25 zenon_H4d zenon_Hb9 zenon_H195 zenon_H1ba zenon_H1d5 zenon_H177 zenon_H1bb zenon_He4 zenon_H156 zenon_H8b zenon_H7b zenon_H16a zenon_H19a zenon_H186 zenon_H13a zenon_Hc0 zenon_H129 zenon_H12e zenon_H48 zenon_H1cb zenon_H191 zenon_H1a2 zenon_H270 zenon_Hcc zenon_H1cd zenon_H111 zenon_H139 zenon_H1d8 zenon_H271 zenon_H1cf zenon_H1b7 zenon_H18a zenon_H164 zenon_Hbc zenon_Hbb zenon_H7d zenon_H179 zenon_H212 zenon_H25e zenon_H20f zenon_Hf5 zenon_H25b zenon_H1b4 zenon_H196 zenon_Hef zenon_H173 zenon_H68 zenon_H31 zenon_H155 zenon_H77.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.93 apply (zenon_L956_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.93 apply (zenon_L933_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.93 apply (zenon_L68_); trivial.
% 21.78/21.93 apply (zenon_L115_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.93 apply (zenon_L226_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.93 apply (zenon_L264_); trivial.
% 21.78/21.93 apply (zenon_L98_); trivial.
% 21.78/21.93 (* end of lemma zenon_L957_ *)
% 21.78/21.93 assert (zenon_L958_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> (((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)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (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))))) -> (~((e0) = (e2))) -> (((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))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.78/21.93 do 0 intro. intros zenon_H1bb zenon_H14c zenon_Hf0 zenon_H10c zenon_H54 zenon_H117 zenon_H9f zenon_H136 zenon_H196 zenon_Hb9 zenon_Hbb zenon_H177 zenon_He4 zenon_H156 zenon_H129 zenon_H8b zenon_H77 zenon_H7b zenon_H16a zenon_H7d zenon_H7e zenon_H19a zenon_H195 zenon_H20f zenon_H186 zenon_H25b zenon_H1b4 zenon_Hf5 zenon_H25e zenon_H68 zenon_H13a zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H4d zenon_H191 zenon_H1cb.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.78/21.93 apply (zenon_L421_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.78/21.93 apply (zenon_L941_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.78/21.93 apply (zenon_L668_); trivial.
% 21.78/21.93 apply (zenon_L762_); trivial.
% 21.78/21.93 (* end of lemma zenon_L958_ *)
% 21.78/21.93 assert (zenon_L959_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e0)) = (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 (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((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 (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.93 do 0 intro. intros zenon_H1d5 zenon_H67 zenon_H26d zenon_H196 zenon_H14c zenon_H9f zenon_H1b4 zenon_Hf5 zenon_H25e zenon_H1cf zenon_H68 zenon_H31 zenon_Hf7 zenon_H8b zenon_H77 zenon_H212 zenon_H25 zenon_H179 zenon_H7d zenon_Hbb zenon_Hbc zenon_H1bb zenon_H177 zenon_He4 zenon_H156 zenon_H129 zenon_H7b zenon_H16a zenon_H19a zenon_H13a zenon_H1a2 zenon_H1cb zenon_H12e zenon_Ha0 zenon_H191 zenon_Hf0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H10c zenon_Hb9 zenon_H195.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.93 apply (zenon_L252_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.93 apply (zenon_L438_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.93 exact (zenon_H8b zenon_H8a).
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.78/21.93 apply (zenon_L756_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.78/21.93 apply (zenon_L958_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.78/21.93 apply (zenon_L658_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.78/21.93 apply (zenon_L750_); trivial.
% 21.78/21.93 apply (zenon_L941_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.78/21.93 apply (zenon_L648_); trivial.
% 21.78/21.93 apply (zenon_L684_); trivial.
% 21.78/21.93 (* end of lemma zenon_L959_ *)
% 21.78/21.93 assert (zenon_L960_ : (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.93 do 0 intro. intros zenon_H1ba zenon_H164 zenon_H9f zenon_H192 zenon_H3d zenon_H48 zenon_H12e zenon_H31 zenon_H1cf zenon_H129 zenon_Hc0 zenon_H13a zenon_H68 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H19a zenon_H7e zenon_H7d zenon_H16a zenon_H7b zenon_H77 zenon_H8b zenon_H156 zenon_Hb6 zenon_He4 zenon_H177 zenon_H196 zenon_Hef zenon_H67 zenon_H1bb zenon_Hbb zenon_Ha0 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H10c zenon_Hb9 zenon_H195.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.78/21.93 exact (zenon_H7b zenon_H65).
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.78/21.93 exact (zenon_H1ba zenon_H6d).
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.78/21.93 exact (zenon_H8b zenon_H8a).
% 21.78/21.93 apply (zenon_L936_); trivial.
% 21.78/21.93 (* end of lemma zenon_L960_ *)
% 21.78/21.93 assert (zenon_L961_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.93 do 0 intro. intros zenon_H13c zenon_H25 zenon_H4d zenon_H186 zenon_H20f zenon_H25b zenon_Ha0 zenon_H1bb zenon_H67 zenon_Hef zenon_H196 zenon_H177 zenon_He4 zenon_Hb6 zenon_H156 zenon_H8b zenon_H77 zenon_H7b zenon_H16a zenon_H7d zenon_H7e zenon_H19a zenon_H1b4 zenon_Hf5 zenon_H25e zenon_H68 zenon_H13a zenon_Hc0 zenon_H129 zenon_H1cf zenon_H31 zenon_H12e zenon_H48 zenon_H3d zenon_H192 zenon_H9f zenon_H164 zenon_H1ba zenon_H163 zenon_Hbb zenon_Hb9 zenon_H195.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.93 apply (zenon_L116_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.93 apply (zenon_L960_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.93 apply (zenon_L617_); trivial.
% 21.78/21.93 apply (zenon_L172_); trivial.
% 21.78/21.93 (* end of lemma zenon_L961_ *)
% 21.78/21.93 assert (zenon_L962_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((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)) = (op (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 (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.93 do 0 intro. intros zenon_H16a zenon_H7b zenon_Hf0 zenon_H1cf zenon_H68 zenon_H31 zenon_H156 zenon_Hef zenon_H8b zenon_H12e zenon_H48 zenon_H34 zenon_H3d zenon_H192 zenon_H77 zenon_H25e zenon_H195 zenon_H20f zenon_Hf5 zenon_H25b zenon_H1b4 zenon_H9f zenon_Hb9 zenon_H196.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.78/21.93 exact (zenon_H7b zenon_H65).
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.78/21.93 apply (zenon_L61_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.78/21.93 exact (zenon_H8b zenon_H8a).
% 21.78/21.93 apply (zenon_L935_); trivial.
% 21.78/21.93 (* end of lemma zenon_L962_ *)
% 21.78/21.93 assert (zenon_L963_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((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)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (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 (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.93 do 0 intro. intros zenon_H12e zenon_H48 zenon_H1cb zenon_H191 zenon_H4d zenon_H31 zenon_H1a2 zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H139 zenon_H1d8 zenon_H271 zenon_H68 zenon_H1cf zenon_H1b7 zenon_H34 zenon_H18a zenon_H1bb zenon_H160 zenon_H77 zenon_H25e zenon_H136 zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H117 zenon_Hb6 zenon_H54 zenon_H10c zenon_Hf0 zenon_H14c zenon_Ha0 zenon_H196.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.78/21.93 apply (zenon_L456_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.78/21.93 apply (zenon_L794_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.78/21.93 apply (zenon_L367_); trivial.
% 21.78/21.93 apply (zenon_L941_); trivial.
% 21.78/21.93 (* end of lemma zenon_L963_ *)
% 21.78/21.93 assert (zenon_L964_ : ((op (e1) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> False).
% 21.78/21.93 do 0 intro. intros zenon_He7 zenon_H171 zenon_H11f.
% 21.78/21.93 apply (zenon_notand_s _ _ ax7); [ zenon_intro zenon_H273 | zenon_intro zenon_H272 ].
% 21.78/21.93 elim (classic ((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ].
% 21.78/21.93 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3)))) = ((e0) = (op (op (e3) (e3)) (op (e3) (e3))))).
% 21.78/21.93 intro zenon_D_pnotp.
% 21.78/21.93 apply zenon_H273.
% 21.78/21.93 rewrite <- zenon_D_pnotp.
% 21.78/21.93 exact zenon_H24a.
% 21.78/21.93 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24b].
% 21.78/21.93 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H274].
% 21.78/21.93 congruence.
% 21.78/21.93 cut (((op (e1) (e1)) = (e0)) = ((op (op (e3) (e3)) (op (e3) (e3))) = (e0))).
% 21.78/21.93 intro zenon_D_pnotp.
% 21.78/21.93 apply zenon_H274.
% 21.78/21.93 rewrite <- zenon_D_pnotp.
% 21.78/21.93 exact zenon_He7.
% 21.78/21.93 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.78/21.93 cut (((op (e1) (e1)) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H259].
% 21.78/21.93 congruence.
% 21.78/21.93 elim (classic ((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ].
% 21.78/21.93 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3)))) = ((op (e1) (e1)) = (op (op (e3) (e3)) (op (e3) (e3))))).
% 21.78/21.93 intro zenon_D_pnotp.
% 21.78/21.93 apply zenon_H259.
% 21.78/21.93 rewrite <- zenon_D_pnotp.
% 21.78/21.93 exact zenon_H24a.
% 21.78/21.93 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24b].
% 21.78/21.93 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H253].
% 21.78/21.93 congruence.
% 21.78/21.93 apply (zenon_L659_); trivial.
% 21.78/21.93 apply zenon_H24b. apply refl_equal.
% 21.78/21.93 apply zenon_H24b. apply refl_equal.
% 21.78/21.93 apply zenon_H46. apply refl_equal.
% 21.78/21.93 apply zenon_H24b. apply refl_equal.
% 21.78/21.93 apply zenon_H24b. apply refl_equal.
% 21.78/21.93 apply (zenon_notand_s _ _ zenon_H272); [ zenon_intro zenon_H25a | zenon_intro zenon_H275 ].
% 21.78/21.93 apply zenon_H25a. apply sym_equal. exact zenon_H11f.
% 21.78/21.93 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H244 | zenon_intro zenon_H245 ].
% 21.78/21.93 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e2) = (op (e3) (op (e3) (e3))))).
% 21.78/21.93 intro zenon_D_pnotp.
% 21.78/21.93 apply zenon_H275.
% 21.78/21.93 rewrite <- zenon_D_pnotp.
% 21.78/21.93 exact zenon_H244.
% 21.78/21.93 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H245].
% 21.78/21.93 cut (((op (e3) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H276].
% 21.78/21.93 congruence.
% 21.78/21.93 cut (((op (e3) (e1)) = (e2)) = ((op (e3) (op (e3) (e3))) = (e2))).
% 21.78/21.93 intro zenon_D_pnotp.
% 21.78/21.93 apply zenon_H276.
% 21.78/21.93 rewrite <- zenon_D_pnotp.
% 21.78/21.93 exact zenon_H171.
% 21.78/21.93 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 21.78/21.93 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H257].
% 21.78/21.93 congruence.
% 21.78/21.93 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H244 | zenon_intro zenon_H245 ].
% 21.78/21.93 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))).
% 21.78/21.93 intro zenon_D_pnotp.
% 21.78/21.93 apply zenon_H257.
% 21.78/21.93 rewrite <- zenon_D_pnotp.
% 21.78/21.93 exact zenon_H244.
% 21.78/21.93 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H245].
% 21.78/21.93 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H254].
% 21.78/21.93 congruence.
% 21.78/21.93 apply (zenon_L660_); trivial.
% 21.78/21.93 apply zenon_H245. apply refl_equal.
% 21.78/21.93 apply zenon_H245. apply refl_equal.
% 21.78/21.93 apply zenon_H6a. apply refl_equal.
% 21.78/21.93 apply zenon_H245. apply refl_equal.
% 21.78/21.93 apply zenon_H245. apply refl_equal.
% 21.78/21.93 (* end of lemma zenon_L964_ *)
% 21.78/21.93 assert (zenon_L965_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> False).
% 21.78/21.93 do 0 intro. intros zenon_H12e zenon_H48 zenon_H34 zenon_H3d zenon_H192 zenon_H4d zenon_H163 zenon_He7 zenon_H171.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.78/21.93 apply (zenon_L456_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.78/21.93 apply (zenon_L146_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.78/21.93 apply (zenon_L285_); trivial.
% 21.78/21.93 apply (zenon_L964_); trivial.
% 21.78/21.93 (* end of lemma zenon_L965_ *)
% 21.78/21.93 assert (zenon_L966_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((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)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (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) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e0)) -> False).
% 21.78/21.93 do 0 intro. intros zenon_H1a8 zenon_H156 zenon_H7b zenon_H16a zenon_H195 zenon_Hb9 zenon_Hb6 zenon_H141 zenon_H131 zenon_H1ef zenon_H13e zenon_H186 zenon_H20f zenon_H25b zenon_H1cb zenon_H31 zenon_H1a2 zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H139 zenon_H1d8 zenon_H271 zenon_H68 zenon_H1cf zenon_H1b7 zenon_H18a zenon_H1bb zenon_H77 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H196 zenon_H26d zenon_H19a zenon_H8b zenon_H76 zenon_H4e zenon_H67 zenon_H1d5 zenon_H117 zenon_H54 zenon_Hf0 zenon_H191 zenon_Ha0 zenon_H24 zenon_H13c zenon_H12e zenon_H48 zenon_H34 zenon_H3d zenon_H192 zenon_H4d zenon_H163 zenon_He7.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.93 apply (zenon_L214_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.93 apply (zenon_L962_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.93 apply (zenon_L900_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.93 apply (zenon_L755_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.93 apply (zenon_L54_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.93 apply (zenon_L252_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.93 apply (zenon_L83_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.93 exact (zenon_H8b zenon_H8a).
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.78/21.93 apply (zenon_L756_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.78/21.93 apply (zenon_L963_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.78/21.93 apply (zenon_L77_); trivial.
% 21.78/21.93 apply (zenon_L684_); trivial.
% 21.78/21.93 apply (zenon_L648_); trivial.
% 21.78/21.93 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.93 apply (zenon_L124_); trivial.
% 21.78/21.93 apply (zenon_L172_); trivial.
% 21.78/21.93 apply (zenon_L965_); trivial.
% 21.78/21.93 (* end of lemma zenon_L966_ *)
% 21.78/21.93 assert (zenon_L967_ : (((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)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (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) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.78/21.94 do 0 intro. intros zenon_H1a8 zenon_H192 zenon_H3d zenon_H156 zenon_H7b zenon_H16a zenon_Ha9 zenon_H4d zenon_Hb6 zenon_H141 zenon_H195 zenon_H20f zenon_H25b zenon_H12e zenon_H48 zenon_H129 zenon_Hc0 zenon_H1cb zenon_H1b7 zenon_H34 zenon_H18a zenon_H1bb zenon_H77 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H117 zenon_H54 zenon_Hf0 zenon_H196 zenon_H26d zenon_H19a zenon_Ha0 zenon_Hb9 zenon_H24 zenon_H13c zenon_H1cf zenon_H68 zenon_H31 zenon_Hf7 zenon_H186 zenon_H8b zenon_H1cd.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.94 apply (zenon_L214_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.94 apply (zenon_L962_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.94 apply (zenon_L900_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.94 apply (zenon_L217_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.94 apply (zenon_L54_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.94 apply (zenon_L950_); trivial.
% 21.78/21.94 apply (zenon_L77_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.94 apply (zenon_L124_); trivial.
% 21.78/21.94 apply (zenon_L299_); trivial.
% 21.78/21.94 apply (zenon_L709_); trivial.
% 21.78/21.94 (* end of lemma zenon_L967_ *)
% 21.78/21.94 assert (zenon_L968_ : (((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e0)) -> False).
% 21.78/21.94 do 0 intro. intros zenon_H1a8 zenon_H25b zenon_H20f zenon_H156 zenon_H7b zenon_H16a zenon_H195 zenon_Hb9 zenon_Hb6 zenon_H141 zenon_H131 zenon_H1ef zenon_H13e zenon_H196 zenon_Hf0 zenon_H54 zenon_H117 zenon_H9f zenon_H1b4 zenon_Hf5 zenon_H136 zenon_H25e zenon_H77 zenon_H1bb zenon_H18a zenon_H1b7 zenon_H1cf zenon_H68 zenon_H271 zenon_H1d8 zenon_H139 zenon_H111 zenon_Hbc zenon_H1cd zenon_Hcc zenon_H270 zenon_H1a2 zenon_H31 zenon_H191 zenon_H1cb zenon_H8b zenon_Ha0 zenon_H24 zenon_H13c zenon_H12e zenon_H48 zenon_H34 zenon_H3d zenon_H192 zenon_H4d zenon_H163 zenon_He7.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.94 apply (zenon_L214_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.94 apply (zenon_L962_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.94 apply (zenon_L900_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.94 apply (zenon_L755_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.94 apply (zenon_L54_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.94 apply (zenon_L264_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.94 apply (zenon_L59_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.94 exact (zenon_H8b zenon_H8a).
% 21.78/21.94 apply (zenon_L963_); trivial.
% 21.78/21.94 apply (zenon_L77_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.94 apply (zenon_L124_); trivial.
% 21.78/21.94 apply (zenon_L172_); trivial.
% 21.78/21.94 apply (zenon_L965_); trivial.
% 21.78/21.94 (* end of lemma zenon_L968_ *)
% 21.78/21.94 assert (zenon_L969_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((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)) = (op (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 (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.94 do 0 intro. intros zenon_H16a zenon_H7b zenon_Hdd zenon_H1cf zenon_H68 zenon_H31 zenon_H4e zenon_H76 zenon_H8b zenon_H12e zenon_H48 zenon_H34 zenon_H3d zenon_H192 zenon_H77 zenon_H25e zenon_H195 zenon_H20f zenon_Hf5 zenon_H25b zenon_H1b4 zenon_H9f zenon_Hb9 zenon_H196.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.78/21.94 exact (zenon_H7b zenon_H65).
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.78/21.94 apply (zenon_L54_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.78/21.94 exact (zenon_H8b zenon_H8a).
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.94 apply (zenon_L264_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.94 apply (zenon_L83_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.94 exact (zenon_H8b zenon_H8a).
% 21.78/21.94 apply (zenon_L820_); trivial.
% 21.78/21.94 (* end of lemma zenon_L969_ *)
% 21.78/21.94 assert (zenon_L970_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.78/21.94 do 0 intro. intros zenon_He4 zenon_H196 zenon_Hb9 zenon_H9f zenon_H25b zenon_Hf5 zenon_H20f zenon_H195 zenon_H25e zenon_H192 zenon_H12e zenon_H8b zenon_Hef zenon_Hf0 zenon_H7b zenon_H16a zenon_H156 zenon_Hdd zenon_H48 zenon_H1bb zenon_H18a zenon_H34 zenon_H1b7 zenon_H1cf zenon_H77 zenon_H68 zenon_H271 zenon_H1d8 zenon_H139 zenon_H1b4 zenon_H111 zenon_Hbc zenon_H1cd zenon_Hcc zenon_H270 zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H4d zenon_H191 zenon_H1cb.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.94 apply (zenon_L962_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.94 apply (zenon_L486_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.94 apply (zenon_L111_); trivial.
% 21.78/21.94 apply (zenon_L794_); trivial.
% 21.78/21.94 (* end of lemma zenon_L970_ *)
% 21.78/21.94 assert (zenon_L971_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (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 (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (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 (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 21.78/21.94 do 0 intro. intros zenon_H13b zenon_H179 zenon_H1d5 zenon_H67 zenon_He2 zenon_H55 zenon_H131 zenon_H1ef zenon_H13e zenon_H163 zenon_H1cb zenon_H191 zenon_H4d zenon_Hb6 zenon_H31 zenon_Ha0 zenon_H1a2 zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H1b4 zenon_H139 zenon_H1d8 zenon_H271 zenon_H68 zenon_H77 zenon_H1cf zenon_H1b7 zenon_H18a zenon_H1bb zenon_H48 zenon_H156 zenon_Hfa zenon_H4e zenon_He4 zenon_H1a8 zenon_H192 zenon_H7b zenon_H16a zenon_Ha9 zenon_H141 zenon_H195 zenon_H20f zenon_H25b zenon_H12e zenon_H129 zenon_Hc0 zenon_H25e zenon_Hf5 zenon_H9f zenon_H117 zenon_H54 zenon_Hf0 zenon_H196 zenon_H26d zenon_H19a zenon_Hb9 zenon_H24 zenon_H13c zenon_H186 zenon_H8b zenon_H7d zenon_H34.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.78/21.94 apply (zenon_L297_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.94 apply (zenon_L966_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.94 apply (zenon_L962_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.94 apply (zenon_L59_); trivial.
% 21.78/21.94 apply (zenon_L967_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.94 apply (zenon_L486_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.94 apply (zenon_L15_); trivial.
% 21.78/21.94 apply (zenon_L794_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.78/21.94 apply (zenon_L117_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.78/21.94 apply (zenon_L254_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.94 apply (zenon_L968_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.94 apply (zenon_L486_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.94 apply (zenon_L15_); trivial.
% 21.78/21.94 apply (zenon_L794_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.94 apply (zenon_L969_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.94 apply (zenon_L970_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.94 apply (zenon_L59_); trivial.
% 21.78/21.94 apply (zenon_L967_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.94 apply (zenon_L486_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.94 apply (zenon_L111_); trivial.
% 21.78/21.94 apply (zenon_L794_); trivial.
% 21.78/21.94 apply (zenon_L802_); trivial.
% 21.78/21.94 (* end of lemma zenon_L971_ *)
% 21.78/21.94 assert (zenon_L972_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.78/21.94 do 0 intro. intros zenon_He4 zenon_Hdb zenon_H156 zenon_H55 zenon_H54 zenon_H1bb zenon_H18a zenon_H34 zenon_H1b7 zenon_H1cf zenon_H77 zenon_H68 zenon_H271 zenon_H1d8 zenon_H139 zenon_H1b4 zenon_H111 zenon_Hbc zenon_H1cd zenon_Hcc zenon_H270 zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H4d zenon_H191 zenon_H1cb.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.94 apply (zenon_L55_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.94 apply (zenon_L486_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.94 apply (zenon_L15_); trivial.
% 21.78/21.94 apply (zenon_L794_); trivial.
% 21.78/21.94 (* end of lemma zenon_L972_ *)
% 21.78/21.94 assert (zenon_L973_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> False).
% 21.78/21.94 do 0 intro. intros zenon_H92 zenon_H1ef zenon_H131 zenon_H4d zenon_H13e zenon_H68 zenon_H2d zenon_Hf0 zenon_Hef zenon_H8b zenon_H16a.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.78/21.94 apply (zenon_L717_); trivial.
% 21.78/21.94 apply (zenon_L755_); trivial.
% 21.78/21.94 (* end of lemma zenon_L973_ *)
% 21.78/21.94 assert (zenon_L974_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> False).
% 21.78/21.94 do 0 intro. intros zenon_H2f zenon_H1ef zenon_H131 zenon_H4d zenon_H13e zenon_H68 zenon_Hf0 zenon_Hef zenon_H8b zenon_H16a.
% 21.78/21.94 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 21.78/21.94 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 21.78/21.94 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.78/21.94 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.78/21.94 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.78/21.94 apply (zenon_L973_); trivial.
% 21.78/21.94 (* end of lemma zenon_L974_ *)
% 21.78/21.94 assert (zenon_L975_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.94 do 0 intro. intros zenon_H139 zenon_H77 zenon_H47 zenon_Hef zenon_H173 zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.94 apply (zenon_L251_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.94 apply (zenon_L226_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.94 apply (zenon_L122_); trivial.
% 21.78/21.94 apply (zenon_L167_); trivial.
% 21.78/21.94 (* end of lemma zenon_L975_ *)
% 21.78/21.94 assert (zenon_L976_ : (((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)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.94 do 0 intro. intros zenon_Hfa zenon_H68 zenon_H25 zenon_H6e zenon_H173 zenon_H77 zenon_H4d zenon_H93 zenon_H195.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.94 apply (zenon_L171_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.94 apply (zenon_L226_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.94 apply (zenon_L59_); trivial.
% 21.78/21.94 apply (zenon_L228_); trivial.
% 21.78/21.94 (* end of lemma zenon_L976_ *)
% 21.78/21.94 assert (zenon_L977_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.78/21.94 do 0 intro. intros zenon_H139 zenon_H7e zenon_H177 zenon_H19a zenon_H1b4 zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H181 zenon_H120 zenon_H20f zenon_H1bb zenon_H93 zenon_H164 zenon_Hef zenon_H173 zenon_H68 zenon_H31 zenon_H155 zenon_H77.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.94 apply (zenon_L864_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.94 apply (zenon_L226_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.94 apply (zenon_L264_); trivial.
% 21.78/21.94 apply (zenon_L98_); trivial.
% 21.78/21.94 (* end of lemma zenon_L977_ *)
% 21.78/21.94 assert (zenon_L978_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.78/21.94 do 0 intro. intros zenon_H1fe zenon_He4 zenon_H156 zenon_H24e zenon_H141 zenon_H2c zenon_H1a2 zenon_H55 zenon_Hfa zenon_H195 zenon_H179 zenon_H1b7 zenon_H73 zenon_H31 zenon_H68 zenon_H173 zenon_Hef zenon_H164 zenon_H20f zenon_H181 zenon_H18d zenon_H1b4 zenon_H19a zenon_H177 zenon_H139 zenon_H4d zenon_H4e zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H13a zenon_H196 zenon_H82 zenon_H1cd zenon_H189 zenon_H1a8 zenon_H15d zenon_H12e zenon_H48 zenon_Hc4 zenon_H93 zenon_H129 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1bb zenon_H160 zenon_H77 zenon_H120.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/21.94 apply (zenon_L859_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.94 apply (zenon_L975_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.94 apply (zenon_L559_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.94 apply (zenon_L214_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.94 apply (zenon_L264_); trivial.
% 21.78/21.94 apply (zenon_L167_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.94 apply (zenon_L184_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.94 apply (zenon_L559_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.94 apply (zenon_L976_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.94 apply (zenon_L122_); trivial.
% 21.78/21.94 apply (zenon_L98_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.94 apply (zenon_L975_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.94 apply (zenon_L975_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.94 apply (zenon_L14_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.94 apply (zenon_L217_); trivial.
% 21.78/21.94 apply (zenon_L866_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.94 apply (zenon_L239_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.94 apply (zenon_L888_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.94 apply (zenon_L14_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.94 apply (zenon_L217_); trivial.
% 21.78/21.94 apply (zenon_L977_); trivial.
% 21.78/21.94 apply (zenon_L528_); trivial.
% 21.78/21.94 (* end of lemma zenon_L978_ *)
% 21.78/21.94 assert (zenon_L979_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((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)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 21.78/21.94 do 0 intro. intros zenon_Hc2 zenon_H82 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H141 zenon_H2c zenon_H15d zenon_H24e zenon_H1cd zenon_H1b7 zenon_H1b4 zenon_H181 zenon_H1a2 zenon_H68 zenon_He4 zenon_H212 zenon_H209 zenon_H160 zenon_Hbc zenon_H7d zenon_H18a zenon_H120 zenon_H129 zenon_H93 zenon_H1bb zenon_H55 zenon_H156 zenon_H77 zenon_H177 zenon_H196 zenon_H139 zenon_H4d zenon_H4e zenon_H48 zenon_Hfa zenon_H195 zenon_H73 zenon_H164 zenon_H12e zenon_H18d zenon_H20f zenon_H19a zenon_H179 zenon_H173 zenon_Hef zenon_Ha9 zenon_H13a zenon_H189 zenon_H1a8 zenon_H1fe.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.78/21.94 apply (zenon_L978_); trivial.
% 21.78/21.94 apply (zenon_L978_); trivial.
% 21.78/21.94 (* end of lemma zenon_L979_ *)
% 21.78/21.94 assert (zenon_L980_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.78/21.94 do 0 intro. intros zenon_H1fe zenon_Hbc zenon_H179 zenon_H212 zenon_H121 zenon_H33 zenon_H104 zenon_H1a2 zenon_H55 zenon_H156 zenon_H117 zenon_Hf0 zenon_H164 zenon_H1b4 zenon_H25b zenon_Hf5 zenon_H20f zenon_H25e zenon_H195 zenon_H12e zenon_H192 zenon_H163 zenon_Hfa zenon_H131 zenon_H13f zenon_H141 zenon_He4 zenon_H68 zenon_H19a zenon_H13c zenon_H73 zenon_H94 zenon_H125 zenon_Hb2 zenon_H1c6 zenon_H1c3 zenon_H129 zenon_H18d zenon_H18a zenon_H48 zenon_H4d zenon_H4e zenon_H139 zenon_H77 zenon_Hb6 zenon_H31 zenon_Ha0 zenon_Ha9 zenon_H13a zenon_H177 zenon_H93 zenon_H196 zenon_H82 zenon_Hef zenon_H173 zenon_H15d zenon_H1bb zenon_H162 zenon_H1c7 zenon_H160 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H181 zenon_Hc4.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/21.94 apply (zenon_L913_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.94 apply (zenon_L541_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.94 apply (zenon_L541_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.94 apply (zenon_L14_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.94 apply (zenon_L914_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.94 apply (zenon_L55_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.94 apply (zenon_L68_); trivial.
% 21.78/21.94 apply (zenon_L917_); trivial.
% 21.78/21.94 apply (zenon_L211_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.94 apply (zenon_L184_); trivial.
% 21.78/21.94 apply (zenon_L919_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.94 apply (zenon_L975_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.94 apply (zenon_L892_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.94 apply (zenon_L239_); trivial.
% 21.78/21.94 apply (zenon_L893_); trivial.
% 21.78/21.94 apply (zenon_L870_); trivial.
% 21.78/21.94 (* end of lemma zenon_L980_ *)
% 21.78/21.94 assert (zenon_L981_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 21.78/21.94 do 0 intro. intros zenon_Hc2 zenon_H15d zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H13a zenon_H4e zenon_H4d zenon_H156 zenon_H55 zenon_H164 zenon_Hbc zenon_H33 zenon_H212 zenon_H162 zenon_H24e zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H181 zenon_H1bb zenon_He4 zenon_H18a zenon_H82 zenon_H31 zenon_H68 zenon_H77 zenon_H177 zenon_H160 zenon_H196 zenon_H93 zenon_H139 zenon_H48 zenon_H173 zenon_H1a2 zenon_H179 zenon_H73 zenon_Hef zenon_Hb2 zenon_H141 zenon_Hf0 zenon_H13f zenon_H131 zenon_H121 zenon_H104 zenon_H163 zenon_Hfa zenon_H192 zenon_H25e zenon_H1b4 zenon_Hf5 zenon_H20f zenon_H195 zenon_H25b zenon_H12e zenon_H117 zenon_H1c6 zenon_H129 zenon_H18d zenon_H19a zenon_H1c3 zenon_H13c zenon_H94 zenon_H125 zenon_H1fe.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.78/21.94 apply (zenon_L980_); trivial.
% 21.78/21.94 apply (zenon_L980_); trivial.
% 21.78/21.94 (* end of lemma zenon_L981_ *)
% 21.78/21.94 assert (zenon_L982_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (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) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> False).
% 21.78/21.94 do 0 intro. intros zenon_Hca zenon_H1fe zenon_H125 zenon_H94 zenon_H13c zenon_H1c3 zenon_H19a zenon_H18d zenon_H129 zenon_H1c6 zenon_H117 zenon_H12e zenon_H25b zenon_H195 zenon_H20f zenon_Hf5 zenon_H1b4 zenon_H25e zenon_H192 zenon_Hfa zenon_H163 zenon_H104 zenon_H121 zenon_H131 zenon_H13f zenon_Hf0 zenon_H141 zenon_Hb2 zenon_Hef zenon_H73 zenon_H179 zenon_H1a2 zenon_H173 zenon_H48 zenon_H139 zenon_H93 zenon_H196 zenon_H160 zenon_H177 zenon_H77 zenon_H68 zenon_H31 zenon_H82 zenon_H18a zenon_He4 zenon_H1bb zenon_H181 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H24e zenon_H162 zenon_H212 zenon_H33 zenon_Hbc zenon_H164 zenon_H55 zenon_H156 zenon_H4d zenon_H4e zenon_H13a zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H15d zenon_Hc2.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 21.78/21.94 apply (zenon_L981_); trivial.
% 21.78/21.94 apply (zenon_L434_); trivial.
% 21.78/21.94 (* end of lemma zenon_L982_ *)
% 21.78/21.94 assert (zenon_L983_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> False).
% 21.78/21.94 do 0 intro. intros zenon_H139 zenon_H6c zenon_Hef zenon_H173 zenon_H68 zenon_H31 zenon_Ha9 zenon_H9e.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.94 exact (zenon_H6c zenon_H67).
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.94 apply (zenon_L226_); trivial.
% 21.78/21.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.94 apply (zenon_L264_); trivial.
% 21.78/21.94 apply (zenon_L92_); trivial.
% 21.78/21.94 (* end of lemma zenon_L983_ *)
% 21.78/21.95 assert (zenon_L984_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H169 zenon_Hef zenon_H4d.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 21.78/21.95 exact (zenon_H1d4 zenon_H4d).
% 21.78/21.95 exact (zenon_H1b3 zenon_Hef).
% 21.78/21.95 (* end of lemma zenon_L984_ *)
% 21.78/21.95 assert (zenon_L985_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> False).
% 21.78/21.95 do 0 intro. intros zenon_Hb1 zenon_Hef zenon_H4d.
% 21.78/21.95 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 21.78/21.95 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 21.78/21.95 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.78/21.95 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.78/21.95 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 21.78/21.95 apply (zenon_L984_); trivial.
% 21.78/21.95 (* end of lemma zenon_L985_ *)
% 21.78/21.95 assert (zenon_L986_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H13a zenon_Hb6 zenon_H47 zenon_Ha9 zenon_H6e zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.95 apply (zenon_L253_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.95 apply (zenon_L110_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.95 apply (zenon_L178_); trivial.
% 21.78/21.95 apply (zenon_L154_); trivial.
% 21.78/21.95 (* end of lemma zenon_L986_ *)
% 21.78/21.95 assert (zenon_L987_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H139 zenon_H77 zenon_Hb9 zenon_Hbb zenon_H177 zenon_Ha9 zenon_H47 zenon_Hb6 zenon_H13a zenon_H68 zenon_H31 zenon_H16a zenon_H7b zenon_Hf0 zenon_Hef zenon_H8b zenon_H196.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.95 apply (zenon_L251_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.95 apply (zenon_L986_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.95 apply (zenon_L264_); trivial.
% 21.78/21.95 apply (zenon_L621_); trivial.
% 21.78/21.95 (* end of lemma zenon_L987_ *)
% 21.78/21.95 assert (zenon_L988_ : ((op (e3) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (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))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((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)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H7e zenon_H177 zenon_H1bb zenon_H196 zenon_Hb9 zenon_Hbb zenon_He4 zenon_Hb6 zenon_H156 zenon_H4d zenon_H8b zenon_H7b zenon_H16a zenon_H7d zenon_H19a zenon_H195 zenon_H20f zenon_H186 zenon_H25b zenon_H1b4 zenon_Hf5 zenon_H25e zenon_Ha0 zenon_H13a zenon_Hc0 zenon_H129 zenon_H12e zenon_H48 zenon_H1cb zenon_H191 zenon_H1a2 zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H139 zenon_H1d8 zenon_H271 zenon_H1cf zenon_H1b7 zenon_H18a zenon_H164 zenon_Hef zenon_H173 zenon_H68 zenon_H31 zenon_H155 zenon_H77.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.95 apply (zenon_L264_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.95 apply (zenon_L100_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.95 exact (zenon_H8b zenon_H8a).
% 21.78/21.95 apply (zenon_L955_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.95 apply (zenon_L226_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.95 apply (zenon_L264_); trivial.
% 21.78/21.95 apply (zenon_L98_); trivial.
% 21.78/21.95 (* end of lemma zenon_L988_ *)
% 21.78/21.95 assert (zenon_L989_ : (((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)) = (op (e1) (e3)))) -> (~((op (e1) (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 (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H13a zenon_H25b zenon_Hf5 zenon_H20f zenon_H195 zenon_H25e zenon_H192 zenon_H3d zenon_H48 zenon_H12e zenon_H8b zenon_Hef zenon_Hf0 zenon_H7b zenon_H16a zenon_H1cb zenon_H191 zenon_H4d zenon_Hb6 zenon_H31 zenon_Ha0 zenon_H1a2 zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H1b4 zenon_H139 zenon_H1d8 zenon_H271 zenon_H68 zenon_H77 zenon_H1cf zenon_H1b7 zenon_H34 zenon_H18a zenon_H1bb zenon_H54 zenon_H55 zenon_H156 zenon_He4 zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.95 apply (zenon_L962_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.95 apply (zenon_L972_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.95 apply (zenon_L178_); trivial.
% 21.78/21.95 apply (zenon_L154_); trivial.
% 21.78/21.95 (* end of lemma zenon_L989_ *)
% 21.78/21.95 assert (zenon_L990_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((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)) = (op (e1) (e3)))) -> (~((op (e1) (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 (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H1fe zenon_H212 zenon_H179 zenon_H1d5 zenon_H13c zenon_H173 zenon_H164 zenon_H129 zenon_Hc0 zenon_H186 zenon_H19a zenon_H7d zenon_H73 zenon_H1c6 zenon_H266 zenon_H190 zenon_H6f zenon_H1ef zenon_H13e zenon_H1ba zenon_H131 zenon_H13f zenon_H15d zenon_H82 zenon_Ha9 zenon_H4e zenon_H1cb zenon_H191 zenon_H4d zenon_Hb6 zenon_H31 zenon_Ha0 zenon_H1a2 zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H1b4 zenon_H139 zenon_H1d8 zenon_H271 zenon_H68 zenon_H77 zenon_H1cf zenon_H1b7 zenon_H18a zenon_H1bb zenon_H55 zenon_H156 zenon_H13a zenon_H25b zenon_Hf5 zenon_H20f zenon_H195 zenon_H25e zenon_H192 zenon_H12e zenon_H8b zenon_Hef zenon_Hf0 zenon_H7b zenon_H16a zenon_He4 zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196 zenon_H48.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/21.95 apply (zenon_L774_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.95 apply (zenon_L987_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.95 apply (zenon_L937_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.95 apply (zenon_L226_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.95 apply (zenon_L264_); trivial.
% 21.78/21.95 apply (zenon_L621_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.95 apply (zenon_L239_); trivial.
% 21.78/21.95 apply (zenon_L957_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.95 apply (zenon_L987_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.95 apply (zenon_L987_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.95 apply (zenon_L14_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.95 apply (zenon_L217_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.78/21.95 apply (zenon_L730_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.78/21.95 apply (zenon_L960_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.78/21.95 apply (zenon_L217_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.78/21.95 apply (zenon_L113_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.78/21.95 apply (zenon_L128_); trivial.
% 21.78/21.95 apply (zenon_L182_); trivial.
% 21.78/21.95 apply (zenon_L388_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.95 apply (zenon_L55_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.95 apply (zenon_L178_); trivial.
% 21.78/21.95 apply (zenon_L154_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.95 apply (zenon_L214_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.95 apply (zenon_L264_); trivial.
% 21.78/21.95 apply (zenon_L621_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.95 apply (zenon_L184_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.95 apply (zenon_L987_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.95 apply (zenon_L14_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.95 apply (zenon_L217_); trivial.
% 21.78/21.95 apply (zenon_L988_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.95 apply (zenon_L987_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.95 apply (zenon_L14_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.95 apply (zenon_L989_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.95 apply (zenon_L486_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.95 apply (zenon_L15_); trivial.
% 21.78/21.95 apply (zenon_L794_); trivial.
% 21.78/21.95 apply (zenon_L456_); trivial.
% 21.78/21.95 (* end of lemma zenon_L990_ *)
% 21.78/21.95 assert (zenon_L991_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((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)) = (op (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 (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H16a zenon_H7b zenon_Hdd zenon_H1cf zenon_H68 zenon_H31 zenon_H156 zenon_Hef zenon_H8b zenon_H12e zenon_H48 zenon_H34 zenon_H3d zenon_H192 zenon_H77 zenon_H25e zenon_H195 zenon_H20f zenon_Hf5 zenon_H25b zenon_H1b4 zenon_H9f zenon_Hb9 zenon_H196.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.78/21.95 exact (zenon_H7b zenon_H65).
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.78/21.95 apply (zenon_L54_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.78/21.95 exact (zenon_H8b zenon_H8a).
% 21.78/21.95 apply (zenon_L935_); trivial.
% 21.78/21.95 (* end of lemma zenon_L991_ *)
% 21.78/21.95 assert (zenon_L992_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H164 zenon_H9f zenon_H192 zenon_H3d zenon_H48 zenon_H12e zenon_H31 zenon_H1cf zenon_Hdd zenon_H129 zenon_Hc0 zenon_H13a zenon_H68 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H19a zenon_H7e zenon_H7d zenon_H16a zenon_H7b zenon_H77 zenon_H8b zenon_H156 zenon_Hb6 zenon_He4 zenon_H177 zenon_H196 zenon_Hef zenon_H67 zenon_H1bb zenon_Hbb zenon_Ha0 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H10c zenon_Hb9 zenon_H195.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.78/21.95 apply (zenon_L991_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.78/21.95 apply (zenon_L669_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.78/21.95 apply (zenon_L80_); trivial.
% 21.78/21.95 apply (zenon_L684_); trivial.
% 21.78/21.95 (* end of lemma zenon_L992_ *)
% 21.78/21.95 assert (zenon_L993_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H13c zenon_H25 zenon_Ha0 zenon_H164 zenon_H48 zenon_H129 zenon_Hc0 zenon_H13a zenon_H68 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H25b zenon_H186 zenon_H20f zenon_H19a zenon_H7d zenon_H16a zenon_H7b zenon_H77 zenon_H8b zenon_H156 zenon_He4 zenon_H177 zenon_Hbb zenon_H196 zenon_Hef zenon_H1bb zenon_H104 zenon_H67 zenon_H7e zenon_H9f zenon_H192 zenon_H3d zenon_H12e zenon_H31 zenon_H1cf zenon_H13e zenon_H1ef zenon_H1bf zenon_H191 zenon_H141 zenon_Hb6 zenon_H4d zenon_Hb9 zenon_H195.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.95 apply (zenon_L116_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.95 apply (zenon_L644_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.95 apply (zenon_L992_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.95 apply (zenon_L670_); trivial.
% 21.78/21.95 apply (zenon_L77_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.95 apply (zenon_L124_); trivial.
% 21.78/21.95 apply (zenon_L172_); trivial.
% 21.78/21.95 (* end of lemma zenon_L993_ *)
% 21.78/21.95 assert (zenon_L994_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e3)) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((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)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H139 zenon_Hb9 zenon_H31 zenon_Ha0 zenon_Hb6 zenon_H13c zenon_H164 zenon_H48 zenon_H129 zenon_Hc0 zenon_H13a zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H25b zenon_H186 zenon_H20f zenon_H19a zenon_H7d zenon_H156 zenon_He4 zenon_H177 zenon_Hbb zenon_H1bb zenon_H104 zenon_H192 zenon_H12e zenon_H1cf zenon_H13e zenon_H1ef zenon_H1bf zenon_H191 zenon_H141 zenon_H4d zenon_H195 zenon_H3d zenon_H77 zenon_H7e zenon_H25 zenon_H68 zenon_H1d5 zenon_H125 zenon_H16a zenon_H7b zenon_Hf0 zenon_Hef zenon_H8b zenon_H196.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.95 apply (zenon_L993_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.95 apply (zenon_L55_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.95 apply (zenon_L68_); trivial.
% 21.78/21.95 apply (zenon_L154_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.95 apply (zenon_L214_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.95 apply (zenon_L651_); trivial.
% 21.78/21.95 apply (zenon_L621_); trivial.
% 21.78/21.95 (* end of lemma zenon_L994_ *)
% 21.78/21.95 assert (zenon_L995_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (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 (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (((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)) = (op (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 (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H201 zenon_H8b zenon_Hef zenon_Hf0 zenon_H7b zenon_H16a zenon_H125 zenon_H1d5 zenon_H68 zenon_H3d zenon_H4d zenon_H141 zenon_H191 zenon_H1bf zenon_H1ef zenon_H13e zenon_H1cf zenon_H12e zenon_H192 zenon_H104 zenon_H1bb zenon_H177 zenon_He4 zenon_H156 zenon_H19a zenon_H186 zenon_H13a zenon_Hc0 zenon_H129 zenon_H48 zenon_H164 zenon_H13c zenon_Hb6 zenon_Ha0 zenon_H31 zenon_H139 zenon_Hbc zenon_Hbb zenon_H7d zenon_H179 zenon_H25 zenon_H212 zenon_H77 zenon_H25e zenon_H195 zenon_H20f zenon_Hf5 zenon_H25b zenon_H1b4 zenon_H9f zenon_Hb9 zenon_H196.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.78/21.95 exact (zenon_H7b zenon_H65).
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.78/21.95 apply (zenon_L61_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.78/21.95 exact (zenon_H8b zenon_H8a).
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.95 apply (zenon_L264_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.95 apply (zenon_L678_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.95 exact (zenon_H8b zenon_H8a).
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.78/21.95 apply (zenon_L994_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.78/21.95 apply (zenon_L658_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.78/21.95 apply (zenon_L367_); trivial.
% 21.78/21.95 apply (zenon_L674_); trivial.
% 21.78/21.95 (* end of lemma zenon_L995_ *)
% 21.78/21.95 assert (zenon_L996_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e0) = (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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H164 zenon_H155 zenon_H160 zenon_H18a zenon_H1b7 zenon_H1cf zenon_H271 zenon_H1d8 zenon_H139 zenon_H111 zenon_Hbc zenon_H1cd zenon_Hcc zenon_H270 zenon_H1a2 zenon_H31 zenon_H191 zenon_H1cb zenon_H48 zenon_H12e zenon_H129 zenon_Hc0 zenon_H13a zenon_H68 zenon_Ha0 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H19a zenon_H7e zenon_H7d zenon_H16a zenon_H7b zenon_H77 zenon_H8b zenon_H156 zenon_Hb6 zenon_He4 zenon_H177 zenon_Hbb zenon_H196 zenon_Hef zenon_H67 zenon_H1bb zenon_H14c zenon_H104 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H10c zenon_Hb9 zenon_H195.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.78/21.95 apply (zenon_L795_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.78/21.95 apply (zenon_L669_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.78/21.95 apply (zenon_L257_); trivial.
% 21.78/21.95 apply (zenon_L684_); trivial.
% 21.78/21.95 (* end of lemma zenon_L996_ *)
% 21.78/21.95 assert (zenon_L997_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H13c zenon_H25 zenon_Ha0 zenon_H1d5 zenon_H1bf zenon_H201 zenon_H164 zenon_H155 zenon_H18a zenon_H1b7 zenon_H1cf zenon_H271 zenon_H1d8 zenon_H139 zenon_H111 zenon_Hbc zenon_H1cd zenon_Hcc zenon_H270 zenon_H1a2 zenon_H31 zenon_H191 zenon_H1cb zenon_H48 zenon_H12e zenon_H129 zenon_Hc0 zenon_H13a zenon_H68 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H19a zenon_H7e zenon_H7d zenon_H16a zenon_H7b zenon_H77 zenon_H8b zenon_H156 zenon_He4 zenon_H177 zenon_Hbb zenon_H196 zenon_Hef zenon_H67 zenon_H1bb zenon_H104 zenon_H25b zenon_H20f zenon_H186 zenon_H9f zenon_H192 zenon_H3d zenon_H89 zenon_H1ef zenon_H13e zenon_H141 zenon_Hb6 zenon_H4d zenon_Hb9 zenon_H195.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.95 apply (zenon_L116_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.95 apply (zenon_L645_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.95 apply (zenon_L992_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.95 apply (zenon_L252_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.95 apply (zenon_L678_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.95 exact (zenon_H8b zenon_H8a).
% 21.78/21.95 apply (zenon_L996_); trivial.
% 21.78/21.95 apply (zenon_L77_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.95 apply (zenon_L124_); trivial.
% 21.78/21.95 apply (zenon_L172_); trivial.
% 21.78/21.95 (* end of lemma zenon_L997_ *)
% 21.78/21.95 assert (zenon_L998_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H16a zenon_H77 zenon_H8b zenon_H22d zenon_H89 zenon_H1ef zenon_H1bf zenon_H13e zenon_H92 zenon_H55 zenon_H53 zenon_H7b zenon_Hb9 zenon_H94.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.78/21.95 exact (zenon_H7b zenon_H65).
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.78/21.95 apply (zenon_L56_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.78/21.95 exact (zenon_H8b zenon_H8a).
% 21.78/21.95 apply (zenon_L797_); trivial.
% 21.78/21.95 (* end of lemma zenon_L998_ *)
% 21.78/21.95 assert (zenon_L999_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (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 (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((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)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H196 zenon_Hb9 zenon_Ha0 zenon_H13c zenon_H25 zenon_Hb6 zenon_H4d zenon_H195 zenon_H141 zenon_H192 zenon_H186 zenon_H20f zenon_H25b zenon_H104 zenon_H1bb zenon_Hbb zenon_H177 zenon_He4 zenon_H19a zenon_H1b4 zenon_Hf5 zenon_H25e zenon_H13a zenon_Hc0 zenon_H129 zenon_H12e zenon_H48 zenon_H1cb zenon_H191 zenon_H1a2 zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H139 zenon_H1d8 zenon_H271 zenon_H1cf zenon_H1b7 zenon_H18a zenon_H164 zenon_H201 zenon_H1d5 zenon_H156 zenon_H94 zenon_H7b zenon_H55 zenon_H92 zenon_H13e zenon_H1bf zenon_H1ef zenon_H89 zenon_H22d zenon_H8b zenon_H16a zenon_H7d zenon_H7e zenon_Hef zenon_H173 zenon_H68 zenon_H31 zenon_H155 zenon_H77.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.95 apply (zenon_L997_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.95 apply (zenon_L486_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.95 apply (zenon_L998_); trivial.
% 21.78/21.95 apply (zenon_L31_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.95 apply (zenon_L933_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.95 apply (zenon_L68_); trivial.
% 21.78/21.95 apply (zenon_L154_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.95 apply (zenon_L226_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.95 apply (zenon_L264_); trivial.
% 21.78/21.95 apply (zenon_L98_); trivial.
% 21.78/21.95 (* end of lemma zenon_L999_ *)
% 21.78/21.95 assert (zenon_L1000_ : (~((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 (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((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)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H196 zenon_H1b4 zenon_H25b zenon_Hf5 zenon_H20f zenon_H25e zenon_H77 zenon_H212 zenon_H179 zenon_H7d zenon_Hbc zenon_H141 zenon_H192 zenon_H186 zenon_H104 zenon_H1bb zenon_He4 zenon_H19a zenon_H13a zenon_Hc0 zenon_H129 zenon_H12e zenon_H48 zenon_H1cb zenon_H191 zenon_H1a2 zenon_H270 zenon_Hcc zenon_H1cd zenon_H111 zenon_H139 zenon_H1d8 zenon_H271 zenon_H1cf zenon_H1b7 zenon_H18a zenon_H164 zenon_H201 zenon_H1d5 zenon_H156 zenon_H94 zenon_H7b zenon_H55 zenon_H92 zenon_H13e zenon_H1bf zenon_H1ef zenon_H89 zenon_H22d zenon_H8b zenon_H16a zenon_Hef zenon_H68 zenon_H31 zenon_H67 zenon_Hf0 zenon_H195 zenon_Hb9 zenon_H4d zenon_H173 zenon_H25 zenon_Ha0 zenon_H13c zenon_H177 zenon_Hbb zenon_Hb6 zenon_H155.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.78/21.95 exact (zenon_H7b zenon_H65).
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.78/21.95 apply (zenon_L61_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.78/21.95 exact (zenon_H8b zenon_H8a).
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.95 apply (zenon_L252_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.95 apply (zenon_L678_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.95 exact (zenon_H8b zenon_H8a).
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.78/21.95 apply (zenon_L999_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.78/21.95 apply (zenon_L658_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.78/21.95 apply (zenon_L367_); trivial.
% 21.78/21.95 apply (zenon_L674_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.95 apply (zenon_L933_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.95 apply (zenon_L178_); trivial.
% 21.78/21.95 apply (zenon_L115_); trivial.
% 21.78/21.95 (* end of lemma zenon_L1000_ *)
% 21.78/21.95 assert (zenon_L1001_ : ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H155 zenon_Hb6 zenon_Hbb zenon_H177 zenon_H13c zenon_Ha0 zenon_H25 zenon_H4d zenon_Hb9 zenon_H195 zenon_H22d zenon_H89 zenon_H1ef zenon_H1bf zenon_H13e zenon_H92 zenon_H55 zenon_H94 zenon_H156 zenon_H1d5 zenon_H201 zenon_H164 zenon_H18a zenon_H1b7 zenon_H1cf zenon_H271 zenon_H1d8 zenon_H139 zenon_H111 zenon_H1cd zenon_Hcc zenon_H270 zenon_H1a2 zenon_H191 zenon_H1cb zenon_H48 zenon_H12e zenon_H129 zenon_Hc0 zenon_H13a zenon_H19a zenon_He4 zenon_H1bb zenon_H104 zenon_H186 zenon_H192 zenon_H141 zenon_Hbc zenon_H7d zenon_H179 zenon_H212 zenon_H77 zenon_H25e zenon_H20f zenon_Hf5 zenon_H25b zenon_H1b4 zenon_H173 zenon_H68 zenon_H31 zenon_H16a zenon_H7b zenon_Hf0 zenon_Hef zenon_H8b zenon_H196.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.95 apply (zenon_L1000_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.95 apply (zenon_L226_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.95 apply (zenon_L264_); trivial.
% 21.78/21.95 apply (zenon_L621_); trivial.
% 21.78/21.95 (* end of lemma zenon_L1001_ *)
% 21.78/21.95 assert (zenon_L1002_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H15d zenon_Ha9 zenon_H125 zenon_H73 zenon_Hb6 zenon_Hbb zenon_H177 zenon_H13c zenon_Ha0 zenon_H25 zenon_H4d zenon_Hb9 zenon_H195 zenon_H22d zenon_H89 zenon_H1ef zenon_H1bf zenon_H13e zenon_H92 zenon_H55 zenon_H94 zenon_H156 zenon_H1d5 zenon_H201 zenon_H164 zenon_H18a zenon_H1b7 zenon_H1cf zenon_H271 zenon_H1d8 zenon_H139 zenon_H111 zenon_H1cd zenon_Hcc zenon_H270 zenon_H1a2 zenon_H191 zenon_H1cb zenon_H48 zenon_H12e zenon_H129 zenon_Hc0 zenon_H13a zenon_H19a zenon_He4 zenon_H1bb zenon_H104 zenon_H186 zenon_H192 zenon_H141 zenon_Hbc zenon_H7d zenon_H179 zenon_H212 zenon_H77 zenon_H25e zenon_H20f zenon_Hf5 zenon_H25b zenon_H1b4 zenon_H173 zenon_H68 zenon_H31 zenon_H16a zenon_H7b zenon_Hf0 zenon_Hef zenon_H8b zenon_H196.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.95 apply (zenon_L987_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.95 apply (zenon_L995_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.95 apply (zenon_L933_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.95 apply (zenon_L178_); trivial.
% 21.78/21.95 apply (zenon_L154_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.95 apply (zenon_L184_); trivial.
% 21.78/21.95 apply (zenon_L1001_); trivial.
% 21.78/21.95 (* end of lemma zenon_L1002_ *)
% 21.78/21.95 assert (zenon_L1003_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((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)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.78/21.95 do 0 intro. intros zenon_H1d5 zenon_H67 zenon_Hbb zenon_H1bf zenon_H201 zenon_H8b zenon_H12e zenon_H48 zenon_H1cb zenon_H191 zenon_H4d zenon_Hb6 zenon_H31 zenon_Ha0 zenon_H1a2 zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H139 zenon_H1d8 zenon_H271 zenon_H68 zenon_H1cf zenon_H1b7 zenon_H34 zenon_H18a zenon_H1bb zenon_H77 zenon_H155 zenon_H1b4.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.95 apply (zenon_L252_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.95 apply (zenon_L678_); trivial.
% 21.78/21.95 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.95 exact (zenon_H8b zenon_H8a).
% 21.78/21.95 apply (zenon_L795_); trivial.
% 21.78/21.95 (* end of lemma zenon_L1003_ *)
% 21.78/21.95 assert (zenon_L1004_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.78/21.96 do 0 intro. intros zenon_H1b4 zenon_H1bb zenon_H18a zenon_H34 zenon_H1b7 zenon_H1cf zenon_H271 zenon_H1d8 zenon_H139 zenon_H111 zenon_Hbc zenon_H1cd zenon_Hcc zenon_H270 zenon_H1a2 zenon_Ha0 zenon_Hb6 zenon_H4d zenon_H191 zenon_H1cb zenon_H48 zenon_H12e zenon_H8b zenon_H201 zenon_H1bf zenon_Hbb zenon_H1d5 zenon_Hef zenon_H173 zenon_H68 zenon_H31 zenon_H155 zenon_H77.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.96 apply (zenon_L1003_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.96 apply (zenon_L226_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.96 apply (zenon_L264_); trivial.
% 21.78/21.96 apply (zenon_L98_); trivial.
% 21.78/21.96 (* end of lemma zenon_L1004_ *)
% 21.78/21.96 assert (zenon_L1005_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((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)) = (op (e1) (e3)))) -> (~((op (e1) (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False).
% 21.78/21.96 do 0 intro. intros zenon_H1fe zenon_H212 zenon_H179 zenon_H7d zenon_H141 zenon_H186 zenon_H104 zenon_H19a zenon_Hc0 zenon_H129 zenon_H164 zenon_H94 zenon_H92 zenon_H22d zenon_H13c zenon_H73 zenon_H125 zenon_H13e zenon_H1ef zenon_H89 zenon_H15d zenon_H13a zenon_H25b zenon_Hf5 zenon_H20f zenon_H195 zenon_H25e zenon_H192 zenon_Hf0 zenon_H7b zenon_H16a zenon_H55 zenon_H156 zenon_He4 zenon_H177 zenon_Hb9 zenon_H196 zenon_H4e zenon_Ha9 zenon_H82 zenon_H1b4 zenon_H1bb zenon_H18a zenon_H1b7 zenon_H1cf zenon_H271 zenon_H1d8 zenon_H139 zenon_H111 zenon_Hbc zenon_H1cd zenon_Hcc zenon_H270 zenon_H1a2 zenon_Ha0 zenon_Hb6 zenon_H4d zenon_H191 zenon_H1cb zenon_H48 zenon_H12e zenon_H8b zenon_H201 zenon_H1bf zenon_Hbb zenon_H1d5 zenon_Hef zenon_H173 zenon_H68 zenon_H31 zenon_H77.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/21.96 apply (zenon_L774_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/21.96 apply (zenon_L1002_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/21.96 apply (zenon_L645_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.96 apply (zenon_L987_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.96 apply (zenon_L987_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.96 apply (zenon_L14_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.96 apply (zenon_L989_); trivial.
% 21.78/21.96 apply (zenon_L456_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.96 apply (zenon_L239_); trivial.
% 21.78/21.96 apply (zenon_L1004_); trivial.
% 21.78/21.96 (* end of lemma zenon_L1005_ *)
% 21.78/21.96 assert (zenon_L1006_ : ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (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) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> False).
% 21.78/21.96 do 0 intro. intros zenon_H8f zenon_H92 zenon_H139 zenon_H196 zenon_H31 zenon_H173 zenon_H68 zenon_H15d zenon_H1a2 zenon_H1cb zenon_H271 zenon_H1d8 zenon_H111 zenon_H1cd zenon_Hcc zenon_H270 zenon_H1b7 zenon_H18a zenon_Ha0 zenon_H1d5 zenon_H156 zenon_H179 zenon_Hbc zenon_H212 zenon_H1cf zenon_H48 zenon_H192 zenon_H25e zenon_H1b4 zenon_Hf5 zenon_H20f zenon_H195 zenon_H25b zenon_H12e zenon_H1bb zenon_Hc0 zenon_H19a zenon_H186 zenon_H4d zenon_He4 zenon_H7d zenon_H129 zenon_H164 zenon_H13c zenon_H77 zenon_H13a zenon_Hb9 zenon_Hbb zenon_H177 zenon_Ha9 zenon_Hb6 zenon_H73 zenon_H4e zenon_H1c6 zenon_H131 zenon_H13f zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H82 zenon_H1fe zenon_Hf0 zenon_Hef zenon_H8b zenon_H16a zenon_H22d zenon_H94 zenon_H89 zenon_H201 zenon_H141 zenon_H104 zenon_H125 zenon_H91.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.78/21.96 apply (zenon_L779_); trivial.
% 21.78/21.96 apply (zenon_L990_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.78/21.96 apply (zenon_L779_); trivial.
% 21.78/21.96 apply (zenon_L1005_); trivial.
% 21.78/21.96 apply (zenon_L130_); trivial.
% 21.78/21.96 (* end of lemma zenon_L1006_ *)
% 21.78/21.96 assert (zenon_L1007_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (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) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False).
% 21.78/21.96 do 0 intro. intros zenon_H26a zenon_H5d zenon_H181 zenon_H2c zenon_H189 zenon_H1a8 zenon_H24e zenon_Hb2 zenon_H117 zenon_H18d zenon_H26d zenon_H11a zenon_H33 zenon_Hfa zenon_H163 zenon_H1f1 zenon_H1c3 zenon_H109 zenon_H121 zenon_H125 zenon_H104 zenon_H141 zenon_H201 zenon_H94 zenon_H22d zenon_H16a zenon_H8b zenon_Hef zenon_Hf0 zenon_H1fe zenon_H82 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13f zenon_H131 zenon_H1c6 zenon_H4e zenon_H73 zenon_Hb6 zenon_Ha9 zenon_H177 zenon_H13a zenon_H77 zenon_H13c zenon_H164 zenon_H129 zenon_H7d zenon_He4 zenon_H4d zenon_H186 zenon_H19a zenon_H1bb zenon_H12e zenon_H25b zenon_H195 zenon_H20f zenon_Hf5 zenon_H1b4 zenon_H25e zenon_H192 zenon_H48 zenon_H1cf zenon_H212 zenon_Hbc zenon_H179 zenon_H156 zenon_H1d5 zenon_Ha0 zenon_H18a zenon_H1b7 zenon_H270 zenon_Hcc zenon_H1cd zenon_H111 zenon_H1d8 zenon_H271 zenon_H1cb zenon_H1a2 zenon_H15d zenon_H68 zenon_H173 zenon_H31 zenon_H196 zenon_H139.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.78/21.96 apply (zenon_L2_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.78/21.96 apply (zenon_L700_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.78/21.96 apply (zenon_L974_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.78/21.96 apply (zenon_L757_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.78/21.96 apply (zenon_L758_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.78/21.96 apply (zenon_L11_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.78/21.96 apply (zenon_L810_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.78/21.96 apply (zenon_L335_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.78/21.96 apply (zenon_L814_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.78/21.96 apply (zenon_L343_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.78/21.96 apply (zenon_L37_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 21.78/21.96 apply (zenon_L899_); trivial.
% 21.78/21.96 apply (zenon_L979_); trivial.
% 21.78/21.96 apply (zenon_L982_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 21.78/21.96 exact (zenon_H237 zenon_H31).
% 21.78/21.96 apply (zenon_L983_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.78/21.96 apply (zenon_L985_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.78/21.96 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.78/21.96 apply (zenon_L1006_); trivial.
% 21.78/21.96 apply (zenon_L51_); trivial.
% 21.78/21.96 (* end of lemma zenon_L1007_ *)
% 21.78/21.96 assert (zenon_L1008_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> False).
% 21.78/21.96 do 0 intro. intros zenon_H92 zenon_H1ef zenon_H2d zenon_H131 zenon_H4d zenon_H13e zenon_H7b zenon_Hf0 zenon_Hef zenon_H8b zenon_H16a.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.78/21.96 apply (zenon_L779_); trivial.
% 21.78/21.96 apply (zenon_L755_); trivial.
% 21.78/21.96 (* end of lemma zenon_L1008_ *)
% 21.78/21.96 assert (zenon_L1009_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 21.78/21.96 do 0 intro. intros zenon_H2f zenon_H104 zenon_Hbb zenon_H16a zenon_H8b zenon_Hef zenon_Hf0 zenon_H13e zenon_H4d zenon_H131 zenon_H1ef.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.78/21.96 apply (zenon_L1008_); trivial.
% 21.78/21.96 apply (zenon_L130_); trivial.
% 21.78/21.96 (* end of lemma zenon_L1009_ *)
% 21.78/21.96 assert (zenon_L1010_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e3)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.78/21.96 do 0 intro. intros zenon_H164 zenon_H1b7 zenon_H68 zenon_H93 zenon_H26a zenon_H195 zenon_H163 zenon_H160 zenon_H13f zenon_H189 zenon_H19a zenon_H48 zenon_H18d zenon_H131 zenon_H77 zenon_H25 zenon_Hfa zenon_H94 zenon_Ha8 zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H4d zenon_H191 zenon_H1cb zenon_H26d zenon_H14c zenon_H104 zenon_H67 zenon_H7e.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.78/21.96 apply (zenon_L456_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.78/21.96 apply (zenon_L763_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.78/21.96 apply (zenon_L257_); trivial.
% 21.78/21.96 apply (zenon_L547_); trivial.
% 21.78/21.96 (* end of lemma zenon_L1010_ *)
% 21.78/21.96 assert (zenon_L1011_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (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) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False).
% 21.78/21.96 do 0 intro. intros zenon_H26a zenon_H2c zenon_H189 zenon_H1a8 zenon_H24e zenon_Hb2 zenon_H117 zenon_H18d zenon_H26d zenon_H11a zenon_H33 zenon_H121 zenon_Hfa zenon_H163 zenon_H1f1 zenon_H1c3 zenon_H109 zenon_Hbb zenon_H125 zenon_H104 zenon_H141 zenon_H201 zenon_H94 zenon_H22d zenon_H16a zenon_H8b zenon_Hef zenon_Hf0 zenon_H1fe zenon_H82 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13f zenon_H131 zenon_H1c6 zenon_H4e zenon_H73 zenon_Hb6 zenon_Ha9 zenon_H177 zenon_H13a zenon_H77 zenon_H13c zenon_H164 zenon_H129 zenon_H7d zenon_He4 zenon_H4d zenon_H186 zenon_H19a zenon_H1bb zenon_H12e zenon_H25b zenon_H195 zenon_H20f zenon_Hf5 zenon_H1b4 zenon_H25e zenon_H192 zenon_H48 zenon_H1cf zenon_H212 zenon_Hbc zenon_H179 zenon_H156 zenon_H1d5 zenon_Ha0 zenon_H18a zenon_H1b7 zenon_H270 zenon_Hcc zenon_H1cd zenon_H111 zenon_H1d8 zenon_H271 zenon_H1cb zenon_H1a2 zenon_H15d zenon_H68 zenon_H173 zenon_H31 zenon_H196 zenon_H139.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.78/21.96 apply (zenon_L2_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.78/21.96 apply (zenon_L700_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.78/21.96 apply (zenon_L1009_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.78/21.96 apply (zenon_L757_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.78/21.96 apply (zenon_L758_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.78/21.96 apply (zenon_L11_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 21.78/21.96 apply (zenon_L778_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.78/21.96 apply (zenon_L779_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/21.96 apply (zenon_L774_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.96 apply (zenon_L775_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.96 apply (zenon_L775_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.96 apply (zenon_L14_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.96 apply (zenon_L15_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.96 apply (zenon_L645_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.96 apply (zenon_L111_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.78/21.96 exact (zenon_H7b zenon_H65).
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.78/21.96 apply (zenon_L61_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.78/21.96 exact (zenon_H8b zenon_H8a).
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.96 apply (zenon_L264_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.96 apply (zenon_L678_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.96 exact (zenon_H8b zenon_H8a).
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.78/21.96 apply (zenon_L1010_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.78/21.96 apply (zenon_L113_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.78/21.96 exact (zenon_H191 zenon_H110).
% 21.78/21.96 apply (zenon_L797_); trivial.
% 21.78/21.96 apply (zenon_L766_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.96 apply (zenon_L214_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.96 apply (zenon_L651_); trivial.
% 21.78/21.96 apply (zenon_L621_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.96 apply (zenon_L239_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.96 apply (zenon_L775_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.96 apply (zenon_L25_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.96 apply (zenon_L15_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.96 apply (zenon_L116_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.96 apply (zenon_L798_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.96 apply (zenon_L617_); trivial.
% 21.78/21.96 apply (zenon_L799_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.96 apply (zenon_L226_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.96 apply (zenon_L264_); trivial.
% 21.78/21.96 apply (zenon_L98_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/21.96 apply (zenon_L645_); trivial.
% 21.78/21.96 apply (zenon_L776_); trivial.
% 21.78/21.96 apply (zenon_L130_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.78/21.96 apply (zenon_L335_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.78/21.96 apply (zenon_L814_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.78/21.96 apply (zenon_L343_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.78/21.96 apply (zenon_L37_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.78/21.96 apply (zenon_L901_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.78/21.96 apply (zenon_L791_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.78/21.96 apply (zenon_L361_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.78/21.96 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.78/21.96 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.78/21.96 apply (zenon_L1006_); trivial.
% 21.78/21.96 apply (zenon_L51_); trivial.
% 21.78/21.96 (* end of lemma zenon_L1011_ *)
% 21.78/21.96 assert (zenon_L1012_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.96 do 0 intro. intros zenon_H139 zenon_H47 zenon_H195 zenon_H4d zenon_H77 zenon_H173 zenon_H25 zenon_H68 zenon_Hfa zenon_H8a zenon_H111 zenon_H93 zenon_H196.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.96 apply (zenon_L251_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.96 apply (zenon_L976_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.96 apply (zenon_L258_); trivial.
% 21.78/21.96 apply (zenon_L167_); trivial.
% 21.78/21.96 (* end of lemma zenon_L1012_ *)
% 21.78/21.96 assert (zenon_L1013_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 21.78/21.96 do 0 intro. intros zenon_H20b zenon_H11d zenon_H73 zenon_H4d zenon_H8a zenon_H111 zenon_Hbb zenon_H177.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H31 | zenon_intro zenon_H20c ].
% 21.78/21.96 apply (zenon_L406_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H153 | zenon_intro zenon_H20d ].
% 21.78/21.96 apply (zenon_L184_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfe ].
% 21.78/21.96 apply (zenon_L258_); trivial.
% 21.78/21.96 apply (zenon_L178_); trivial.
% 21.78/21.96 (* end of lemma zenon_L1013_ *)
% 21.78/21.96 assert (zenon_L1014_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.96 do 0 intro. intros zenon_H139 zenon_H77 zenon_H131 zenon_H4d zenon_H1f1 zenon_H2d zenon_H48 zenon_H13f zenon_H117 zenon_Ha0 zenon_Hb6 zenon_H104 zenon_Hbb zenon_H156 zenon_He4 zenon_H31 zenon_Ha9 zenon_H47 zenon_H13a zenon_H8a zenon_H111 zenon_H93 zenon_H196.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.96 apply (zenon_L251_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.96 apply (zenon_L842_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.96 apply (zenon_L258_); trivial.
% 21.78/21.96 apply (zenon_L167_); trivial.
% 21.78/21.96 (* end of lemma zenon_L1014_ *)
% 21.78/21.96 assert (zenon_L1015_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.78/21.96 do 0 intro. intros zenon_H1bb zenon_H195 zenon_Hb9 zenon_H10c zenon_H4d zenon_H186 zenon_H20f zenon_H25b zenon_H1c7 zenon_H160 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H181 zenon_Hc4.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 21.78/21.96 apply (zenon_L684_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 21.78/21.96 apply (zenon_L848_); trivial.
% 21.78/21.96 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 21.78/21.96 exact (zenon_H181 zenon_H17c).
% 21.78/21.97 exact (zenon_Hc4 zenon_Hc3).
% 21.78/21.97 (* end of lemma zenon_L1015_ *)
% 21.78/21.97 assert (zenon_L1016_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e2)) = (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) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H164 zenon_H1c7 zenon_H25b zenon_H20f zenon_H186 zenon_H10c zenon_H195 zenon_Hef zenon_Hb6 zenon_Hb9 zenon_H19a zenon_H26d zenon_H31 zenon_H48 zenon_H93 zenon_H68 zenon_H1b7 zenon_H1bb zenon_H1cd zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4 zenon_H18d zenon_H177 zenon_Hbb zenon_H111 zenon_H8a zenon_H4d zenon_H73 zenon_H20b zenon_H67 zenon_H7e.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.78/21.97 apply (zenon_L1015_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.78/21.97 apply (zenon_L822_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.78/21.97 apply (zenon_L1013_); trivial.
% 21.78/21.97 apply (zenon_L547_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1016_ *)
% 21.78/21.97 assert (zenon_L1017_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H13f zenon_H7e zenon_H67 zenon_H20b zenon_H73 zenon_H8a zenon_H111 zenon_Hbb zenon_H177 zenon_H18d zenon_Hc4 zenon_H181 zenon_H1b4 zenon_H24e zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H160 zenon_H1cd zenon_H1bb zenon_H1b7 zenon_H68 zenon_H48 zenon_H31 zenon_H26d zenon_H19a zenon_Hb6 zenon_Hef zenon_H195 zenon_H10c zenon_H186 zenon_H20f zenon_H25b zenon_H1c7 zenon_H164 zenon_H121 zenon_H104 zenon_H2d zenon_Ha0 zenon_H117 zenon_H4d zenon_H131 zenon_H77 zenon_H93.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.78/21.97 apply (zenon_L217_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.78/21.97 apply (zenon_L67_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.78/21.97 apply (zenon_L113_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.78/21.97 apply (zenon_L815_); trivial.
% 21.78/21.97 apply (zenon_L1016_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.78/21.97 apply (zenon_L128_); trivial.
% 21.78/21.97 apply (zenon_L218_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1017_ *)
% 21.78/21.97 assert (zenon_L1018_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H1c6 zenon_H3d zenon_H117 zenon_Ha0 zenon_H104 zenon_H121 zenon_H164 zenon_H25b zenon_H20f zenon_H186 zenon_H195 zenon_Hef zenon_H19a zenon_H26d zenon_H31 zenon_H68 zenon_H1b7 zenon_H1bb zenon_H1cd zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4 zenon_H18d zenon_H177 zenon_Hbb zenon_H111 zenon_H8a zenon_H73 zenon_H20b zenon_H67 zenon_H7e zenon_H93 zenon_H77 zenon_H131 zenon_H4d zenon_Hb6 zenon_H2d zenon_H48 zenon_H13f zenon_H1c7.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.78/21.97 apply (zenon_L55_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.78/21.97 apply (zenon_L1017_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.78/21.97 apply (zenon_L825_); trivial.
% 21.78/21.97 exact (zenon_H1c7 zenon_Hac).
% 21.78/21.97 (* end of lemma zenon_L1018_ *)
% 21.78/21.97 assert (zenon_L1019_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((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 (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H1fe zenon_H129 zenon_Hfa zenon_H173 zenon_H31 zenon_H82 zenon_H4e zenon_H189 zenon_H1c6 zenon_H117 zenon_H104 zenon_H121 zenon_H164 zenon_H25b zenon_H20f zenon_H186 zenon_H195 zenon_H26d zenon_H20b zenon_H131 zenon_H13f zenon_H1a8 zenon_H8a zenon_H111 zenon_H15d zenon_H196 zenon_H93 zenon_H177 zenon_He4 zenon_H156 zenon_H1cb zenon_H1f1 zenon_H18d zenon_H13a zenon_Ha9 zenon_Hb6 zenon_H139 zenon_H68 zenon_Ha0 zenon_H19a zenon_H77 zenon_H1c7 zenon_H163 zenon_H192 zenon_H48 zenon_H12e zenon_H73 zenon_H4d zenon_H1bb zenon_H1cd zenon_Hbb zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/21.97 apply (zenon_L817_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.97 apply (zenon_L1012_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.97 apply (zenon_L171_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.78/21.97 apply (zenon_L853_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.78/21.97 apply (zenon_L837_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.78/21.97 apply (zenon_L1013_); trivial.
% 21.78/21.97 apply (zenon_L560_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.97 apply (zenon_L227_); trivial.
% 21.78/21.97 apply (zenon_L228_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.97 apply (zenon_L184_); trivial.
% 21.78/21.97 apply (zenon_L816_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.97 apply (zenon_L1014_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.97 apply (zenon_L818_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.97 apply (zenon_L14_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.97 apply (zenon_L217_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.97 apply (zenon_L214_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.97 apply (zenon_L1018_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.97 apply (zenon_L439_); trivial.
% 21.78/21.97 apply (zenon_L240_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.97 apply (zenon_L214_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.97 apply (zenon_L258_); trivial.
% 21.78/21.97 apply (zenon_L167_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.97 apply (zenon_L239_); trivial.
% 21.78/21.97 apply (zenon_L816_); trivial.
% 21.78/21.97 apply (zenon_L854_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1019_ *)
% 21.78/21.97 assert (zenon_L1020_ : (((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 (e2) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((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 (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H1a2 zenon_H1fe zenon_H129 zenon_Hfa zenon_H173 zenon_H31 zenon_H82 zenon_H4e zenon_H189 zenon_H1c6 zenon_H117 zenon_H104 zenon_H121 zenon_H164 zenon_H25b zenon_H20f zenon_H186 zenon_H195 zenon_H26d zenon_H20b zenon_H131 zenon_H13f zenon_H1a8 zenon_H8a zenon_H111 zenon_H15d zenon_H196 zenon_H93 zenon_H177 zenon_He4 zenon_H156 zenon_H1cb zenon_H1f1 zenon_H18d zenon_H13a zenon_Ha9 zenon_Hb6 zenon_H139 zenon_H68 zenon_Ha0 zenon_H19a zenon_H77 zenon_H1c7 zenon_H163 zenon_H192 zenon_H48 zenon_H12e zenon_H73 zenon_H4d zenon_H1bb zenon_H1cd zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.78/21.97 apply (zenon_L68_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.78/21.97 apply (zenon_L124_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.78/21.97 apply (zenon_L815_); trivial.
% 21.78/21.97 apply (zenon_L1019_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1020_ *)
% 21.78/21.97 assert (zenon_L1021_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H164 zenon_H1b7 zenon_H68 zenon_H93 zenon_H1bb zenon_H20f zenon_H181 zenon_Hc4 zenon_H18d zenon_H48 zenon_H129 zenon_H1b4 zenon_H19a zenon_H177 zenon_Hbb zenon_H111 zenon_H8a zenon_H4d zenon_H73 zenon_H20b zenon_H12e zenon_H67 zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H160 zenon_H77 zenon_H120.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.78/21.97 apply (zenon_L528_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.78/21.97 apply (zenon_L557_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.78/21.97 apply (zenon_L1013_); trivial.
% 21.78/21.97 apply (zenon_L558_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1021_ *)
% 21.78/21.97 assert (zenon_L1022_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (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 (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H139 zenon_H120 zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H12e zenon_H20b zenon_H73 zenon_Hbb zenon_H177 zenon_H19a zenon_H1b4 zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H181 zenon_H20f zenon_H1bb zenon_H1b7 zenon_H164 zenon_H195 zenon_H4d zenon_H77 zenon_H173 zenon_H25 zenon_H68 zenon_Hfa zenon_H8a zenon_H111 zenon_H93 zenon_H196.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.97 apply (zenon_L1021_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.97 apply (zenon_L976_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.97 apply (zenon_L258_); trivial.
% 21.78/21.97 apply (zenon_L167_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1022_ *)
% 21.78/21.97 assert (zenon_L1023_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H117 zenon_Ha0 zenon_H93 zenon_H77 zenon_H131 zenon_H4d zenon_Hb6 zenon_H2d zenon_H48 zenon_H13f zenon_H8a zenon_Ha9 zenon_H9e zenon_H196.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.78/21.97 apply (zenon_L67_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.78/21.97 apply (zenon_L825_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.78/21.97 apply (zenon_L153_); trivial.
% 21.78/21.97 apply (zenon_L154_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1023_ *)
% 21.78/21.97 assert (zenon_L1024_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H139 zenon_Ha9 zenon_H8a zenon_H13f zenon_H48 zenon_H2d zenon_Hb6 zenon_H4d zenon_H131 zenon_H77 zenon_Ha0 zenon_H117 zenon_H47 zenon_H13a zenon_H68 zenon_H31 zenon_H93 zenon_H196.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.97 apply (zenon_L251_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.97 apply (zenon_L253_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.97 apply (zenon_L110_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.97 apply (zenon_L68_); trivial.
% 21.78/21.97 apply (zenon_L1023_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.97 apply (zenon_L264_); trivial.
% 21.78/21.97 apply (zenon_L167_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1024_ *)
% 21.78/21.97 assert (zenon_L1025_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H117 zenon_H2d zenon_Hb6 zenon_H53 zenon_H8a zenon_Ha9 zenon_H19a zenon_H77 zenon_H93 zenon_H1b4 zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H181 zenon_H120 zenon_H1bb zenon_Ha0 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H10c zenon_H195.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.78/21.97 apply (zenon_L67_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.78/21.97 apply (zenon_L113_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.78/21.97 apply (zenon_L153_); trivial.
% 21.78/21.97 apply (zenon_L860_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1025_ *)
% 21.78/21.97 assert (zenon_L1026_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H1c6 zenon_H6e zenon_H195 zenon_H186 zenon_H20f zenon_H25b zenon_H1bb zenon_H120 zenon_H181 zenon_Hc4 zenon_H18d zenon_H129 zenon_H1b4 zenon_H19a zenon_H53 zenon_H117 zenon_H93 zenon_H77 zenon_H131 zenon_H2d zenon_H48 zenon_H13f zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H4d zenon_H8a zenon_Ha9 zenon_H1cd.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.78/21.97 apply (zenon_L110_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.78/21.97 apply (zenon_L1025_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.78/21.97 apply (zenon_L825_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.78/21.97 apply (zenon_L68_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.78/21.97 apply (zenon_L124_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.78/21.97 apply (zenon_L153_); trivial.
% 21.78/21.97 apply (zenon_L360_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1026_ *)
% 21.78/21.97 assert (zenon_L1027_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((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 (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H1fe zenon_H24e zenon_H141 zenon_H2c zenon_H55 zenon_H111 zenon_Hfa zenon_H173 zenon_H1b7 zenon_H20b zenon_H196 zenon_H31 zenon_H68 zenon_He4 zenon_H156 zenon_H1cd zenon_Ha9 zenon_H8a zenon_Hb6 zenon_Ha0 zenon_H1a2 zenon_H117 zenon_H19a zenon_H1b4 zenon_H18d zenon_H181 zenon_H25b zenon_H20f zenon_H186 zenon_H195 zenon_H1c6 zenon_H13f zenon_H1f1 zenon_H4d zenon_H131 zenon_H189 zenon_H164 zenon_H177 zenon_H1a8 zenon_H139 zenon_H4e zenon_H13a zenon_H82 zenon_H73 zenon_H15d zenon_H12e zenon_H48 zenon_Hc4 zenon_H93 zenon_H129 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1bb zenon_H160 zenon_H77 zenon_H120.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/21.97 apply (zenon_L859_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.78/21.97 apply (zenon_L68_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.78/21.97 apply (zenon_L124_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.78/21.97 apply (zenon_L153_); trivial.
% 21.78/21.97 apply (zenon_L1022_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.97 apply (zenon_L1024_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.97 apply (zenon_L1024_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.97 apply (zenon_L14_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.97 apply (zenon_L217_); trivial.
% 21.78/21.97 apply (zenon_L866_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.97 apply (zenon_L184_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.97 apply (zenon_L888_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.97 apply (zenon_L14_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.97 apply (zenon_L217_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.97 apply (zenon_L865_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.97 apply (zenon_L486_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.97 apply (zenon_L1026_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.97 apply (zenon_L864_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.97 apply (zenon_L439_); trivial.
% 21.78/21.97 apply (zenon_L240_); trivial.
% 21.78/21.97 apply (zenon_L31_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.97 apply (zenon_L214_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.97 apply (zenon_L486_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.97 apply (zenon_L1026_); trivial.
% 21.78/21.97 apply (zenon_L840_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.97 apply (zenon_L264_); trivial.
% 21.78/21.97 apply (zenon_L167_); trivial.
% 21.78/21.97 apply (zenon_L528_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1027_ *)
% 21.78/21.97 assert (zenon_L1028_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H117 zenon_H2d zenon_Hb6 zenon_H53 zenon_H104 zenon_Hbb zenon_H19a zenon_H77 zenon_H93 zenon_H1b4 zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H181 zenon_H120 zenon_H1bb zenon_Ha0 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H10c zenon_H195.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.78/21.97 apply (zenon_L67_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.78/21.97 apply (zenon_L113_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.78/21.97 apply (zenon_L129_); trivial.
% 21.78/21.97 apply (zenon_L860_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1028_ *)
% 21.78/21.97 assert (zenon_L1029_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H1c6 zenon_Ha9 zenon_H6e zenon_H195 zenon_H4d zenon_H186 zenon_H20f zenon_H25b zenon_Ha0 zenon_H1bb zenon_H120 zenon_H181 zenon_Hc4 zenon_H18d zenon_H48 zenon_H129 zenon_H1b4 zenon_H93 zenon_H77 zenon_H19a zenon_H104 zenon_H2d zenon_H117 zenon_Hb6 zenon_H53 zenon_Hbb zenon_H1cd.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.78/21.97 apply (zenon_L110_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.78/21.97 apply (zenon_L1028_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.78/21.97 apply (zenon_L113_); trivial.
% 21.78/21.97 apply (zenon_L360_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1029_ *)
% 21.78/21.97 assert (zenon_L1030_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H1fe zenon_H24e zenon_H55 zenon_Hfa zenon_H173 zenon_H1b7 zenon_H73 zenon_H20b zenon_H196 zenon_H111 zenon_H8a zenon_He4 zenon_H156 zenon_H1cd zenon_Hbb zenon_Hb6 zenon_H117 zenon_H104 zenon_H19a zenon_H1b4 zenon_H18d zenon_H181 zenon_Ha0 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H195 zenon_Ha9 zenon_H1c6 zenon_H189 zenon_H164 zenon_H68 zenon_H31 zenon_H177 zenon_H1a8 zenon_H139 zenon_H4e zenon_H13a zenon_H82 zenon_H13f zenon_H1f1 zenon_H131 zenon_H15d zenon_H12e zenon_H48 zenon_Hc4 zenon_H93 zenon_H129 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1bb zenon_H160 zenon_H77 zenon_H120.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.97 apply (zenon_L13_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.97 apply (zenon_L14_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.97 apply (zenon_L1021_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.97 apply (zenon_L856_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.97 apply (zenon_L258_); trivial.
% 21.78/21.97 apply (zenon_L167_); trivial.
% 21.78/21.97 apply (zenon_L867_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/21.97 apply (zenon_L1022_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.97 apply (zenon_L1014_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.97 apply (zenon_L1014_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.97 apply (zenon_L14_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.97 apply (zenon_L217_); trivial.
% 21.78/21.97 apply (zenon_L866_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.97 apply (zenon_L239_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.97 apply (zenon_L850_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.97 apply (zenon_L14_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.97 apply (zenon_L217_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.97 apply (zenon_L865_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.97 apply (zenon_L486_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.97 apply (zenon_L1029_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.97 apply (zenon_L864_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.97 apply (zenon_L439_); trivial.
% 21.78/21.97 apply (zenon_L240_); trivial.
% 21.78/21.97 apply (zenon_L527_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.97 apply (zenon_L214_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.97 apply (zenon_L486_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.97 apply (zenon_L1029_); trivial.
% 21.78/21.97 apply (zenon_L31_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.78/21.97 apply (zenon_L258_); trivial.
% 21.78/21.97 apply (zenon_L167_); trivial.
% 21.78/21.97 apply (zenon_L528_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1030_ *)
% 21.78/21.97 assert (zenon_L1031_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_Hfa zenon_H68 zenon_H25 zenon_H162 zenon_H20b zenon_H73 zenon_H4d zenon_H8a zenon_H111 zenon_Hbb zenon_H177 zenon_H12e zenon_Hc4 zenon_H181 zenon_H18a zenon_H1bb zenon_H3d zenon_H192 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H164 zenon_H160 zenon_H163 zenon_H93 zenon_H195.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.97 apply (zenon_L171_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.78/21.97 apply (zenon_L870_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.78/21.97 apply (zenon_L878_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.78/21.97 apply (zenon_L1013_); trivial.
% 21.78/21.97 exact (zenon_H162 zenon_H167).
% 21.78/21.97 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.97 apply (zenon_L227_); trivial.
% 21.78/21.97 apply (zenon_L228_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1031_ *)
% 21.78/21.97 assert (zenon_L1032_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H82 zenon_H196 zenon_H13a zenon_Ha9 zenon_Hb6 zenon_H155 zenon_H77 zenon_H139 zenon_H48 zenon_Hbc zenon_Hbb zenon_H160 zenon_H7d zenon_H179 zenon_H25 zenon_H212 zenon_H55 zenon_H4d zenon_H156 zenon_Hfa zenon_H68 zenon_H20b zenon_H73 zenon_H8a zenon_H111 zenon_H177 zenon_H12e zenon_H192 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H24e zenon_H164 zenon_H163 zenon_H93 zenon_H195 zenon_He4 zenon_H1bb zenon_H162 zenon_H18a zenon_H181 zenon_Hc4.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.97 apply (zenon_L850_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.97 apply (zenon_L25_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.97 apply (zenon_L1031_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.97 apply (zenon_L486_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.97 apply (zenon_L15_); trivial.
% 21.78/21.97 apply (zenon_L658_); trivial.
% 21.78/21.97 apply (zenon_L211_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1032_ *)
% 21.78/21.97 assert (zenon_L1033_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H82 zenon_H196 zenon_H93 zenon_H177 zenon_H160 zenon_H13a zenon_Ha9 zenon_Hbb zenon_Hb6 zenon_H155 zenon_H77 zenon_H139 zenon_H4e zenon_H4d zenon_H48 zenon_H2d zenon_H1bb zenon_H162 zenon_H18a zenon_H181 zenon_Hc4.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.97 apply (zenon_L850_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.97 apply (zenon_L14_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.97 apply (zenon_L217_); trivial.
% 21.78/21.97 apply (zenon_L211_); trivial.
% 21.78/21.97 (* end of lemma zenon_L1033_ *)
% 21.78/21.97 assert (zenon_L1034_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.78/21.97 do 0 intro. intros zenon_H1fe zenon_H33 zenon_H195 zenon_H163 zenon_H164 zenon_H192 zenon_H12e zenon_H20b zenon_H68 zenon_Hfa zenon_H55 zenon_H212 zenon_H179 zenon_Hbc zenon_H173 zenon_H18a zenon_H48 zenon_H4d zenon_H4e zenon_H139 zenon_H77 zenon_Hb6 zenon_Hbb zenon_Ha9 zenon_H13a zenon_H177 zenon_H93 zenon_H196 zenon_H82 zenon_H73 zenon_H131 zenon_H1f1 zenon_H13f zenon_H117 zenon_Ha0 zenon_H104 zenon_H156 zenon_He4 zenon_H31 zenon_H8a zenon_H111 zenon_H15d zenon_H1bb zenon_H162 zenon_H1c7 zenon_H160 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H181 zenon_Hc4.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.97 apply (zenon_L13_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.97 apply (zenon_L215_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.97 apply (zenon_L184_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.97 apply (zenon_L850_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.97 apply (zenon_L14_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.97 apply (zenon_L912_); trivial.
% 21.78/21.97 apply (zenon_L211_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.97 apply (zenon_L1012_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.97 apply (zenon_L1031_); trivial.
% 21.78/21.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.97 apply (zenon_L239_); trivial.
% 21.78/21.98 apply (zenon_L1032_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.98 apply (zenon_L1014_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.98 apply (zenon_L892_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.98 apply (zenon_L184_); trivial.
% 21.78/21.98 apply (zenon_L1033_); trivial.
% 21.78/21.98 apply (zenon_L870_); trivial.
% 21.78/21.98 (* end of lemma zenon_L1034_ *)
% 21.78/21.98 assert (zenon_L1035_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (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 (e3) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 21.78/21.98 do 0 intro. intros zenon_H99 zenon_H179 zenon_H33 zenon_H1fe zenon_H1cb zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_He4 zenon_H1f1 zenon_H131 zenon_H13f zenon_H104 zenon_H117 zenon_H156 zenon_H13a zenon_H82 zenon_H1a8 zenon_H189 zenon_H121 zenon_H26d zenon_H25b zenon_H186 zenon_H1c6 zenon_H4e zenon_H8a zenon_H111 zenon_H173 zenon_H4d zenon_H195 zenon_Hfa zenon_H12e zenon_H163 zenon_H192 zenon_H19a zenon_H18d zenon_H20f zenon_H129 zenon_H20b zenon_H73 zenon_H164 zenon_H48 zenon_H139 zenon_H196 zenon_H177 zenon_H77 zenon_H68 zenon_H31 zenon_H1bb zenon_H1b4 zenon_H1b7 zenon_H212 zenon_Hbc zenon_H7d zenon_H18a zenon_H1cd zenon_H24e zenon_H15d zenon_Hbb zenon_H55.
% 21.78/21.98 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.78/21.98 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 21.78/21.98 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.78/21.98 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.78/21.98 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.78/21.98 exact (zenon_H1a3 zenon_Hbb).
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.78/21.98 apply (zenon_L1019_); trivial.
% 21.78/21.98 apply (zenon_L1019_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.78/21.98 exact (zenon_H1a3 zenon_Hbb).
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.78/21.98 apply (zenon_L1030_); trivial.
% 21.78/21.98 apply (zenon_L1030_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.78/21.98 exact (zenon_H1a3 zenon_Hbb).
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.78/21.98 apply (zenon_L1034_); trivial.
% 21.78/21.98 apply (zenon_L1034_); trivial.
% 21.78/21.98 apply (zenon_L895_); trivial.
% 21.78/21.98 (* end of lemma zenon_L1035_ *)
% 21.78/21.98 assert (zenon_L1036_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (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 (e2) (e0)) = (op (e2) (e1)))) -> False).
% 21.78/21.98 do 0 intro. intros zenon_H1a2 zenon_Hc4 zenon_H1c7 zenon_H9f zenon_H99 zenon_H179 zenon_H33 zenon_H1fe zenon_H1cb zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_He4 zenon_H1f1 zenon_H131 zenon_H13f zenon_H104 zenon_H117 zenon_H156 zenon_H13a zenon_H82 zenon_H1a8 zenon_H189 zenon_H121 zenon_H26d zenon_H25b zenon_H186 zenon_H1c6 zenon_H4e zenon_H8a zenon_H111 zenon_H173 zenon_H4d zenon_H195 zenon_Hfa zenon_H12e zenon_H163 zenon_H192 zenon_H19a zenon_H18d zenon_H20f zenon_H129 zenon_H20b zenon_H73 zenon_H164 zenon_H48 zenon_H139 zenon_H196 zenon_H177 zenon_H77 zenon_H68 zenon_H31 zenon_H1bb zenon_H1b4 zenon_H1b7 zenon_H212 zenon_Hbc zenon_H7d zenon_H18a zenon_H1cd zenon_H24e zenon_H15d zenon_H55.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.78/21.98 apply (zenon_L68_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.78/21.98 apply (zenon_L124_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.78/21.98 apply (zenon_L819_); trivial.
% 21.78/21.98 apply (zenon_L1035_); trivial.
% 21.78/21.98 (* end of lemma zenon_L1036_ *)
% 21.78/21.98 assert (zenon_L1037_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.78/21.98 do 0 intro. intros zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H4d zenon_H8a zenon_Ha9 zenon_H9d zenon_Hbc.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.78/21.98 apply (zenon_L68_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.78/21.98 apply (zenon_L124_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.78/21.98 apply (zenon_L153_); trivial.
% 21.78/21.98 apply (zenon_L48_); trivial.
% 21.78/21.98 (* end of lemma zenon_L1037_ *)
% 21.78/21.98 assert (zenon_L1038_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (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))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (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 (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.78/21.98 do 0 intro. intros zenon_Hb2 zenon_H55 zenon_H15d zenon_H24e zenon_H1cd zenon_H18a zenon_H7d zenon_H212 zenon_H1b7 zenon_H1b4 zenon_H1bb zenon_H68 zenon_H77 zenon_H177 zenon_H196 zenon_H139 zenon_H48 zenon_H164 zenon_H73 zenon_H20b zenon_H129 zenon_H20f zenon_H18d zenon_H19a zenon_H192 zenon_H163 zenon_H12e zenon_Hfa zenon_H195 zenon_H173 zenon_H111 zenon_H4e zenon_H1c6 zenon_H186 zenon_H25b zenon_H26d zenon_H121 zenon_H189 zenon_H1a8 zenon_H82 zenon_H13a zenon_H156 zenon_H117 zenon_H104 zenon_H13f zenon_H131 zenon_H1f1 zenon_He4 zenon_H1cb zenon_H1fe zenon_H33 zenon_H179 zenon_H99 zenon_H1c7 zenon_Hc4 zenon_H25 zenon_H54 zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H4d zenon_H8a zenon_Ha9 zenon_Hbc.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.78/21.98 apply (zenon_L1036_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.78/21.98 apply (zenon_L116_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.78/21.98 apply (zenon_L151_); trivial.
% 21.78/21.98 apply (zenon_L1037_); trivial.
% 21.78/21.98 (* end of lemma zenon_L1038_ *)
% 21.78/21.98 assert (zenon_L1039_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (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 (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e2) (e2)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.78/21.98 do 0 intro. intros zenon_Hb2 zenon_H55 zenon_H212 zenon_H1b4 zenon_H164 zenon_H73 zenon_H20b zenon_H129 zenon_H20f zenon_H18d zenon_H19a zenon_H192 zenon_H163 zenon_H12e zenon_Hfa zenon_H195 zenon_H173 zenon_H111 zenon_H1c6 zenon_H186 zenon_H25b zenon_H26d zenon_H121 zenon_H189 zenon_H1a8 zenon_H156 zenon_H104 zenon_H1f1 zenon_He4 zenon_H1cb zenon_H1fe zenon_H33 zenon_H179 zenon_H99 zenon_H1a2 zenon_Hbc zenon_H18a zenon_H48 zenon_H4d zenon_H4e zenon_H139 zenon_H77 zenon_Hb6 zenon_H31 zenon_Ha0 zenon_Ha9 zenon_H13a zenon_H177 zenon_H93 zenon_H196 zenon_H82 zenon_H8a zenon_H13f zenon_H131 zenon_H117 zenon_H68 zenon_H15d zenon_H1bb zenon_H162 zenon_H1c7 zenon_H160 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H181 zenon_Hc4.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/21.98 apply (zenon_L913_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.98 apply (zenon_L1012_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.98 apply (zenon_L14_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.98 apply (zenon_L1038_); trivial.
% 21.78/21.98 apply (zenon_L211_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.98 apply (zenon_L1024_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.98 apply (zenon_L892_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.98 apply (zenon_L239_); trivial.
% 21.78/21.98 apply (zenon_L893_); trivial.
% 21.78/21.98 apply (zenon_L870_); trivial.
% 21.78/21.98 (* end of lemma zenon_L1039_ *)
% 21.78/21.98 assert (zenon_L1040_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.78/21.98 do 0 intro. intros zenon_H9b zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H4d zenon_H8a zenon_Ha9 zenon_Hbc.
% 21.78/21.98 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 21.78/21.98 apply (zenon_L1037_); trivial.
% 21.78/21.98 (* end of lemma zenon_L1040_ *)
% 21.78/21.98 assert (zenon_L1041_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.78/21.98 do 0 intro. intros zenon_H1a2 zenon_Ha0 zenon_H31 zenon_H186 zenon_Ha5 zenon_H8a zenon_Ha9 zenon_Hac zenon_H1cd.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.78/21.98 apply (zenon_L68_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.78/21.98 apply (zenon_L308_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.78/21.98 apply (zenon_L153_); trivial.
% 21.78/21.98 apply (zenon_L360_); trivial.
% 21.78/21.98 (* end of lemma zenon_L1041_ *)
% 21.78/21.98 assert (zenon_L1042_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.78/21.98 do 0 intro. intros zenon_Hb1 zenon_H1a2 zenon_Ha0 zenon_H31 zenon_H186 zenon_H8a zenon_Ha9 zenon_H1cd.
% 21.78/21.98 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 21.78/21.98 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 21.78/21.98 apply (zenon_L1041_); trivial.
% 21.78/21.98 (* end of lemma zenon_L1042_ *)
% 21.78/21.98 assert (zenon_L1043_ : ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((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) (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 (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (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 (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> False).
% 21.78/21.98 do 0 intro. intros zenon_Hcc zenon_H1d8 zenon_H55 zenon_H2c zenon_H141 zenon_H15d zenon_H24e zenon_H18a zenon_H7d zenon_H212 zenon_H1b7 zenon_H1b4 zenon_H181 zenon_H1bb zenon_H68 zenon_H77 zenon_H177 zenon_H196 zenon_H139 zenon_H48 zenon_H164 zenon_H73 zenon_H20b zenon_H129 zenon_H20f zenon_H18d zenon_H19a zenon_H192 zenon_H163 zenon_H12e zenon_Hfa zenon_H195 zenon_H173 zenon_H111 zenon_H4e zenon_H1c6 zenon_H25b zenon_H26d zenon_H189 zenon_H1a8 zenon_H82 zenon_H13a zenon_H156 zenon_H117 zenon_H13f zenon_H131 zenon_H1f1 zenon_He4 zenon_H1cb zenon_H1fe zenon_H104 zenon_H121 zenon_Hb2 zenon_H179 zenon_H33 zenon_Hbc zenon_H4d zenon_Hb6 zenon_H1cd zenon_Ha9 zenon_H186 zenon_H31 zenon_Ha0 zenon_H1a2 zenon_H8a.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.78/21.98 apply (zenon_L2_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.78/21.98 apply (zenon_L700_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.78/21.98 apply (zenon_L782_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.78/21.98 apply (zenon_L757_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.78/21.98 apply (zenon_L758_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.78/21.98 apply (zenon_L11_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.78/21.98 apply (zenon_L787_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.78/21.98 apply (zenon_L335_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.78/21.98 apply (zenon_L814_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.78/21.98 apply (zenon_L88_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.78/21.98 apply (zenon_L37_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.78/21.98 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.78/21.98 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 21.78/21.98 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.78/21.98 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.78/21.98 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.78/21.98 apply (zenon_L1020_); trivial.
% 21.78/21.98 apply (zenon_L1020_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.78/21.98 apply (zenon_L1027_); trivial.
% 21.78/21.98 apply (zenon_L1027_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.78/21.98 apply (zenon_L1039_); trivial.
% 21.78/21.98 apply (zenon_L1039_); trivial.
% 21.78/21.98 apply (zenon_L434_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.78/21.98 apply (zenon_L1040_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.78/21.98 apply (zenon_L1042_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.78/21.98 apply (zenon_L792_); trivial.
% 21.78/21.98 apply (zenon_L51_); trivial.
% 21.78/21.98 (* end of lemma zenon_L1043_ *)
% 21.78/21.98 assert (zenon_L1044_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (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 (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> False).
% 21.78/21.98 do 0 intro. intros zenon_H271 zenon_H31 zenon_H1d8 zenon_H8a zenon_H26d zenon_H4d zenon_H4e zenon_H186 zenon_H68 zenon_H131 zenon_H55 zenon_H2c zenon_H141 zenon_H1a2 zenon_H15d zenon_H24e zenon_H1cd zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H1b7 zenon_H1b4 zenon_H1bb zenon_H77 zenon_H177 zenon_H196 zenon_H139 zenon_H48 zenon_H164 zenon_H73 zenon_H20b zenon_H129 zenon_H20f zenon_H18d zenon_H19a zenon_H192 zenon_H163 zenon_H12e zenon_Hfa zenon_H195 zenon_H173 zenon_H111 zenon_H1c6 zenon_H25b zenon_H189 zenon_H1a8 zenon_H82 zenon_H13a zenon_H156 zenon_H117 zenon_H13f zenon_H1f1 zenon_He4 zenon_Ha9 zenon_H1cb zenon_H1fe zenon_H104 zenon_H121 zenon_Hb6 zenon_Ha0 zenon_Hb2 zenon_H179 zenon_H33 zenon_Hcc.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H181 | zenon_intro zenon_Hbb ].
% 21.78/21.98 apply (zenon_L1043_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.78/21.98 apply (zenon_L2_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.78/21.98 apply (zenon_L700_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.78/21.98 apply (zenon_L782_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.78/21.98 apply (zenon_L757_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.78/21.98 apply (zenon_L758_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.78/21.98 apply (zenon_L11_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.78/21.98 apply (zenon_L787_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.78/21.98 apply (zenon_L335_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.78/21.98 apply (zenon_L789_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.78/21.98 apply (zenon_L343_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.78/21.98 apply (zenon_L37_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.78/21.98 apply (zenon_L1035_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.78/21.98 apply (zenon_L791_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.78/21.98 apply (zenon_L361_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.78/21.98 apply (zenon_L792_); trivial.
% 21.78/21.98 apply (zenon_L51_); trivial.
% 21.78/21.98 (* end of lemma zenon_L1044_ *)
% 21.78/21.98 assert (zenon_L1045_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> False).
% 21.78/21.98 do 0 intro. intros zenon_H277 zenon_H31 zenon_H1d8 zenon_H16a zenon_Hf0 zenon_H68 zenon_H13e zenon_H131 zenon_H1ef zenon_H26d zenon_H4e zenon_H73 zenon_H13c zenon_H156 zenon_H117 zenon_H12e zenon_H18a zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H1b4 zenon_H271 zenon_H1bb zenon_H13a zenon_Ha9 zenon_H15d zenon_H77 zenon_H1fe zenon_H48 zenon_H55 zenon_H125 zenon_H1d5 zenon_H164 zenon_H104 zenon_Hfa zenon_H195 zenon_H163 zenon_Hb6 zenon_H18d zenon_H189 zenon_Ha0 zenon_H1b7 zenon_H19a zenon_H13f zenon_H94 zenon_H1a2 zenon_H1cb zenon_H26a zenon_H22d zenon_H179 zenon_H1cf zenon_H141 zenon_H82 zenon_H173 zenon_H196 zenon_H139 zenon_H190 zenon_H186 zenon_H2c zenon_H129 zenon_H177 zenon_H7d zenon_H24e zenon_H5d zenon_Hb2 zenon_H121 zenon_H1f1 zenon_H1a8 zenon_H212 zenon_He4 zenon_H25b zenon_H20f zenon_Hf5 zenon_H25e zenon_H192 zenon_H11a zenon_H33 zenon_H1c6 zenon_H1c3 zenon_H109 zenon_H201 zenon_H6f zenon_H266 zenon_H20b zenon_Hef.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H4d ].
% 21.78/21.98 exact (zenon_H1b3 zenon_Hef).
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H8b | zenon_intro zenon_H8a ].
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H181 | zenon_intro zenon_Hbb ].
% 21.78/21.98 apply (zenon_L1007_); trivial.
% 21.78/21.98 apply (zenon_L1011_); trivial.
% 21.78/21.98 apply (zenon_L1044_); trivial.
% 21.78/21.98 (* end of lemma zenon_L1045_ *)
% 21.78/21.98 assert (zenon_L1046_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e2)) -> ((op (e2) (e3)) = (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 (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.98 do 0 intro. intros zenon_H18d zenon_H1cb zenon_Hbb zenon_H13a zenon_H7e zenon_H7d zenon_H16a zenon_H7b zenon_H8b zenon_H129 zenon_H4d zenon_H156 zenon_He4 zenon_H177 zenon_H13c zenon_H25 zenon_Ha9 zenon_H1bb zenon_H77 zenon_Hf7 zenon_Hb9 zenon_H25e zenon_H136 zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H117 zenon_Hb6 zenon_H54 zenon_H10c zenon_Hf0 zenon_H14c zenon_Ha0 zenon_H196.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.78/21.98 apply (zenon_L943_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.78/21.98 apply (zenon_L206_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.78/21.98 apply (zenon_L182_); trivial.
% 21.78/21.98 apply (zenon_L941_); trivial.
% 21.78/21.98 (* end of lemma zenon_L1046_ *)
% 21.78/21.98 assert (zenon_L1047_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (((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 (e1) (e2)) = (e3)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> False).
% 21.78/21.98 do 0 intro. intros zenon_H201 zenon_H48 zenon_Hb6 zenon_H1bf zenon_H1cf zenon_H68 zenon_H31 zenon_Ha9 zenon_H133 zenon_H8b zenon_H77.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.78/21.98 apply (zenon_L239_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.78/21.98 apply (zenon_L124_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.78/21.98 exact (zenon_H1bf zenon_H105).
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.98 apply (zenon_L264_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.98 apply (zenon_L436_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.98 exact (zenon_H8b zenon_H8a).
% 21.78/21.98 apply (zenon_L367_); trivial.
% 21.78/21.98 (* end of lemma zenon_L1047_ *)
% 21.78/21.98 assert (zenon_L1048_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (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) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> False).
% 21.78/21.98 do 0 intro. intros zenon_H24 zenon_Hb9 zenon_Ha0 zenon_H13f zenon_H7e zenon_H67 zenon_H18d zenon_H1cb zenon_Hbb zenon_H13a zenon_H7d zenon_H16a zenon_H7b zenon_H8b zenon_H129 zenon_H156 zenon_He4 zenon_H177 zenon_H13c zenon_H25 zenon_H1bb zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H117 zenon_Hf0 zenon_H196 zenon_H31 zenon_H26d zenon_H19a zenon_H6d zenon_H77 zenon_H1bf zenon_H68 zenon_H48 zenon_H16b zenon_H141 zenon_Hb6 zenon_H4d zenon_Ha9 zenon_Hf7.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.98 apply (zenon_L900_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.98 apply (zenon_L627_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.98 apply (zenon_L54_); trivial.
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.98 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.78/21.99 apply (zenon_L756_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.78/21.99 apply (zenon_L1046_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.78/21.99 apply (zenon_L77_); trivial.
% 21.78/21.99 apply (zenon_L547_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.78/21.99 apply (zenon_L56_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.78/21.99 exact (zenon_H1bf zenon_H105).
% 21.78/21.99 apply (zenon_L182_); trivial.
% 21.78/21.99 apply (zenon_L77_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.99 apply (zenon_L124_); trivial.
% 21.78/21.99 apply (zenon_L299_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1048_ *)
% 21.78/21.99 assert (zenon_L1049_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.78/21.99 do 0 intro. intros zenon_He4 zenon_Hb6 zenon_Hdb zenon_H156 zenon_H4d zenon_H94 zenon_Hb9 zenon_H7b zenon_H55 zenon_H92 zenon_H13e zenon_H1bf zenon_H1ef zenon_H89 zenon_H22d zenon_H8b zenon_H77 zenon_H16a zenon_H7d zenon_H7e.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.99 apply (zenon_L55_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.99 apply (zenon_L486_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.99 apply (zenon_L998_); trivial.
% 21.78/21.99 apply (zenon_L31_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1049_ *)
% 21.78/21.99 assert (zenon_L1050_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (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 (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (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 (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> False).
% 21.78/21.99 do 0 intro. intros zenon_H24 zenon_Hb9 zenon_Ha0 zenon_H1d5 zenon_H67 zenon_H19a zenon_H26d zenon_H196 zenon_Hf0 zenon_H54 zenon_H117 zenon_H9f zenon_H1b4 zenon_Hf5 zenon_H25e zenon_H1cf zenon_H68 zenon_H31 zenon_H8b zenon_H77 zenon_H212 zenon_H25 zenon_H179 zenon_H7d zenon_Hbb zenon_Hbc zenon_H1bb zenon_H13c zenon_H177 zenon_He4 zenon_H156 zenon_H129 zenon_H7b zenon_H16a zenon_H155 zenon_H13a zenon_H1cb zenon_H12e zenon_H25b zenon_H20f zenon_H186 zenon_H195 zenon_H6d zenon_H48 zenon_H141 zenon_Hb6 zenon_H4d zenon_Ha9 zenon_Hf7.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.99 apply (zenon_L900_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.99 apply (zenon_L217_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.99 apply (zenon_L54_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.99 apply (zenon_L944_); trivial.
% 21.78/21.99 apply (zenon_L77_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.99 apply (zenon_L124_); trivial.
% 21.78/21.99 apply (zenon_L299_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1050_ *)
% 21.78/21.99 assert (zenon_L1051_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((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) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (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 (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (((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 (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (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) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.78/21.99 do 0 intro. intros zenon_H20b zenon_H266 zenon_H6f zenon_H109 zenon_H1c3 zenon_H1c6 zenon_H33 zenon_H11a zenon_H192 zenon_H1f1 zenon_H121 zenon_Hb2 zenon_H5d zenon_H24e zenon_H190 zenon_H82 zenon_H22d zenon_H26a zenon_H1a2 zenon_H94 zenon_H13f zenon_H1b7 zenon_H189 zenon_H18d zenon_H163 zenon_Hfa zenon_H104 zenon_H164 zenon_H125 zenon_H55 zenon_H1fe zenon_H15d zenon_H271 zenon_H111 zenon_Hcc zenon_H270 zenon_H18a zenon_H73 zenon_H4e zenon_H1ef zenon_H131 zenon_H13e zenon_H1d8 zenon_H277 zenon_H1bf zenon_H201 zenon_H1a8 zenon_H3d zenon_H173 zenon_H2c zenon_H16b zenon_H139 zenon_Ha9 zenon_H4d zenon_Hb6 zenon_H141 zenon_H48 zenon_H195 zenon_H20f zenon_H25b zenon_H12e zenon_H1cb zenon_H13a zenon_H155 zenon_H16a zenon_H7b zenon_H129 zenon_H156 zenon_He4 zenon_H177 zenon_H13c zenon_H1bb zenon_Hbc zenon_Hbb zenon_H7d zenon_H179 zenon_H25 zenon_H212 zenon_H77 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H117 zenon_H54 zenon_Hf0 zenon_H196 zenon_H26d zenon_H19a zenon_H67 zenon_H1d5 zenon_Ha0 zenon_Hb9 zenon_H24 zenon_H1cf zenon_H68 zenon_H31 zenon_H186 zenon_H8b zenon_H1cd.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.99 apply (zenon_L171_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.99 apply (zenon_L1045_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.99 apply (zenon_L678_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.99 apply (zenon_L214_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.99 apply (zenon_L745_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.99 apply (zenon_L1050_); trivial.
% 21.78/21.99 apply (zenon_L709_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1051_ *)
% 21.78/21.99 assert (zenon_L1052_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 21.78/21.99 do 0 intro. intros zenon_H201 zenon_H48 zenon_H31 zenon_H156 zenon_H3f zenon_H1bf zenon_Hb6 zenon_Hbb.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.78/21.99 apply (zenon_L239_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.78/21.99 apply (zenon_L486_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.78/21.99 exact (zenon_H1bf zenon_H105).
% 21.78/21.99 apply (zenon_L363_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1052_ *)
% 21.78/21.99 assert (zenon_L1053_ : (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e2)) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (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 (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.99 do 0 intro. intros zenon_Ha0 zenon_H13f zenon_H4d zenon_H186 zenon_H20f zenon_H25b zenon_H1bb zenon_Hf7 zenon_H25 zenon_H13c zenon_Hf0 zenon_H117 zenon_H9f zenon_H1b4 zenon_Hf5 zenon_H25e zenon_H196 zenon_H177 zenon_He4 zenon_H156 zenon_H129 zenon_H7b zenon_H16a zenon_H7d zenon_H7e zenon_H155 zenon_H13a zenon_Hbb zenon_H1cb zenon_H19a zenon_H6d zenon_H16b zenon_H141 zenon_H77 zenon_H8b zenon_Ha9 zenon_H31 zenon_H68 zenon_H1cf zenon_H1bf zenon_Hb6 zenon_H48 zenon_H201 zenon_Hb9 zenon_H195.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.99 apply (zenon_L116_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.99 apply (zenon_L627_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.99 apply (zenon_L54_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.78/21.99 apply (zenon_L246_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.78/21.99 apply (zenon_L943_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.78/21.99 apply (zenon_L77_); trivial.
% 21.78/21.99 apply (zenon_L684_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.78/21.99 apply (zenon_L56_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.78/21.99 exact (zenon_H1bf zenon_H105).
% 21.78/21.99 apply (zenon_L182_); trivial.
% 21.78/21.99 apply (zenon_L77_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.99 apply (zenon_L1047_); trivial.
% 21.78/21.99 apply (zenon_L172_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1053_ *)
% 21.78/21.99 assert (zenon_L1054_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (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) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (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 (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.99 do 0 intro. intros zenon_H13c zenon_H24 zenon_Ha0 zenon_H1d5 zenon_H67 zenon_H4e zenon_H76 zenon_H19a zenon_H26d zenon_H196 zenon_Hf0 zenon_H54 zenon_H117 zenon_H9f zenon_H1b4 zenon_Hf5 zenon_H25e zenon_H1bb zenon_H18a zenon_H34 zenon_H1b7 zenon_H1cb zenon_Hc0 zenon_H129 zenon_H12e zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H6d zenon_H141 zenon_H77 zenon_H8b zenon_Ha9 zenon_H31 zenon_H68 zenon_H1cf zenon_H1bf zenon_Hb6 zenon_H48 zenon_H201 zenon_Hb9 zenon_H195.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.99 apply (zenon_L900_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.99 apply (zenon_L217_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.99 apply (zenon_L54_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.99 apply (zenon_L949_); trivial.
% 21.78/21.99 apply (zenon_L77_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.99 apply (zenon_L1047_); trivial.
% 21.78/21.99 apply (zenon_L172_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1054_ *)
% 21.78/21.99 assert (zenon_L1055_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (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) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (((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) (e2)) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (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) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e0)) -> False).
% 21.78/21.99 do 0 intro. intros zenon_H20b zenon_H266 zenon_H6f zenon_H109 zenon_H1c3 zenon_H1c6 zenon_H33 zenon_H11a zenon_He4 zenon_H212 zenon_H1a8 zenon_H1f1 zenon_H121 zenon_Hb2 zenon_H5d zenon_H24e zenon_H7d zenon_H177 zenon_H2c zenon_H190 zenon_H139 zenon_H173 zenon_H82 zenon_H179 zenon_H22d zenon_H26a zenon_H1a2 zenon_H94 zenon_H13f zenon_H189 zenon_H18d zenon_Hfa zenon_H104 zenon_H164 zenon_H125 zenon_H55 zenon_H1fe zenon_H15d zenon_H13a zenon_H271 zenon_H111 zenon_Hbc zenon_H1cd zenon_Hcc zenon_H270 zenon_H156 zenon_H73 zenon_H1ef zenon_H131 zenon_H13e zenon_H16a zenon_H1d8 zenon_H277 zenon_H195 zenon_Hb9 zenon_H201 zenon_Hb6 zenon_H1bf zenon_H1cf zenon_H68 zenon_H31 zenon_Ha9 zenon_H8b zenon_H77 zenon_H141 zenon_H186 zenon_H20f zenon_H25b zenon_H129 zenon_Hc0 zenon_H1cb zenon_H1b7 zenon_H18a zenon_H1bb zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H117 zenon_H54 zenon_Hf0 zenon_H196 zenon_H26d zenon_H19a zenon_H76 zenon_H4e zenon_H67 zenon_H1d5 zenon_Ha0 zenon_H24 zenon_H13c zenon_H12e zenon_H48 zenon_H34 zenon_H3d zenon_H192 zenon_H4d zenon_H163 zenon_He7.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.99 apply (zenon_L214_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.99 apply (zenon_L1045_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.99 apply (zenon_L1054_); trivial.
% 21.78/21.99 apply (zenon_L965_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1055_ *)
% 21.78/21.99 assert (zenon_L1056_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (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 (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.99 do 0 intro. intros zenon_H1cf zenon_H1d5 zenon_H67 zenon_Hf7 zenon_H186 zenon_H8b zenon_H12e zenon_H48 zenon_H129 zenon_Hc0 zenon_H1cb zenon_H1b7 zenon_H34 zenon_H18a zenon_H1bb zenon_H77 zenon_H25e zenon_H136 zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H117 zenon_Hb6 zenon_H54 zenon_H10c zenon_Hf0 zenon_H14c zenon_Ha0 zenon_H196.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.99 apply (zenon_L252_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.99 apply (zenon_L438_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.99 exact (zenon_H8b zenon_H8a).
% 21.78/21.99 apply (zenon_L947_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1056_ *)
% 21.78/21.99 assert (zenon_L1057_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e2) (e3)) = (e3)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (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) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e0)) -> False).
% 21.78/21.99 do 0 intro. intros zenon_H13c zenon_H24 zenon_Hb9 zenon_H1cf zenon_H1d5 zenon_H67 zenon_Hf7 zenon_H186 zenon_H8b zenon_H12e zenon_H48 zenon_H129 zenon_Hc0 zenon_H1cb zenon_H1b7 zenon_H34 zenon_H18a zenon_H1bb zenon_H77 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H117 zenon_H54 zenon_Hf0 zenon_H196 zenon_H68 zenon_H6d zenon_H109 zenon_H141 zenon_Hb6 zenon_H4d zenon_Ha0 zenon_H136.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.99 apply (zenon_L900_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.99 apply (zenon_L359_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.99 apply (zenon_L54_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.99 apply (zenon_L1056_); trivial.
% 21.78/21.99 apply (zenon_L77_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.99 apply (zenon_L124_); trivial.
% 21.78/21.99 apply (zenon_L90_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1057_ *)
% 21.78/21.99 assert (zenon_L1058_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.78/21.99 do 0 intro. intros zenon_H1cf zenon_H68 zenon_H1cd zenon_H1bf zenon_H77 zenon_H31 zenon_H48 zenon_H201 zenon_H8b zenon_H1bb zenon_H18a zenon_H34 zenon_H1b7 zenon_H7f zenon_H1cb zenon_Hc0 zenon_H129.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.99 apply (zenon_L264_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.99 apply (zenon_L746_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.99 exact (zenon_H8b zenon_H8a).
% 21.78/21.99 apply (zenon_L946_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1058_ *)
% 21.78/21.99 assert (zenon_L1059_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.78/21.99 do 0 intro. intros zenon_He4 zenon_Hdb zenon_Hbb zenon_Hb6 zenon_H156 zenon_H16b zenon_H7b zenon_H16a zenon_H1cf zenon_H68 zenon_H1cd zenon_H1bf zenon_H77 zenon_H31 zenon_H48 zenon_H201 zenon_H8b zenon_H1bb zenon_H18a zenon_H34 zenon_H1b7 zenon_H1cb zenon_Hc0 zenon_H129.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.99 apply (zenon_L55_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.99 apply (zenon_L1052_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.99 apply (zenon_L378_); trivial.
% 21.78/21.99 apply (zenon_L1058_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1059_ *)
% 21.78/21.99 assert (zenon_L1060_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (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) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((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 (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> False).
% 21.78/21.99 do 0 intro. intros zenon_H13c zenon_Hb9 zenon_Ha0 zenon_H1d5 zenon_H67 zenon_H26d zenon_H196 zenon_H9f zenon_H1b4 zenon_Hf5 zenon_H25e zenon_H212 zenon_H25 zenon_H179 zenon_H7d zenon_Hbb zenon_Hbc zenon_H1bb zenon_H177 zenon_He4 zenon_H156 zenon_H129 zenon_H7b zenon_H16a zenon_H19a zenon_H13a zenon_H1a2 zenon_H1cb zenon_H12e zenon_H191 zenon_Hf0 zenon_H54 zenon_H117 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H195 zenon_H6d zenon_H141 zenon_H77 zenon_H8b zenon_H31 zenon_H68 zenon_H1cf zenon_H1bf zenon_Hb6 zenon_H48 zenon_H201 zenon_Ha9 zenon_Hf7.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.99 apply (zenon_L116_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.99 apply (zenon_L217_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.99 apply (zenon_L54_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.99 apply (zenon_L959_); trivial.
% 21.78/21.99 apply (zenon_L77_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.99 apply (zenon_L1047_); trivial.
% 21.78/21.99 apply (zenon_L299_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1060_ *)
% 21.78/21.99 assert (zenon_L1061_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (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) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.78/21.99 do 0 intro. intros zenon_H1a8 zenon_H139 zenon_H164 zenon_Hc0 zenon_H104 zenon_H192 zenon_H13e zenon_H1ef zenon_H3d zenon_H125 zenon_Ha9 zenon_H201 zenon_H48 zenon_Hb6 zenon_H1bf zenon_H77 zenon_H141 zenon_H195 zenon_H4d zenon_H20f zenon_H25b zenon_H117 zenon_H54 zenon_Hf0 zenon_H191 zenon_H12e zenon_H1cb zenon_H1a2 zenon_H13a zenon_H19a zenon_H16a zenon_H7b zenon_H129 zenon_H156 zenon_He4 zenon_H177 zenon_H1bb zenon_Hbc zenon_Hbb zenon_H7d zenon_H179 zenon_H25 zenon_H212 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H196 zenon_H26d zenon_H67 zenon_H1d5 zenon_Ha0 zenon_Hb9 zenon_H13c zenon_H1cf zenon_H68 zenon_H31 zenon_Hf7 zenon_H186 zenon_H8b zenon_H1cd.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.99 apply (zenon_L214_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.99 apply (zenon_L995_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.99 apply (zenon_L1060_); trivial.
% 21.78/21.99 apply (zenon_L709_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1061_ *)
% 21.78/21.99 assert (zenon_L1062_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e3)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> (~((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 (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> False).
% 21.78/21.99 do 0 intro. intros zenon_H141 zenon_H13e zenon_H1bf zenon_H1ef zenon_H89 zenon_H195 zenon_H10c zenon_H4d zenon_H186 zenon_H20f zenon_H25b zenon_H117 zenon_Hb6 zenon_H54 zenon_Hf0 zenon_H191 zenon_H12e zenon_H1cb zenon_H1a2 zenon_H13a zenon_H19a zenon_H16a zenon_H7b zenon_H129 zenon_H156 zenon_He4 zenon_H177 zenon_H1bb zenon_Hbc zenon_Hbb zenon_H7d zenon_H179 zenon_H25 zenon_H212 zenon_H77 zenon_H8b zenon_Hf7 zenon_H31 zenon_H68 zenon_H1cf zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H196 zenon_H26d zenon_H67 zenon_H1d5 zenon_Ha0 zenon_Hb9.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.99 apply (zenon_L645_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.99 apply (zenon_L939_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.99 apply (zenon_L959_); trivial.
% 21.78/21.99 apply (zenon_L77_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1062_ *)
% 21.78/21.99 assert (zenon_L1063_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (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) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> False).
% 21.78/21.99 do 0 intro. intros zenon_H13c zenon_H24 zenon_Hb9 zenon_H6d zenon_H141 zenon_H13e zenon_H1ef zenon_H89 zenon_H195 zenon_H4d zenon_H186 zenon_H20f zenon_H25b zenon_H117 zenon_Hf0 zenon_H191 zenon_H12e zenon_H1cb zenon_H1a2 zenon_H13a zenon_H19a zenon_H16a zenon_H7b zenon_H129 zenon_H156 zenon_He4 zenon_H177 zenon_H1bb zenon_Hbc zenon_Hbb zenon_H7d zenon_H179 zenon_H25 zenon_H212 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H196 zenon_H26d zenon_H67 zenon_H1d5 zenon_Ha0 zenon_H13f zenon_H77 zenon_H8b zenon_H31 zenon_H68 zenon_H1cf zenon_H1bf zenon_Hb6 zenon_H48 zenon_H201 zenon_Ha9 zenon_Hf7.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.99 apply (zenon_L900_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.78/21.99 apply (zenon_L1062_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.78/21.99 apply (zenon_L56_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.78/21.99 exact (zenon_H1bf zenon_H105).
% 21.78/21.99 apply (zenon_L182_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.99 apply (zenon_L1047_); trivial.
% 21.78/21.99 apply (zenon_L299_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1063_ *)
% 21.78/21.99 assert (zenon_L1064_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (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) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.78/21.99 do 0 intro. intros zenon_Hfa zenon_H155 zenon_H173 zenon_H22d zenon_H89 zenon_H92 zenon_H55 zenon_H94 zenon_H18a zenon_H1b7 zenon_H271 zenon_H1d8 zenon_H111 zenon_Hcc zenon_H270 zenon_H1a8 zenon_H139 zenon_H164 zenon_Hc0 zenon_H104 zenon_H192 zenon_H13e zenon_H1ef zenon_H3d zenon_H125 zenon_Ha9 zenon_H201 zenon_H48 zenon_Hb6 zenon_H1bf zenon_H77 zenon_H141 zenon_H195 zenon_H4d zenon_H20f zenon_H25b zenon_H117 zenon_H54 zenon_Hf0 zenon_H191 zenon_H12e zenon_H1cb zenon_H1a2 zenon_H13a zenon_H19a zenon_H16a zenon_H7b zenon_H129 zenon_H156 zenon_He4 zenon_H177 zenon_H1bb zenon_Hbc zenon_Hbb zenon_H7d zenon_H179 zenon_H25 zenon_H212 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H196 zenon_H26d zenon_H67 zenon_H1d5 zenon_Ha0 zenon_Hb9 zenon_H13c zenon_H1cf zenon_H68 zenon_H31 zenon_H186 zenon_H8b zenon_H1cd.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.99 apply (zenon_L171_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.99 apply (zenon_L1000_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.99 apply (zenon_L678_); trivial.
% 21.78/21.99 apply (zenon_L1061_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1064_ *)
% 21.78/21.99 assert (zenon_L1065_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> False).
% 21.78/21.99 do 0 intro. intros zenon_H2c zenon_H9f zenon_Ha8.
% 21.78/21.99 cut (((op (e0) (e0)) = (e3)) = ((op (e0) (e0)) = (op (e2) (e0)))).
% 21.78/21.99 intro zenon_D_pnotp.
% 21.78/21.99 apply zenon_H2c.
% 21.78/21.99 rewrite <- zenon_D_pnotp.
% 21.78/21.99 exact zenon_H9f.
% 21.78/21.99 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 21.78/21.99 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 21.78/21.99 congruence.
% 21.78/21.99 apply zenon_H27. apply refl_equal.
% 21.78/21.99 apply zenon_Hba. apply sym_equal. exact zenon_Ha8.
% 21.78/21.99 (* end of lemma zenon_L1065_ *)
% 21.78/21.99 assert (zenon_L1066_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e1)) -> False).
% 21.78/21.99 do 0 intro. intros zenon_H117 zenon_H9f zenon_H2c zenon_Ha9 zenon_H6d zenon_H191 zenon_Hb6 zenon_H128.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.78/21.99 apply (zenon_L1065_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.78/21.99 apply (zenon_L289_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.78/21.99 exact (zenon_H191 zenon_H110).
% 21.78/21.99 apply (zenon_L182_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1066_ *)
% 21.78/21.99 assert (zenon_L1067_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((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)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (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) (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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.78/21.99 do 0 intro. intros zenon_Hfa zenon_H1a8 zenon_H3d zenon_H192 zenon_H104 zenon_H67 zenon_Hc0 zenon_H12e zenon_H270 zenon_Hcc zenon_Hbc zenon_H111 zenon_H139 zenon_H1d8 zenon_H271 zenon_H1b7 zenon_H18a zenon_H164 zenon_H201 zenon_H1d5 zenon_H25 zenon_H195 zenon_Hb9 zenon_H4d zenon_Hb6 zenon_H141 zenon_H13e zenon_H1ef zenon_H89 zenon_H191 zenon_Ha9 zenon_H2c zenon_H9f zenon_H117 zenon_H1bf zenon_H77 zenon_H48 zenon_H155 zenon_H1cb zenon_H1a2 zenon_H13a zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H19a zenon_H7e zenon_H7d zenon_H16a zenon_H7b zenon_H129 zenon_H156 zenon_He4 zenon_H177 zenon_Hbb zenon_H196 zenon_H1bb zenon_Hf0 zenon_H25b zenon_H20f zenon_H13f zenon_Ha0 zenon_H24 zenon_H13c zenon_H1cf zenon_H68 zenon_H31 zenon_H186 zenon_H8b zenon_H1cd.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.99 apply (zenon_L171_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.99 apply (zenon_L997_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.99 apply (zenon_L59_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.99 apply (zenon_L214_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.99 apply (zenon_L997_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.99 apply (zenon_L900_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.99 apply (zenon_L645_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.99 apply (zenon_L54_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.78/21.99 apply (zenon_L246_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.78/21.99 apply (zenon_L958_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.78/21.99 apply (zenon_L648_); trivial.
% 21.78/21.99 apply (zenon_L684_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.78/21.99 apply (zenon_L56_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.78/21.99 exact (zenon_H1bf zenon_H105).
% 21.78/21.99 apply (zenon_L1066_); trivial.
% 21.78/21.99 apply (zenon_L77_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.99 apply (zenon_L124_); trivial.
% 21.78/21.99 apply (zenon_L172_); trivial.
% 21.78/21.99 apply (zenon_L709_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1067_ *)
% 21.78/21.99 assert (zenon_L1068_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((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)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (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 (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.78/21.99 do 0 intro. intros zenon_H1d5 zenon_H67 zenon_Hf7 zenon_H186 zenon_H8b zenon_H12e zenon_H48 zenon_H1cb zenon_H191 zenon_H4d zenon_H31 zenon_H1a2 zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H139 zenon_H1d8 zenon_H271 zenon_H68 zenon_H1cf zenon_H1b7 zenon_H34 zenon_H18a zenon_H1bb zenon_H77 zenon_H25e zenon_H136 zenon_Hf5 zenon_H1b4 zenon_H9f zenon_H117 zenon_Hb6 zenon_H54 zenon_H10c zenon_Hf0 zenon_H14c zenon_Ha0 zenon_H196.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.99 apply (zenon_L252_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.99 apply (zenon_L438_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.99 exact (zenon_H8b zenon_H8a).
% 21.78/21.99 apply (zenon_L963_); trivial.
% 21.78/21.99 (* end of lemma zenon_L1068_ *)
% 21.78/21.99 assert (zenon_L1069_ : ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((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 (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((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 (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (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) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> False).
% 21.78/21.99 do 0 intro. intros zenon_H8f zenon_H92 zenon_H270 zenon_Hcc zenon_H111 zenon_H1d8 zenon_H271 zenon_H1a2 zenon_H22d zenon_H26a zenon_H94 zenon_H189 zenon_H18d zenon_H55 zenon_H104 zenon_H125 zenon_H1ef zenon_H13e zenon_He2 zenon_H68 zenon_H67 zenon_H15d zenon_H2c zenon_H139 zenon_Hf0 zenon_H26d zenon_Ha9 zenon_H117 zenon_H1cb zenon_H141 zenon_H24 zenon_H82 zenon_H73 zenon_H1d5 zenon_H156 zenon_H179 zenon_Hbc zenon_H212 zenon_H1cf zenon_H48 zenon_H192 zenon_H77 zenon_H25e zenon_H1b4 zenon_Hf5 zenon_H20f zenon_H25b zenon_H12e zenon_H31 zenon_H1bb zenon_Hc0 zenon_H19a zenon_H186 zenon_He4 zenon_H7d zenon_H129 zenon_H16a zenon_H164 zenon_H8b zenon_H1a8 zenon_H1cd zenon_Hfa zenon_Hb6 zenon_H13c zenon_Hb9 zenon_H195 zenon_H4d zenon_H173 zenon_Ha0 zenon_H177 zenon_Hbb zenon_H196 zenon_H13a zenon_H13f zenon_H131 zenon_H4e zenon_H163 zenon_H1b7 zenon_H18a zenon_H109 zenon_H13b zenon_H1fe zenon_H277 zenon_H190 zenon_H24e zenon_H5d zenon_Hb2 zenon_H121 zenon_H1f1 zenon_H11a zenon_H33 zenon_H1c6 zenon_H1c3 zenon_H201 zenon_H6f zenon_H266 zenon_H20b zenon_H89 zenon_H91.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.78/21.99 apply (zenon_L954_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/21.99 apply (zenon_L20_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.99 apply (zenon_L251_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.99 apply (zenon_L938_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.99 apply (zenon_L184_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.99 apply (zenon_L744_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.99 apply (zenon_L14_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.99 apply (zenon_L171_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.99 apply (zenon_L957_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.99 apply (zenon_L59_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.99 apply (zenon_L900_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.99 apply (zenon_L217_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.99 apply (zenon_L939_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.99 apply (zenon_L959_); trivial.
% 21.78/21.99 apply (zenon_L648_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.99 apply (zenon_L124_); trivial.
% 21.78/21.99 apply (zenon_L299_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.99 apply (zenon_L933_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.99 apply (zenon_L68_); trivial.
% 21.78/21.99 apply (zenon_L154_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.99 apply (zenon_L171_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.99 apply (zenon_L961_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.99 apply (zenon_L59_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.99 apply (zenon_L214_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.99 apply (zenon_L961_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.99 exact (zenon_H1ba zenon_H6d).
% 21.78/21.99 apply (zenon_L709_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.99 apply (zenon_L486_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.99 apply (zenon_L767_); trivial.
% 21.78/21.99 apply (zenon_L31_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.99 apply (zenon_L933_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.99 apply (zenon_L178_); trivial.
% 21.78/21.99 apply (zenon_L115_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/21.99 apply (zenon_L755_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.99 apply (zenon_L251_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.99 apply (zenon_L251_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.99 apply (zenon_L14_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.99 apply (zenon_L971_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.99 apply (zenon_L55_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.99 apply (zenon_L68_); trivial.
% 21.78/21.99 apply (zenon_L154_); trivial.
% 21.78/21.99 apply (zenon_L456_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.99 apply (zenon_L239_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.99 apply (zenon_L744_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.99 apply (zenon_L14_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.99 apply (zenon_L971_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.99 apply (zenon_L972_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.99 apply (zenon_L178_); trivial.
% 21.78/21.99 apply (zenon_L115_); trivial.
% 21.78/21.99 apply (zenon_L456_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/21.99 apply (zenon_L20_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.99 apply (zenon_L934_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.99 apply (zenon_L934_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.99 apply (zenon_L25_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.99 apply (zenon_L171_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.99 apply (zenon_L1045_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.99 apply (zenon_L678_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.99 apply (zenon_L214_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.99 apply (zenon_L779_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.99 apply (zenon_L116_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.99 apply (zenon_L217_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.99 apply (zenon_L54_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.78/21.99 apply (zenon_L264_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.78/21.99 apply (zenon_L438_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.78/21.99 exact (zenon_H8b zenon_H8a).
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.78/21.99 apply (zenon_L756_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.78/21.99 apply (zenon_L1046_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.78/21.99 apply (zenon_L658_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.78/21.99 apply (zenon_L367_); trivial.
% 21.78/21.99 apply (zenon_L941_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.78/21.99 apply (zenon_L77_); trivial.
% 21.78/21.99 apply (zenon_L684_); trivial.
% 21.78/21.99 apply (zenon_L77_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.99 apply (zenon_L1047_); trivial.
% 21.78/21.99 apply (zenon_L172_); trivial.
% 21.78/21.99 apply (zenon_L709_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.99 apply (zenon_L933_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.99 apply (zenon_L68_); trivial.
% 21.78/21.99 apply (zenon_L154_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.99 apply (zenon_L171_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.99 apply (zenon_L1045_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.99 apply (zenon_L59_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.99 apply (zenon_L214_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.99 apply (zenon_L1045_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.99 apply (zenon_L1048_); trivial.
% 21.78/21.99 apply (zenon_L709_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.99 apply (zenon_L1049_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.99 apply (zenon_L178_); trivial.
% 21.78/21.99 apply (zenon_L154_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.99 apply (zenon_L184_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.99 apply (zenon_L744_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.99 apply (zenon_L14_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.99 apply (zenon_L1051_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.99 apply (zenon_L1052_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.99 apply (zenon_L998_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.99 apply (zenon_L171_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.99 apply (zenon_L1045_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.99 apply (zenon_L746_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.99 apply (zenon_L116_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.99 apply (zenon_L627_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.99 apply (zenon_L939_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.99 apply (zenon_L944_); trivial.
% 21.78/21.99 apply (zenon_L77_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.99 apply (zenon_L1047_); trivial.
% 21.78/21.99 apply (zenon_L172_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.99 apply (zenon_L933_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.99 apply (zenon_L68_); trivial.
% 21.78/21.99 apply (zenon_L154_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.99 apply (zenon_L171_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.99 apply (zenon_L1045_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.99 apply (zenon_L59_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.99 apply (zenon_L214_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.99 apply (zenon_L1045_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.99 apply (zenon_L1053_); trivial.
% 21.78/21.99 apply (zenon_L709_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.99 apply (zenon_L1052_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.99 apply (zenon_L998_); trivial.
% 21.78/21.99 apply (zenon_L31_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.99 apply (zenon_L1049_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.99 apply (zenon_L178_); trivial.
% 21.78/21.99 apply (zenon_L115_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/21.99 apply (zenon_L627_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/21.99 apply (zenon_L251_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.99 apply (zenon_L251_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.99 apply (zenon_L14_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.78/21.99 apply (zenon_L297_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.99 apply (zenon_L1055_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.99 apply (zenon_L1045_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.99 apply (zenon_L59_); trivial.
% 21.78/21.99 apply (zenon_L967_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.78/21.99 apply (zenon_L117_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.78/21.99 apply (zenon_L65_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.99 apply (zenon_L1055_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.99 apply (zenon_L962_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.99 apply (zenon_L678_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.99 apply (zenon_L214_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.99 apply (zenon_L962_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.99 apply (zenon_L1057_); trivial.
% 21.78/21.99 apply (zenon_L709_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.78/21.99 apply (zenon_L682_); trivial.
% 21.78/21.99 apply (zenon_L802_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/21.99 apply (zenon_L55_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/21.99 apply (zenon_L68_); trivial.
% 21.78/21.99 apply (zenon_L154_); trivial.
% 21.78/21.99 apply (zenon_L456_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/21.99 apply (zenon_L239_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/21.99 apply (zenon_L744_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/21.99 apply (zenon_L14_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.78/21.99 apply (zenon_L297_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.99 apply (zenon_L214_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.99 apply (zenon_L745_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.99 apply (zenon_L1054_); trivial.
% 21.78/21.99 apply (zenon_L965_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/21.99 apply (zenon_L962_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/21.99 apply (zenon_L678_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/21.99 apply (zenon_L214_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/21.99 apply (zenon_L962_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/21.99 apply (zenon_L900_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/21.99 apply (zenon_L359_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/21.99 apply (zenon_L54_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.78/21.99 apply (zenon_L246_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.78/21.99 apply (zenon_L1056_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.78/21.99 apply (zenon_L77_); trivial.
% 21.78/21.99 apply (zenon_L684_); trivial.
% 21.78/21.99 apply (zenon_L77_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/21.99 apply (zenon_L124_); trivial.
% 21.78/21.99 apply (zenon_L299_); trivial.
% 21.78/21.99 apply (zenon_L709_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/21.99 apply (zenon_L1052_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/21.99 apply (zenon_L378_); trivial.
% 21.78/21.99 apply (zenon_L1058_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.78/21.99 apply (zenon_L117_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.78/21.99 apply (zenon_L254_); trivial.
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.78/21.99 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/22.00 apply (zenon_L214_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/22.00 apply (zenon_L745_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/22.00 apply (zenon_L900_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/22.00 apply (zenon_L217_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/22.00 apply (zenon_L54_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/22.00 apply (zenon_L952_); trivial.
% 21.78/22.00 apply (zenon_L77_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/22.00 apply (zenon_L1047_); trivial.
% 21.78/22.00 apply (zenon_L172_); trivial.
% 21.78/22.00 apply (zenon_L965_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/22.00 apply (zenon_L486_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/22.00 apply (zenon_L15_); trivial.
% 21.78/22.00 apply (zenon_L1058_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.78/22.00 apply (zenon_L682_); trivial.
% 21.78/22.00 apply (zenon_L802_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/22.00 apply (zenon_L1059_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/22.00 apply (zenon_L178_); trivial.
% 21.78/22.00 apply (zenon_L115_); trivial.
% 21.78/22.00 apply (zenon_L456_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.78/22.00 apply (zenon_L20_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/22.00 apply (zenon_L251_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/22.00 apply (zenon_L251_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/22.00 apply (zenon_L14_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/22.00 apply (zenon_L171_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/22.00 apply (zenon_L995_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/22.00 apply (zenon_L678_); trivial.
% 21.78/22.00 apply (zenon_L1061_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/22.00 apply (zenon_L933_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/22.00 apply (zenon_L68_); trivial.
% 21.78/22.00 apply (zenon_L154_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/22.00 apply (zenon_L171_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/22.00 apply (zenon_L993_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/22.00 apply (zenon_L59_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/22.00 apply (zenon_L214_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/22.00 apply (zenon_L993_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/22.00 apply (zenon_L1063_); trivial.
% 21.78/22.00 apply (zenon_L709_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/22.00 apply (zenon_L1049_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/22.00 apply (zenon_L178_); trivial.
% 21.78/22.00 apply (zenon_L154_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/22.00 apply (zenon_L184_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/22.00 apply (zenon_L744_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/22.00 apply (zenon_L25_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/22.00 apply (zenon_L1064_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/22.00 apply (zenon_L486_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/22.00 apply (zenon_L998_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/22.00 apply (zenon_L171_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/22.00 apply (zenon_L1002_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/22.00 apply (zenon_L746_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/22.00 apply (zenon_L900_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/22.00 apply (zenon_L1062_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/22.00 apply (zenon_L124_); trivial.
% 21.78/22.00 apply (zenon_L172_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/22.00 apply (zenon_L933_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/22.00 apply (zenon_L68_); trivial.
% 21.78/22.00 apply (zenon_L115_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.78/22.00 apply (zenon_L1067_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.78/22.00 apply (zenon_L1052_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.78/22.00 apply (zenon_L998_); trivial.
% 21.78/22.00 apply (zenon_L31_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/22.00 apply (zenon_L933_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/22.00 apply (zenon_L178_); trivial.
% 21.78/22.00 apply (zenon_L154_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.78/22.00 apply (zenon_L755_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.78/22.00 apply (zenon_L251_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.78/22.00 apply (zenon_L251_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.78/22.00 apply (zenon_L14_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.78/22.00 apply (zenon_L297_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/22.00 apply (zenon_L966_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/22.00 apply (zenon_L1045_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/22.00 apply (zenon_L678_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.78/22.00 apply (zenon_L214_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.78/22.00 apply (zenon_L1045_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.78/22.00 apply (zenon_L900_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.78/22.00 apply (zenon_L217_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.78/22.00 apply (zenon_L54_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.78/22.00 apply (zenon_L756_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.78/22.00 apply (zenon_L1068_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.78/22.00 apply (zenon_L77_); trivial.
% 21.78/22.00 apply (zenon_L294_); trivial.
% 21.78/22.00 apply (zenon_L648_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.78/22.00 apply (zenon_L1047_); trivial.
% 21.78/22.00 apply (zenon_L299_); trivial.
% 21.78/22.00 apply (zenon_L965_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.78/22.00 apply (zenon_L117_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.78/22.00 apply (zenon_L254_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.78/22.00 apply (zenon_L968_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.78/22.00 apply (zenon_L969_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.78/22.00 apply (zenon_L970_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.78/22.00 apply (zenon_L678_); trivial.
% 21.78/22.00 apply (zenon_L939_); trivial.
% 21.78/22.00 apply (zenon_L802_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.78/22.00 apply (zenon_L972_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.78/22.00 apply (zenon_L68_); trivial.
% 21.78/22.00 apply (zenon_L154_); trivial.
% 21.78/22.00 apply (zenon_L456_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.78/22.00 apply (zenon_L239_); trivial.
% 21.78/22.00 apply (zenon_L1003_); trivial.
% 21.78/22.00 apply (zenon_L130_); trivial.
% 21.78/22.00 (* end of lemma zenon_L1069_ *)
% 21.78/22.00 assert (zenon_L1070_ : (~((op (e3) (e3)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (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 (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((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) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((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 (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 21.78/22.00 do 0 intro. intros zenon_H181 zenon_H158 zenon_H20b zenon_H266 zenon_H6f zenon_H201 zenon_H1c3 zenon_H1c6 zenon_H33 zenon_H11a zenon_H1f1 zenon_H121 zenon_Hb2 zenon_H5d zenon_H24e zenon_H190 zenon_H277 zenon_H1fe zenon_H13b zenon_H109 zenon_H18a zenon_H1b7 zenon_H163 zenon_H4e zenon_H131 zenon_H13f zenon_H13a zenon_H196 zenon_H177 zenon_Ha0 zenon_H173 zenon_H4d zenon_H195 zenon_H13c zenon_Hb6 zenon_Hfa zenon_H1cd zenon_H1a8 zenon_H8b zenon_H164 zenon_H16a zenon_H129 zenon_H7d zenon_He4 zenon_H186 zenon_H19a zenon_H1bb zenon_H31 zenon_H12e zenon_H25b zenon_H20f zenon_Hf5 zenon_H1b4 zenon_H25e zenon_H77 zenon_H192 zenon_H48 zenon_H1cf zenon_H212 zenon_Hbc zenon_H179 zenon_H156 zenon_H1d5 zenon_H73 zenon_H82 zenon_H24 zenon_H141 zenon_H1cb zenon_H117 zenon_Ha9 zenon_H26d zenon_Hf0 zenon_H139 zenon_H2c zenon_H15d zenon_H67 zenon_H68 zenon_He2 zenon_H13e zenon_H1ef zenon_H125 zenon_H104 zenon_H55 zenon_H18d zenon_H189 zenon_H94 zenon_H26a zenon_H22d zenon_H1a2 zenon_H271 zenon_H1d8 zenon_H111 zenon_Hcc zenon_H270.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.78/22.00 apply (zenon_L2_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.78/22.00 apply (zenon_L700_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.78/22.00 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 21.78/22.00 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 21.78/22.00 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.78/22.00 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.78/22.00 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.78/22.00 apply (zenon_L754_); trivial.
% 21.78/22.00 apply (zenon_L755_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.78/22.00 apply (zenon_L757_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.78/22.00 apply (zenon_L758_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.78/22.00 apply (zenon_L11_); trivial.
% 21.78/22.00 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.78/22.00 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.78/22.00 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 21.78/22.00 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.78/22.00 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.78/22.00 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.88/22.00 apply (zenon_L813_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.88/22.00 apply (zenon_L335_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.88/22.00 apply (zenon_L814_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.88/22.00 apply (zenon_L343_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.88/22.00 apply (zenon_L37_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.88/22.00 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.88/22.00 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 21.88/22.00 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.88/22.00 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.88/22.00 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.88/22.00 apply (zenon_L908_); trivial.
% 21.88/22.00 apply (zenon_L908_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.88/22.00 apply (zenon_L910_); trivial.
% 21.88/22.00 apply (zenon_L910_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.88/22.00 apply (zenon_L920_); trivial.
% 21.88/22.00 apply (zenon_L920_); trivial.
% 21.88/22.00 apply (zenon_L238_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.88/22.00 apply (zenon_L922_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.88/22.00 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 21.88/22.00 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 21.88/22.00 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.88/22.00 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.88/22.00 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 21.88/22.00 exact (zenon_H1d4 zenon_H4d).
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.88/22.00 apply (zenon_L20_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.88/22.00 apply (zenon_L923_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.88/22.00 apply (zenon_L924_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.00 apply (zenon_L251_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.88/22.00 apply (zenon_L252_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.88/22.00 apply (zenon_L83_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.88/22.00 exact (zenon_H8b zenon_H8a).
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.88/22.00 apply (zenon_L456_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.88/22.00 apply (zenon_L146_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.88/22.00 apply (zenon_L367_); trivial.
% 21.88/22.00 apply (zenon_L928_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.88/22.00 exact (zenon_H1b3 zenon_Hef).
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.88/22.00 apply (zenon_L59_); trivial.
% 21.88/22.00 apply (zenon_L299_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.00 apply (zenon_L55_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.00 apply (zenon_L68_); trivial.
% 21.88/22.00 apply (zenon_L262_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.00 apply (zenon_L184_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.88/22.00 apply (zenon_L297_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.88/22.00 apply (zenon_L359_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.88/22.00 apply (zenon_L929_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.88/22.00 apply (zenon_L68_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.88/22.00 apply (zenon_L308_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.88/22.00 apply (zenon_L278_); trivial.
% 21.88/22.00 apply (zenon_L360_); trivial.
% 21.88/22.00 apply (zenon_L930_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.88/22.00 apply (zenon_L117_); trivial.
% 21.88/22.00 apply (zenon_L90_); trivial.
% 21.88/22.00 apply (zenon_L932_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.88/22.00 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 21.88/22.00 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 21.88/22.00 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.88/22.00 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.88/22.00 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.88/22.00 apply (zenon_L1069_); trivial.
% 21.88/22.00 apply (zenon_L51_); trivial.
% 21.88/22.00 (* end of lemma zenon_L1070_ *)
% 21.88/22.00 assert (zenon_L1071_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False).
% 21.88/22.00 do 0 intro. intros zenon_H92 zenon_H77 zenon_H67 zenon_H82 zenon_H1c6 zenon_H164 zenon_H177 zenon_H156 zenon_H2f zenon_H125 zenon_H24 zenon_Hf0 zenon_H121 zenon_H1b4 zenon_H104 zenon_H179 zenon_H2c zenon_H6f zenon_Hfa zenon_H195 zenon_Heb zenon_Ha9 zenon_Hb6 zenon_Ha0 zenon_H31 zenon_Hb2 zenon_H1b3 zenon_H13f zenon_H1d8 zenon_H4e zenon_H117 zenon_H196 zenon_H183 zenon_H13a zenon_H33 zenon_H1cf zenon_H1cd zenon_H186 zenon_H181 zenon_H1c3 zenon_H201 zenon_H1bf zenon_H68 zenon_H8b zenon_H16a zenon_H48 zenon_H100 zenon_H1a8 zenon_H2d zenon_H15d zenon_H7d zenon_H13e zenon_H131 zenon_H1ef zenon_H26d zenon_H1fe zenon_H55 zenon_H141 zenon_H22d zenon_H1cb zenon_H1a2 zenon_H94 zenon_H19a zenon_H1b7 zenon_H189 zenon_H18d zenon_H163 zenon_H1d5 zenon_H5d zenon_H24e zenon_H129 zenon_H190 zenon_H1bb zenon_H271 zenon_H111 zenon_Hbc zenon_Hcc zenon_H270 zenon_H12e zenon_H13c zenon_H73 zenon_H212 zenon_H25b zenon_H20f zenon_Hf5 zenon_H25e zenon_H192 zenon_H11a zenon_H109 zenon_H13b zenon_H158 zenon_H20b zenon_H266 zenon_H277 zenon_He2 zenon_H23c zenon_H1f1 zenon_H26a zenon_H18a zenon_H173 zenon_He4 zenon_H139.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.00 apply (zenon_L251_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.88/22.00 apply (zenon_L251_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.00 apply (zenon_L701_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.00 apply (zenon_L55_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.00 apply (zenon_L68_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.88/22.00 apply (zenon_L701_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.88/22.00 apply (zenon_L46_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.88/22.00 apply (zenon_L67_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.88/22.00 apply (zenon_L214_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.88/22.00 exact (zenon_H1b3 zenon_Hef).
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.88/22.00 apply (zenon_L217_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.88/22.00 apply (zenon_L327_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.88/22.00 exact (zenon_H1bf zenon_H105).
% 21.88/22.00 apply (zenon_L739_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.88/22.00 apply (zenon_L69_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.88/22.00 apply (zenon_L327_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.88/22.00 exact (zenon_H1bf zenon_H105).
% 21.88/22.00 apply (zenon_L710_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.88/22.00 apply (zenon_L217_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.00 apply (zenon_L701_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.00 apply (zenon_L55_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.00 apply (zenon_L68_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.88/22.00 apply (zenon_L701_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.88/22.00 apply (zenon_L46_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.88/22.00 apply (zenon_L742_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.88/22.00 apply (zenon_L722_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.88/22.00 apply (zenon_L217_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.88/22.00 apply (zenon_L327_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.88/22.00 exact (zenon_H1bf zenon_H105).
% 21.88/22.00 apply (zenon_L149_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.88/22.00 apply (zenon_L67_); trivial.
% 21.88/22.00 apply (zenon_L134_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.00 apply (zenon_L239_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.88/22.00 apply (zenon_L744_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.88/22.00 apply (zenon_L701_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.88/22.00 apply (zenon_L46_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.88/22.00 apply (zenon_L67_); trivial.
% 21.88/22.00 apply (zenon_L749_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.88/22.00 apply (zenon_L217_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.88/22.00 apply (zenon_L701_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.88/22.00 apply (zenon_L46_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.88/22.00 apply (zenon_L752_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.88/22.00 apply (zenon_L1070_); trivial.
% 21.88/22.00 apply (zenon_L192_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.88/22.00 apply (zenon_L67_); trivial.
% 21.88/22.00 apply (zenon_L134_); trivial.
% 21.88/22.00 apply (zenon_L644_); trivial.
% 21.88/22.00 (* end of lemma zenon_L1071_ *)
% 21.88/22.00 assert (zenon_L1072_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.88/22.00 do 0 intro. intros zenon_H141 zenon_H34 zenon_H109 zenon_He7 zenon_Hf0 zenon_H13d zenon_H68 zenon_H93.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.88/22.00 apply (zenon_L359_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.88/22.00 apply (zenon_L929_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.88/22.00 exact (zenon_H13d zenon_H14c).
% 21.88/22.00 apply (zenon_L158_); trivial.
% 21.88/22.00 (* end of lemma zenon_L1072_ *)
% 21.88/22.00 assert (zenon_L1073_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.88/22.00 do 0 intro. intros zenon_H16a zenon_H2c zenon_H67 zenon_H1ba zenon_H8b zenon_H18d zenon_Hb6 zenon_H1b7 zenon_He0 zenon_H68 zenon_H48 zenon_H9e zenon_Ha0 zenon_H19a zenon_H77 zenon_H7e zenon_H18a.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.88/22.00 apply (zenon_L180_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.88/22.00 exact (zenon_H1ba zenon_H6d).
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.88/22.00 exact (zenon_H8b zenon_H8a).
% 21.88/22.00 apply (zenon_L725_); trivial.
% 21.88/22.00 (* end of lemma zenon_L1073_ *)
% 21.88/22.00 assert (zenon_L1074_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.88/22.00 do 0 intro. intros zenon_He2 zenon_H1d8 zenon_H2f zenon_H177 zenon_H31 zenon_H141 zenon_H109 zenon_Hf0 zenon_H13d zenon_H164 zenon_H2d zenon_H55 zenon_H16a zenon_H2c zenon_H67 zenon_H1ba zenon_H8b zenon_H18d zenon_Hb6 zenon_H1b7 zenon_H68 zenon_H48 zenon_H9e zenon_Ha0 zenon_H19a zenon_H77 zenon_H7e zenon_H18a.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.88/22.00 apply (zenon_L315_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.88/22.00 apply (zenon_L27_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.88/22.00 exact (zenon_H1ba zenon_H6d).
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.88/22.00 exact (zenon_H8b zenon_H8a).
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.88/22.00 apply (zenon_L1072_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.88/22.00 apply (zenon_L725_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.88/22.00 apply (zenon_L406_); trivial.
% 21.88/22.00 apply (zenon_L547_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.88/22.00 apply (zenon_L702_); trivial.
% 21.88/22.00 apply (zenon_L1073_); trivial.
% 21.88/22.00 (* end of lemma zenon_L1074_ *)
% 21.88/22.00 assert (zenon_L1075_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.88/22.00 do 0 intro. intros zenon_H13a zenon_Ha9 zenon_H6f zenon_H1f1 zenon_H266 zenon_H16b zenon_He4 zenon_He2 zenon_H1d8 zenon_H2f zenon_H177 zenon_H31 zenon_H141 zenon_H109 zenon_Hf0 zenon_H13d zenon_H164 zenon_H2d zenon_H55 zenon_H16a zenon_H2c zenon_H67 zenon_H1ba zenon_H8b zenon_H18d zenon_Hb6 zenon_H1b7 zenon_H68 zenon_H48 zenon_Ha0 zenon_H19a zenon_H77 zenon_H7e zenon_H18a.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.00 apply (zenon_L701_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.00 apply (zenon_L705_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.00 apply (zenon_L68_); trivial.
% 21.88/22.00 apply (zenon_L1074_); trivial.
% 21.88/22.00 (* end of lemma zenon_L1075_ *)
% 21.88/22.00 assert (zenon_L1076_ : (((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 (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False).
% 21.88/22.00 do 0 intro. intros zenon_H266 zenon_H2d zenon_H55 zenon_H13e zenon_H191 zenon_H190 zenon_H13d zenon_H89 zenon_H1ba zenon_H6f zenon_Hdb.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_Hdd | zenon_intro zenon_H267 ].
% 21.88/22.00 apply (zenon_L702_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H53 | zenon_intro zenon_H268 ].
% 21.88/22.00 apply (zenon_L176_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H6d | zenon_intro zenon_H10d ].
% 21.88/22.00 exact (zenon_H1ba zenon_H6d).
% 21.88/22.00 apply (zenon_L205_); trivial.
% 21.88/22.00 (* end of lemma zenon_L1076_ *)
% 21.88/22.00 assert (zenon_L1077_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.88/22.00 do 0 intro. intros zenon_H13a zenon_Ha9 zenon_H191 zenon_H266 zenon_H190 zenon_H6f zenon_H1ef zenon_H13e zenon_He2 zenon_H1d8 zenon_H2f zenon_H177 zenon_H31 zenon_H141 zenon_H109 zenon_Hf0 zenon_H13d zenon_H164 zenon_H2d zenon_H55 zenon_H16a zenon_H2c zenon_H67 zenon_H1ba zenon_H8b zenon_H18d zenon_Hb6 zenon_H1b7 zenon_H68 zenon_H48 zenon_Ha0 zenon_H19a zenon_H77 zenon_H7e zenon_H18a.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.00 apply (zenon_L701_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.00 apply (zenon_L730_); trivial.
% 21.88/22.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.00 apply (zenon_L68_); trivial.
% 21.88/22.00 apply (zenon_L1074_); trivial.
% 21.88/22.00 (* end of lemma zenon_L1077_ *)
% 21.88/22.00 assert (zenon_L1078_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H3a zenon_H67 zenon_H31.
% 21.88/22.01 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 21.88/22.01 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 21.88/22.01 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.88/22.01 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.88/22.01 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 21.88/22.01 apply (zenon_L921_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1078_ *)
% 21.88/22.01 assert (zenon_L1079_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H6f zenon_H73 zenon_H13c zenon_H156 zenon_H117 zenon_H12e zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H1b4 zenon_H1d8 zenon_H271 zenon_H1bb zenon_H15d zenon_H196 zenon_H190 zenon_H129 zenon_H177 zenon_H7d zenon_H24e zenon_H5d zenon_Hb2 zenon_H121 zenon_H1f1 zenon_H1a8 zenon_H139 zenon_Ha9 zenon_H13a zenon_H173 zenon_H18a zenon_H186 zenon_Hf0 zenon_H2c zenon_H68 zenon_H67 zenon_H82 zenon_H13e zenon_H131 zenon_H1ef zenon_H48 zenon_H125 zenon_H1d5 zenon_H164 zenon_H104 zenon_Hfa zenon_H195 zenon_H163 zenon_Hb6 zenon_H18d zenon_H189 zenon_Ha0 zenon_H1b7 zenon_H19a zenon_H13f zenon_H94 zenon_H1a2 zenon_H1cb zenon_H26a zenon_H31 zenon_H26d zenon_H22d zenon_H179 zenon_H1cf zenon_H141 zenon_H55 zenon_H4e zenon_H5a zenon_H1fe zenon_H77 zenon_H8b zenon_H16a.
% 21.88/22.01 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.88/22.01 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 21.88/22.01 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.88/22.01 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.88/22.01 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.88/22.01 apply (zenon_L813_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1079_ *)
% 21.88/22.01 assert (zenon_L1080_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H61 zenon_H15d zenon_H77 zenon_H67 zenon_H192 zenon_H48 zenon_H31 zenon_Hf5.
% 21.88/22.01 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 21.88/22.01 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.01 apply (zenon_L251_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.01 apply (zenon_L146_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.01 apply (zenon_L239_); trivial.
% 21.88/22.01 apply (zenon_L192_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1080_ *)
% 21.88/22.01 assert (zenon_L1081_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H13c zenon_Ha0 zenon_H25 zenon_H159 zenon_Ha9 zenon_H72 zenon_H9e zenon_Hf5.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.88/22.01 apply (zenon_L116_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.88/22.01 exact (zenon_H159 zenon_H10c).
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.88/22.01 apply (zenon_L436_); trivial.
% 21.88/22.01 apply (zenon_L262_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1081_ *)
% 21.88/22.01 assert (zenon_L1082_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_Heb zenon_H7a zenon_H40 zenon_H77 zenon_H87 zenon_H155 zenon_Hf5.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.88/22.01 exact (zenon_H7a zenon_H3c).
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.88/22.01 exact (zenon_H40 zenon_H3f).
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.88/22.01 apply (zenon_L343_); trivial.
% 21.88/22.01 apply (zenon_L192_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1082_ *)
% 21.88/22.01 assert (zenon_L1083_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.88/22.01 do 0 intro. intros zenon_He4 zenon_Hb6 zenon_Hdb zenon_H40 zenon_H6d zenon_H77 zenon_H7d zenon_H7e.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.88/22.01 apply (zenon_L55_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.88/22.01 exact (zenon_H40 zenon_H3f).
% 21.88/22.01 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.88/22.01 apply (zenon_L56_); trivial.
% 21.88/22.01 apply (zenon_L31_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1083_ *)
% 21.88/22.01 assert (zenon_L1084_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H13a zenon_H7d zenon_H77 zenon_H40 zenon_He4 zenon_Hb2 zenon_H196 zenon_H121 zenon_H179 zenon_H67 zenon_H177 zenon_H31 zenon_H48 zenon_H164 zenon_H104 zenon_H1b4 zenon_H6d zenon_Ha9 zenon_H117 zenon_Ha0 zenon_H2d zenon_Hb6 zenon_H7e.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.01 apply (zenon_L701_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.01 apply (zenon_L1083_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.01 apply (zenon_L68_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.88/22.01 apply (zenon_L701_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.88/22.01 apply (zenon_L719_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.88/22.01 apply (zenon_L67_); trivial.
% 21.88/22.01 apply (zenon_L134_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1084_ *)
% 21.88/22.01 assert (zenon_L1085_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H1a8 zenon_H77 zenon_H3d zenon_H1b3 zenon_Hdd zenon_H68 zenon_Ha9 zenon_Hac.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.88/22.01 apply (zenon_L214_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.88/22.01 exact (zenon_H1b3 zenon_Hef).
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.88/22.01 apply (zenon_L54_); trivial.
% 21.88/22.01 apply (zenon_L371_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1085_ *)
% 21.88/22.01 assert (zenon_L1086_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H15c zenon_H68 zenon_H67 zenon_H15d zenon_H48 zenon_Ha9 zenon_Hb6 zenon_Ha0 zenon_H31 zenon_H13c zenon_Hf5 zenon_H72 zenon_H13a zenon_H82 zenon_He4 zenon_H7d zenon_H6d zenon_Hb2 zenon_H121 zenon_H1b4 zenon_H104 zenon_H177 zenon_H164 zenon_H179 zenon_H196 zenon_H117 zenon_He2 zenon_H277 zenon_H201 zenon_H266 zenon_H20b zenon_H158 zenon_H13b zenon_H109 zenon_H1c3 zenon_H1c6 zenon_H33 zenon_H11a zenon_H192 zenon_H25e zenon_H20f zenon_H25b zenon_H212 zenon_H181 zenon_H73 zenon_H12e zenon_H270 zenon_Hcc zenon_Hbc zenon_H111 zenon_H271 zenon_H1bb zenon_H190 zenon_H129 zenon_H24e zenon_H5d zenon_H1f1 zenon_H173 zenon_H18a zenon_H125 zenon_H1d5 zenon_H195 zenon_H163 zenon_H18d zenon_H189 zenon_H1b7 zenon_H19a zenon_H13f zenon_H94 zenon_H1a2 zenon_H1cb zenon_H26a zenon_H22d zenon_H141 zenon_H55 zenon_H1fe zenon_H26d zenon_H1ef zenon_H131 zenon_H13e zenon_H24 zenon_H16a zenon_H8b zenon_Hf0 zenon_H1a8 zenon_H186 zenon_H1cd zenon_H1cf zenon_H2c zenon_H6f zenon_Hfa zenon_H4e zenon_H156 zenon_H139 zenon_H1d8 zenon_H1b3 zenon_H7a zenon_H40 zenon_H87 zenon_H77 zenon_Heb.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.88/22.01 apply (zenon_L344_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.88/22.01 apply (zenon_L20_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.01 apply (zenon_L251_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.01 apply (zenon_L701_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.01 apply (zenon_L55_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.01 apply (zenon_L68_); trivial.
% 21.88/22.01 apply (zenon_L1081_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.01 apply (zenon_L239_); trivial.
% 21.88/22.01 apply (zenon_L1082_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.88/22.01 apply (zenon_L251_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.88/22.01 exact (zenon_H7a zenon_H3c).
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.88/22.01 apply (zenon_L217_); trivial.
% 21.88/22.01 apply (zenon_L1084_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.01 apply (zenon_L251_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.88/22.01 apply (zenon_L251_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.88/22.01 exact (zenon_H7a zenon_H3c).
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.01 apply (zenon_L701_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.01 apply (zenon_L55_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.01 apply (zenon_L68_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.88/22.01 exact (zenon_H7a zenon_H3c).
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.88/22.01 exact (zenon_H40 zenon_H3f).
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.88/22.01 apply (zenon_L1070_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.88/22.01 apply (zenon_L55_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.88/22.01 exact (zenon_H159 zenon_H10c).
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.88/22.01 apply (zenon_L289_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.88/22.01 apply (zenon_L359_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.88/22.01 apply (zenon_L1085_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.88/22.01 apply (zenon_L290_); trivial.
% 21.88/22.01 apply (zenon_L209_); trivial.
% 21.88/22.01 apply (zenon_L456_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.01 apply (zenon_L239_); trivial.
% 21.88/22.01 apply (zenon_L1082_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1086_ *)
% 21.88/22.01 assert (zenon_L1087_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 21.88/22.01 do 0 intro. intros zenon_He2 zenon_H1d8 zenon_H31 zenon_He3 zenon_H6d zenon_H68 zenon_H7d zenon_H34.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.88/22.01 apply (zenon_L254_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.88/22.01 exact (zenon_He3 zenon_He7).
% 21.88/22.01 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.88/22.01 apply (zenon_L54_); trivial.
% 21.88/22.01 apply (zenon_L802_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1087_ *)
% 21.88/22.01 assert (zenon_L1088_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H15c zenon_H156 zenon_H158 zenon_H68 zenon_H67 zenon_Heb zenon_H72 zenon_H77 zenon_H40 zenon_H48 zenon_H15d zenon_H13f zenon_H1d8 zenon_H183 zenon_H13a zenon_H33 zenon_H1cf zenon_H1cd zenon_H8b zenon_H186 zenon_H181 zenon_H1c3 zenon_H201 zenon_H196 zenon_H117 zenon_H100 zenon_H31 zenon_He3 zenon_H6d zenon_He4 zenon_He2 zenon_H179 zenon_H164 zenon_H177 zenon_H104 zenon_H1b4 zenon_H121 zenon_H7d zenon_H82 zenon_H4e zenon_Hb2 zenon_Ha9 zenon_Ha0 zenon_Hb6 zenon_H125 zenon_H1fe.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.88/22.01 apply (zenon_L20_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.88/22.01 apply (zenon_L60_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.01 apply (zenon_L346_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.88/22.01 apply (zenon_L346_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.01 apply (zenon_L701_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.01 apply (zenon_L58_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.01 apply (zenon_L68_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.88/22.01 apply (zenon_L701_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.88/22.01 apply (zenon_L66_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.88/22.01 apply (zenon_L67_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.88/22.01 apply (zenon_L70_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.88/22.01 apply (zenon_L56_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.88/22.01 apply (zenon_L404_); trivial.
% 21.88/22.01 apply (zenon_L739_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.88/22.01 apply (zenon_L217_); trivial.
% 21.88/22.01 apply (zenon_L1084_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.01 apply (zenon_L239_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.01 apply (zenon_L701_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.01 apply (zenon_L58_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.01 apply (zenon_L68_); trivial.
% 21.88/22.01 apply (zenon_L115_); trivial.
% 21.88/22.01 apply (zenon_L1087_); trivial.
% 21.88/22.01 apply (zenon_L101_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1088_ *)
% 21.88/22.01 assert (zenon_L1089_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H1a8 zenon_Ha9 zenon_Hdb zenon_H1b3 zenon_Hdd zenon_H68 zenon_H7f zenon_H77.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.88/22.01 apply (zenon_L110_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.88/22.01 exact (zenon_H1b3 zenon_Hef).
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.88/22.01 apply (zenon_L54_); trivial.
% 21.88/22.01 apply (zenon_L169_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1089_ *)
% 21.88/22.01 assert (zenon_L1090_ : (((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)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha9 zenon_H6d zenon_H14c zenon_Ha0 zenon_Ha5 zenon_H195.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.88/22.01 apply (zenon_L151_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.88/22.01 apply (zenon_L289_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.88/22.01 apply (zenon_L278_); trivial.
% 21.88/22.01 apply (zenon_L172_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1090_ *)
% 21.88/22.01 assert (zenon_L1091_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_He4 zenon_H40 zenon_H55 zenon_H181 zenon_H68 zenon_Ha9 zenon_Ha5 zenon_H155 zenon_H1c3 zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha0 zenon_H195 zenon_H1a8 zenon_Hdb zenon_H1b3 zenon_H109 zenon_H34 zenon_H141 zenon_H77.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.88/22.01 apply (zenon_L55_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.88/22.01 exact (zenon_H40 zenon_H3f).
% 21.88/22.01 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.88/22.01 apply (zenon_L15_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.88/22.01 apply (zenon_L110_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.88/22.01 exact (zenon_H1b3 zenon_Hef).
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.88/22.01 apply (zenon_L359_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.88/22.01 apply (zenon_L1089_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.88/22.01 apply (zenon_L1090_); trivial.
% 21.88/22.01 apply (zenon_L930_); trivial.
% 21.88/22.01 apply (zenon_L169_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1091_ *)
% 21.88/22.01 assert (zenon_L1092_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H15d zenon_Hf5 zenon_H82 zenon_H139 zenon_H7a zenon_Hb6 zenon_H31 zenon_Ha0 zenon_He4 zenon_H40 zenon_H55 zenon_H181 zenon_H68 zenon_Ha9 zenon_Ha5 zenon_H1c3 zenon_H117 zenon_H195 zenon_H1a8 zenon_H1b3 zenon_H109 zenon_H141 zenon_H77 zenon_H67 zenon_H13a zenon_H34 zenon_H48.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.01 apply (zenon_L251_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.01 apply (zenon_L732_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.01 apply (zenon_L239_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.88/22.01 apply (zenon_L744_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.88/22.01 exact (zenon_H7a zenon_H3c).
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.01 apply (zenon_L701_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.01 apply (zenon_L1091_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.01 apply (zenon_L68_); trivial.
% 21.88/22.01 apply (zenon_L115_); trivial.
% 21.88/22.01 apply (zenon_L456_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1092_ *)
% 21.88/22.01 assert (zenon_L1093_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H1fe zenon_Hb1 zenon_H177 zenon_Hac zenon_H164 zenon_Hb2 zenon_H5d zenon_H7d zenon_H15d zenon_Hf5 zenon_H82 zenon_H139 zenon_H7a zenon_Hb6 zenon_H31 zenon_Ha0 zenon_He4 zenon_H40 zenon_H55 zenon_H181 zenon_H68 zenon_Ha9 zenon_Ha5 zenon_H1c3 zenon_H117 zenon_H195 zenon_H1a8 zenon_H1b3 zenon_H109 zenon_H141 zenon_H77 zenon_H67 zenon_H13a zenon_H48.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.88/22.01 apply (zenon_L20_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.01 apply (zenon_L251_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.01 apply (zenon_L732_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.01 apply (zenon_L239_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.88/22.01 apply (zenon_L744_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.88/22.01 exact (zenon_H7a zenon_H3c).
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.88/22.01 apply (zenon_L701_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.88/22.01 apply (zenon_L116_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.88/22.01 apply (zenon_L151_); trivial.
% 21.88/22.01 apply (zenon_L221_); trivial.
% 21.88/22.01 apply (zenon_L718_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.88/22.01 apply (zenon_L924_); trivial.
% 21.88/22.01 apply (zenon_L1092_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1093_ *)
% 21.88/22.01 assert (zenon_L1094_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_Hb2 zenon_Ha9 zenon_H67 zenon_Ha0 zenon_H25 zenon_H94 zenon_Hb9 zenon_Hbb zenon_Hbc.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.88/22.01 apply (zenon_L701_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.88/22.01 apply (zenon_L116_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.88/22.01 apply (zenon_L47_); trivial.
% 21.88/22.01 apply (zenon_L48_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1094_ *)
% 21.88/22.01 assert (zenon_L1095_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H13a zenon_Ha9 zenon_H67 zenon_H6f zenon_H1ba zenon_H1f1 zenon_H55 zenon_H2d zenon_H266 zenon_H16a zenon_H68 zenon_H77 zenon_H8b zenon_H16b zenon_Hf0 zenon_Hb6 zenon_He4 zenon_Ha0 zenon_H31 zenon_Hb9 zenon_H196.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.01 apply (zenon_L701_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.01 apply (zenon_L705_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.01 apply (zenon_L68_); trivial.
% 21.88/22.01 apply (zenon_L154_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1095_ *)
% 21.88/22.01 assert (zenon_L1096_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H13a zenon_Ha9 zenon_H67 zenon_Hb6 zenon_H3d zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.01 apply (zenon_L701_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.01 apply (zenon_L55_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.01 apply (zenon_L178_); trivial.
% 21.88/22.01 apply (zenon_L154_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1096_ *)
% 21.88/22.01 assert (zenon_L1097_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_Hb2 zenon_Ha9 zenon_H67 zenon_Hb6 zenon_H3c zenon_H94 zenon_Hb9 zenon_Hbb zenon_Hbc.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.88/22.01 apply (zenon_L701_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.88/22.01 apply (zenon_L46_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.88/22.01 apply (zenon_L47_); trivial.
% 21.88/22.01 apply (zenon_L48_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1097_ *)
% 21.88/22.01 assert (zenon_L1098_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H12e zenon_H48 zenon_H34 zenon_H3f zenon_H11a zenon_Hbb zenon_Hb6 zenon_H155 zenon_H1b4.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.88/22.01 apply (zenon_L456_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.88/22.01 apply (zenon_L552_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.88/22.01 apply (zenon_L363_); trivial.
% 21.88/22.01 apply (zenon_L187_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1098_ *)
% 21.88/22.01 assert (zenon_L1099_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (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 (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H15d zenon_H77 zenon_H196 zenon_Hb9 zenon_Hbb zenon_H177 zenon_H48 zenon_H13a zenon_Ha9 zenon_H67 zenon_H191 zenon_H8b zenon_H266 zenon_H2d zenon_H55 zenon_H190 zenon_H1ba zenon_H6f zenon_H1ef zenon_H13e zenon_Ha0 zenon_H31 zenon_Hb6.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.01 apply (zenon_L251_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.01 apply (zenon_L1096_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.01 apply (zenon_L239_); trivial.
% 21.88/22.01 apply (zenon_L737_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1099_ *)
% 21.88/22.01 assert (zenon_L1100_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H15d zenon_H196 zenon_H82 zenon_Hb6 zenon_Hbb zenon_H177 zenon_Hb2 zenon_Ha9 zenon_H67 zenon_Hf5 zenon_He4 zenon_H156 zenon_H55 zenon_H1bb zenon_H18a zenon_H1b7 zenon_H1cf zenon_H77 zenon_H68 zenon_H271 zenon_H1d8 zenon_H139 zenon_H1b4 zenon_H111 zenon_H1cd zenon_Hcc zenon_H270 zenon_H1a2 zenon_Ha0 zenon_H31 zenon_H191 zenon_H1cb zenon_H12e zenon_H11a zenon_Heb zenon_H94 zenon_Hb9 zenon_Hbc zenon_H13a zenon_H34 zenon_H48.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.01 apply (zenon_L251_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.01 apply (zenon_L1096_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.01 apply (zenon_L239_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.88/22.01 apply (zenon_L744_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.88/22.01 apply (zenon_L1097_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.01 apply (zenon_L701_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.88/22.01 apply (zenon_L701_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.88/22.01 apply (zenon_L46_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.88/22.01 apply (zenon_L1098_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.88/22.01 apply (zenon_L972_); trivial.
% 21.88/22.01 apply (zenon_L192_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.88/22.01 apply (zenon_L47_); trivial.
% 21.88/22.01 apply (zenon_L48_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.01 apply (zenon_L178_); trivial.
% 21.88/22.01 apply (zenon_L115_); trivial.
% 21.88/22.01 apply (zenon_L456_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1100_ *)
% 21.88/22.01 assert (zenon_L1101_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e1)) -> False).
% 21.88/22.01 do 0 intro. intros zenon_H117 zenon_Ha0 zenon_H2d zenon_Ha9 zenon_H6d zenon_H104 zenon_Hbb zenon_Hb6 zenon_H128.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.88/22.01 apply (zenon_L67_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.88/22.01 apply (zenon_L289_); trivial.
% 21.88/22.01 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.88/22.01 apply (zenon_L129_); trivial.
% 21.88/22.01 apply (zenon_L182_); trivial.
% 21.88/22.01 (* end of lemma zenon_L1101_ *)
% 21.88/22.01 assert (zenon_L1102_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e3)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H16a zenon_H7b zenon_H128 zenon_Hb6 zenon_Hbb zenon_H104 zenon_Ha9 zenon_H2d zenon_Ha0 zenon_H117 zenon_H8b zenon_H16b.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.88/22.02 exact (zenon_H7b zenon_H65).
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.88/22.02 apply (zenon_L1101_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.88/22.02 exact (zenon_H8b zenon_H8a).
% 21.88/22.02 exact (zenon_H16b zenon_H93).
% 21.88/22.02 (* end of lemma zenon_L1102_ *)
% 21.88/22.02 assert (zenon_L1103_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H92 zenon_H1ef zenon_H13e zenon_H48 zenon_H2d zenon_H16a zenon_H8b zenon_H77 zenon_H68 zenon_H1bf zenon_Ha0 zenon_Ha9 zenon_H104 zenon_Hbb zenon_Hb6 zenon_H117 zenon_H7b zenon_H13f.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.88/22.02 apply (zenon_L217_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.88/22.02 apply (zenon_L327_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.88/22.02 exact (zenon_H1bf zenon_H105).
% 21.88/22.02 apply (zenon_L1102_); trivial.
% 21.88/22.02 apply (zenon_L644_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1103_ *)
% 21.88/22.02 assert (zenon_L1104_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H141 zenon_H34 zenon_H109 zenon_He7 zenon_Hf0 zenon_H13d zenon_Ha0 zenon_Hb9.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.88/22.02 apply (zenon_L359_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.88/22.02 apply (zenon_L929_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.88/22.02 exact (zenon_H13d zenon_H14c).
% 21.88/22.02 apply (zenon_L77_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1104_ *)
% 21.88/22.02 assert (zenon_L1105_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_Heb zenon_H54 zenon_H100 zenon_H1b4 zenon_Hb6 zenon_Hbb zenon_H11a zenon_H34 zenon_H12e zenon_Hf3 zenon_H48 zenon_H155 zenon_Hf5.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.88/22.02 apply (zenon_L69_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.88/22.02 apply (zenon_L1098_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.88/22.02 apply (zenon_L117_); trivial.
% 21.88/22.02 apply (zenon_L192_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1105_ *)
% 21.88/22.02 assert (zenon_L1106_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (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 (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((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) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((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 (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e0)) -> False).
% 21.88/22.02 do 0 intro. intros zenon_Heb zenon_H54 zenon_H100 zenon_H155 zenon_H34 zenon_H91 zenon_H89 zenon_H20b zenon_H266 zenon_H6f zenon_H201 zenon_H1c3 zenon_H1c6 zenon_H33 zenon_H11a zenon_H1f1 zenon_H121 zenon_Hb2 zenon_H5d zenon_H24e zenon_H190 zenon_H277 zenon_H1fe zenon_H13b zenon_H109 zenon_H18a zenon_H1b7 zenon_H163 zenon_H4e zenon_H131 zenon_H13f zenon_H13a zenon_H196 zenon_Hbb zenon_H177 zenon_Ha0 zenon_H173 zenon_H195 zenon_Hb9 zenon_H13c zenon_Hb6 zenon_Hfa zenon_H1cd zenon_H1a8 zenon_H8b zenon_H164 zenon_H16a zenon_H129 zenon_H7d zenon_He4 zenon_H186 zenon_H19a zenon_Hc0 zenon_H1bb zenon_H31 zenon_H12e zenon_H25b zenon_H20f zenon_Hf5 zenon_H1b4 zenon_H25e zenon_H77 zenon_H192 zenon_H1cf zenon_H212 zenon_Hbc zenon_H179 zenon_H156 zenon_H1d5 zenon_H73 zenon_H82 zenon_H24 zenon_H141 zenon_H1cb zenon_H117 zenon_Ha9 zenon_H26d zenon_Hf0 zenon_H139 zenon_H2c zenon_H15d zenon_H67 zenon_H68 zenon_He2 zenon_H13e zenon_H1ef zenon_H125 zenon_H104 zenon_H55 zenon_H18d zenon_H189 zenon_H94 zenon_H26a zenon_H22d zenon_H1a2 zenon_H271 zenon_H1d8 zenon_H111 zenon_Hcc zenon_H270 zenon_H92 zenon_H8f zenon_H48 zenon_H136.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.88/22.02 apply (zenon_L69_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.88/22.02 apply (zenon_L1098_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.88/22.02 apply (zenon_L1069_); trivial.
% 21.88/22.02 apply (zenon_L157_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1106_ *)
% 21.88/22.02 assert (zenon_L1107_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_He4 zenon_Hdb zenon_H156 zenon_Hdd zenon_H48 zenon_H1bb zenon_H18a zenon_H34 zenon_H1b7 zenon_H1cf zenon_H77 zenon_H68 zenon_H271 zenon_H1d8 zenon_H139 zenon_H1b4 zenon_H111 zenon_Hbc zenon_H1cd zenon_Hcc zenon_H270 zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H4d zenon_H191 zenon_H1cb.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.88/22.02 apply (zenon_L55_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.88/22.02 apply (zenon_L486_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.88/22.02 apply (zenon_L111_); trivial.
% 21.88/22.02 apply (zenon_L794_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1107_ *)
% 21.88/22.02 assert (zenon_L1108_ : ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (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 (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((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 (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (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 (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H8f zenon_H22d zenon_H26a zenon_H189 zenon_H18d zenon_H125 zenon_He2 zenon_H277 zenon_H24e zenon_H5d zenon_H121 zenon_H33 zenon_H1c6 zenon_H1c3 zenon_H20b zenon_H100 zenon_H92 zenon_H13e zenon_H190 zenon_H1ef zenon_H1a2 zenon_H271 zenon_H1d8 zenon_H111 zenon_Hcc zenon_H270 zenon_H68 zenon_H67 zenon_Hb2 zenon_Hbb zenon_Hbc zenon_Hb9 zenon_H94 zenon_Ha0 zenon_Ha9 zenon_H13a zenon_H196 zenon_H31 zenon_Hb6 zenon_H266 zenon_H6f zenon_Hf0 zenon_H55 zenon_H16a zenon_H8b zenon_H77 zenon_H1f1 zenon_He4 zenon_H139 zenon_H12e zenon_H1b4 zenon_H11a zenon_H1fe zenon_H13b zenon_H109 zenon_H18a zenon_H1b7 zenon_H163 zenon_H4e zenon_H131 zenon_H13f zenon_H173 zenon_H195 zenon_H13c zenon_Hfa zenon_H1cd zenon_H1a8 zenon_H164 zenon_H129 zenon_H7d zenon_H186 zenon_H19a zenon_Hc0 zenon_H1bb zenon_H25b zenon_H20f zenon_Hf5 zenon_H25e zenon_H192 zenon_H1cf zenon_H212 zenon_H179 zenon_H156 zenon_H1d5 zenon_H73 zenon_H82 zenon_H24 zenon_H141 zenon_H1cb zenon_H117 zenon_H26d zenon_H2c zenon_H15d zenon_Heb zenon_H48 zenon_H177 zenon_H89 zenon_H104 zenon_H201 zenon_H91.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.88/22.02 apply (zenon_L20_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.88/22.02 apply (zenon_L1094_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.88/22.02 apply (zenon_L1095_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.02 apply (zenon_L251_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.02 apply (zenon_L1096_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.02 apply (zenon_L239_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.88/22.02 apply (zenon_L744_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.88/22.02 apply (zenon_L1097_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.88/22.02 apply (zenon_L701_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.88/22.02 apply (zenon_L46_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.88/22.02 apply (zenon_L1098_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.88/22.02 apply (zenon_L954_); trivial.
% 21.88/22.02 apply (zenon_L192_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.88/22.02 apply (zenon_L151_); trivial.
% 21.88/22.02 apply (zenon_L201_); trivial.
% 21.88/22.02 apply (zenon_L456_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.88/22.02 apply (zenon_L20_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.88/22.02 apply (zenon_L1094_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.88/22.02 apply (zenon_L1099_); trivial.
% 21.88/22.02 apply (zenon_L1100_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.88/22.02 apply (zenon_L20_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.88/22.02 apply (zenon_L1094_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.88/22.02 apply (zenon_L1103_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.02 apply (zenon_L701_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.02 apply (zenon_L1059_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.02 apply (zenon_L68_); trivial.
% 21.88/22.02 apply (zenon_L154_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.88/22.02 apply (zenon_L20_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.88/22.02 apply (zenon_L1094_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.88/22.02 apply (zenon_L645_); trivial.
% 21.88/22.02 apply (zenon_L1100_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.88/22.02 apply (zenon_L20_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.88/22.02 apply (zenon_L1094_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.88/22.02 apply (zenon_L1095_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.02 apply (zenon_L251_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.02 apply (zenon_L1096_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.02 apply (zenon_L239_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.88/22.02 apply (zenon_L744_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.88/22.02 apply (zenon_L1097_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.88/22.02 apply (zenon_L297_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.88/22.02 apply (zenon_L1104_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.88/22.02 apply (zenon_L1105_); trivial.
% 21.88/22.02 apply (zenon_L1106_); trivial.
% 21.88/22.02 apply (zenon_L456_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.88/22.02 apply (zenon_L20_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.88/22.02 apply (zenon_L1094_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.88/22.02 apply (zenon_L1099_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.02 apply (zenon_L251_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.02 apply (zenon_L1096_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.02 apply (zenon_L239_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.88/22.02 apply (zenon_L744_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.88/22.02 apply (zenon_L1097_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.02 apply (zenon_L701_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.88/22.02 apply (zenon_L701_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.88/22.02 apply (zenon_L297_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.88/22.02 apply (zenon_L1104_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.88/22.02 apply (zenon_L1105_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.88/22.02 apply (zenon_L53_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.88/22.02 apply (zenon_L1104_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.88/22.02 apply (zenon_L46_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.88/22.02 apply (zenon_L1098_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.88/22.02 apply (zenon_L1107_); trivial.
% 21.88/22.02 apply (zenon_L157_); trivial.
% 21.88/22.02 apply (zenon_L802_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.88/22.02 apply (zenon_L47_); trivial.
% 21.88/22.02 apply (zenon_L201_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.02 apply (zenon_L178_); trivial.
% 21.88/22.02 apply (zenon_L115_); trivial.
% 21.88/22.02 apply (zenon_L456_); trivial.
% 21.88/22.02 apply (zenon_L196_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1108_ *)
% 21.88/22.02 assert (zenon_L1109_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_Hb2 zenon_Ha9 zenon_H67 zenon_Hb6 zenon_H3c zenon_Ha0 zenon_H2d zenon_Hbb zenon_Hbc.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.88/22.02 apply (zenon_L701_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.88/22.02 apply (zenon_L46_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.88/22.02 apply (zenon_L67_); trivial.
% 21.88/22.02 apply (zenon_L48_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1109_ *)
% 21.88/22.02 assert (zenon_L1110_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H13a zenon_Ha9 zenon_H6f zenon_H1f1 zenon_H266 zenon_H16b zenon_He4 zenon_Hbb zenon_He2 zenon_H1d8 zenon_H2f zenon_H177 zenon_H31 zenon_H141 zenon_H109 zenon_Hf0 zenon_H13d zenon_H164 zenon_H2d zenon_H55 zenon_H16a zenon_H2c zenon_H67 zenon_H1ba zenon_H8b zenon_H18d zenon_Hb6 zenon_H1b7 zenon_H68 zenon_H48 zenon_Ha0 zenon_H19a zenon_H77 zenon_H7e zenon_H18a.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.02 apply (zenon_L701_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.02 apply (zenon_L705_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.02 apply (zenon_L178_); trivial.
% 21.88/22.02 apply (zenon_L1074_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1110_ *)
% 21.88/22.02 assert (zenon_L1111_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H1c6 zenon_Hb6 zenon_H3d zenon_H159 zenon_Ha9 zenon_H6d zenon_Hbb zenon_H1cd.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.88/22.02 apply (zenon_L55_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.88/22.02 exact (zenon_H159 zenon_H10c).
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.88/22.02 apply (zenon_L289_); trivial.
% 21.88/22.02 apply (zenon_L360_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1111_ *)
% 21.88/22.02 assert (zenon_L1112_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H15c zenon_H67 zenon_H1c6 zenon_Hbb zenon_H1cd zenon_H6d zenon_Ha9 zenon_Hb6 zenon_H48 zenon_H31 zenon_Hf5 zenon_H15d zenon_H7a zenon_H40 zenon_H87 zenon_H77 zenon_Heb.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.88/22.02 apply (zenon_L344_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.02 apply (zenon_L251_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.02 apply (zenon_L1111_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.02 apply (zenon_L239_); trivial.
% 21.88/22.02 apply (zenon_L1082_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1112_ *)
% 21.88/22.02 assert (zenon_L1113_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H158 zenon_He3 zenon_H40 zenon_H1b3 zenon_H159.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_He7 | zenon_intro zenon_H15a ].
% 21.88/22.02 exact (zenon_He3 zenon_He7).
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H3f | zenon_intro zenon_H15b ].
% 21.88/22.02 exact (zenon_H40 zenon_H3f).
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Hef | zenon_intro zenon_H10c ].
% 21.88/22.02 exact (zenon_H1b3 zenon_Hef).
% 21.88/22.02 exact (zenon_H159 zenon_H10c).
% 21.88/22.02 (* end of lemma zenon_L1113_ *)
% 21.88/22.02 assert (zenon_L1114_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H15c zenon_H1b3 zenon_H158 zenon_H68 zenon_H67 zenon_Heb zenon_H72 zenon_H77 zenon_H40 zenon_H48 zenon_Hb2 zenon_Hbb zenon_Hbc zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_He2 zenon_H7d zenon_H6d zenon_He3 zenon_H31 zenon_H1d8 zenon_H1fe.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.88/22.02 apply (zenon_L20_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.88/22.02 apply (zenon_L60_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.88/22.02 apply (zenon_L701_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.88/22.02 apply (zenon_L66_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.88/22.02 apply (zenon_L67_); trivial.
% 21.88/22.02 apply (zenon_L48_); trivial.
% 21.88/22.02 apply (zenon_L1087_); trivial.
% 21.88/22.02 apply (zenon_L1113_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1114_ *)
% 21.88/22.02 assert (zenon_L1115_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H1a8 zenon_H77 zenon_H3d zenon_H1b3 zenon_H189 zenon_H93 zenon_H160 zenon_H1cd.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.88/22.02 apply (zenon_L214_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.88/22.02 exact (zenon_H1b3 zenon_Hef).
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.88/22.02 apply (zenon_L439_); trivial.
% 21.88/22.02 apply (zenon_L240_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1115_ *)
% 21.88/22.02 assert (zenon_L1116_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H15d zenon_H67 zenon_H93 zenon_H189 zenon_H1b3 zenon_H77 zenon_H1a8 zenon_H48 zenon_H31 zenon_H1bb zenon_H1cd zenon_Hbb zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.02 apply (zenon_L251_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.02 apply (zenon_L1115_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.02 apply (zenon_L239_); trivial.
% 21.88/22.02 apply (zenon_L816_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1116_ *)
% 21.88/22.02 assert (zenon_L1117_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_Hfa zenon_H68 zenon_H25 zenon_H1b3 zenon_H160 zenon_H163 zenon_H93 zenon_H195.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.88/22.02 apply (zenon_L171_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.88/22.02 exact (zenon_H1b3 zenon_Hef).
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.88/22.02 apply (zenon_L227_); trivial.
% 21.88/22.02 apply (zenon_L228_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1117_ *)
% 21.88/22.02 assert (zenon_L1118_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_Hfa zenon_H77 zenon_H3c zenon_H1b3 zenon_H160 zenon_H163 zenon_H93 zenon_H195.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.88/22.02 apply (zenon_L24_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.88/22.02 exact (zenon_H1b3 zenon_Hef).
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.88/22.02 apply (zenon_L227_); trivial.
% 21.88/22.02 apply (zenon_L228_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1118_ *)
% 21.88/22.02 assert (zenon_L1119_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H82 zenon_H196 zenon_H177 zenon_H3d zenon_H139 zenon_H195 zenon_H93 zenon_H163 zenon_H160 zenon_H1b3 zenon_H77 zenon_Hfa zenon_H48 zenon_H2d zenon_H1bb zenon_H162 zenon_H18a zenon_H181 zenon_Hc4.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.88/22.02 apply (zenon_L818_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.88/22.02 apply (zenon_L1118_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.88/22.02 apply (zenon_L217_); trivial.
% 21.88/22.02 apply (zenon_L211_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1119_ *)
% 21.88/22.02 assert (zenon_L1120_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H1fe zenon_H26d zenon_H18a zenon_H48 zenon_Hfa zenon_H77 zenon_H1b3 zenon_H163 zenon_H93 zenon_H195 zenon_H139 zenon_Hb6 zenon_Hbb zenon_Ha9 zenon_H13a zenon_H177 zenon_H196 zenon_H82 zenon_H31 zenon_Ha0 zenon_H19a zenon_Hbc zenon_H212 zenon_H18d zenon_H33 zenon_H12e zenon_H68 zenon_H109 zenon_H164 zenon_H15d zenon_H1bb zenon_H162 zenon_H1c7 zenon_H160 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H181 zenon_Hc4.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.88/22.02 apply (zenon_L877_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.88/22.02 apply (zenon_L1117_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.02 apply (zenon_L891_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.02 apply (zenon_L1119_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.02 apply (zenon_L239_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.88/22.02 apply (zenon_L850_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.88/22.02 apply (zenon_L1118_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.88/22.02 apply (zenon_L217_); trivial.
% 21.88/22.02 apply (zenon_L211_); trivial.
% 21.88/22.02 apply (zenon_L870_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1120_ *)
% 21.88/22.02 assert (zenon_L1121_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> ((op (e3) (e2)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_Hca zenon_Hbb zenon_Hc2 zenon_H139 zenon_H196 zenon_H26d zenon_H31 zenon_H164 zenon_H177 zenon_H18a zenon_H18d zenon_H93 zenon_H77 zenon_H48 zenon_Hbc zenon_H13a zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H33 zenon_H212 zenon_H12e zenon_H162 zenon_H24e zenon_H160 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H1bb zenon_H19a zenon_H68 zenon_Hfa zenon_H195 zenon_H163 zenon_H1b3 zenon_H15d zenon_H82 zenon_H109 zenon_H1fe zenon_Hcb.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.88/22.02 exact (zenon_H1a3 zenon_Hbb).
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.88/22.02 apply (zenon_L1120_); trivial.
% 21.88/22.02 apply (zenon_L1120_); trivial.
% 21.88/22.02 apply (zenon_L895_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1121_ *)
% 21.88/22.02 assert (zenon_L1122_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 21.88/22.02 do 0 intro. intros zenon_Hfa zenon_H77 zenon_H3c zenon_H1b3 zenon_H8a zenon_H131 zenon_Hf5 zenon_Hf6.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.88/22.02 apply (zenon_L24_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.88/22.02 exact (zenon_H1b3 zenon_Hef).
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.88/22.02 apply (zenon_L87_); trivial.
% 21.88/22.02 apply (zenon_L63_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1122_ *)
% 21.88/22.02 assert (zenon_L1123_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H139 zenon_H6c zenon_H3d zenon_H68 zenon_H31 zenon_Hfa zenon_H77 zenon_H3c zenon_H1b3 zenon_H8a zenon_H131 zenon_Hf5.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.88/22.02 exact (zenon_H6c zenon_H67).
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.88/22.02 apply (zenon_L214_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.88/22.02 apply (zenon_L264_); trivial.
% 21.88/22.02 apply (zenon_L1122_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1123_ *)
% 21.88/22.02 assert (zenon_L1124_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H1c3 zenon_H9e zenon_Ha9 zenon_H77 zenon_H5c zenon_H8a zenon_H1c2 zenon_H181.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.88/22.02 apply (zenon_L92_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.88/22.02 apply (zenon_L206_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.88/22.02 apply (zenon_L207_); trivial.
% 21.88/22.02 exact (zenon_H181 zenon_H17c).
% 21.88/22.02 (* end of lemma zenon_L1124_ *)
% 21.88/22.02 assert (zenon_L1125_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H13a zenon_Hb6 zenon_H47 zenon_H6e zenon_Ha0 zenon_H31 zenon_H1c3 zenon_Ha9 zenon_H77 zenon_H5c zenon_H8a zenon_H1c2 zenon_H181.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.02 apply (zenon_L253_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.02 apply (zenon_L110_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.02 apply (zenon_L68_); trivial.
% 21.88/22.02 apply (zenon_L1124_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1125_ *)
% 21.88/22.02 assert (zenon_L1126_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H1a8 zenon_Ha9 zenon_Hdb zenon_H1b3 zenon_H190 zenon_H8a zenon_H7f zenon_H77.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.88/22.02 apply (zenon_L110_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.88/22.02 exact (zenon_H1b3 zenon_Hef).
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.88/22.02 apply (zenon_L366_); trivial.
% 21.88/22.02 apply (zenon_L169_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1126_ *)
% 21.88/22.02 assert (zenon_L1127_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H15d zenon_Ha9 zenon_Ha0 zenon_H1a8 zenon_H1b3 zenon_H190 zenon_H8a zenon_H77 zenon_Hb6 zenon_H13a zenon_H111 zenon_H1c3 zenon_H1c2 zenon_H181 zenon_H139 zenon_H7f zenon_H192 zenon_H48 zenon_H31 zenon_H5c zenon_Hf5.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.88/22.02 apply (zenon_L251_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.88/22.02 apply (zenon_L1125_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.88/22.02 apply (zenon_L258_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.02 apply (zenon_L253_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.02 apply (zenon_L1126_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.02 apply (zenon_L68_); trivial.
% 21.88/22.02 apply (zenon_L92_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.02 apply (zenon_L146_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.02 apply (zenon_L239_); trivial.
% 21.88/22.02 apply (zenon_L192_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1127_ *)
% 21.88/22.02 assert (zenon_L1128_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H192 zenon_H6e zenon_H171.
% 21.88/22.02 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 21.88/22.02 intro zenon_D_pnotp.
% 21.88/22.02 apply zenon_H192.
% 21.88/22.02 rewrite <- zenon_D_pnotp.
% 21.88/22.02 exact zenon_H6e.
% 21.88/22.02 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 21.88/22.02 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 21.88/22.02 congruence.
% 21.88/22.02 apply zenon_H193. apply refl_equal.
% 21.88/22.02 apply zenon_H172. apply sym_equal. exact zenon_H171.
% 21.88/22.02 (* end of lemma zenon_L1128_ *)
% 21.88/22.02 assert (zenon_L1129_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H183 zenon_H9d zenon_Ha9 zenon_H6e zenon_H192 zenon_H8a zenon_H104 zenon_H181.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.88/22.02 apply (zenon_L91_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.88/22.02 apply (zenon_L1128_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.88/22.02 apply (zenon_L231_); trivial.
% 21.88/22.02 exact (zenon_H181 zenon_H17c).
% 21.88/22.02 (* end of lemma zenon_L1129_ *)
% 21.88/22.02 assert (zenon_L1130_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H139 zenon_H6c zenon_H181 zenon_H104 zenon_H192 zenon_H9d zenon_H183 zenon_H8a zenon_H111 zenon_Ha9 zenon_H9e.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.88/22.02 exact (zenon_H6c zenon_H67).
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.88/22.02 apply (zenon_L1129_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.88/22.02 apply (zenon_L258_); trivial.
% 21.88/22.02 apply (zenon_L92_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1130_ *)
% 21.88/22.02 assert (zenon_L1131_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H13a zenon_H192 zenon_H102 zenon_H77 zenon_H12e zenon_Hb6 zenon_H3d zenon_H177 zenon_Hbb zenon_Ha9 zenon_Hf6.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.88/22.02 apply (zenon_L71_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.88/22.02 apply (zenon_L146_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.88/22.02 apply (zenon_L363_); trivial.
% 21.88/22.02 apply (zenon_L673_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.02 apply (zenon_L55_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.02 apply (zenon_L178_); trivial.
% 21.88/22.02 apply (zenon_L92_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1131_ *)
% 21.88/22.02 assert (zenon_L1132_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H125 zenon_H6c zenon_H77 zenon_H3c zenon_H1ef zenon_H8a zenon_H34 zenon_H68.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.88/22.02 exact (zenon_H6c zenon_H67).
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.88/22.02 apply (zenon_L24_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.88/22.02 apply (zenon_L533_); trivial.
% 21.88/22.02 apply (zenon_L291_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1132_ *)
% 21.88/22.02 assert (zenon_L1133_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (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)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H1fe zenon_H1f zenon_H48 zenon_Ha9 zenon_Hbb zenon_H177 zenon_H3d zenon_Hb6 zenon_H12e zenon_H192 zenon_H13a zenon_H111 zenon_H139 zenon_H125 zenon_H6c zenon_H77 zenon_H3c zenon_H1ef zenon_H8a zenon_H68.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.88/22.02 exact (zenon_H1f zenon_H1e).
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.88/22.02 apply (zenon_L25_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.88/22.02 exact (zenon_H6c zenon_H67).
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.88/22.02 apply (zenon_L214_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.88/22.02 apply (zenon_L258_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.88/22.02 exact (zenon_H6c zenon_H67).
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.88/22.02 apply (zenon_L24_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.88/22.02 apply (zenon_L27_); trivial.
% 21.88/22.02 apply (zenon_L1131_); trivial.
% 21.88/22.02 apply (zenon_L1132_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1133_ *)
% 21.88/22.02 assert (zenon_L1134_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H240 zenon_H1f zenon_H48 zenon_H3c zenon_H139 zenon_H68 zenon_H13a zenon_Ha9 zenon_H177 zenon_H192 zenon_Hb6 zenon_Hbb zenon_H12e zenon_H125 zenon_H8a zenon_H111 zenon_H3d zenon_H77 zenon_H1ef zenon_H1fe zenon_H31.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 21.88/22.02 exact (zenon_H237 zenon_H31).
% 21.88/22.02 apply (zenon_L1133_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1134_ *)
% 21.88/22.02 assert (zenon_L1135_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H13a zenon_Hb6 zenon_H47 zenon_H77 zenon_H7f zenon_H8a zenon_H190 zenon_H1b3 zenon_H1a8 zenon_H177 zenon_Hbb zenon_Ha9 zenon_Hf6.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.02 apply (zenon_L253_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.02 apply (zenon_L1126_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.02 apply (zenon_L178_); trivial.
% 21.88/22.02 apply (zenon_L92_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1135_ *)
% 21.88/22.02 assert (zenon_L1136_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H18d zenon_H9e zenon_Hb6 zenon_H234 zenon_H3f zenon_H93 zenon_H77 zenon_H212 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H18a zenon_H160 zenon_Hbb zenon_Hbc.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.88/22.02 apply (zenon_L115_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.88/22.02 apply (zenon_L484_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.88/22.02 apply (zenon_L218_); trivial.
% 21.88/22.02 apply (zenon_L873_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1136_ *)
% 21.88/22.02 assert (zenon_L1137_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H164 zenon_H1b7 zenon_H1cb zenon_H68 zenon_H93 zenon_H48 zenon_H5c zenon_H9e zenon_Ha0 zenon_H19a zenon_H212 zenon_H18a zenon_H7f zenon_H7d zenon_Hbc zenon_H160 zenon_H209.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.88/22.02 apply (zenon_L851_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.88/22.02 apply (zenon_L724_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.88/22.02 apply (zenon_L267_); trivial.
% 21.88/22.02 apply (zenon_L417_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1137_ *)
% 21.88/22.02 assert (zenon_L1138_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((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))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e2) = (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) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H15d zenon_H196 zenon_H68 zenon_H12e zenon_H19a zenon_Ha0 zenon_H139 zenon_Hb6 zenon_Ha9 zenon_H13a zenon_H177 zenon_H18d zenon_H1cb zenon_H34 zenon_H1c7 zenon_H93 zenon_H189 zenon_H1b3 zenon_H77 zenon_H1a8 zenon_H48 zenon_H31 zenon_H1bb zenon_H1cd zenon_Hbb zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.88/22.02 apply (zenon_L251_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.02 apply (zenon_L253_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.02 apply (zenon_L110_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.02 apply (zenon_L68_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.88/22.02 apply (zenon_L456_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.88/22.02 apply (zenon_L852_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.88/22.02 apply (zenon_L847_); trivial.
% 21.88/22.02 apply (zenon_L848_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.88/22.02 apply (zenon_L264_); trivial.
% 21.88/22.02 apply (zenon_L167_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.02 apply (zenon_L1115_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.02 apply (zenon_L239_); trivial.
% 21.88/22.02 apply (zenon_L816_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1138_ *)
% 21.88/22.02 assert (zenon_L1139_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((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) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((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))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e2) = (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) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H164 zenon_H117 zenon_H104 zenon_H234 zenon_He4 zenon_Hcc zenon_H1d8 zenon_H55 zenon_H2c zenon_H141 zenon_H73 zenon_H20b zenon_H129 zenon_H20f zenon_H192 zenon_H163 zenon_Hfa zenon_H195 zenon_H173 zenon_H111 zenon_H4e zenon_H1c6 zenon_H25b zenon_H26d zenon_H82 zenon_H156 zenon_H13f zenon_H131 zenon_H1f1 zenon_H1fe zenon_H121 zenon_Hb2 zenon_H179 zenon_H33 zenon_H186 zenon_H1a2 zenon_H8a zenon_Heb zenon_H15d zenon_H196 zenon_H68 zenon_H12e zenon_H19a zenon_Ha0 zenon_H139 zenon_Hb6 zenon_Ha9 zenon_H13a zenon_H177 zenon_H18d zenon_H1cb zenon_H1c7 zenon_H93 zenon_H189 zenon_H1b3 zenon_H77 zenon_H1a8 zenon_H48 zenon_H31 zenon_H1bb zenon_H1cd zenon_Hbb zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.88/22.02 apply (zenon_L817_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.88/22.02 apply (zenon_L1117_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.88/22.02 apply (zenon_L251_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.02 apply (zenon_L253_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.02 apply (zenon_L110_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.02 apply (zenon_L178_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.88/22.02 apply (zenon_L1118_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.88/22.02 apply (zenon_L1136_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.88/22.02 apply (zenon_L1043_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.88/22.02 apply (zenon_L1115_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.88/22.02 apply (zenon_L484_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.88/22.02 apply (zenon_L832_); trivial.
% 21.88/22.02 apply (zenon_L1137_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.88/22.02 apply (zenon_L122_); trivial.
% 21.88/22.02 apply (zenon_L167_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.02 apply (zenon_L1115_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.02 apply (zenon_L239_); trivial.
% 21.88/22.02 apply (zenon_L816_); trivial.
% 21.88/22.02 apply (zenon_L1138_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1139_ *)
% 21.88/22.02 assert (zenon_L1140_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H82 zenon_H196 zenon_H3d zenon_H139 zenon_H195 zenon_H163 zenon_H1b3 zenon_Hfa zenon_H2d zenon_H164 zenon_H68 zenon_H93 zenon_H1bb zenon_H20f zenon_H120 zenon_H181 zenon_Hc4 zenon_H18d zenon_H48 zenon_H129 zenon_H1b4 zenon_H77 zenon_H19a zenon_H31 zenon_H177 zenon_H24e zenon_H1b7 zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H160 zenon_Hbb zenon_H1cd.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.88/22.02 apply (zenon_L818_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.88/22.02 apply (zenon_L1118_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.88/22.02 apply (zenon_L217_); trivial.
% 21.88/22.02 apply (zenon_L867_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1140_ *)
% 21.88/22.02 assert (zenon_L1141_ : (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (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)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H181 zenon_H1b4 zenon_H24e zenon_H1b7 zenon_Hbb zenon_H1cd zenon_H31 zenon_H82 zenon_H196 zenon_H139 zenon_H195 zenon_H163 zenon_H1b3 zenon_Hfa zenon_H164 zenon_H68 zenon_H20f zenon_H18d zenon_H19a zenon_H177 zenon_H117 zenon_Ha0 zenon_Hb6 zenon_H104 zenon_H234 zenon_He4 zenon_Hcc zenon_H1d8 zenon_H55 zenon_H2c zenon_H141 zenon_H15d zenon_H73 zenon_H20b zenon_H192 zenon_H173 zenon_H111 zenon_H4e zenon_H1c6 zenon_H25b zenon_H26d zenon_H189 zenon_H1a8 zenon_H13a zenon_H156 zenon_H13f zenon_H131 zenon_H1f1 zenon_H1cb zenon_H1fe zenon_H121 zenon_Hb2 zenon_H179 zenon_H33 zenon_Ha9 zenon_H186 zenon_H1a2 zenon_H8a zenon_Heb zenon_H12e zenon_H48 zenon_Hc4 zenon_H93 zenon_H129 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1bb zenon_H160 zenon_H77 zenon_H120.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.88/22.02 apply (zenon_L817_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.88/22.02 apply (zenon_L1117_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.88/22.02 apply (zenon_L251_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.02 apply (zenon_L253_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.02 apply (zenon_L110_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.02 apply (zenon_L178_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.88/22.02 apply (zenon_L1118_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.88/22.02 apply (zenon_L540_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.88/22.02 apply (zenon_L1043_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.88/22.02 apply (zenon_L1140_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.88/22.02 apply (zenon_L484_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.88/22.02 apply (zenon_L832_); trivial.
% 21.88/22.02 apply (zenon_L527_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.88/22.02 apply (zenon_L264_); trivial.
% 21.88/22.02 apply (zenon_L167_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.02 apply (zenon_L1140_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.02 apply (zenon_L239_); trivial.
% 21.88/22.02 apply (zenon_L816_); trivial.
% 21.88/22.02 apply (zenon_L528_); trivial.
% 21.88/22.02 (* end of lemma zenon_L1141_ *)
% 21.88/22.02 assert (zenon_L1142_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (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) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((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 (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (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) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> False).
% 21.88/22.02 do 0 intro. intros zenon_H271 zenon_H177 zenon_H12e zenon_H125 zenon_H1ef zenon_H1fe zenon_H24e zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H1b7 zenon_H1b4 zenon_H1bb zenon_H196 zenon_H195 zenon_H163 zenon_H18d zenon_H234 zenon_H33 zenon_H179 zenon_Hb2 zenon_H121 zenon_H1cb zenon_He4 zenon_H1f1 zenon_H13f zenon_H117 zenon_H156 zenon_H82 zenon_H189 zenon_H25b zenon_H1c6 zenon_H173 zenon_H19a zenon_H20f zenon_H129 zenon_H20b zenon_H73 zenon_H164 zenon_H141 zenon_H2c zenon_H55 zenon_H4e zenon_Heb zenon_H109 zenon_H31 zenon_H1d8 zenon_H8a zenon_H26d zenon_H139 zenon_H1b3 zenon_H131 zenon_Hf5 zenon_Hfa zenon_H68 zenon_H77 zenon_H1a8 zenon_H190 zenon_H111 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H1c3 zenon_H1c2 zenon_H13a zenon_H192 zenon_H48 zenon_H15d zenon_H104 zenon_H183 zenon_H186 zenon_H1cd zenon_H1a2 zenon_Hcc.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H181 | zenon_intro zenon_Hbb ].
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.88/22.02 apply (zenon_L2_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.88/22.02 apply (zenon_L700_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.88/22.02 apply (zenon_L782_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.88/22.02 apply (zenon_L757_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.88/22.02 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 21.88/22.02 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 21.88/22.02 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.88/22.02 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.88/22.02 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 21.88/22.02 exact (zenon_H237 zenon_H31).
% 21.88/22.02 apply (zenon_L1123_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.88/22.02 apply (zenon_L11_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.88/22.02 apply (zenon_L787_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.88/22.02 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 21.88/22.02 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 21.88/22.02 apply (zenon_L1127_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.88/22.02 apply (zenon_L814_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.88/22.02 apply (zenon_L88_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.88/22.02 apply (zenon_L37_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.88/22.02 apply (zenon_L232_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.88/22.02 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 21.88/22.02 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 21.88/22.02 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.88/22.02 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.88/22.02 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 21.88/22.02 exact (zenon_H237 zenon_H31).
% 21.88/22.02 apply (zenon_L1130_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.88/22.02 apply (zenon_L1042_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.88/22.02 apply (zenon_L792_); trivial.
% 21.88/22.02 apply (zenon_L51_); trivial.
% 21.88/22.02 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.88/22.03 apply (zenon_L2_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.88/22.03 apply (zenon_L700_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.88/22.03 apply (zenon_L782_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.88/22.03 apply (zenon_L757_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 21.88/22.03 apply (zenon_L1134_); trivial.
% 21.88/22.03 apply (zenon_L1134_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.88/22.03 apply (zenon_L11_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.88/22.03 apply (zenon_L787_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.88/22.03 exact (zenon_H1a3 zenon_Hbb).
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.88/22.03 apply (zenon_L251_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.88/22.03 apply (zenon_L1125_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.88/22.03 apply (zenon_L258_); trivial.
% 21.88/22.03 apply (zenon_L1135_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.03 apply (zenon_L146_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.03 apply (zenon_L239_); trivial.
% 21.88/22.03 apply (zenon_L192_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.88/22.03 apply (zenon_L789_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.88/22.03 apply (zenon_L88_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.88/22.03 apply (zenon_L37_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.88/22.03 exact (zenon_H1a3 zenon_Hbb).
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.88/22.03 apply (zenon_L1139_); trivial.
% 21.88/22.03 apply (zenon_L1139_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.88/22.03 exact (zenon_H1a3 zenon_Hbb).
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.88/22.03 apply (zenon_L1141_); trivial.
% 21.88/22.03 apply (zenon_L1141_); trivial.
% 21.88/22.03 apply (zenon_L1121_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.88/22.03 apply (zenon_L791_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.88/22.03 apply (zenon_L361_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.88/22.03 apply (zenon_L792_); trivial.
% 21.88/22.03 apply (zenon_L51_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1142_ *)
% 21.88/22.03 assert (zenon_L1143_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H92 zenon_H1ef zenon_H13e zenon_H48 zenon_H2d zenon_H16a zenon_H8b zenon_H77 zenon_H7b zenon_H131 zenon_H4d zenon_Ha0 zenon_Ha9 zenon_H104 zenon_Hbb zenon_Hb6 zenon_H117 zenon_H13f.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.88/22.03 apply (zenon_L217_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.88/22.03 apply (zenon_L378_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.88/22.03 apply (zenon_L128_); trivial.
% 21.88/22.03 apply (zenon_L1102_); trivial.
% 21.88/22.03 apply (zenon_L755_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1143_ *)
% 21.88/22.03 assert (zenon_L1144_ : ((op (e0) (e0)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H67 zenon_H93 zenon_H189 zenon_H99 zenon_H109 zenon_H1c3 zenon_H1fe zenon_H1cb zenon_Ha9 zenon_H1f1 zenon_H125 zenon_H94 zenon_H82 zenon_H13c zenon_H141 zenon_H179 zenon_H129 zenon_H163 zenon_Hfa zenon_H131 zenon_H13f zenon_H1c6 zenon_Hb6 zenon_Hf0 zenon_H121 zenon_H104 zenon_H33 zenon_H164 zenon_H11a zenon_H19a zenon_H26d zenon_H18d zenon_H192 zenon_H25e zenon_Hf5 zenon_H20f zenon_H195 zenon_H25b zenon_H12e zenon_H117 zenon_Ha0 zenon_He4 zenon_H55 zenon_H156 zenon_Hb2 zenon_H13a zenon_H48 zenon_H139 zenon_H196 zenon_H177 zenon_H77 zenon_H68 zenon_H31 zenon_H15d zenon_H1a8 zenon_H186 zenon_H4e zenon_H1a2 zenon_H2c zenon_H73 zenon_H4d zenon_H1bb zenon_H1cd zenon_Hbb zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.03 apply (zenon_L251_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.03 apply (zenon_L902_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.03 apply (zenon_L184_); trivial.
% 21.88/22.03 apply (zenon_L816_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1144_ *)
% 21.88/22.03 assert (zenon_L1145_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> False).
% 21.88/22.03 do 0 intro. intros zenon_He2 zenon_H277 zenon_H201 zenon_H266 zenon_H20b zenon_H158 zenon_H13b zenon_H109 zenon_H1c3 zenon_H1c6 zenon_H33 zenon_H11a zenon_H192 zenon_H25e zenon_Hf5 zenon_H20f zenon_H25b zenon_H212 zenon_H73 zenon_H13c zenon_H12e zenon_H270 zenon_Hcc zenon_Hbc zenon_H111 zenon_H271 zenon_H1bb zenon_H190 zenon_H129 zenon_H24e zenon_H5d zenon_H1f1 zenon_H173 zenon_H18a zenon_H125 zenon_H1d5 zenon_H195 zenon_H163 zenon_H18d zenon_H189 zenon_H1b7 zenon_H19a zenon_H13f zenon_H94 zenon_H1a2 zenon_H1cb zenon_H26a zenon_H22d zenon_H141 zenon_H55 zenon_H1fe zenon_H26d zenon_H1ef zenon_H131 zenon_H13e zenon_H77 zenon_H67 zenon_H82 zenon_Ha9 zenon_Hb6 zenon_Ha0 zenon_Hb2 zenon_H24 zenon_H16a zenon_Hf0 zenon_H68 zenon_H1a8 zenon_H186 zenon_H1cd zenon_H1cf zenon_H121 zenon_H1b4 zenon_H104 zenon_H177 zenon_H164 zenon_H179 zenon_H196 zenon_H117 zenon_H2c zenon_H6f zenon_Hfa zenon_H13a zenon_H48 zenon_H4d zenon_H4e zenon_He4 zenon_H7d zenon_H156 zenon_H139 zenon_H15d zenon_H1d8 zenon_H31.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H8b | zenon_intro zenon_H8a ].
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H181 | zenon_intro zenon_Hbb ].
% 21.88/22.03 apply (zenon_L1070_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.88/22.03 apply (zenon_L2_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.88/22.03 apply (zenon_L700_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.88/22.03 apply (zenon_L1143_); trivial.
% 21.88/22.03 apply (zenon_L130_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.88/22.03 apply (zenon_L757_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.88/22.03 apply (zenon_L758_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.88/22.03 apply (zenon_L11_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.88/22.03 apply (zenon_L770_); trivial.
% 21.88/22.03 apply (zenon_L130_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.88/22.03 apply (zenon_L335_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.88/22.03 apply (zenon_L814_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.88/22.03 apply (zenon_L343_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.88/22.03 apply (zenon_L37_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.88/22.03 exact (zenon_H1a3 zenon_Hbb).
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 21.88/22.03 apply (zenon_L1144_); trivial.
% 21.88/22.03 apply (zenon_L1144_); trivial.
% 21.88/22.03 apply (zenon_L896_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.88/22.03 apply (zenon_L791_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.88/22.03 apply (zenon_L361_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.88/22.03 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.88/22.03 apply (zenon_L1069_); trivial.
% 21.88/22.03 apply (zenon_L51_); trivial.
% 21.88/22.03 apply (zenon_L1044_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1145_ *)
% 21.88/22.03 assert (zenon_L1146_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H28 zenon_H38 zenon_H1fb.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 21.88/22.03 apply (zenon_L316_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1146_ *)
% 21.88/22.03 assert (zenon_L1147_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H2f zenon_H38 zenon_H26d.
% 21.88/22.03 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 21.88/22.03 apply (zenon_L756_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1147_ *)
% 21.88/22.03 assert (zenon_L1148_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H13a zenon_H47 zenon_Hb6 zenon_H3d zenon_Ha9 zenon_H66 zenon_H38 zenon_Ha0.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.03 apply (zenon_L253_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.03 apply (zenon_L55_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.03 apply (zenon_L193_); trivial.
% 21.88/22.03 apply (zenon_L156_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1148_ *)
% 21.88/22.03 assert (zenon_L1149_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H139 zenon_H77 zenon_Ha0 zenon_Ha9 zenon_H3d zenon_Hb6 zenon_H47 zenon_H13a zenon_H38 zenon_H68.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.88/22.03 apply (zenon_L251_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.88/22.03 apply (zenon_L214_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.88/22.03 apply (zenon_L1148_); trivial.
% 21.88/22.03 apply (zenon_L165_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1149_ *)
% 21.88/22.03 assert (zenon_L1150_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H1a2 zenon_Hb6 zenon_H153 zenon_Hef zenon_H14c zenon_H191 zenon_H1a3.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.88/22.03 apply (zenon_L95_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.88/22.03 apply (zenon_L265_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.88/22.03 exact (zenon_H191 zenon_H110).
% 21.88/22.03 exact (zenon_H1a3 zenon_Hbb).
% 21.88/22.03 (* end of lemma zenon_L1150_ *)
% 21.88/22.03 assert (zenon_L1151_ : (((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) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H18d zenon_H48 zenon_H38 zenon_H5d zenon_H3c zenon_Hb9 zenon_Hb6 zenon_H106 zenon_H1cb.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.88/22.03 apply (zenon_L246_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.88/22.03 apply (zenon_L17_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.88/22.03 apply (zenon_L182_); trivial.
% 21.88/22.03 apply (zenon_L846_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1151_ *)
% 21.88/22.03 assert (zenon_L1152_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (((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)) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H117 zenon_H9f zenon_H2c zenon_Ha9 zenon_H6d zenon_H191 zenon_H18d zenon_H48 zenon_H38 zenon_H5d zenon_H3c zenon_Hb6 zenon_H106 zenon_H1cb.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.88/22.03 apply (zenon_L1065_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.88/22.03 apply (zenon_L289_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.88/22.03 exact (zenon_H191 zenon_H110).
% 21.88/22.03 apply (zenon_L1151_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1152_ *)
% 21.88/22.03 assert (zenon_L1153_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H183 zenon_H68 zenon_H34 zenon_Hac zenon_Ha9 zenon_H106 zenon_H77 zenon_Hf7 zenon_H20f.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.88/22.03 apply (zenon_L291_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.88/22.03 apply (zenon_L371_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.88/22.03 apply (zenon_L367_); trivial.
% 21.88/22.03 apply (zenon_L570_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1153_ *)
% 21.88/22.03 assert (zenon_L1154_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H121 zenon_H33 zenon_H9f zenon_H20f zenon_Hf7 zenon_H77 zenon_H106 zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_H1a3 zenon_Hc4.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.88/22.03 apply (zenon_L245_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.88/22.03 apply (zenon_L1153_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.88/22.03 exact (zenon_H1a3 zenon_Hbb).
% 21.88/22.03 exact (zenon_Hc4 zenon_Hc3).
% 21.88/22.03 (* end of lemma zenon_L1154_ *)
% 21.88/22.03 assert (zenon_L1155_ : (~((op (op (e3) (e3)) (op (e3) (e3))) = (op (e2) (e2)))) -> ((op (e3) (e3)) = (e2)) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H278 zenon_H17c.
% 21.88/22.03 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 21.88/22.03 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 21.88/22.03 congruence.
% 21.88/22.03 exact (zenon_H181 zenon_H17c).
% 21.88/22.03 exact (zenon_H181 zenon_H17c).
% 21.88/22.03 (* end of lemma zenon_L1155_ *)
% 21.88/22.03 assert (zenon_L1156_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e2)) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H279 zenon_H17c.
% 21.88/22.03 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 21.88/22.03 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 21.88/22.03 congruence.
% 21.88/22.03 apply zenon_Ha2. apply refl_equal.
% 21.88/22.03 exact (zenon_H181 zenon_H17c).
% 21.88/22.03 (* end of lemma zenon_L1156_ *)
% 21.88/22.03 assert (zenon_L1157_ : ((op (e2) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H14c zenon_H106 zenon_H17c.
% 21.88/22.03 apply (zenon_notand_s _ _ ax9); [ zenon_intro zenon_H273 | zenon_intro zenon_H27a ].
% 21.88/22.03 elim (classic ((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ].
% 21.88/22.03 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3)))) = ((e0) = (op (op (e3) (e3)) (op (e3) (e3))))).
% 21.88/22.03 intro zenon_D_pnotp.
% 21.88/22.03 apply zenon_H273.
% 21.88/22.03 rewrite <- zenon_D_pnotp.
% 21.88/22.03 exact zenon_H24a.
% 21.88/22.03 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24b].
% 21.88/22.03 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H274].
% 21.88/22.03 congruence.
% 21.88/22.03 cut (((op (e2) (e2)) = (e0)) = ((op (op (e3) (e3)) (op (e3) (e3))) = (e0))).
% 21.88/22.03 intro zenon_D_pnotp.
% 21.88/22.03 apply zenon_H274.
% 21.88/22.03 rewrite <- zenon_D_pnotp.
% 21.88/22.03 exact zenon_H14c.
% 21.88/22.03 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.88/22.03 cut (((op (e2) (e2)) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H27b].
% 21.88/22.03 congruence.
% 21.88/22.03 elim (classic ((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ].
% 21.88/22.03 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3)))) = ((op (e2) (e2)) = (op (op (e3) (e3)) (op (e3) (e3))))).
% 21.88/22.03 intro zenon_D_pnotp.
% 21.88/22.03 apply zenon_H27b.
% 21.88/22.03 rewrite <- zenon_D_pnotp.
% 21.88/22.03 exact zenon_H24a.
% 21.88/22.03 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24b].
% 21.88/22.03 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 21.88/22.03 congruence.
% 21.88/22.03 apply (zenon_L1155_); trivial.
% 21.88/22.03 apply zenon_H24b. apply refl_equal.
% 21.88/22.03 apply zenon_H24b. apply refl_equal.
% 21.88/22.03 apply zenon_H46. apply refl_equal.
% 21.88/22.03 apply zenon_H24b. apply refl_equal.
% 21.88/22.03 apply zenon_H24b. apply refl_equal.
% 21.88/22.03 apply (zenon_notand_s _ _ zenon_H27a); [ zenon_intro zenon_H27c | zenon_intro zenon_H243 ].
% 21.88/22.03 apply zenon_H27c. apply sym_equal. exact zenon_H17c.
% 21.88/22.03 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H244 | zenon_intro zenon_H245 ].
% 21.88/22.03 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e1) = (op (e3) (op (e3) (e3))))).
% 21.88/22.03 intro zenon_D_pnotp.
% 21.88/22.03 apply zenon_H243.
% 21.88/22.03 rewrite <- zenon_D_pnotp.
% 21.88/22.03 exact zenon_H244.
% 21.88/22.03 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H245].
% 21.88/22.03 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H246].
% 21.88/22.03 congruence.
% 21.88/22.03 cut (((op (e3) (e2)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))).
% 21.88/22.03 intro zenon_D_pnotp.
% 21.88/22.03 apply zenon_H246.
% 21.88/22.03 rewrite <- zenon_D_pnotp.
% 21.88/22.03 exact zenon_H106.
% 21.88/22.03 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.88/22.03 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H27d].
% 21.88/22.03 congruence.
% 21.88/22.03 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H244 | zenon_intro zenon_H245 ].
% 21.88/22.03 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))).
% 21.88/22.03 intro zenon_D_pnotp.
% 21.88/22.03 apply zenon_H27d.
% 21.88/22.03 rewrite <- zenon_D_pnotp.
% 21.88/22.03 exact zenon_H244.
% 21.88/22.03 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H245].
% 21.88/22.03 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H279].
% 21.88/22.03 congruence.
% 21.88/22.03 apply (zenon_L1156_); trivial.
% 21.88/22.03 apply zenon_H245. apply refl_equal.
% 21.88/22.03 apply zenon_H245. apply refl_equal.
% 21.88/22.03 apply zenon_H4a. apply refl_equal.
% 21.88/22.03 apply zenon_H245. apply refl_equal.
% 21.88/22.03 apply zenon_H245. apply refl_equal.
% 21.88/22.03 (* end of lemma zenon_L1157_ *)
% 21.88/22.03 assert (zenon_L1158_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H1c3 zenon_H38 zenon_Hc4 zenon_H1a3 zenon_H183 zenon_H68 zenon_H34 zenon_Ha9 zenon_H77 zenon_H20f zenon_H9f zenon_H33 zenon_H121 zenon_H8a zenon_H1c2 zenon_H14c zenon_H106.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.88/22.03 apply (zenon_L165_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.88/22.03 apply (zenon_L1154_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.88/22.03 apply (zenon_L207_); trivial.
% 21.88/22.03 apply (zenon_L1157_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1158_ *)
% 21.88/22.03 assert (zenon_L1159_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H93 zenon_H77 zenon_H106 zenon_H1cb.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.88/22.03 apply (zenon_L246_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.88/22.03 apply (zenon_L413_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.88/22.03 apply (zenon_L218_); trivial.
% 21.88/22.03 apply (zenon_L846_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1159_ *)
% 21.88/22.03 assert (zenon_L1160_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((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))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H16a zenon_H67 zenon_Hb6 zenon_H3c zenon_H5d zenon_H191 zenon_H2c zenon_H117 zenon_H14c zenon_H1c2 zenon_H121 zenon_H33 zenon_H9f zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_H1a3 zenon_H1c3 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H106 zenon_H1cb.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.88/22.03 apply (zenon_L180_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.88/22.03 apply (zenon_L1152_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.88/22.03 apply (zenon_L1158_); trivial.
% 21.88/22.03 apply (zenon_L1159_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1160_ *)
% 21.88/22.03 assert (zenon_L1161_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((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))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H201 zenon_Hef zenon_H1a2 zenon_H4e zenon_H16a zenon_H67 zenon_Hb6 zenon_H3c zenon_H5d zenon_H191 zenon_H2c zenon_H117 zenon_H14c zenon_H1c2 zenon_H121 zenon_H33 zenon_H9f zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_H1a3 zenon_H1c3 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.88/22.03 apply (zenon_L1150_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.88/22.03 apply (zenon_L14_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.88/22.03 apply (zenon_L255_); trivial.
% 21.88/22.03 apply (zenon_L1160_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1161_ *)
% 21.88/22.03 assert (zenon_L1162_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H196 zenon_H38 zenon_H115.
% 21.88/22.03 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 21.88/22.03 intro zenon_D_pnotp.
% 21.88/22.03 apply zenon_H196.
% 21.88/22.03 rewrite <- zenon_D_pnotp.
% 21.88/22.03 exact zenon_H38.
% 21.88/22.03 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1fa].
% 21.88/22.03 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 21.88/22.03 congruence.
% 21.88/22.03 apply zenon_Hf9. apply refl_equal.
% 21.88/22.03 apply zenon_H1fa. apply sym_equal. exact zenon_H115.
% 21.88/22.03 (* end of lemma zenon_L1162_ *)
% 21.88/22.03 assert (zenon_L1163_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H141 zenon_H109 zenon_He7 zenon_Hf0 zenon_H1cb zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H1c3 zenon_H1a3 zenon_H183 zenon_H68 zenon_H34 zenon_Ha9 zenon_H9f zenon_H33 zenon_H121 zenon_H1c2 zenon_H117 zenon_H2c zenon_H191 zenon_H5d zenon_H3c zenon_Hb6 zenon_H67 zenon_H16a zenon_H4e zenon_H1a2 zenon_Hef zenon_H201 zenon_H196 zenon_H38.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.88/22.03 apply (zenon_L359_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.88/22.03 apply (zenon_L929_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.88/22.03 apply (zenon_L1161_); trivial.
% 21.88/22.03 apply (zenon_L1162_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1163_ *)
% 21.88/22.03 assert (zenon_L1164_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H1c6 zenon_Hb6 zenon_H3d zenon_H159 zenon_Ha9 zenon_H6d zenon_H1c7.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.88/22.03 apply (zenon_L55_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.88/22.03 exact (zenon_H159 zenon_H10c).
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.88/22.03 apply (zenon_L289_); trivial.
% 21.88/22.03 exact (zenon_H1c7 zenon_Hac).
% 21.88/22.03 (* end of lemma zenon_L1164_ *)
% 21.88/22.03 assert (zenon_L1165_ : (((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H231 zenon_H34 zenon_Hbc zenon_H7f zenon_H1cd zenon_H1cb zenon_H17c zenon_H1a3.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H11d | zenon_intro zenon_H232 ].
% 21.88/22.03 apply (zenon_L328_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H106 | zenon_intro zenon_H233 ].
% 21.88/22.03 apply (zenon_L331_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H160 | zenon_intro zenon_Hbb ].
% 21.88/22.03 apply (zenon_L236_); trivial.
% 21.88/22.03 exact (zenon_H1a3 zenon_Hbb).
% 21.88/22.03 (* end of lemma zenon_L1165_ *)
% 21.88/22.03 assert (zenon_L1166_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((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)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H212 zenon_H1a3 zenon_H1cb zenon_H1cd zenon_Hbc zenon_H231 zenon_H7f zenon_H18a zenon_H17c zenon_Hac zenon_H7d.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H34 | zenon_intro zenon_H213 ].
% 21.88/22.03 apply (zenon_L1165_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H7e | zenon_intro zenon_H214 ].
% 21.88/22.03 apply (zenon_L31_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H102 | zenon_intro zenon_H9d ].
% 21.88/22.03 apply (zenon_L268_); trivial.
% 21.88/22.03 apply (zenon_L44_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1166_ *)
% 21.88/22.03 assert (zenon_L1167_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H121 zenon_H33 zenon_H9f zenon_H7d zenon_H17c zenon_H18a zenon_H7f zenon_H231 zenon_Hbc zenon_H1cd zenon_H1cb zenon_H212 zenon_H1a3 zenon_Hc4.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.88/22.03 apply (zenon_L245_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.88/22.03 apply (zenon_L1166_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.88/22.03 exact (zenon_H1a3 zenon_Hbb).
% 21.88/22.03 exact (zenon_Hc4 zenon_Hc3).
% 21.88/22.03 (* end of lemma zenon_L1167_ *)
% 21.88/22.03 assert (zenon_L1168_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H8a zenon_H104 zenon_H121 zenon_H33 zenon_H9f zenon_H7d zenon_H18a zenon_H7f zenon_H231 zenon_Hbc zenon_H1cd zenon_H1cb zenon_H212 zenon_H1a3 zenon_Hc4.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.88/22.03 apply (zenon_L291_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.88/22.03 apply (zenon_L169_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.88/22.03 apply (zenon_L231_); trivial.
% 21.88/22.03 apply (zenon_L1167_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1168_ *)
% 21.88/22.03 assert (zenon_L1169_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H12e zenon_H48 zenon_H212 zenon_H1cb zenon_Hbc zenon_H231 zenon_H18a zenon_H104 zenon_H14c zenon_H1c2 zenon_H8a zenon_H121 zenon_H33 zenon_H9f zenon_H20f zenon_Ha9 zenon_H1a3 zenon_Hc4 zenon_H38 zenon_H1c3 zenon_H183 zenon_H68 zenon_He7 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H77.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.88/22.03 apply (zenon_L456_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.88/22.03 apply (zenon_L1168_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.88/22.03 apply (zenon_L1158_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.88/22.03 apply (zenon_L291_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.88/22.03 apply (zenon_L964_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.88/22.03 apply (zenon_L848_); trivial.
% 21.88/22.03 apply (zenon_L884_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1169_ *)
% 21.88/22.03 assert (zenon_L1170_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H1a2 zenon_Hb6 zenon_H153 zenon_Ha9 zenon_H72 zenon_H14c zenon_Ha0 zenon_H1a3.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.88/22.03 apply (zenon_L95_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.88/22.03 apply (zenon_L436_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.88/22.03 apply (zenon_L278_); trivial.
% 21.88/22.03 exact (zenon_H1a3 zenon_Hbb).
% 21.88/22.03 (* end of lemma zenon_L1170_ *)
% 21.88/22.03 assert (zenon_L1171_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H1cf zenon_H1d5 zenon_H67 zenon_H1a3 zenon_Ha0 zenon_H14c zenon_Ha9 zenon_H153 zenon_Hb6 zenon_H1a2 zenon_H93 zenon_H1c2 zenon_H171 zenon_H1cd.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.88/22.03 apply (zenon_L252_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.88/22.03 apply (zenon_L1170_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.88/22.03 apply (zenon_L207_); trivial.
% 21.88/22.03 apply (zenon_L240_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1171_ *)
% 21.88/22.03 assert (zenon_L1172_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H201 zenon_H1cd zenon_H1c2 zenon_H1a2 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H1a3 zenon_H67 zenon_H1d5 zenon_H1cf zenon_H171 zenon_He7 zenon_H163 zenon_H192 zenon_H3d zenon_H34 zenon_H12e zenon_H14c zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H93 zenon_H77 zenon_H1cb.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.88/22.03 apply (zenon_L1171_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.88/22.03 apply (zenon_L965_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.88/22.03 apply (zenon_L255_); trivial.
% 21.88/22.03 apply (zenon_L1159_); trivial.
% 21.88/22.03 (* end of lemma zenon_L1172_ *)
% 21.88/22.03 assert (zenon_L1173_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e2)) = (e3))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H1a2 zenon_Ha9 zenon_H66 zenon_H186 zenon_Ha5 zenon_H190 zenon_H10d zenon_H1a3.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.88/22.03 apply (zenon_L193_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.88/22.03 apply (zenon_L308_); trivial.
% 21.88/22.03 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.88/22.03 apply (zenon_L163_); trivial.
% 21.88/22.03 exact (zenon_H1a3 zenon_Hbb).
% 21.88/22.03 (* end of lemma zenon_L1173_ *)
% 21.88/22.03 assert (zenon_L1174_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.88/22.03 do 0 intro. intros zenon_H1c6 zenon_Hb6 zenon_H3d zenon_H159 zenon_H1a3 zenon_H190 zenon_Ha5 zenon_H186 zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H1c7.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.88/22.04 apply (zenon_L55_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.88/22.04 exact (zenon_H159 zenon_H10c).
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.88/22.04 apply (zenon_L1173_); trivial.
% 21.88/22.04 exact (zenon_H1c7 zenon_Hac).
% 21.88/22.04 (* end of lemma zenon_L1174_ *)
% 21.88/22.04 assert (zenon_L1175_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H1cf zenon_H1a2 zenon_Ha9 zenon_H186 zenon_H190 zenon_H1a3 zenon_H159 zenon_Hb6 zenon_H1c6 zenon_H156 zenon_Hef zenon_H93 zenon_H1c2 zenon_H12e zenon_H48 zenon_H3d zenon_H192 zenon_H4d zenon_H163 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.88/22.04 apply (zenon_L900_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.88/22.04 exact (zenon_H159 zenon_H10c).
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.88/22.04 apply (zenon_L124_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.88/22.04 apply (zenon_L1174_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.88/22.04 apply (zenon_L100_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.88/22.04 apply (zenon_L207_); trivial.
% 21.88/22.04 apply (zenon_L853_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1175_ *)
% 21.88/22.04 assert (zenon_L1176_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Ha0 zenon_H73 zenon_H163 zenon_H1d4 zenon_H4e zenon_H25 zenon_H1ec zenon_H131 zenon_H158 zenon_H2a zenon_H173 zenon_H40 zenon_H156 zenon_H159 zenon_Ha9 zenon_H1cf zenon_Hc3 zenon_H1b4.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.04 exact (zenon_Ha4 zenon_H9f).
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.04 apply (zenon_L53_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.04 apply (zenon_L276_); trivial.
% 21.88/22.04 apply (zenon_L602_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1176_ *)
% 21.88/22.04 assert (zenon_L1177_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H169 zenon_Ha4 zenon_Ha0 zenon_H2a zenon_H1cf zenon_H163 zenon_H4e zenon_H25 zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H40 zenon_H156 zenon_H159 zenon_H158 zenon_Ha9 zenon_H1b4 zenon_Hc3 zenon_H13a.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 21.88/22.04 apply (zenon_L1176_); trivial.
% 21.88/22.04 apply (zenon_L304_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1177_ *)
% 21.88/22.04 assert (zenon_L1178_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H28 zenon_H13a zenon_Hc3 zenon_H1b4 zenon_Ha9 zenon_H158 zenon_H159 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_Ha4.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 21.88/22.04 apply (zenon_L1177_); trivial.
% 21.88/22.04 apply (zenon_L1177_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1178_ *)
% 21.88/22.04 assert (zenon_L1179_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (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 (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_H191 zenon_H8b zenon_H266 zenon_H2d zenon_H55 zenon_H190 zenon_H1ba zenon_H6f zenon_H1ef zenon_H13e zenon_Ha0 zenon_H31 zenon_Hc3 zenon_H1b4.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.04 exact (zenon_Ha4 zenon_H9f).
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.04 apply (zenon_L730_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.04 apply (zenon_L68_); trivial.
% 21.88/22.04 apply (zenon_L602_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1179_ *)
% 21.88/22.04 assert (zenon_L1180_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e3) (e3)) = (e3)) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H36 zenon_Hc3.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.88/22.04 apply (zenon_L50_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1180_ *)
% 21.88/22.04 assert (zenon_L1181_ : ((op (e3) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_Hc3 zenon_Ha5 zenon_H20f.
% 21.88/22.04 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.88/22.04 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 21.88/22.04 intro zenon_D_pnotp.
% 21.88/22.04 apply zenon_H20f.
% 21.88/22.04 rewrite <- zenon_D_pnotp.
% 21.88/22.04 exact zenon_H12a.
% 21.88/22.04 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.88/22.04 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H210].
% 21.88/22.04 congruence.
% 21.88/22.04 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e1) (e3)))).
% 21.88/22.04 intro zenon_D_pnotp.
% 21.88/22.04 apply zenon_H210.
% 21.88/22.04 rewrite <- zenon_D_pnotp.
% 21.88/22.04 exact zenon_Hc3.
% 21.88/22.04 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ac].
% 21.88/22.04 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.88/22.04 congruence.
% 21.88/22.04 apply zenon_H12b. apply refl_equal.
% 21.88/22.04 apply zenon_H1ac. apply sym_equal. exact zenon_Ha5.
% 21.88/22.04 apply zenon_H12b. apply refl_equal.
% 21.88/22.04 apply zenon_H12b. apply refl_equal.
% 21.88/22.04 (* end of lemma zenon_L1181_ *)
% 21.88/22.04 assert (zenon_L1182_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H13c zenon_Hb6 zenon_H3c zenon_H159 zenon_Hfe zenon_H73 zenon_Hc3 zenon_H20f.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.88/22.04 apply (zenon_L46_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.88/22.04 exact (zenon_H159 zenon_H10c).
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.88/22.04 apply (zenon_L89_); trivial.
% 21.88/22.04 apply (zenon_L1181_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1182_ *)
% 21.88/22.04 assert (zenon_L1183_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_H3d zenon_H20f zenon_H73 zenon_H159 zenon_H3c zenon_Hb6 zenon_H13c zenon_Hc3 zenon_H1b4.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.04 exact (zenon_Ha4 zenon_H9f).
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.04 apply (zenon_L55_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.04 apply (zenon_L1182_); trivial.
% 21.88/22.04 apply (zenon_L602_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1183_ *)
% 21.88/22.04 assert (zenon_L1184_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H3a zenon_H13a zenon_Ha4 zenon_H20f zenon_H73 zenon_H159 zenon_Hb6 zenon_H13c zenon_Hc3 zenon_H1b4.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 21.88/22.04 apply (zenon_L1183_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1184_ *)
% 21.88/22.04 assert (zenon_L1185_ : ((op (e3) (e3)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_Hc3 zenon_Hac zenon_H1b7.
% 21.88/22.04 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ].
% 21.88/22.04 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 21.88/22.04 intro zenon_D_pnotp.
% 21.88/22.04 apply zenon_H1b7.
% 21.88/22.04 rewrite <- zenon_D_pnotp.
% 21.88/22.04 exact zenon_H12a.
% 21.88/22.04 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.88/22.04 cut (((op (e3) (e3)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1b8].
% 21.88/22.04 congruence.
% 21.88/22.04 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e3) (e1)))).
% 21.88/22.04 intro zenon_D_pnotp.
% 21.88/22.04 apply zenon_H1b8.
% 21.88/22.04 rewrite <- zenon_D_pnotp.
% 21.88/22.04 exact zenon_Hc3.
% 21.88/22.04 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H207].
% 21.88/22.04 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 21.88/22.04 congruence.
% 21.88/22.04 apply zenon_H12b. apply refl_equal.
% 21.88/22.04 apply zenon_H207. apply sym_equal. exact zenon_Hac.
% 21.88/22.04 apply zenon_H12b. apply refl_equal.
% 21.88/22.04 apply zenon_H12b. apply refl_equal.
% 21.88/22.04 (* end of lemma zenon_L1185_ *)
% 21.88/22.04 assert (zenon_L1186_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H1a2 zenon_Ha9 zenon_H66 zenon_Hb6 zenon_H4d zenon_H191 zenon_Hc3 zenon_H1cb.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.88/22.04 apply (zenon_L193_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.88/22.04 apply (zenon_L124_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.88/22.04 exact (zenon_H191 zenon_H110).
% 21.88/22.04 apply (zenon_L622_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1186_ *)
% 21.88/22.04 assert (zenon_L1187_ : (((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 (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H27e zenon_H38 zenon_H196 zenon_H5c zenon_H195 zenon_H189 zenon_H6d zenon_Hc3 zenon_H129.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H115 | zenon_intro zenon_H27f ].
% 21.88/22.04 apply (zenon_L1162_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H128 | zenon_intro zenon_H280 ].
% 21.88/22.04 apply (zenon_L149_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H93 | zenon_intro zenon_Hb9 ].
% 21.88/22.04 apply (zenon_L439_); trivial.
% 21.88/22.04 apply (zenon_L189_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1187_ *)
% 21.88/22.04 assert (zenon_L1188_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((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) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H5a zenon_H25b zenon_H38 zenon_Hf5 zenon_H186 zenon_H195 zenon_H93 zenon_Hc3 zenon_H20f.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H136 | zenon_intro zenon_H25c ].
% 21.88/22.04 apply (zenon_L663_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H5c | zenon_intro zenon_H25d ].
% 21.88/22.04 apply (zenon_L138_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Ha5 ].
% 21.88/22.04 apply (zenon_L228_); trivial.
% 21.88/22.04 apply (zenon_L1181_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1188_ *)
% 21.88/22.04 assert (zenon_L1189_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((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) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H16a zenon_H7b zenon_Hb6 zenon_H189 zenon_H53 zenon_H27e zenon_H196 zenon_H129 zenon_H48 zenon_H18d zenon_H8b zenon_H5a zenon_H25b zenon_H38 zenon_Hf5 zenon_H186 zenon_H195 zenon_Hc3 zenon_H20f.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.88/22.04 exact (zenon_H7b zenon_H65).
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.88/22.04 apply (zenon_L246_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.88/22.04 apply (zenon_L1187_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.88/22.04 apply (zenon_L139_); trivial.
% 21.88/22.04 apply (zenon_L81_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.88/22.04 exact (zenon_H8b zenon_H8a).
% 21.88/22.04 apply (zenon_L1188_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1189_ *)
% 21.88/22.04 assert (zenon_L1190_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (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) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H236 zenon_H77 zenon_Ha9 zenon_H68 zenon_H139 zenon_H1b7 zenon_H159 zenon_H1c6 zenon_H1cb zenon_H191 zenon_H4d zenon_Ha0 zenon_H1a2 zenon_H16a zenon_H7b zenon_Hb6 zenon_H189 zenon_H53 zenon_H27e zenon_H196 zenon_H129 zenon_H48 zenon_H18d zenon_H8b zenon_H5a zenon_H25b zenon_Hf5 zenon_H186 zenon_H195 zenon_Hc3 zenon_H20f.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.88/22.04 apply (zenon_L20_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.88/22.04 apply (zenon_L110_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.88/22.04 exact (zenon_H159 zenon_H10c).
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.88/22.04 apply (zenon_L113_); trivial.
% 21.88/22.04 apply (zenon_L1185_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.88/22.04 apply (zenon_L1186_); trivial.
% 21.88/22.04 apply (zenon_L321_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.88/22.04 apply (zenon_L53_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.88/22.04 exact (zenon_H159 zenon_H10c).
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.88/22.04 apply (zenon_L113_); trivial.
% 21.88/22.04 apply (zenon_L1185_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 21.88/22.04 apply (zenon_L762_); trivial.
% 21.88/22.04 apply (zenon_L1189_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1190_ *)
% 21.88/22.04 assert (zenon_L1191_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e3) (e3)) = (e3)) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H61 zenon_Hc3.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.88/22.04 apply (zenon_L50_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1191_ *)
% 21.88/22.04 assert (zenon_L1192_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H117 zenon_Ha9 zenon_H65 zenon_Hdb zenon_H6f zenon_H191 zenon_Hc3 zenon_H129.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.88/22.04 apply (zenon_L43_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.88/22.04 apply (zenon_L205_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.88/22.04 exact (zenon_H191 zenon_H110).
% 21.88/22.04 apply (zenon_L189_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1192_ *)
% 21.88/22.04 assert (zenon_L1193_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_H129 zenon_H191 zenon_H6f zenon_H65 zenon_H117 zenon_Ha9 zenon_H66 zenon_Hc3 zenon_H1b4.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.04 exact (zenon_Ha4 zenon_H9f).
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.04 apply (zenon_L1192_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.04 apply (zenon_L193_); trivial.
% 21.88/22.04 apply (zenon_L602_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1193_ *)
% 21.88/22.04 assert (zenon_L1194_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H63 zenon_H13a zenon_Ha4 zenon_H129 zenon_H191 zenon_H6f zenon_H117 zenon_Ha9 zenon_Hc3 zenon_H1b4.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 21.88/22.04 apply (zenon_L1193_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1194_ *)
% 21.88/22.04 assert (zenon_L1195_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H1c6 zenon_Hb6 zenon_H3d zenon_H159 zenon_Ha9 zenon_H6d zenon_Hc3 zenon_H1b7.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.88/22.04 apply (zenon_L55_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.88/22.04 exact (zenon_H159 zenon_H10c).
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.88/22.04 apply (zenon_L289_); trivial.
% 21.88/22.04 apply (zenon_L1185_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1195_ *)
% 21.88/22.04 assert (zenon_L1196_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H1a2 zenon_Hb6 zenon_H153 zenon_Ha9 zenon_H72 zenon_H191 zenon_Hc3 zenon_H1cb.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.88/22.04 apply (zenon_L95_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.88/22.04 apply (zenon_L436_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.88/22.04 exact (zenon_H191 zenon_H110).
% 21.88/22.04 apply (zenon_L622_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1196_ *)
% 21.88/22.04 assert (zenon_L1197_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H15d zenon_H48 zenon_H1e zenon_H1b7 zenon_H6d zenon_H159 zenon_H1c6 zenon_H1cb zenon_Hc3 zenon_H191 zenon_H72 zenon_Ha9 zenon_Hb6 zenon_H1a2 zenon_H5c zenon_Hf5.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.04 apply (zenon_L13_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.04 apply (zenon_L1195_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.04 apply (zenon_L1196_); trivial.
% 21.88/22.04 apply (zenon_L192_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1197_ *)
% 21.88/22.04 assert (zenon_L1198_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_Heb zenon_H7a zenon_H40 zenon_H77 zenon_H15d zenon_H48 zenon_H1e zenon_H1b7 zenon_H6d zenon_H159 zenon_H1c6 zenon_H1cb zenon_Hc3 zenon_H191 zenon_H72 zenon_Ha9 zenon_Hb6 zenon_H1a2 zenon_Hf5.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.88/22.04 exact (zenon_H7a zenon_H3c).
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.88/22.04 exact (zenon_H40 zenon_H3f).
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.88/22.04 apply (zenon_L59_); trivial.
% 21.88/22.04 apply (zenon_L1197_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1198_ *)
% 21.88/22.04 assert (zenon_L1199_ : (((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) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Ha9 zenon_H72 zenon_H191 zenon_Hc3 zenon_H1cb.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.88/22.04 apply (zenon_L68_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.88/22.04 apply (zenon_L436_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.88/22.04 exact (zenon_H191 zenon_H110).
% 21.88/22.04 apply (zenon_L622_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1199_ *)
% 21.88/22.04 assert (zenon_L1200_ : (((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)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H1c3 zenon_H68 zenon_H38 zenon_H72 zenon_H186 zenon_H189 zenon_H6d zenon_Ha9 zenon_Hc3.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.88/22.04 apply (zenon_L165_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.88/22.04 apply (zenon_L438_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.88/22.04 apply (zenon_L439_); trivial.
% 21.88/22.04 apply (zenon_L133_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1200_ *)
% 21.88/22.04 assert (zenon_L1201_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e3) (e3)) = (e3)) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H99 zenon_Hc3.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.88/22.04 apply (zenon_L50_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1201_ *)
% 21.88/22.04 assert (zenon_L1202_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H9b zenon_Hc3 zenon_H1b4.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 21.88/22.04 apply (zenon_L602_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1202_ *)
% 21.88/22.04 assert (zenon_L1203_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_Hb1 zenon_Hc3 zenon_H20f.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 21.88/22.04 apply (zenon_L1181_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1203_ *)
% 21.88/22.04 assert (zenon_L1204_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_Hc5.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hc3. zenon_intro zenon_Hc6.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hc3. zenon_intro zenon_H39.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.88/22.04 apply (zenon_L50_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1204_ *)
% 21.88/22.04 assert (zenon_L1205_ : ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((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))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 21.88/22.04 do 0 intro. intros zenon_Hcc zenon_H1fb zenon_H26d zenon_H159 zenon_H73 zenon_H13c zenon_H18d zenon_Hb6 zenon_H196 zenon_H195 zenon_H27e zenon_H48 zenon_Hf5 zenon_H25b zenon_H16a zenon_H190 zenon_H13e zenon_H13a zenon_H6f zenon_H191 zenon_H117 zenon_Ha9 zenon_H189 zenon_H186 zenon_H38 zenon_H68 zenon_H1c3 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc3.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.88/22.04 apply (zenon_L2_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.88/22.04 apply (zenon_L1146_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.88/22.04 apply (zenon_L1147_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.88/22.04 apply (zenon_L1180_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 21.88/22.04 exact (zenon_H238 zenon_H38).
% 21.88/22.04 apply (zenon_L1183_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.88/22.04 apply (zenon_L11_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.88/22.04 apply (zenon_L1189_); trivial.
% 21.88/22.04 apply (zenon_L1189_); trivial.
% 21.88/22.04 apply (zenon_L176_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.88/22.04 apply (zenon_L1191_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 21.88/22.04 exact (zenon_H238 zenon_H38).
% 21.88/22.04 apply (zenon_L1193_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 21.88/22.04 apply (zenon_L1200_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.88/22.04 apply (zenon_L37_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.88/22.04 apply (zenon_L1201_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.88/22.04 apply (zenon_L1202_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.88/22.04 apply (zenon_L1203_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.88/22.04 apply (zenon_L190_); trivial.
% 21.88/22.04 apply (zenon_L1204_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1205_ *)
% 21.88/22.04 assert (zenon_L1206_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H3a zenon_H5c zenon_H5d.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 21.88/22.04 apply (zenon_L17_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1206_ *)
% 21.88/22.04 assert (zenon_L1207_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H5a zenon_H5c zenon_H186.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.88/22.04 apply (zenon_L138_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1207_ *)
% 21.88/22.04 assert (zenon_L1208_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H63 zenon_H93 zenon_H94.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 21.88/22.04 apply (zenon_L38_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1208_ *)
% 21.88/22.04 assert (zenon_L1209_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H87 zenon_H93 zenon_H189.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 21.88/22.04 apply (zenon_L439_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1209_ *)
% 21.88/22.04 assert (zenon_L1210_ : ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 21.88/22.04 do 0 intro. intros zenon_Hcc zenon_H1fb zenon_H26d zenon_H38 zenon_H5d zenon_H186 zenon_H5c zenon_H94 zenon_H189 zenon_H93 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc3.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.88/22.04 apply (zenon_L2_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.88/22.04 apply (zenon_L1146_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.88/22.04 apply (zenon_L1147_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.88/22.04 apply (zenon_L1180_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.88/22.04 apply (zenon_L1206_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.88/22.04 apply (zenon_L11_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.88/22.04 apply (zenon_L1207_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.88/22.04 apply (zenon_L1191_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.88/22.04 apply (zenon_L1208_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.88/22.04 apply (zenon_L1209_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.88/22.04 apply (zenon_L37_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.88/22.04 apply (zenon_L1201_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.88/22.04 apply (zenon_L1202_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.88/22.04 apply (zenon_L1203_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.88/22.04 apply (zenon_L190_); trivial.
% 21.88/22.04 apply (zenon_L1204_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1210_ *)
% 21.88/22.04 assert (zenon_L1211_ : (((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) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H25b zenon_H38 zenon_Hf5 zenon_H128 zenon_H195 zenon_H93 zenon_Hc3 zenon_H20f.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H136 | zenon_intro zenon_H25c ].
% 21.88/22.04 apply (zenon_L663_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H5c | zenon_intro zenon_H25d ].
% 21.88/22.04 apply (zenon_L149_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Ha5 ].
% 21.88/22.04 apply (zenon_L228_); trivial.
% 21.88/22.04 apply (zenon_L1181_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1211_ *)
% 21.88/22.04 assert (zenon_L1212_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H18d zenon_H48 zenon_H129 zenon_H1b4 zenon_H189 zenon_H94 zenon_H186 zenon_H5d zenon_H26d zenon_H1fb zenon_Hcc zenon_H20f zenon_H93 zenon_H195 zenon_Hf5 zenon_H38 zenon_H25b zenon_Hb6 zenon_Hc3.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.88/22.04 apply (zenon_L246_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.88/22.04 apply (zenon_L1210_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.88/22.04 apply (zenon_L1211_); trivial.
% 21.88/22.04 apply (zenon_L81_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1212_ *)
% 21.88/22.04 assert (zenon_L1213_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H281 zenon_H94 zenon_H5d zenon_H38 zenon_H1fb zenon_H26d zenon_Hc3 zenon_H13a zenon_H1b4 zenon_H159 zenon_H73 zenon_H20f zenon_H13c zenon_Hb6 zenon_H18d zenon_H196 zenon_H195 zenon_H189 zenon_H129 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H16a zenon_H190 zenon_H13e zenon_Ha9 zenon_H6f zenon_H117 zenon_H68 zenon_H1c3 zenon_Hcc.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H191 | zenon_intro zenon_H93 ].
% 21.88/22.04 apply (zenon_L1205_); trivial.
% 21.88/22.04 apply (zenon_L1212_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1213_ *)
% 21.88/22.04 assert (zenon_L1214_ : (((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 (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H27e zenon_H38 zenon_H196 zenon_H5c zenon_H195 zenon_H94 zenon_H65 zenon_Hc3 zenon_H129.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H115 | zenon_intro zenon_H27f ].
% 21.88/22.04 apply (zenon_L1162_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H128 | zenon_intro zenon_H280 ].
% 21.88/22.04 apply (zenon_L149_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H93 | zenon_intro zenon_Hb9 ].
% 21.88/22.04 apply (zenon_L38_); trivial.
% 21.88/22.04 apply (zenon_L189_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1214_ *)
% 21.88/22.04 assert (zenon_L1215_ : ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 21.88/22.04 do 0 intro. intros zenon_Hcc zenon_H1fb zenon_H26d zenon_H5d zenon_H186 zenon_H94 zenon_H189 zenon_H195 zenon_H5c zenon_H196 zenon_H38 zenon_H27e zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc3.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.88/22.04 apply (zenon_L2_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.88/22.04 apply (zenon_L1146_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.88/22.04 apply (zenon_L1147_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.88/22.04 apply (zenon_L1180_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.88/22.04 apply (zenon_L1206_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.88/22.04 apply (zenon_L11_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.88/22.04 apply (zenon_L1207_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.88/22.04 apply (zenon_L1191_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 21.88/22.04 apply (zenon_L1214_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 21.88/22.04 apply (zenon_L1187_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.88/22.04 apply (zenon_L37_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.88/22.04 apply (zenon_L1201_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.88/22.04 apply (zenon_L1202_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.88/22.04 apply (zenon_L1203_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.88/22.04 apply (zenon_L190_); trivial.
% 21.88/22.04 apply (zenon_L1204_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1215_ *)
% 21.88/22.04 assert (zenon_L1216_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H282 zenon_Hcc zenon_H1c3 zenon_H68 zenon_H117 zenon_H6f zenon_Ha9 zenon_H13e zenon_H190 zenon_H16a zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H129 zenon_H189 zenon_H195 zenon_H196 zenon_H18d zenon_Hb6 zenon_H13c zenon_H20f zenon_H73 zenon_H1b4 zenon_H13a zenon_Hc3 zenon_H26d zenon_H1fb zenon_H38 zenon_H5d zenon_H94 zenon_H281.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H159 | zenon_intro zenon_H5c ].
% 21.88/22.04 apply (zenon_L1213_); trivial.
% 21.88/22.04 apply (zenon_L1215_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1216_ *)
% 21.88/22.04 assert (zenon_L1217_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H236 zenon_H1c6 zenon_H6d zenon_H1b7 zenon_H15d zenon_H77 zenon_H7a zenon_Heb zenon_H159 zenon_H156 zenon_H40 zenon_H173 zenon_H158 zenon_H1cb zenon_H191 zenon_H72 zenon_Ha0 zenon_H1a2 zenon_H282 zenon_Hcc zenon_H1c3 zenon_H68 zenon_H117 zenon_H6f zenon_Ha9 zenon_H13e zenon_H190 zenon_H16a zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H129 zenon_H189 zenon_H195 zenon_H196 zenon_H18d zenon_Hb6 zenon_H13c zenon_H20f zenon_H73 zenon_H1b4 zenon_H13a zenon_Hc3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 21.88/22.04 apply (zenon_L1198_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 21.88/22.04 apply (zenon_L273_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 21.88/22.04 apply (zenon_L1199_); trivial.
% 21.88/22.04 apply (zenon_L1216_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1217_ *)
% 21.88/22.04 assert (zenon_L1218_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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) (e2)))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H92 zenon_Ha4 zenon_H13e zenon_H8b zenon_H55 zenon_H190 zenon_H1ba zenon_H6f zenon_H266 zenon_H2d zenon_H1ef zenon_Ha0 zenon_H31 zenon_H1b4 zenon_Hc3 zenon_H13a zenon_H93.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.88/22.04 exact (zenon_H16b zenon_H93).
% 21.88/22.04 apply (zenon_L1179_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1218_ *)
% 21.88/22.04 assert (zenon_L1219_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H92 zenon_H139 zenon_H7b zenon_H77 zenon_H8b zenon_H196 zenon_H16a zenon_H4d zenon_H1cb zenon_H1a2 zenon_Ha9 zenon_H159 zenon_Hb6 zenon_H53 zenon_H1b7 zenon_Hc3 zenon_H1c6 zenon_H68 zenon_Ha0 zenon_H25b zenon_H20f zenon_H186 zenon_Hf5 zenon_H5a zenon_H48 zenon_H27e zenon_H129 zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H93.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.88/22.04 exact (zenon_H16b zenon_H93).
% 21.88/22.04 apply (zenon_L1190_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1219_ *)
% 21.88/22.04 assert (zenon_L1220_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H92 zenon_H13d zenon_H190 zenon_H53 zenon_H8b zenon_H13e zenon_H93.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 21.88/22.04 exact (zenon_H16b zenon_H93).
% 21.88/22.04 apply (zenon_L144_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1220_ *)
% 21.88/22.04 assert (zenon_L1221_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_H89 zenon_H93 zenon_H13e zenon_H53 zenon_H190 zenon_H13d zenon_H92.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.88/22.04 apply (zenon_L1220_); trivial.
% 21.88/22.04 apply (zenon_L1220_); trivial.
% 21.88/22.04 (* end of lemma zenon_L1221_ *)
% 21.88/22.04 assert (zenon_L1222_ : (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 21.88/22.04 do 0 intro. intros zenon_Ha4 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H159 zenon_H158 zenon_Ha9 zenon_H1b4 zenon_Hc3 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H20f zenon_H139 zenon_H77 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H129 zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H191 | zenon_intro zenon_H93 ].
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.88/22.04 apply (zenon_L2_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.88/22.04 apply (zenon_L1178_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.88/22.04 apply (zenon_L1179_); trivial.
% 21.88/22.04 apply (zenon_L1179_); trivial.
% 21.88/22.04 apply (zenon_L645_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.88/22.04 apply (zenon_L1180_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.88/22.04 apply (zenon_L1184_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.88/22.04 apply (zenon_L11_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.88/22.04 apply (zenon_L1190_); trivial.
% 21.88/22.04 apply (zenon_L1190_); trivial.
% 21.88/22.04 apply (zenon_L176_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.88/22.04 apply (zenon_L1191_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.88/22.04 apply (zenon_L1194_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 21.88/22.04 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 21.88/22.04 apply (zenon_L1217_); trivial.
% 21.88/22.04 apply (zenon_L1217_); trivial.
% 21.88/22.04 apply (zenon_L102_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.88/22.04 apply (zenon_L37_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.88/22.04 apply (zenon_L1201_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.88/22.04 apply (zenon_L1202_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.88/22.04 apply (zenon_L1203_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.88/22.04 apply (zenon_L190_); trivial.
% 21.88/22.04 apply (zenon_L1204_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.88/22.04 apply (zenon_L2_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.88/22.04 apply (zenon_L1178_); trivial.
% 21.88/22.04 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.88/22.04 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.88/22.05 apply (zenon_L1218_); trivial.
% 21.88/22.05 apply (zenon_L1218_); trivial.
% 21.88/22.05 apply (zenon_L796_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.88/22.05 apply (zenon_L1180_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.88/22.05 apply (zenon_L1184_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.88/22.05 apply (zenon_L11_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.88/22.05 apply (zenon_L1219_); trivial.
% 21.88/22.05 apply (zenon_L1219_); trivial.
% 21.88/22.05 apply (zenon_L1221_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.88/22.05 apply (zenon_L1191_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.88/22.05 apply (zenon_L1208_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.88/22.05 apply (zenon_L1209_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.88/22.05 apply (zenon_L37_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.88/22.05 apply (zenon_L1201_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.88/22.05 apply (zenon_L1202_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.88/22.05 apply (zenon_L1203_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.88/22.05 apply (zenon_L190_); trivial.
% 21.88/22.05 apply (zenon_L1204_); trivial.
% 21.88/22.05 (* end of lemma zenon_L1222_ *)
% 21.88/22.05 assert (zenon_L1223_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.88/22.05 do 0 intro. intros zenon_H15c zenon_Ha4 zenon_Ha0 zenon_H2a zenon_H1cf zenon_H163 zenon_H4e zenon_H25 zenon_H1d4 zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H40 zenon_H156 zenon_H158 zenon_Ha9 zenon_H1b4 zenon_Hc3 zenon_H13a zenon_H5c.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.88/22.05 exact (zenon_Hec zenon_H5c).
% 21.88/22.05 apply (zenon_L1176_); trivial.
% 21.88/22.05 (* end of lemma zenon_L1223_ *)
% 21.88/22.05 assert (zenon_L1224_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.88/22.05 do 0 intro. intros zenon_H15c zenon_H173 zenon_H2a zenon_H40 zenon_H1b3 zenon_H158 zenon_H5c.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.88/22.05 exact (zenon_Hec zenon_H5c).
% 21.88/22.05 apply (zenon_L304_); trivial.
% 21.88/22.05 (* end of lemma zenon_L1224_ *)
% 21.88/22.05 assert (zenon_L1225_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 21.88/22.05 do 0 intro. intros zenon_H169 zenon_H5c zenon_H13a zenon_Hc3 zenon_H1b4 zenon_Ha9 zenon_H158 zenon_H156 zenon_H40 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H25 zenon_H4e zenon_H163 zenon_H1cf zenon_H2a zenon_Ha0 zenon_Ha4 zenon_H15c.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 21.88/22.05 apply (zenon_L1223_); trivial.
% 21.88/22.05 apply (zenon_L1224_); trivial.
% 21.88/22.05 (* end of lemma zenon_L1225_ *)
% 21.88/22.05 assert (zenon_L1226_ : (((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 (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.05 do 0 intro. intros zenon_H25e zenon_H115 zenon_Hf5 zenon_H5c zenon_H196 zenon_H93 zenon_Hc3 zenon_H1b4.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H38 | zenon_intro zenon_H25f ].
% 21.88/22.05 apply (zenon_L1162_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H155 | zenon_intro zenon_H260 ].
% 21.88/22.05 apply (zenon_L192_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H9e ].
% 21.88/22.05 apply (zenon_L167_); trivial.
% 21.88/22.05 apply (zenon_L602_); trivial.
% 21.88/22.05 (* end of lemma zenon_L1226_ *)
% 21.88/22.05 assert (zenon_L1227_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (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 (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (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))))) -> (~((e0) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 21.88/22.05 do 0 intro. intros zenon_H19a zenon_Hcc zenon_H1c3 zenon_H68 zenon_H117 zenon_H6f zenon_Ha9 zenon_H13e zenon_H190 zenon_H16a zenon_H25b zenon_H186 zenon_H27e zenon_H129 zenon_H189 zenon_H195 zenon_H18d zenon_Hb6 zenon_H13c zenon_H20f zenon_H73 zenon_H159 zenon_H13a zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H48 zenon_H1b4 zenon_H93 zenon_H196 zenon_H5c zenon_Hf5 zenon_H25e zenon_Ha0 zenon_Hc3.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.88/22.05 apply (zenon_L1213_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.88/22.05 apply (zenon_L157_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.88/22.05 apply (zenon_L1226_); trivial.
% 21.88/22.05 apply (zenon_L505_); trivial.
% 21.88/22.05 (* end of lemma zenon_L1227_ *)
% 21.88/22.05 assert (zenon_L1228_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (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))))) -> (~((e0) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 21.88/22.05 do 0 intro. intros zenon_H2f zenon_H19a zenon_H26d zenon_H48 zenon_H1b4 zenon_H93 zenon_H196 zenon_H5c zenon_Hf5 zenon_H25e zenon_Ha0 zenon_Hc3.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.88/22.05 apply (zenon_L756_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.88/22.05 apply (zenon_L157_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.88/22.05 apply (zenon_L1226_); trivial.
% 21.88/22.05 apply (zenon_L505_); trivial.
% 21.88/22.05 (* end of lemma zenon_L1228_ *)
% 21.88/22.05 assert (zenon_L1229_ : ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((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)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((e0) = (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 (e2) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 21.88/22.05 do 0 intro. intros zenon_Hcc zenon_H1c3 zenon_H68 zenon_H117 zenon_H6f zenon_Ha9 zenon_H13e zenon_H190 zenon_H16a zenon_H25b zenon_H27e zenon_H195 zenon_H18d zenon_Hb6 zenon_H13c zenon_H73 zenon_H13a zenon_H1fb zenon_H281 zenon_Ha0 zenon_H25e zenon_Hf5 zenon_H196 zenon_H48 zenon_H26d zenon_H19a zenon_H5d zenon_H186 zenon_H5c zenon_H94 zenon_H189 zenon_H93 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc3.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.88/22.05 apply (zenon_L2_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.88/22.05 exact (zenon_Hec zenon_H5c).
% 21.88/22.05 apply (zenon_L1227_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.88/22.05 apply (zenon_L1228_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.88/22.05 apply (zenon_L1180_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.88/22.05 apply (zenon_L1206_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.88/22.05 apply (zenon_L11_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.88/22.05 apply (zenon_L1207_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.88/22.05 apply (zenon_L1191_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.88/22.05 apply (zenon_L1208_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.88/22.05 apply (zenon_L1209_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.88/22.05 apply (zenon_L37_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.88/22.05 apply (zenon_L1201_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.88/22.05 apply (zenon_L1202_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.88/22.05 apply (zenon_L1203_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.88/22.05 apply (zenon_L190_); trivial.
% 21.88/22.05 apply (zenon_L1204_); trivial.
% 21.88/22.05 (* end of lemma zenon_L1229_ *)
% 21.88/22.05 assert (zenon_L1230_ : (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 21.88/22.05 do 0 intro. intros zenon_Ha4 zenon_H129 zenon_H20f zenon_H189 zenon_H94 zenon_H5c zenon_H186 zenon_H5d zenon_H19a zenon_H26d zenon_H48 zenon_H196 zenon_Hf5 zenon_H25e zenon_H281 zenon_H1fb zenon_H13a zenon_H73 zenon_H13c zenon_Hb6 zenon_H18d zenon_H195 zenon_H27e zenon_H25b zenon_H16a zenon_H190 zenon_H13e zenon_Ha9 zenon_H6f zenon_H117 zenon_H68 zenon_H1c3 zenon_Hcc zenon_H8b zenon_H1ba zenon_H191 zenon_Ha0 zenon_H31 zenon_Hc3 zenon_H1b4.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.05 exact (zenon_Ha4 zenon_H9f).
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.88/22.05 apply (zenon_L1192_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.88/22.05 exact (zenon_H1ba zenon_H6d).
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.88/22.05 exact (zenon_H8b zenon_H8a).
% 21.88/22.05 apply (zenon_L1229_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.05 apply (zenon_L68_); trivial.
% 21.88/22.05 apply (zenon_L602_); trivial.
% 21.88/22.05 (* end of lemma zenon_L1230_ *)
% 21.88/22.05 assert (zenon_L1231_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> False).
% 21.88/22.05 do 0 intro. intros zenon_H89 zenon_Ha4 zenon_H5c zenon_H19a zenon_Ha0 zenon_H25e zenon_Hcc zenon_H1c3 zenon_H68 zenon_H13e zenon_H190 zenon_H16a zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H189 zenon_H195 zenon_H196 zenon_H18d zenon_Hb6 zenon_H13c zenon_H20f zenon_H73 zenon_H1b4 zenon_H13a zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H1ba zenon_Ha9 zenon_H6f zenon_H191 zenon_H129 zenon_Hc3 zenon_H117 zenon_H31.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.88/22.05 apply (zenon_L1230_); trivial.
% 21.88/22.05 apply (zenon_L1230_); trivial.
% 21.88/22.05 (* end of lemma zenon_L1231_ *)
% 21.88/22.05 assert (zenon_L1232_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (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 (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.88/22.05 do 0 intro. intros zenon_H15c zenon_H15d zenon_Hf5 zenon_H72 zenon_H191 zenon_H1cb zenon_H1a2 zenon_Hb6 zenon_Ha9 zenon_H6d zenon_H1b7 zenon_Hc3 zenon_H1c6 zenon_H48 zenon_H158 zenon_H156 zenon_H40 zenon_H173 zenon_Ha0 zenon_Hcc zenon_H1c3 zenon_H68 zenon_H117 zenon_H6f zenon_H13e zenon_H190 zenon_H16a zenon_H25b zenon_H186 zenon_H27e zenon_H129 zenon_H189 zenon_H195 zenon_H196 zenon_H18d zenon_H13c zenon_H20f zenon_H73 zenon_H1b4 zenon_H13a zenon_H26d zenon_H1fb zenon_H236 zenon_H5c.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.88/22.05 exact (zenon_Hec zenon_H5c).
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 21.88/22.05 apply (zenon_L1197_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 21.88/22.05 apply (zenon_L273_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 21.88/22.05 apply (zenon_L1199_); trivial.
% 21.88/22.05 apply (zenon_L1205_); trivial.
% 21.88/22.05 (* end of lemma zenon_L1232_ *)
% 21.88/22.05 assert (zenon_L1233_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (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 (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 21.88/22.05 do 0 intro. intros zenon_H1ec zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H19a zenon_H25e zenon_H94 zenon_H281 zenon_H1ef zenon_H5d zenon_Ha4 zenon_H15d zenon_Hf5 zenon_H191 zenon_H1cb zenon_H1a2 zenon_Hb6 zenon_Ha9 zenon_H1b7 zenon_H1c6 zenon_H48 zenon_H158 zenon_H156 zenon_H173 zenon_Ha0 zenon_Hcc zenon_H1c3 zenon_H68 zenon_H117 zenon_H6f zenon_H13e zenon_H190 zenon_H16a zenon_H25b zenon_H186 zenon_H27e zenon_H189 zenon_H195 zenon_H196 zenon_H18d zenon_H13c zenon_H73 zenon_H13a zenon_H26d zenon_H1fb zenon_H236 zenon_H5c zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc3.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.88/22.05 apply (zenon_L2_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 21.88/22.05 apply (zenon_L1225_); trivial.
% 21.88/22.05 apply (zenon_L1225_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 21.88/22.05 apply (zenon_L1231_); trivial.
% 21.88/22.05 apply (zenon_L645_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.88/22.05 apply (zenon_L1180_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.88/22.05 apply (zenon_L1206_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.88/22.05 apply (zenon_L11_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.88/22.05 apply (zenon_L1207_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.88/22.05 apply (zenon_L1191_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.88/22.05 apply (zenon_L1194_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.88/22.05 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 21.88/22.05 apply (zenon_L1232_); trivial.
% 21.88/22.05 apply (zenon_L1232_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.88/22.05 apply (zenon_L37_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.88/22.05 apply (zenon_L1201_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.88/22.05 apply (zenon_L1202_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.88/22.05 apply (zenon_L1203_); trivial.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.88/22.05 apply (zenon_L190_); trivial.
% 21.88/22.05 apply (zenon_L1204_); trivial.
% 21.88/22.05 (* end of lemma zenon_L1233_ *)
% 21.88/22.05 assert (zenon_L1234_ : ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 21.88/22.05 do 0 intro. intros zenon_H5c zenon_H13a zenon_Hc3 zenon_H1b4 zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_Ha4 zenon_H19a zenon_H25e zenon_Hcc zenon_H1c3 zenon_H68 zenon_H13e zenon_H190 zenon_H16a zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H189 zenon_H195 zenon_H196 zenon_H18d zenon_Hb6 zenon_H13c zenon_H20f zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H6f zenon_H129 zenon_H117 zenon_H1ef zenon_H15d zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H236.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H191 | zenon_intro zenon_H93 ].
% 21.88/22.05 apply (zenon_L1233_); trivial.
% 21.88/22.05 apply (zenon_L1229_); trivial.
% 21.88/22.05 (* end of lemma zenon_L1234_ *)
% 21.88/22.05 assert (zenon_L1235_ : ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> False).
% 21.88/22.05 do 0 intro. intros zenon_H283 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H1b4 zenon_Hc3 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H20f zenon_H139 zenon_H77 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H129 zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e.
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H38 ].
% 21.88/22.05 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H159 | zenon_intro zenon_H5c ].
% 21.88/22.06 apply (zenon_L1222_); trivial.
% 21.88/22.06 apply (zenon_L1234_); trivial.
% 21.88/22.06 apply (zenon_L1216_); trivial.
% 21.88/22.06 (* end of lemma zenon_L1235_ *)
% 21.88/22.06 assert (zenon_L1236_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((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))))) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H38 zenon_H20f zenon_H5c zenon_H129 zenon_H93 zenon_H1bb.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 21.88/22.06 apply (zenon_L413_); trivial.
% 21.88/22.06 apply (zenon_L1235_); trivial.
% 21.88/22.06 (* end of lemma zenon_L1236_ *)
% 21.88/22.06 assert (zenon_L1237_ : (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (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))))) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H100 zenon_H141 zenon_H54 zenon_Hc4 zenon_H1d5 zenon_H67 zenon_H201 zenon_He7 zenon_H192 zenon_H3d zenon_H34 zenon_H12e zenon_H9f zenon_H24 zenon_H1a3 zenon_H159 zenon_H1c2 zenon_H24e zenon_H7d zenon_H1cd zenon_H1c7 zenon_H1a8 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H38 zenon_H20f zenon_H129 zenon_H93 zenon_H1bb.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.88/22.06 apply (zenon_L69_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.88/22.06 apply (zenon_L214_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.88/22.06 apply (zenon_L186_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.88/22.06 apply (zenon_L439_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.88/22.06 apply (zenon_L55_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.88/22.06 exact (zenon_H159 zenon_H10c).
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.88/22.06 apply (zenon_L217_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.88/22.06 apply (zenon_L152_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.88/22.06 apply (zenon_L1172_); trivial.
% 21.88/22.06 apply (zenon_L1162_); trivial.
% 21.88/22.06 exact (zenon_H1c7 zenon_Hac).
% 21.88/22.06 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.88/22.06 apply (zenon_L214_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.88/22.06 apply (zenon_L1175_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.88/22.06 apply (zenon_L439_); trivial.
% 21.88/22.06 apply (zenon_L965_); trivial.
% 21.88/22.06 apply (zenon_L1236_); trivial.
% 21.88/22.06 (* end of lemma zenon_L1237_ *)
% 21.88/22.06 assert (zenon_L1238_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H1cf zenon_Hb6 zenon_Ha0 zenon_H14c zenon_Ha9 zenon_H1a2 zenon_H48 zenon_H77 zenon_H201 zenon_Hf3 zenon_H68 zenon_H93 zenon_H1c2 zenon_H171 zenon_H1cd.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.88/22.06 apply (zenon_L365_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.88/22.06 apply (zenon_L62_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.88/22.06 apply (zenon_L207_); trivial.
% 21.88/22.06 apply (zenon_L240_); trivial.
% 21.88/22.06 (* end of lemma zenon_L1238_ *)
% 21.88/22.06 assert (zenon_L1239_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((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)) = (e0)) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H141 zenon_H54 zenon_He7 zenon_Hf0 zenon_H1cd zenon_H171 zenon_H1c2 zenon_H93 zenon_H68 zenon_Hf3 zenon_H201 zenon_H77 zenon_H48 zenon_H1a2 zenon_Ha9 zenon_Ha0 zenon_Hb6 zenon_H1cf zenon_H196 zenon_H38.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.88/22.06 apply (zenon_L217_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.88/22.06 apply (zenon_L929_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.88/22.06 apply (zenon_L1238_); trivial.
% 21.88/22.06 apply (zenon_L1162_); trivial.
% 21.88/22.06 (* end of lemma zenon_L1239_ *)
% 21.88/22.06 assert (zenon_L1240_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((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)) = (e0)) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H1a8 zenon_H3d zenon_H3f zenon_H189 zenon_H141 zenon_H54 zenon_He7 zenon_Hf0 zenon_H1cd zenon_H1c2 zenon_H93 zenon_H68 zenon_Hf3 zenon_H201 zenon_H77 zenon_H48 zenon_H1a2 zenon_Ha9 zenon_Ha0 zenon_Hb6 zenon_H1cf zenon_H196 zenon_H38.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.88/22.06 apply (zenon_L214_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.88/22.06 apply (zenon_L186_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.88/22.06 apply (zenon_L439_); trivial.
% 21.88/22.06 apply (zenon_L1239_); trivial.
% 21.88/22.06 (* end of lemma zenon_L1240_ *)
% 21.88/22.06 assert (zenon_L1241_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((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))))) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H36 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H20f zenon_H5c zenon_H129 zenon_H93 zenon_H1bb.
% 21.88/22.06 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 21.88/22.06 apply (zenon_L1236_); trivial.
% 21.88/22.06 (* end of lemma zenon_L1241_ *)
% 21.88/22.06 assert (zenon_L1242_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H1c6 zenon_Hb6 zenon_H3d zenon_H159 zenon_Ha0 zenon_Hdd zenon_H1c7.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.88/22.06 apply (zenon_L55_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.88/22.06 exact (zenon_H159 zenon_H10c).
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.88/22.06 apply (zenon_L152_); trivial.
% 21.88/22.06 exact (zenon_H1c7 zenon_Hac).
% 21.88/22.06 (* end of lemma zenon_L1242_ *)
% 21.88/22.06 assert (zenon_L1243_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 21.88/22.06 do 0 intro. intros zenon_He2 zenon_H1bb zenon_H93 zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H77 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H36 zenon_Hf3 zenon_H1a8 zenon_H141 zenon_H54 zenon_Hf0 zenon_H1cd zenon_H1c2 zenon_H201 zenon_H38 zenon_H100 zenon_H1c7 zenon_Ha0 zenon_H159 zenon_H3d zenon_Hb6 zenon_H1c6 zenon_H7d zenon_H34.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.88/22.06 apply (zenon_L317_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.88/22.06 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.88/22.06 apply (zenon_L69_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.88/22.06 apply (zenon_L1240_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.88/22.06 apply (zenon_L117_); trivial.
% 21.88/22.06 apply (zenon_L1241_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.88/22.06 apply (zenon_L1242_); trivial.
% 21.88/22.06 apply (zenon_L802_); trivial.
% 21.88/22.06 (* end of lemma zenon_L1243_ *)
% 21.88/22.06 assert (zenon_L1244_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H141 zenon_H48 zenon_H54 zenon_He7 zenon_Hf0 zenon_Hef zenon_H133 zenon_H196 zenon_H38.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.88/22.06 apply (zenon_L217_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.88/22.06 apply (zenon_L929_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.88/22.06 apply (zenon_L265_); trivial.
% 21.88/22.06 apply (zenon_L1162_); trivial.
% 21.88/22.06 (* end of lemma zenon_L1244_ *)
% 21.88/22.06 assert (zenon_L1245_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H38 zenon_H196 zenon_Hef zenon_Hf0 zenon_He7 zenon_H54 zenon_H48 zenon_H141 zenon_H1c6 zenon_Hb6 zenon_H3d zenon_H159 zenon_H1a3 zenon_H190 zenon_H186 zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H1c7.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.88/22.06 apply (zenon_L900_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.88/22.06 exact (zenon_H159 zenon_H10c).
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.88/22.06 apply (zenon_L1244_); trivial.
% 21.88/22.06 apply (zenon_L1174_); trivial.
% 21.88/22.06 (* end of lemma zenon_L1245_ *)
% 21.88/22.06 assert (zenon_L1246_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H1c6 zenon_Hb6 zenon_H159 zenon_H93 zenon_H68 zenon_H201 zenon_H66 zenon_H171 zenon_He7 zenon_H163 zenon_H192 zenon_H3d zenon_H34 zenon_H12e zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb zenon_Ha0 zenon_H54 zenon_H141 zenon_H1c7.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.88/22.06 apply (zenon_L55_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.88/22.06 exact (zenon_H159 zenon_H10c).
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.88/22.06 apply (zenon_L217_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.88/22.06 apply (zenon_L152_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.88/22.06 apply (zenon_L94_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.88/22.06 apply (zenon_L965_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.88/22.06 apply (zenon_L255_); trivial.
% 21.88/22.06 apply (zenon_L1159_); trivial.
% 21.88/22.06 apply (zenon_L158_); trivial.
% 21.88/22.06 exact (zenon_H1c7 zenon_Hac).
% 21.88/22.06 (* end of lemma zenon_L1246_ *)
% 21.88/22.06 assert (zenon_L1247_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H125 zenon_H1d5 zenon_H66 zenon_H77 zenon_H3c zenon_H94 zenon_H93 zenon_H34 zenon_H68.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.88/22.06 apply (zenon_L252_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.88/22.06 apply (zenon_L24_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.88/22.06 apply (zenon_L38_); trivial.
% 21.88/22.06 apply (zenon_L291_); trivial.
% 21.88/22.06 (* end of lemma zenon_L1247_ *)
% 21.88/22.06 assert (zenon_L1248_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H13a zenon_Hc4 zenon_H1a3 zenon_H10c zenon_H11a zenon_H33 zenon_H121 zenon_Hb6 zenon_H3d zenon_Ha9 zenon_H66 zenon_H38 zenon_Ha0.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.06 apply (zenon_L538_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.06 apply (zenon_L55_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.06 apply (zenon_L193_); trivial.
% 21.88/22.06 apply (zenon_L156_); trivial.
% 21.88/22.06 (* end of lemma zenon_L1248_ *)
% 21.88/22.06 assert (zenon_L1249_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H13a zenon_Hb6 zenon_H47 zenon_H173 zenon_H10c zenon_Ha9 zenon_H66 zenon_H38 zenon_Ha0.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.06 apply (zenon_L253_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.06 apply (zenon_L120_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.06 apply (zenon_L193_); trivial.
% 21.88/22.06 apply (zenon_L156_); trivial.
% 21.88/22.06 (* end of lemma zenon_L1249_ *)
% 21.88/22.06 assert (zenon_L1250_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H139 zenon_H77 zenon_H121 zenon_H209 zenon_H11a zenon_H177 zenon_Hc4 zenon_Ha0 zenon_Ha9 zenon_H10c zenon_H173 zenon_H47 zenon_Hb6 zenon_H13a zenon_H38 zenon_H68.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.88/22.06 apply (zenon_L251_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.06 apply (zenon_L253_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.06 apply (zenon_L110_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.06 apply (zenon_L393_); trivial.
% 21.88/22.06 apply (zenon_L156_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.88/22.06 apply (zenon_L1249_); trivial.
% 21.88/22.06 apply (zenon_L165_); trivial.
% 21.88/22.06 (* end of lemma zenon_L1250_ *)
% 21.88/22.06 assert (zenon_L1251_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H13a zenon_H1a3 zenon_H33 zenon_Hb6 zenon_H3d zenon_Hc4 zenon_H177 zenon_H10c zenon_H11a zenon_H209 zenon_H121 zenon_H38 zenon_Ha0.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.06 apply (zenon_L538_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.06 apply (zenon_L55_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.06 apply (zenon_L393_); trivial.
% 21.88/22.06 apply (zenon_L156_); trivial.
% 21.88/22.06 (* end of lemma zenon_L1251_ *)
% 21.88/22.06 assert (zenon_L1252_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H13a zenon_Hc4 zenon_H1a3 zenon_H11a zenon_H33 zenon_H121 zenon_H173 zenon_H10c zenon_Hb6 zenon_H153 zenon_H38 zenon_Ha0.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.06 apply (zenon_L538_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.06 apply (zenon_L120_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.06 apply (zenon_L95_); trivial.
% 21.88/22.06 apply (zenon_L156_); trivial.
% 21.88/22.06 (* end of lemma zenon_L1252_ *)
% 21.88/22.06 assert (zenon_L1253_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.88/22.06 do 0 intro. intros zenon_H15d zenon_H68 zenon_Ha9 zenon_H77 zenon_H139 zenon_H209 zenon_H177 zenon_Ha0 zenon_Hb6 zenon_H10c zenon_H173 zenon_H121 zenon_H33 zenon_H11a zenon_H1a3 zenon_Hc4 zenon_H13a zenon_H38 zenon_H48.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.88/22.06 apply (zenon_L1250_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.88/22.06 apply (zenon_L1251_); trivial.
% 21.88/22.06 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.88/22.06 apply (zenon_L1252_); trivial.
% 21.88/22.06 apply (zenon_L246_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1253_ *)
% 21.88/22.07 assert (zenon_L1254_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H13a zenon_H47 zenon_Ha9 zenon_H6e zenon_Hb6 zenon_H153 zenon_H38 zenon_Ha0.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.07 apply (zenon_L253_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.07 apply (zenon_L110_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.07 apply (zenon_L95_); trivial.
% 21.88/22.07 apply (zenon_L156_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1254_ *)
% 21.88/22.07 assert (zenon_L1255_ : (~((op (e3) (e3)) = (e0))) -> ((op (e2) (e3)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H162 zenon_Hb9 zenon_H1bb zenon_H129 zenon_H5c zenon_H20f zenon_H38 zenon_H1b4 zenon_H283 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H77 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H102 zenon_H18a.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.88/22.07 apply (zenon_L166_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.88/22.07 apply (zenon_L206_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.88/22.07 apply (zenon_L1236_); trivial.
% 21.88/22.07 apply (zenon_L268_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1255_ *)
% 21.88/22.07 assert (zenon_L1256_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H24e zenon_H34 zenon_H7d zenon_H106 zenon_H1cd zenon_H1b7 zenon_H17c zenon_H10c zenon_H11a.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_He0 | zenon_intro zenon_H24f ].
% 21.88/22.07 apply (zenon_L802_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H7f | zenon_intro zenon_H250 ].
% 21.88/22.07 apply (zenon_L331_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H171 | zenon_intro zenon_Hac ].
% 21.88/22.07 apply (zenon_L188_); trivial.
% 21.88/22.07 apply (zenon_L79_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1256_ *)
% 21.88/22.07 assert (zenon_L1257_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e3) (e3)) = (e0))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H183 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1a2 zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H38 zenon_H20f zenon_H5c zenon_H129 zenon_Hb9 zenon_H162 zenon_H6e zenon_H192 zenon_H1c7 zenon_H1bb zenon_H18a zenon_H1cb zenon_Hc4 zenon_H1f1 zenon_H53 zenon_H48 zenon_H12e zenon_H24e zenon_H34 zenon_H7d zenon_H106 zenon_H1cd zenon_H1b7 zenon_H10c zenon_H11a.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.88/22.07 apply (zenon_L1255_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.88/22.07 apply (zenon_L1128_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.88/22.07 apply (zenon_L849_); trivial.
% 21.88/22.07 apply (zenon_L1256_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1257_ *)
% 21.88/22.07 assert (zenon_L1258_ : ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H65 zenon_H191 zenon_H183 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1a2 zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H38 zenon_H20f zenon_H5c zenon_H129 zenon_H162 zenon_H6e zenon_H192 zenon_H1c7 zenon_H1bb zenon_H18a zenon_H1cb zenon_Hc4 zenon_H1f1 zenon_H53 zenon_H48 zenon_H12e zenon_H24e zenon_H34 zenon_H7d zenon_H106 zenon_H1cd zenon_H1b7 zenon_H10c zenon_H11a.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.88/22.07 apply (zenon_L43_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.88/22.07 apply (zenon_L113_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.88/22.07 exact (zenon_H191 zenon_H110).
% 21.88/22.07 apply (zenon_L1257_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1258_ *)
% 21.88/22.07 assert (zenon_L1259_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H1c3 zenon_H68 zenon_H38 zenon_H77 zenon_H5c zenon_H8a zenon_H1c2 zenon_H102 zenon_H18a.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.88/22.07 apply (zenon_L165_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.88/22.07 apply (zenon_L206_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.88/22.07 apply (zenon_L207_); trivial.
% 21.88/22.07 apply (zenon_L268_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1259_ *)
% 21.88/22.07 assert (zenon_L1260_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H1c3 zenon_H68 zenon_H77 zenon_Hc4 zenon_H129 zenon_H5c zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H160 zenon_H1cb.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.88/22.07 apply (zenon_L165_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.88/22.07 apply (zenon_L206_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.88/22.07 apply (zenon_L413_); trivial.
% 21.88/22.07 apply (zenon_L236_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1260_ *)
% 21.88/22.07 assert (zenon_L1261_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H183 zenon_H18a zenon_H1c2 zenon_H8a zenon_H6e zenon_H192 zenon_H1cb zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H5c zenon_H129 zenon_Hc4 zenon_H77 zenon_H68 zenon_H1c3 zenon_H24e zenon_H34 zenon_H7d zenon_H106 zenon_H1cd zenon_H1b7 zenon_H10c zenon_H11a.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.88/22.07 apply (zenon_L1259_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.88/22.07 apply (zenon_L1128_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.88/22.07 apply (zenon_L1260_); trivial.
% 21.88/22.07 apply (zenon_L1256_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1261_ *)
% 21.88/22.07 assert (zenon_L1262_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H201 zenon_H47 zenon_H14c zenon_H12e zenon_H1f1 zenon_H1c7 zenon_H162 zenon_H283 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H196 zenon_H16a zenon_H1a2 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H191 zenon_H53 zenon_H11a zenon_H10c zenon_H1b7 zenon_H1cd zenon_H7d zenon_H34 zenon_H24e zenon_H1c3 zenon_H68 zenon_H5c zenon_H192 zenon_H6e zenon_H1c2 zenon_H18a zenon_H183 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.88/22.07 apply (zenon_L1254_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.88/22.07 apply (zenon_L138_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.88/22.07 apply (zenon_L255_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.88/22.07 apply (zenon_L1258_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.88/22.07 apply (zenon_L56_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.88/22.07 apply (zenon_L1261_); trivial.
% 21.88/22.07 apply (zenon_L1159_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1262_ *)
% 21.88/22.07 assert (zenon_L1263_ : (((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 (e2) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H266 zenon_H2d zenon_H55 zenon_H105 zenon_H190 zenon_H8a zenon_Hf0 zenon_H10c.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_Hdd | zenon_intro zenon_H267 ].
% 21.88/22.07 apply (zenon_L702_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H53 | zenon_intro zenon_H268 ].
% 21.88/22.07 apply (zenon_L143_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H6d | zenon_intro zenon_H10d ].
% 21.88/22.07 apply (zenon_L366_); trivial.
% 21.88/22.07 apply (zenon_L74_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1263_ *)
% 21.88/22.07 assert (zenon_L1264_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (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 (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H13f zenon_H7f zenon_H1f1 zenon_H1bb zenon_H129 zenon_H20f zenon_H38 zenon_H1b4 zenon_H283 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H77 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H2d zenon_Hf0 zenon_H10c zenon_H6e zenon_H195 zenon_H5c.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.88/22.07 apply (zenon_L217_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.88/22.07 apply (zenon_L284_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.88/22.07 apply (zenon_L27_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.88/22.07 apply (zenon_L21_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.88/22.07 apply (zenon_L1263_); trivial.
% 21.88/22.07 apply (zenon_L1236_); trivial.
% 21.88/22.07 apply (zenon_L149_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1264_ *)
% 21.88/22.07 assert (zenon_L1265_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H1a2 zenon_Hb6 zenon_H153 zenon_Ha0 zenon_Hf3 zenon_H191 zenon_H1a3.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.88/22.07 apply (zenon_L95_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.88/22.07 apply (zenon_L162_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.88/22.07 exact (zenon_H191 zenon_H110).
% 21.88/22.07 exact (zenon_H1a3 zenon_Hbb).
% 21.88/22.07 (* end of lemma zenon_L1265_ *)
% 21.88/22.07 assert (zenon_L1266_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H1cf zenon_Ha0 zenon_Ha9 zenon_H10c zenon_H173 zenon_H47 zenon_Hb6 zenon_H13a zenon_H4e zenon_H76 zenon_H1ef zenon_H65 zenon_H1c3 zenon_H68 zenon_H77 zenon_Hc4 zenon_H129 zenon_H5c zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H1cb.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.88/22.07 apply (zenon_L1249_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.88/22.07 apply (zenon_L83_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.88/22.07 apply (zenon_L533_); trivial.
% 21.88/22.07 apply (zenon_L1260_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1266_ *)
% 21.88/22.07 assert (zenon_L1267_ : ((op (e2) (e0)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H2d zenon_H6e zenon_H72 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H38 zenon_H20f zenon_H5c zenon_H129 zenon_H1bb.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.88/22.07 apply (zenon_L27_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.88/22.07 apply (zenon_L21_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.88/22.07 apply (zenon_L87_); trivial.
% 21.88/22.07 apply (zenon_L1236_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1267_ *)
% 21.88/22.07 assert (zenon_L1268_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H13f zenon_H65 zenon_H77 zenon_H7f zenon_H1f1 zenon_H48 zenon_H14c zenon_H195 zenon_H5c.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.88/22.07 apply (zenon_L30_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.88/22.07 apply (zenon_L284_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.88/22.07 apply (zenon_L255_); trivial.
% 21.88/22.07 apply (zenon_L149_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1268_ *)
% 21.88/22.07 assert (zenon_L1269_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.88/22.07 do 0 intro. intros zenon_He4 zenon_H6e zenon_H234 zenon_Hdd zenon_H13f zenon_H65 zenon_H77 zenon_H1f1 zenon_H48 zenon_H14c zenon_H195 zenon_H5c.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.88/22.07 apply (zenon_L214_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.88/22.07 apply (zenon_L484_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.88/22.07 apply (zenon_L111_); trivial.
% 21.88/22.07 apply (zenon_L1268_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1269_ *)
% 21.88/22.07 assert (zenon_L1270_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H140 zenon_Ha0 zenon_Hfe zenon_H72 zenon_H68 zenon_H5c zenon_H195 zenon_H48 zenon_H1f1 zenon_H77 zenon_H65 zenon_H13f zenon_Hdd zenon_H234 zenon_H6e zenon_He4 zenon_Hbc zenon_H34.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.88/22.07 apply (zenon_L68_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.88/22.07 apply (zenon_L62_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.88/22.07 apply (zenon_L1269_); trivial.
% 21.88/22.07 apply (zenon_L328_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1270_ *)
% 21.88/22.07 assert (zenon_L1271_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_Hfa zenon_Hc4 zenon_H47 zenon_H10c zenon_H38 zenon_H196 zenon_H13f zenon_H65 zenon_H7f zenon_H1f1 zenon_H48 zenon_H195 zenon_H140 zenon_Ha0 zenon_Hfe zenon_H68 zenon_H234 zenon_H6e zenon_He4 zenon_Hbc zenon_H34 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H141 zenon_H5c zenon_H77.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.88/22.07 apply (zenon_L1266_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.88/22.07 apply (zenon_L226_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.88/22.07 apply (zenon_L1267_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.88/22.07 apply (zenon_L1270_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.88/22.07 apply (zenon_L1268_); trivial.
% 21.88/22.07 apply (zenon_L1162_); trivial.
% 21.88/22.07 apply (zenon_L206_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1271_ *)
% 21.88/22.07 assert (zenon_L1272_ : ((op (e3) (e2)) = (e0)) -> ((op (e3) (e3)) = (e2)) -> (~((e0) = (op (e3) (op (e3) (e3))))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H11d zenon_H17c zenon_H255.
% 21.88/22.07 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H244 | zenon_intro zenon_H245 ].
% 21.88/22.07 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e0) = (op (e3) (op (e3) (e3))))).
% 21.88/22.07 intro zenon_D_pnotp.
% 21.88/22.07 apply zenon_H255.
% 21.88/22.07 rewrite <- zenon_D_pnotp.
% 21.88/22.07 exact zenon_H244.
% 21.88/22.07 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H245].
% 21.88/22.07 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H256].
% 21.88/22.07 congruence.
% 21.88/22.07 cut (((op (e3) (e2)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))).
% 21.88/22.07 intro zenon_D_pnotp.
% 21.88/22.07 apply zenon_H256.
% 21.88/22.07 rewrite <- zenon_D_pnotp.
% 21.88/22.07 exact zenon_H11d.
% 21.88/22.07 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 21.88/22.07 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H27d].
% 21.88/22.07 congruence.
% 21.88/22.07 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H244 | zenon_intro zenon_H245 ].
% 21.88/22.07 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))).
% 21.88/22.07 intro zenon_D_pnotp.
% 21.88/22.07 apply zenon_H27d.
% 21.88/22.07 rewrite <- zenon_D_pnotp.
% 21.88/22.07 exact zenon_H244.
% 21.88/22.07 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H245].
% 21.88/22.07 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H279].
% 21.88/22.07 congruence.
% 21.88/22.07 apply (zenon_L1156_); trivial.
% 21.88/22.07 apply zenon_H245. apply refl_equal.
% 21.88/22.07 apply zenon_H245. apply refl_equal.
% 21.88/22.07 apply zenon_H46. apply refl_equal.
% 21.88/22.07 apply zenon_H245. apply refl_equal.
% 21.88/22.07 apply zenon_H245. apply refl_equal.
% 21.88/22.07 (* end of lemma zenon_L1272_ *)
% 21.88/22.07 assert (zenon_L1273_ : ((op (e2) (e2)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e3)) = (e2)) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H105 zenon_H11d zenon_H17c.
% 21.88/22.07 apply (zenon_notand_s _ _ ax15); [ zenon_intro zenon_H286 | zenon_intro zenon_H285 ].
% 21.88/22.07 elim (classic ((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ].
% 21.88/22.07 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3)))) = ((e1) = (op (op (e3) (e3)) (op (e3) (e3))))).
% 21.88/22.07 intro zenon_D_pnotp.
% 21.88/22.07 apply zenon_H286.
% 21.88/22.07 rewrite <- zenon_D_pnotp.
% 21.88/22.07 exact zenon_H24a.
% 21.88/22.07 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24b].
% 21.88/22.07 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H287].
% 21.88/22.07 congruence.
% 21.88/22.07 cut (((op (e2) (e2)) = (e1)) = ((op (op (e3) (e3)) (op (e3) (e3))) = (e1))).
% 21.88/22.07 intro zenon_D_pnotp.
% 21.88/22.07 apply zenon_H287.
% 21.88/22.07 rewrite <- zenon_D_pnotp.
% 21.88/22.07 exact zenon_H105.
% 21.88/22.07 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 21.88/22.07 cut (((op (e2) (e2)) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H27b].
% 21.88/22.07 congruence.
% 21.88/22.07 elim (classic ((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ].
% 21.88/22.07 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3)))) = ((op (e2) (e2)) = (op (op (e3) (e3)) (op (e3) (e3))))).
% 21.88/22.07 intro zenon_D_pnotp.
% 21.88/22.07 apply zenon_H27b.
% 21.88/22.07 rewrite <- zenon_D_pnotp.
% 21.88/22.07 exact zenon_H24a.
% 21.88/22.07 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24b].
% 21.88/22.07 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 21.88/22.07 congruence.
% 21.88/22.07 apply (zenon_L1155_); trivial.
% 21.88/22.07 apply zenon_H24b. apply refl_equal.
% 21.88/22.07 apply zenon_H24b. apply refl_equal.
% 21.88/22.07 apply zenon_H4a. apply refl_equal.
% 21.88/22.07 apply zenon_H24b. apply refl_equal.
% 21.88/22.07 apply zenon_H24b. apply refl_equal.
% 21.88/22.07 apply (zenon_notand_s _ _ zenon_H285); [ zenon_intro zenon_H27c | zenon_intro zenon_H255 ].
% 21.88/22.07 apply zenon_H27c. apply sym_equal. exact zenon_H17c.
% 21.88/22.07 apply (zenon_L1272_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1273_ *)
% 21.88/22.07 assert (zenon_L1274_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H231 zenon_H105 zenon_H7f zenon_H1cd zenon_H1cb zenon_H17c zenon_H1a3.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H11d | zenon_intro zenon_H232 ].
% 21.88/22.07 apply (zenon_L1273_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H106 | zenon_intro zenon_H233 ].
% 21.88/22.07 apply (zenon_L331_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H160 | zenon_intro zenon_Hbb ].
% 21.88/22.07 apply (zenon_L236_); trivial.
% 21.88/22.07 exact (zenon_H1a3 zenon_Hbb).
% 21.88/22.07 (* end of lemma zenon_L1274_ *)
% 21.88/22.07 assert (zenon_L1275_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H183 zenon_H18a zenon_H1c2 zenon_H5c zenon_H77 zenon_H38 zenon_H68 zenon_H1c3 zenon_H6e zenon_H192 zenon_H8a zenon_H104 zenon_H231 zenon_H105 zenon_H7f zenon_H1cd zenon_H1cb zenon_H1a3.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.88/22.07 apply (zenon_L1259_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.88/22.07 apply (zenon_L1128_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.88/22.07 apply (zenon_L231_); trivial.
% 21.88/22.07 apply (zenon_L1274_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1275_ *)
% 21.88/22.07 assert (zenon_L1276_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.88/22.07 do 0 intro. intros zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H93 zenon_H77 zenon_H7f zenon_H1b7.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.88/22.07 apply (zenon_L246_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.88/22.07 apply (zenon_L413_); trivial.
% 21.88/22.07 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.88/22.07 apply (zenon_L218_); trivial.
% 21.88/22.07 apply (zenon_L780_); trivial.
% 21.88/22.07 (* end of lemma zenon_L1276_ *)
% 21.88/22.07 assert (zenon_L1277_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H141 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H16a zenon_H1a2 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H34 zenon_Hbc zenon_He4 zenon_H234 zenon_Hfe zenon_Ha0 zenon_H140 zenon_H195 zenon_H1f1 zenon_H13f zenon_H196 zenon_H10c zenon_H47 zenon_Hfa zenon_H6f zenon_H1a3 zenon_H1cb zenon_H1cd zenon_H105 zenon_H231 zenon_H104 zenon_H192 zenon_H6e zenon_H1c3 zenon_H68 zenon_H5c zenon_H1c2 zenon_H18a zenon_H183 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H7f zenon_H1b7.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.88/22.08 apply (zenon_L1271_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.88/22.08 apply (zenon_L21_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.88/22.08 apply (zenon_L1275_); trivial.
% 21.88/22.08 apply (zenon_L1276_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1277_ *)
% 21.88/22.08 assert (zenon_L1278_ : (((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) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H18d zenon_H48 zenon_H38 zenon_H77 zenon_Hf7 zenon_Hb9 zenon_Hb6 zenon_H106 zenon_H1cb.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.88/22.08 apply (zenon_L246_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.88/22.08 apply (zenon_L206_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.88/22.08 apply (zenon_L182_); trivial.
% 21.88/22.08 apply (zenon_L846_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1278_ *)
% 21.88/22.08 assert (zenon_L1279_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((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) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H1c3 zenon_H162 zenon_Ha0 zenon_H5c zenon_H68 zenon_H19a zenon_H1cb zenon_H106 zenon_Hb6 zenon_Hb9 zenon_H77 zenon_H38 zenon_H48 zenon_H18d zenon_H8a zenon_H1c2 zenon_H171 zenon_H1b7.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.88/22.08 apply (zenon_L166_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.88/22.08 apply (zenon_L1278_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.88/22.08 apply (zenon_L207_); trivial.
% 21.88/22.08 apply (zenon_L188_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1279_ *)
% 21.88/22.08 assert (zenon_L1280_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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) (e2)) = (op (e2) (e3)))) -> (((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 (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H183 zenon_H18a zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H16a zenon_H196 zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H1c2 zenon_H18d zenon_H48 zenon_H38 zenon_H77 zenon_Hb9 zenon_Hb6 zenon_H1cb zenon_H19a zenon_H68 zenon_H5c zenon_Ha0 zenon_H162 zenon_H1c3 zenon_H8a zenon_H104 zenon_H24e zenon_H34 zenon_H7d zenon_H106 zenon_H1cd zenon_H1b7 zenon_H10c zenon_H11a.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.88/22.08 apply (zenon_L1255_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.88/22.08 apply (zenon_L1279_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.88/22.08 apply (zenon_L231_); trivial.
% 21.88/22.08 apply (zenon_L1256_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1280_ *)
% 21.88/22.08 assert (zenon_L1281_ : ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H54 zenon_Hf0 zenon_H191 zenon_H183 zenon_H18a zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H16a zenon_H196 zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H1c2 zenon_H18d zenon_H48 zenon_H38 zenon_H77 zenon_Hb6 zenon_H1cb zenon_H19a zenon_H68 zenon_H5c zenon_Ha0 zenon_H162 zenon_H1c3 zenon_H8a zenon_H104 zenon_H24e zenon_H34 zenon_H7d zenon_H106 zenon_H1cd zenon_H1b7 zenon_H10c zenon_H11a.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.88/22.08 apply (zenon_L151_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.88/22.08 apply (zenon_L74_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.88/22.08 exact (zenon_H191 zenon_H110).
% 21.88/22.08 apply (zenon_L1280_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1281_ *)
% 21.88/22.08 assert (zenon_L1282_ : ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_Hdd zenon_H11a zenon_H10c zenon_H1b7 zenon_H1cd zenon_H7d zenon_H34 zenon_H24e zenon_H104 zenon_H1c3 zenon_H162 zenon_Ha0 zenon_H5c zenon_H68 zenon_H19a zenon_Hb6 zenon_H1c2 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H196 zenon_H16a zenon_H1a2 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H18a zenon_H183 zenon_H191 zenon_Hf0 zenon_H54 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H106 zenon_H1cb.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.88/22.08 apply (zenon_L30_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.88/22.08 apply (zenon_L54_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.88/22.08 apply (zenon_L1281_); trivial.
% 21.88/22.08 apply (zenon_L1159_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1282_ *)
% 21.88/22.08 assert (zenon_L1283_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.88/22.08 do 0 intro. intros zenon_Hf0 zenon_H191 zenon_H162 zenon_H24e zenon_H7d zenon_H11a zenon_Hdd zenon_Hf3 zenon_H201 zenon_H1b7 zenon_H7f zenon_H77 zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H183 zenon_H18a zenon_H1c2 zenon_H68 zenon_H1c3 zenon_H6e zenon_H192 zenon_H104 zenon_H231 zenon_H1cd zenon_H1cb zenon_H1a3 zenon_H6f zenon_Hfa zenon_H47 zenon_H10c zenon_H196 zenon_H13f zenon_H1f1 zenon_H140 zenon_Ha0 zenon_Hfe zenon_H234 zenon_He4 zenon_Hbc zenon_H34 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H16a zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H141 zenon_H195 zenon_H5c.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.88/22.08 apply (zenon_L1265_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.88/22.08 apply (zenon_L117_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.88/22.08 apply (zenon_L1277_); trivial.
% 21.88/22.08 apply (zenon_L1282_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.88/22.08 apply (zenon_L284_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.88/22.08 apply (zenon_L1277_); trivial.
% 21.88/22.08 apply (zenon_L149_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1283_ *)
% 21.88/22.08 assert (zenon_L1284_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H139 zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_H47 zenon_H13a zenon_H153 zenon_H77 zenon_H38 zenon_H68.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.88/22.08 apply (zenon_L251_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.88/22.08 apply (zenon_L1254_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.88/22.08 apply (zenon_L94_); trivial.
% 21.88/22.08 apply (zenon_L165_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1284_ *)
% 21.88/22.08 assert (zenon_L1285_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H201 zenon_H68 zenon_H38 zenon_H77 zenon_H13a zenon_H47 zenon_Ha9 zenon_Hb6 zenon_Ha0 zenon_H139 zenon_H186 zenon_H5c zenon_H48 zenon_H14c zenon_H1cd zenon_H7f.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.88/22.08 apply (zenon_L1284_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.88/22.08 apply (zenon_L138_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.88/22.08 apply (zenon_L255_); trivial.
% 21.88/22.08 apply (zenon_L331_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1285_ *)
% 21.88/22.08 assert (zenon_L1286_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H201 zenon_H67 zenon_Hfe zenon_Hdd zenon_H11a zenon_H10c zenon_H1b7 zenon_H1cd zenon_H7d zenon_H34 zenon_H24e zenon_H104 zenon_H1c3 zenon_H162 zenon_Ha0 zenon_H5c zenon_H68 zenon_H19a zenon_Hb6 zenon_H1c2 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H196 zenon_H16a zenon_H1a2 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H18a zenon_H183 zenon_H191 zenon_Hf0 zenon_H54 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.88/22.08 apply (zenon_L95_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.88/22.08 apply (zenon_L138_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.88/22.08 apply (zenon_L446_); trivial.
% 21.88/22.08 apply (zenon_L1282_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1286_ *)
% 21.88/22.08 assert (zenon_L1287_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H139 zenon_H2c zenon_H65 zenon_H77 zenon_Ha0 zenon_Ha9 zenon_H3d zenon_Hb6 zenon_H47 zenon_H13a zenon_H38 zenon_H68.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.88/22.08 apply (zenon_L180_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.88/22.08 apply (zenon_L214_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.88/22.08 apply (zenon_L1148_); trivial.
% 21.88/22.08 apply (zenon_L165_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1287_ *)
% 21.88/22.08 assert (zenon_L1288_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((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)) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H117 zenon_Ha9 zenon_H65 zenon_Hdb zenon_H6f zenon_H14c zenon_Ha0 zenon_H18d zenon_H48 zenon_H38 zenon_H5d zenon_H3c zenon_Hb6 zenon_H106 zenon_H1cb.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.88/22.08 apply (zenon_L43_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.88/22.08 apply (zenon_L205_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.88/22.08 apply (zenon_L278_); trivial.
% 21.88/22.08 apply (zenon_L1151_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1288_ *)
% 21.88/22.08 assert (zenon_L1289_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((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)) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H201 zenon_H66 zenon_H77 zenon_H4e zenon_H53 zenon_H190 zenon_H117 zenon_Ha9 zenon_H65 zenon_Hdb zenon_H6f zenon_H14c zenon_Ha0 zenon_H18d zenon_H48 zenon_H38 zenon_H5d zenon_H3c zenon_Hb6 zenon_H1cb.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.88/22.08 apply (zenon_L94_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.88/22.08 apply (zenon_L14_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.88/22.08 apply (zenon_L143_); trivial.
% 21.88/22.08 apply (zenon_L1288_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1289_ *)
% 21.88/22.08 assert (zenon_L1290_ : (((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) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H18d zenon_H48 zenon_H38 zenon_H5d zenon_H3c zenon_Hb9 zenon_Hb6 zenon_H7f zenon_H1b7.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 21.88/22.08 apply (zenon_L246_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 21.88/22.08 apply (zenon_L17_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 21.88/22.08 apply (zenon_L182_); trivial.
% 21.88/22.08 apply (zenon_L780_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1290_ *)
% 21.88/22.08 assert (zenon_L1291_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e1)) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H117 zenon_H109 zenon_H9d zenon_Hdb zenon_H6f zenon_H14c zenon_Ha0 zenon_Hb6 zenon_H128.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.88/22.08 apply (zenon_L73_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.88/22.08 apply (zenon_L205_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.88/22.08 apply (zenon_L278_); trivial.
% 21.88/22.08 apply (zenon_L182_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1291_ *)
% 21.88/22.08 assert (zenon_L1292_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H13f zenon_H77 zenon_H1f1 zenon_H1b7 zenon_H7f zenon_H3c zenon_H5d zenon_H38 zenon_H48 zenon_H18d zenon_H65 zenon_Ha9 zenon_H117 zenon_H109 zenon_H9d zenon_Hdb zenon_H6f zenon_H14c zenon_Ha0 zenon_Hb6.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.88/22.08 apply (zenon_L30_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.88/22.08 apply (zenon_L284_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.88/22.08 apply (zenon_L43_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.88/22.08 apply (zenon_L205_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.88/22.08 apply (zenon_L400_); trivial.
% 21.88/22.08 apply (zenon_L1290_); trivial.
% 21.88/22.08 apply (zenon_L1291_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1292_ *)
% 21.88/22.08 assert (zenon_L1293_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_He4 zenon_H23c zenon_H1cb zenon_H190 zenon_H4e zenon_H66 zenon_H201 zenon_H13f zenon_H77 zenon_H1f1 zenon_H1b7 zenon_H3c zenon_H5d zenon_H38 zenon_H48 zenon_H18d zenon_H65 zenon_Ha9 zenon_H117 zenon_H109 zenon_H9d zenon_Hdb zenon_H6f zenon_H14c zenon_Ha0 zenon_Hb6.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.88/22.08 apply (zenon_L55_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.88/22.08 apply (zenon_L492_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.88/22.08 apply (zenon_L1289_); trivial.
% 21.88/22.08 apply (zenon_L1292_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1293_ *)
% 21.88/22.08 assert (zenon_L1294_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (((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 (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H13a zenon_H33 zenon_Hb6 zenon_H14c zenon_H6f zenon_H9d zenon_H109 zenon_H117 zenon_H65 zenon_H18d zenon_H48 zenon_H5d zenon_H3c zenon_H1b7 zenon_H1f1 zenon_H77 zenon_H13f zenon_H201 zenon_H4e zenon_H190 zenon_H1cb zenon_H23c zenon_He4 zenon_Ha9 zenon_H66 zenon_H38 zenon_Ha0.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.08 apply (zenon_L245_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.08 apply (zenon_L1293_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.08 apply (zenon_L193_); trivial.
% 21.88/22.08 apply (zenon_L156_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1294_ *)
% 21.88/22.08 assert (zenon_L1295_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((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)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H1cf zenon_Ha0 zenon_H38 zenon_Ha9 zenon_He4 zenon_H23c zenon_H190 zenon_H4e zenon_H201 zenon_H13f zenon_H77 zenon_H1f1 zenon_H1b7 zenon_H3c zenon_H5d zenon_H48 zenon_H18d zenon_H117 zenon_H109 zenon_H9d zenon_H6f zenon_H14c zenon_Hb6 zenon_H33 zenon_H13a zenon_Hf7 zenon_H186 zenon_H1ef zenon_H65 zenon_H1bb zenon_H18a zenon_H34 zenon_H106 zenon_H1cb zenon_Hc4.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.88/22.08 apply (zenon_L1294_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.88/22.08 apply (zenon_L438_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.88/22.08 apply (zenon_L533_); trivial.
% 21.88/22.08 apply (zenon_L847_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1295_ *)
% 21.88/22.08 assert (zenon_L1296_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((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 (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e3) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H121 zenon_H1cb zenon_H106 zenon_H34 zenon_H18a zenon_H1bb zenon_H65 zenon_H1ef zenon_H186 zenon_Hf7 zenon_H13a zenon_H33 zenon_Hb6 zenon_H14c zenon_H6f zenon_H109 zenon_H117 zenon_H18d zenon_H48 zenon_H5d zenon_H3c zenon_H1b7 zenon_H1f1 zenon_H77 zenon_H13f zenon_H201 zenon_H4e zenon_H190 zenon_H23c zenon_He4 zenon_H38 zenon_Ha0 zenon_H1cf zenon_H171 zenon_Ha9 zenon_H1a3 zenon_Hc4.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.88/22.08 apply (zenon_L1295_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.88/22.08 apply (zenon_L371_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.88/22.08 exact (zenon_H1a3 zenon_Hbb).
% 21.88/22.08 exact (zenon_Hc4 zenon_Hc3).
% 21.88/22.08 (* end of lemma zenon_L1296_ *)
% 21.88/22.08 assert (zenon_L1297_ : (((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) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H25b zenon_H38 zenon_Hf5 zenon_H5d zenon_H3c zenon_H20f zenon_H17c zenon_Hb9 zenon_H195.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H136 | zenon_intro zenon_H25c ].
% 21.88/22.08 apply (zenon_L663_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H5c | zenon_intro zenon_H25d ].
% 21.88/22.08 apply (zenon_L17_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Ha5 ].
% 21.88/22.08 apply (zenon_L570_); trivial.
% 21.88/22.08 apply (zenon_L172_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1297_ *)
% 21.88/22.08 assert (zenon_L1298_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H26a zenon_Ha0 zenon_H1a3 zenon_H10d zenon_H190 zenon_H186 zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H195 zenon_H17c zenon_H20f zenon_H3c zenon_H5d zenon_Hf5 zenon_H38 zenon_H25b zenon_Hc4.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H9e | zenon_intro zenon_H26b ].
% 21.88/22.08 apply (zenon_L156_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H26c ].
% 21.88/22.08 apply (zenon_L1173_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc3 ].
% 21.88/22.08 apply (zenon_L1297_); trivial.
% 21.88/22.08 exact (zenon_Hc4 zenon_Hc3).
% 21.88/22.08 (* end of lemma zenon_L1298_ *)
% 21.88/22.08 assert (zenon_L1299_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((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 (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H183 zenon_H18d zenon_H48 zenon_H129 zenon_H1b4 zenon_H1bb zenon_H1cb zenon_H121 zenon_H34 zenon_H18a zenon_H65 zenon_H1ef zenon_H13a zenon_H33 zenon_Hb6 zenon_H14c zenon_H6f zenon_H109 zenon_H117 zenon_H1b7 zenon_H1f1 zenon_H13f zenon_H201 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H68 zenon_H1c3 zenon_H106 zenon_H77 zenon_H26a zenon_Ha0 zenon_H1a3 zenon_H10d zenon_H190 zenon_H186 zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H195 zenon_H20f zenon_H3c zenon_H5d zenon_Hf5 zenon_H38 zenon_H25b zenon_Hc4.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.88/22.08 apply (zenon_L291_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.88/22.08 apply (zenon_L165_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.88/22.08 apply (zenon_L1296_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.88/22.08 apply (zenon_L1159_); trivial.
% 21.88/22.08 apply (zenon_L1298_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.88/22.08 apply (zenon_L367_); trivial.
% 21.88/22.08 apply (zenon_L1298_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1299_ *)
% 21.88/22.08 assert (zenon_L1300_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H13a zenon_Hc4 zenon_H104 zenon_H1c7 zenon_H33 zenon_H121 zenon_Hb6 zenon_H3d zenon_H111 zenon_H110 zenon_H38 zenon_Ha0.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.88/22.08 apply (zenon_L819_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.88/22.08 apply (zenon_L55_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.88/22.08 apply (zenon_L75_); trivial.
% 21.88/22.08 apply (zenon_L156_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1300_ *)
% 21.88/22.08 assert (zenon_L1301_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (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 (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (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 (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 21.88/22.08 do 0 intro. intros zenon_H139 zenon_H2c zenon_H1cb zenon_Hb6 zenon_H3c zenon_H5d zenon_H48 zenon_H18d zenon_H13a zenon_Hc4 zenon_H104 zenon_H1c7 zenon_H33 zenon_H121 zenon_H3d zenon_H111 zenon_Ha0 zenon_H183 zenon_H129 zenon_H1b4 zenon_H1bb zenon_H34 zenon_H18a zenon_H65 zenon_H1ef zenon_H14c zenon_H6f zenon_H109 zenon_H117 zenon_H1b7 zenon_H1f1 zenon_H13f zenon_H201 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H1c3 zenon_H77 zenon_H26a zenon_H1a3 zenon_H190 zenon_H186 zenon_Ha9 zenon_H1a2 zenon_H195 zenon_H20f zenon_Hf5 zenon_H25b zenon_H1d8 zenon_H38 zenon_H68.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.88/22.08 apply (zenon_L180_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.88/22.08 apply (zenon_L214_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.88/22.08 apply (zenon_L738_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.88/22.08 apply (zenon_L14_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.88/22.08 apply (zenon_L255_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.88/22.08 apply (zenon_L43_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.88/22.08 apply (zenon_L1299_); trivial.
% 21.88/22.08 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.88/22.08 apply (zenon_L1300_); trivial.
% 21.88/22.08 apply (zenon_L1151_); trivial.
% 21.88/22.08 apply (zenon_L165_); trivial.
% 21.88/22.08 (* end of lemma zenon_L1301_ *)
% 21.88/22.08 assert (zenon_L1302_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (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 (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((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)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (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) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.97/22.09 do 0 intro. intros zenon_H82 zenon_H68 zenon_H38 zenon_H1d8 zenon_H25b zenon_Hf5 zenon_H20f zenon_H195 zenon_H1a2 zenon_Ha9 zenon_H186 zenon_H190 zenon_H1a3 zenon_H26a zenon_H1c3 zenon_H1cf zenon_He4 zenon_H23c zenon_H4e zenon_H201 zenon_H13f zenon_H1f1 zenon_H1b7 zenon_H117 zenon_H109 zenon_H6f zenon_H14c zenon_H1ef zenon_H18a zenon_H1bb zenon_H1b4 zenon_H129 zenon_H183 zenon_Ha0 zenon_H111 zenon_H3d zenon_H121 zenon_H33 zenon_H1c7 zenon_H104 zenon_Hc4 zenon_H13a zenon_H18d zenon_H5d zenon_Hb6 zenon_H1cb zenon_H2c zenon_H139 zenon_H65 zenon_H77 zenon_H34 zenon_H48.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.97/22.09 apply (zenon_L1287_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.97/22.09 apply (zenon_L1301_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.97/22.09 apply (zenon_L30_); trivial.
% 21.97/22.09 apply (zenon_L456_); trivial.
% 21.97/22.09 (* end of lemma zenon_L1302_ *)
% 21.97/22.09 assert (zenon_L1303_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((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) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.97/22.09 do 0 intro. intros zenon_H1c3 zenon_H162 zenon_Ha0 zenon_H5c zenon_H68 zenon_H19a zenon_H1cb zenon_Hb6 zenon_Hb9 zenon_H77 zenon_H38 zenon_H48 zenon_H18d zenon_H189 zenon_H6d zenon_H24e zenon_H34 zenon_H7d zenon_H106 zenon_H1cd zenon_H1b7 zenon_H10c zenon_H11a.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.97/22.09 apply (zenon_L166_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.97/22.09 apply (zenon_L1278_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.97/22.09 apply (zenon_L439_); trivial.
% 21.97/22.09 apply (zenon_L1256_); trivial.
% 21.97/22.09 (* end of lemma zenon_L1303_ *)
% 21.97/22.09 assert (zenon_L1304_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.97/22.09 do 0 intro. intros zenon_H2c zenon_H1c7 zenon_H33 zenon_H121 zenon_H3d zenon_H111 zenon_H14c zenon_H109 zenon_H1f1 zenon_H13f zenon_H201 zenon_H23c zenon_He4 zenon_H26a zenon_H1a3 zenon_H1d8 zenon_H82 zenon_H11a zenon_H10c zenon_H1b7 zenon_H1cd zenon_H7d zenon_H34 zenon_H24e zenon_H104 zenon_H1c3 zenon_H162 zenon_Ha0 zenon_H5c zenon_H68 zenon_H19a zenon_Hb6 zenon_H1c2 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H196 zenon_H16a zenon_H1a2 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H18a zenon_H183 zenon_H191 zenon_Hf0 zenon_H54 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H106 zenon_H1cb.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.09 apply (zenon_L1302_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.97/22.09 apply (zenon_L151_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.97/22.09 apply (zenon_L289_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.97/22.09 exact (zenon_H191 zenon_H110).
% 21.97/22.09 apply (zenon_L1303_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.09 apply (zenon_L1281_); trivial.
% 21.97/22.09 apply (zenon_L1159_); trivial.
% 21.97/22.09 (* end of lemma zenon_L1304_ *)
% 21.97/22.09 assert (zenon_L1305_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 21.97/22.09 do 0 intro. intros zenon_H196 zenon_H2c zenon_H1c7 zenon_H33 zenon_H121 zenon_H3d zenon_H111 zenon_H109 zenon_H1f1 zenon_H13f zenon_H201 zenon_H23c zenon_He4 zenon_H26a zenon_H1a3 zenon_H1d8 zenon_H82 zenon_H11a zenon_H10c zenon_H1b7 zenon_H1cd zenon_H7d zenon_H34 zenon_H24e zenon_H104 zenon_H1c3 zenon_H162 zenon_H5c zenon_H68 zenon_H19a zenon_Hb6 zenon_H1c2 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H16a zenon_H1a2 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H18a zenon_H183 zenon_H191 zenon_Hf0 zenon_H54 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H1cb zenon_H67 zenon_H141 zenon_H38 zenon_Ha0.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.97/22.09 apply (zenon_L538_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.97/22.09 apply (zenon_L55_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.09 apply (zenon_L217_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.09 apply (zenon_L1286_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.09 apply (zenon_L95_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.09 apply (zenon_L138_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.09 apply (zenon_L255_); trivial.
% 21.97/22.09 apply (zenon_L1304_); trivial.
% 21.97/22.09 apply (zenon_L1162_); trivial.
% 21.97/22.09 apply (zenon_L156_); trivial.
% 21.97/22.09 (* end of lemma zenon_L1305_ *)
% 21.97/22.09 assert (zenon_L1306_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 21.97/22.09 do 0 intro. intros zenon_H141 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_H48 zenon_H18d zenon_H54 zenon_Hf0 zenon_H191 zenon_H183 zenon_H18a zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H16a zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1c2 zenon_H19a zenon_H5c zenon_H162 zenon_H1c3 zenon_H104 zenon_H24e zenon_H34 zenon_H7d zenon_H1cd zenon_H1b7 zenon_H82 zenon_H1d8 zenon_H26a zenon_He4 zenon_H23c zenon_H201 zenon_H13f zenon_H1f1 zenon_H109 zenon_H111 zenon_H1c7 zenon_H2c zenon_H196 zenon_H77 zenon_Ha0 zenon_Ha9 zenon_H3d zenon_Hb6 zenon_H121 zenon_H33 zenon_H11a zenon_H10c zenon_H1a3 zenon_Hc4 zenon_H13a zenon_H38 zenon_H68.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.97/22.09 apply (zenon_L1305_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.97/22.09 apply (zenon_L214_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.97/22.09 apply (zenon_L1248_); trivial.
% 21.97/22.09 apply (zenon_L165_); trivial.
% 21.97/22.09 (* end of lemma zenon_L1306_ *)
% 21.97/22.09 assert (zenon_L1307_ : (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.97/22.09 do 0 intro. intros zenon_H68 zenon_H38 zenon_H13a zenon_Hc4 zenon_H1a3 zenon_H10c zenon_H11a zenon_H33 zenon_H121 zenon_Hb6 zenon_H3d zenon_Ha9 zenon_Ha0 zenon_H77 zenon_H196 zenon_H2c zenon_H1c7 zenon_H111 zenon_H109 zenon_H1f1 zenon_H13f zenon_H201 zenon_H23c zenon_He4 zenon_H26a zenon_H1d8 zenon_H82 zenon_H1b7 zenon_H1cd zenon_H7d zenon_H24e zenon_H104 zenon_H1c3 zenon_H162 zenon_H5c zenon_H19a zenon_H1c2 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H16a zenon_H1a2 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H18a zenon_H183 zenon_H191 zenon_Hf0 zenon_H18d zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1cb zenon_H141 zenon_H34 zenon_H48.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.97/22.09 apply (zenon_L1149_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.97/22.09 apply (zenon_L17_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.97/22.09 apply (zenon_L1306_); trivial.
% 21.97/22.09 apply (zenon_L456_); trivial.
% 21.97/22.09 (* end of lemma zenon_L1307_ *)
% 21.97/22.09 assert (zenon_L1308_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((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 (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.97/22.09 do 0 intro. intros zenon_H1c3 zenon_H162 zenon_Ha0 zenon_H5c zenon_H68 zenon_H19a zenon_H1cb zenon_Hb6 zenon_Hb9 zenon_H120 zenon_H77 zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H24e zenon_H34 zenon_H7d zenon_H106 zenon_H1cd zenon_H1b7 zenon_H10c zenon_H11a.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.97/22.09 apply (zenon_L166_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.97/22.09 apply (zenon_L1278_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.97/22.09 apply (zenon_L555_); trivial.
% 21.97/22.09 apply (zenon_L1256_); trivial.
% 21.97/22.09 (* end of lemma zenon_L1308_ *)
% 21.97/22.09 assert (zenon_L1309_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((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 (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.97/22.09 do 0 intro. intros zenon_H117 zenon_Ha9 zenon_H195 zenon_H14c zenon_H65 zenon_H13f zenon_H191 zenon_H1c3 zenon_H162 zenon_Ha0 zenon_H5c zenon_H68 zenon_H19a zenon_H1cb zenon_Hb6 zenon_H120 zenon_H77 zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H24e zenon_H34 zenon_H7d zenon_H106 zenon_H1cd zenon_H1b7 zenon_H10c zenon_H11a.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.97/22.09 apply (zenon_L43_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.97/22.09 apply (zenon_L256_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.97/22.09 exact (zenon_H191 zenon_H110).
% 21.97/22.09 apply (zenon_L1308_); trivial.
% 21.97/22.09 (* end of lemma zenon_L1309_ *)
% 21.97/22.09 assert (zenon_L1310_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 21.97/22.09 do 0 intro. intros zenon_H201 zenon_H173 zenon_H121 zenon_H33 zenon_H1a3 zenon_H13a zenon_H186 zenon_H16a zenon_Hb6 zenon_H19a zenon_Ha0 zenon_H162 zenon_H191 zenon_H13f zenon_H14c zenon_H195 zenon_Ha9 zenon_H117 zenon_H53 zenon_H11a zenon_H10c zenon_H1b7 zenon_H1cd zenon_H7d zenon_H34 zenon_H24e zenon_H1c3 zenon_H68 zenon_H5c zenon_H1cb zenon_H192 zenon_H6e zenon_H1c2 zenon_H18a zenon_H183 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H120.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.09 apply (zenon_L1252_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.09 apply (zenon_L138_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.09 apply (zenon_L255_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.09 apply (zenon_L1309_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.09 apply (zenon_L56_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.09 apply (zenon_L1261_); trivial.
% 21.97/22.09 apply (zenon_L555_); trivial.
% 21.97/22.09 (* end of lemma zenon_L1310_ *)
% 21.97/22.09 assert (zenon_L1311_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 21.97/22.09 do 0 intro. intros zenon_H201 zenon_Ha0 zenon_H38 zenon_Hb6 zenon_H6e zenon_Ha9 zenon_H47 zenon_H13a zenon_H186 zenon_H5c zenon_H231 zenon_H1a3 zenon_H162 zenon_H120 zenon_H1cb zenon_H1bb zenon_H104 zenon_H34 zenon_Hbc zenon_Hc2 zenon_H1cd zenon_H7f.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.09 apply (zenon_L1254_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.09 apply (zenon_L138_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.09 apply (zenon_L477_); trivial.
% 21.97/22.09 apply (zenon_L331_); trivial.
% 21.97/22.09 (* end of lemma zenon_L1311_ *)
% 21.97/22.09 assert (zenon_L1312_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.97/22.09 do 0 intro. intros zenon_H1cf zenon_H1d5 zenon_H67 zenon_H4e zenon_H76 zenon_H190 zenon_H6d zenon_H1bb zenon_H162 zenon_H120 zenon_H1cb zenon_Hc4.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.97/22.09 apply (zenon_L252_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.97/22.09 apply (zenon_L83_); trivial.
% 21.97/22.09 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.97/22.09 apply (zenon_L366_); trivial.
% 21.97/22.09 apply (zenon_L237_); trivial.
% 21.97/22.09 (* end of lemma zenon_L1312_ *)
% 21.97/22.09 assert (zenon_L1313_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (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 (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.97/22.10 do 0 intro. intros zenon_H183 zenon_H18a zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H16a zenon_H196 zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1c2 zenon_H8a zenon_H18d zenon_H48 zenon_H38 zenon_H77 zenon_Hb9 zenon_Hb6 zenon_H19a zenon_H68 zenon_H5c zenon_Ha0 zenon_H1c3 zenon_Hc4 zenon_H1cb zenon_H120 zenon_H162 zenon_H1bb zenon_H24e zenon_H34 zenon_H7d zenon_H106 zenon_H1cd zenon_H1b7 zenon_H10c zenon_H11a.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.97/22.10 apply (zenon_L1255_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.97/22.10 apply (zenon_L1279_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.97/22.10 apply (zenon_L237_); trivial.
% 21.97/22.10 apply (zenon_L1256_); trivial.
% 21.97/22.10 (* end of lemma zenon_L1313_ *)
% 21.97/22.10 assert (zenon_L1314_ : ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (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))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.97/22.10 do 0 intro. intros zenon_H54 zenon_Hf0 zenon_H191 zenon_H183 zenon_H18a zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H16a zenon_H196 zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1c2 zenon_H8a zenon_H18d zenon_H48 zenon_H38 zenon_H77 zenon_Hb6 zenon_H19a zenon_H68 zenon_H5c zenon_Ha0 zenon_H1c3 zenon_Hc4 zenon_H1cb zenon_H120 zenon_H162 zenon_H1bb zenon_H24e zenon_H34 zenon_H7d zenon_H106 zenon_H1cd zenon_H1b7 zenon_H10c zenon_H11a.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.97/22.10 apply (zenon_L151_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.97/22.10 apply (zenon_L74_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.97/22.10 exact (zenon_H191 zenon_H110).
% 21.97/22.10 apply (zenon_L1313_); trivial.
% 21.97/22.10 (* end of lemma zenon_L1314_ *)
% 21.97/22.10 assert (zenon_L1315_ : ((op (e1) (e0)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.97/22.10 do 0 intro. intros zenon_H76 zenon_H67 zenon_H1d5 zenon_H11a zenon_H10c zenon_H1b7 zenon_H1cd zenon_H7d zenon_H34 zenon_H24e zenon_H162 zenon_H120 zenon_H1c3 zenon_Ha0 zenon_H5c zenon_H68 zenon_H19a zenon_Hb6 zenon_H1c2 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H196 zenon_H16a zenon_H1a2 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H18a zenon_H183 zenon_H191 zenon_Hf0 zenon_H54 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H106 zenon_H1cb.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.10 apply (zenon_L30_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.10 apply (zenon_L1312_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.10 apply (zenon_L1314_); trivial.
% 21.97/22.10 apply (zenon_L1159_); trivial.
% 21.97/22.10 (* end of lemma zenon_L1315_ *)
% 21.97/22.10 assert (zenon_L1316_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 21.97/22.10 do 0 intro. intros zenon_H140 zenon_H48 zenon_Ha0 zenon_H1a3 zenon_H191 zenon_Hef zenon_H153 zenon_Hb6 zenon_H1a2 zenon_Hbc zenon_H34.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.97/22.10 apply (zenon_L239_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.97/22.10 apply (zenon_L1265_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.97/22.10 apply (zenon_L1150_); trivial.
% 21.97/22.10 apply (zenon_L328_); trivial.
% 21.97/22.10 (* end of lemma zenon_L1316_ *)
% 21.97/22.10 assert (zenon_L1317_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.97/22.10 do 0 intro. intros zenon_H201 zenon_H140 zenon_H231 zenon_H1a3 zenon_H104 zenon_Hbc zenon_Hc2 zenon_H2c zenon_H67 zenon_Hef zenon_H11a zenon_H10c zenon_H1b7 zenon_H1cd zenon_H7d zenon_H34 zenon_H24e zenon_H162 zenon_H120 zenon_H1c3 zenon_Ha0 zenon_H5c zenon_H68 zenon_H19a zenon_Hb6 zenon_H1c2 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H196 zenon_H16a zenon_H1a2 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H18a zenon_H183 zenon_H191 zenon_Hf0 zenon_H54 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.10 apply (zenon_L1316_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.10 apply (zenon_L138_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.10 apply (zenon_L477_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.10 apply (zenon_L180_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.10 apply (zenon_L61_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.10 apply (zenon_L1314_); trivial.
% 21.97/22.10 apply (zenon_L1159_); trivial.
% 21.97/22.10 (* end of lemma zenon_L1317_ *)
% 21.97/22.10 assert (zenon_L1318_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.97/22.10 do 0 intro. intros zenon_Hfa zenon_H1d5 zenon_Hfe zenon_H3d zenon_H1d8 zenon_H1cb zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H54 zenon_Hf0 zenon_H191 zenon_H183 zenon_H18a zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H16a zenon_H196 zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1c2 zenon_Hb6 zenon_H19a zenon_Ha0 zenon_H1c3 zenon_H120 zenon_H162 zenon_H24e zenon_H34 zenon_H7d zenon_H1cd zenon_H1b7 zenon_H10c zenon_H11a zenon_H67 zenon_H2c zenon_Hc2 zenon_Hbc zenon_H104 zenon_H1a3 zenon_H231 zenon_H140 zenon_H201 zenon_Hf3 zenon_H68 zenon_H5c zenon_H77.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.10 apply (zenon_L738_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.10 apply (zenon_L117_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.10 apply (zenon_L446_); trivial.
% 21.97/22.10 apply (zenon_L1315_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.97/22.10 apply (zenon_L1317_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.97/22.10 apply (zenon_L62_); trivial.
% 21.97/22.10 apply (zenon_L206_); trivial.
% 21.97/22.10 (* end of lemma zenon_L1318_ *)
% 21.97/22.10 assert (zenon_L1319_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.97/22.10 do 0 intro. intros zenon_H201 zenon_H1d8 zenon_H3d zenon_H14c zenon_H76 zenon_H67 zenon_H1d5 zenon_H11a zenon_H10c zenon_H1b7 zenon_H1cd zenon_H7d zenon_H34 zenon_H24e zenon_H162 zenon_H120 zenon_H1c3 zenon_Ha0 zenon_H5c zenon_H68 zenon_H19a zenon_Hb6 zenon_H1c2 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H196 zenon_H16a zenon_H1a2 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H18a zenon_H183 zenon_H191 zenon_Hf0 zenon_H54 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.10 apply (zenon_L738_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.10 apply (zenon_L138_); trivial.
% 21.97/22.10 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.10 apply (zenon_L255_); trivial.
% 21.97/22.10 apply (zenon_L1315_); trivial.
% 21.97/22.10 (* end of lemma zenon_L1319_ *)
% 21.97/22.10 assert (zenon_L1320_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 21.97/22.10 do 0 intro. intros zenon_H140 zenon_H231 zenon_H1a3 zenon_H104 zenon_Hc2 zenon_H2c zenon_Hfe zenon_Hfa zenon_H1cb zenon_H77 zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H54 zenon_Hf0 zenon_H191 zenon_H183 zenon_H18a zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H16a zenon_H196 zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1c2 zenon_Hb6 zenon_H19a zenon_H68 zenon_H5c zenon_Ha0 zenon_H1c3 zenon_H120 zenon_H162 zenon_H24e zenon_H7d zenon_H1cd zenon_H1b7 zenon_H10c zenon_H11a zenon_H1d5 zenon_H67 zenon_H76 zenon_H3d zenon_H1d8 zenon_H201 zenon_Hbc zenon_H34.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.97/22.11 apply (zenon_L756_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.97/22.11 apply (zenon_L1318_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.97/22.11 apply (zenon_L1319_); trivial.
% 21.97/22.11 apply (zenon_L328_); trivial.
% 21.97/22.11 (* end of lemma zenon_L1320_ *)
% 21.97/22.11 assert (zenon_L1321_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> False).
% 21.97/22.11 do 0 intro. intros zenon_Hcb zenon_H231 zenon_H162 zenon_H120 zenon_H1cb zenon_H1bb zenon_H105 zenon_H104 zenon_H34 zenon_Hbc zenon_Hc2.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.97/22.11 apply (zenon_L477_); trivial.
% 21.97/22.11 apply (zenon_L434_); trivial.
% 21.97/22.11 (* end of lemma zenon_L1321_ *)
% 21.97/22.11 assert (zenon_L1322_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.97/22.11 do 0 intro. intros zenon_H1cf zenon_H153 zenon_H77 zenon_Hf7 zenon_H186 zenon_H1ef zenon_H65 zenon_H1bb zenon_H162 zenon_H120 zenon_H1cb zenon_Hc4.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.97/22.11 apply (zenon_L94_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.97/22.11 apply (zenon_L438_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.97/22.11 apply (zenon_L533_); trivial.
% 21.97/22.11 apply (zenon_L237_); trivial.
% 21.97/22.11 (* end of lemma zenon_L1322_ *)
% 21.97/22.11 assert (zenon_L1323_ : ((op (e1) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((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 (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e3) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.97/22.11 do 0 intro. intros zenon_H133 zenon_H162 zenon_H120 zenon_H104 zenon_Hbc zenon_H231 zenon_H121 zenon_H1cb zenon_H34 zenon_H18a zenon_H1bb zenon_H65 zenon_H1ef zenon_H186 zenon_Hf7 zenon_H13a zenon_H33 zenon_Hb6 zenon_H14c zenon_H6f zenon_H109 zenon_H117 zenon_H18d zenon_H48 zenon_H5d zenon_H3c zenon_H1b7 zenon_H1f1 zenon_H77 zenon_H13f zenon_H201 zenon_H4e zenon_H190 zenon_H23c zenon_He4 zenon_H38 zenon_Ha0 zenon_H1cf zenon_H171 zenon_Ha9 zenon_H1a3 zenon_Hc4.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.11 apply (zenon_L1322_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.11 apply (zenon_L124_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.11 apply (zenon_L476_); trivial.
% 21.97/22.11 apply (zenon_L1296_); trivial.
% 21.97/22.11 (* end of lemma zenon_L1323_ *)
% 21.97/22.11 assert (zenon_L1324_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((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 (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.97/22.11 do 0 intro. intros zenon_H183 zenon_H1b7 zenon_H18d zenon_H48 zenon_H129 zenon_H1b4 zenon_H1bb zenon_H120 zenon_H133 zenon_H162 zenon_H104 zenon_Hbc zenon_H231 zenon_H121 zenon_H1cb zenon_H34 zenon_H18a zenon_H65 zenon_H1ef zenon_H13a zenon_H33 zenon_Hb6 zenon_H14c zenon_H6f zenon_H109 zenon_H117 zenon_H1f1 zenon_H13f zenon_H201 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H68 zenon_H1c3 zenon_H106 zenon_H77 zenon_H26a zenon_Ha0 zenon_H1a3 zenon_H10d zenon_H190 zenon_H186 zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H195 zenon_H20f zenon_H3c zenon_H5d zenon_Hf5 zenon_H38 zenon_H25b zenon_Hc4.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.97/22.11 apply (zenon_L291_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.97/22.11 apply (zenon_L165_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.97/22.11 apply (zenon_L1323_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.97/22.11 apply (zenon_L555_); trivial.
% 21.97/22.11 apply (zenon_L188_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.97/22.11 apply (zenon_L367_); trivial.
% 21.97/22.11 apply (zenon_L1298_); trivial.
% 21.97/22.11 (* end of lemma zenon_L1324_ *)
% 21.97/22.11 assert (zenon_L1325_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 21.97/22.11 do 0 intro. intros zenon_H139 zenon_H2c zenon_H1cb zenon_Hb6 zenon_H3c zenon_H5d zenon_H48 zenon_H18d zenon_Ha0 zenon_H14c zenon_Hc4 zenon_H25b zenon_Hf5 zenon_H20f zenon_H195 zenon_H1a2 zenon_Ha9 zenon_H186 zenon_H190 zenon_H26a zenon_H77 zenon_H1c3 zenon_H1cf zenon_He4 zenon_H23c zenon_H4e zenon_H201 zenon_H13f zenon_H1f1 zenon_H117 zenon_H109 zenon_H6f zenon_H33 zenon_H13a zenon_H1ef zenon_H65 zenon_H18a zenon_H34 zenon_H121 zenon_H231 zenon_Hbc zenon_H104 zenon_H162 zenon_H120 zenon_H1bb zenon_H1b4 zenon_H129 zenon_H1b7 zenon_H183 zenon_H1a3 zenon_Hcb zenon_Hc2 zenon_H3d zenon_H1d8 zenon_H38 zenon_H68.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.97/22.11 apply (zenon_L180_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.97/22.11 apply (zenon_L214_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.11 apply (zenon_L738_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.11 apply (zenon_L14_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.11 apply (zenon_L1321_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.97/22.11 apply (zenon_L43_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.97/22.11 apply (zenon_L193_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.97/22.11 apply (zenon_L1324_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.97/22.11 apply (zenon_L278_); trivial.
% 21.97/22.11 exact (zenon_H1a3 zenon_Hbb).
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.97/22.11 apply (zenon_L278_); trivial.
% 21.97/22.11 apply (zenon_L1151_); trivial.
% 21.97/22.11 apply (zenon_L165_); trivial.
% 21.97/22.11 (* end of lemma zenon_L1325_ *)
% 21.97/22.11 assert (zenon_L1326_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((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 (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (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) (e3)) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.97/22.11 do 0 intro. intros zenon_H82 zenon_H68 zenon_H38 zenon_H1d8 zenon_H3d zenon_Hc2 zenon_Hcb zenon_H1a3 zenon_H183 zenon_H1b7 zenon_H129 zenon_H1b4 zenon_H1bb zenon_H120 zenon_H162 zenon_H104 zenon_Hbc zenon_H231 zenon_H121 zenon_H18a zenon_H1ef zenon_H13a zenon_H33 zenon_H6f zenon_H109 zenon_H117 zenon_H1f1 zenon_H13f zenon_H201 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H1c3 zenon_H26a zenon_H190 zenon_H186 zenon_Ha9 zenon_H1a2 zenon_H195 zenon_H20f zenon_Hf5 zenon_H25b zenon_Hc4 zenon_H14c zenon_Ha0 zenon_H18d zenon_H5d zenon_Hb6 zenon_H1cb zenon_H2c zenon_H139 zenon_H65 zenon_H77 zenon_H34 zenon_H48.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.97/22.11 apply (zenon_L1287_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.97/22.11 apply (zenon_L1325_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.97/22.11 apply (zenon_L30_); trivial.
% 21.97/22.11 apply (zenon_L456_); trivial.
% 21.97/22.11 (* end of lemma zenon_L1326_ *)
% 21.97/22.11 assert (zenon_L1327_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.97/22.11 do 0 intro. intros zenon_H16a zenon_H139 zenon_H2c zenon_H5d zenon_H14c zenon_H25b zenon_Hf5 zenon_H195 zenon_H1a2 zenon_H186 zenon_H190 zenon_H26a zenon_H1cf zenon_He4 zenon_H23c zenon_H4e zenon_H201 zenon_H13f zenon_H1f1 zenon_H109 zenon_H6f zenon_H33 zenon_H13a zenon_H1ef zenon_H18a zenon_H121 zenon_H231 zenon_Hbc zenon_H104 zenon_H183 zenon_H1a3 zenon_Hcb zenon_Hc2 zenon_H3d zenon_H1d8 zenon_H82 zenon_H11a zenon_H10c zenon_H1b7 zenon_H1cd zenon_H7d zenon_H34 zenon_H24e zenon_H120 zenon_Hb6 zenon_H19a zenon_H68 zenon_H5c zenon_Ha0 zenon_H162 zenon_H1c3 zenon_H191 zenon_Ha9 zenon_H54 zenon_H117 zenon_H72 zenon_H131 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.11 apply (zenon_L1170_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.11 apply (zenon_L59_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.11 apply (zenon_L255_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.11 apply (zenon_L1326_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.97/22.11 apply (zenon_L151_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.97/22.11 apply (zenon_L289_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.97/22.11 exact (zenon_H191 zenon_H110).
% 21.97/22.11 apply (zenon_L1308_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.11 apply (zenon_L87_); trivial.
% 21.97/22.11 apply (zenon_L1159_); trivial.
% 21.97/22.11 (* end of lemma zenon_L1327_ *)
% 21.97/22.11 assert (zenon_L1328_ : (((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)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (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 (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 21.97/22.11 do 0 intro. intros zenon_H140 zenon_H26d zenon_H36 zenon_H1cb zenon_H77 zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H131 zenon_H72 zenon_H117 zenon_H54 zenon_Ha9 zenon_H191 zenon_H1c3 zenon_H162 zenon_Ha0 zenon_H5c zenon_H68 zenon_H19a zenon_Hb6 zenon_H120 zenon_H24e zenon_H7d zenon_H1cd zenon_H1b7 zenon_H10c zenon_H11a zenon_H82 zenon_H1d8 zenon_H3d zenon_Hc2 zenon_Hcb zenon_H1a3 zenon_H183 zenon_H104 zenon_H231 zenon_H121 zenon_H18a zenon_H1ef zenon_H13a zenon_H33 zenon_H6f zenon_H109 zenon_H1f1 zenon_H13f zenon_H201 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H26a zenon_H190 zenon_H186 zenon_H1a2 zenon_H195 zenon_Hf5 zenon_H25b zenon_H5d zenon_H2c zenon_H139 zenon_H16a zenon_Hbc zenon_H34.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.97/22.11 apply (zenon_L757_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.97/22.11 apply (zenon_L62_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.97/22.11 apply (zenon_L1327_); trivial.
% 21.97/22.11 apply (zenon_L328_); trivial.
% 21.97/22.11 (* end of lemma zenon_L1328_ *)
% 21.97/22.11 assert (zenon_L1329_ : (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (((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)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (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 (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 21.97/22.11 do 0 intro. intros zenon_H77 zenon_H5c zenon_H140 zenon_H26d zenon_H36 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H131 zenon_H117 zenon_H54 zenon_Ha9 zenon_H191 zenon_H1c3 zenon_H162 zenon_H68 zenon_H19a zenon_Hb6 zenon_H120 zenon_H24e zenon_H7d zenon_H1cd zenon_H1b7 zenon_H10c zenon_H11a zenon_H82 zenon_H1d8 zenon_H3d zenon_Hc2 zenon_Hcb zenon_H1a3 zenon_H183 zenon_H104 zenon_H231 zenon_H121 zenon_H18a zenon_H1ef zenon_H13a zenon_H33 zenon_H6f zenon_H109 zenon_H1f1 zenon_H13f zenon_H201 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H26a zenon_H190 zenon_H186 zenon_H1a2 zenon_H195 zenon_Hf5 zenon_H25b zenon_H5d zenon_H2c zenon_H139 zenon_H16a zenon_Hbc zenon_H34 zenon_H67 zenon_H1c2 zenon_H283 zenon_H163 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H266 zenon_H13c zenon_H196 zenon_H1c6 zenon_H27e zenon_H189 zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1fb zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_Hf0 zenon_Hfa zenon_H1d5 zenon_H38 zenon_Ha0.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.97/22.11 apply (zenon_L538_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.97/22.11 apply (zenon_L120_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.97/22.11 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.97/22.11 apply (zenon_L1320_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.97/22.11 apply (zenon_L1317_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.97/22.11 apply (zenon_L1328_); trivial.
% 21.97/22.11 apply (zenon_L206_); trivial.
% 21.97/22.11 apply (zenon_L156_); trivial.
% 21.97/22.11 (* end of lemma zenon_L1329_ *)
% 21.97/22.11 assert (zenon_L1330_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (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) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (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) (e3)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 21.97/22.11 do 0 intro. intros zenon_H1d5 zenon_Hfa zenon_Hf0 zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H1fb zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H236 zenon_H189 zenon_H27e zenon_H1c6 zenon_H196 zenon_H13c zenon_H266 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H163 zenon_H283 zenon_H1c2 zenon_H34 zenon_Hbc zenon_H16a zenon_H139 zenon_H2c zenon_H5d zenon_H25b zenon_Hf5 zenon_H195 zenon_H1a2 zenon_H186 zenon_H190 zenon_H26a zenon_H1cf zenon_He4 zenon_H23c zenon_H4e zenon_H201 zenon_H13f zenon_H1f1 zenon_H109 zenon_H6f zenon_H1ef zenon_H18a zenon_H231 zenon_H104 zenon_H183 zenon_Hcb zenon_Hc2 zenon_H1d8 zenon_H82 zenon_H1b7 zenon_H1cd zenon_H7d zenon_H24e zenon_H120 zenon_H19a zenon_H162 zenon_H1c3 zenon_H191 zenon_H54 zenon_H117 zenon_H131 zenon_H18d zenon_H48 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1cb zenon_H36 zenon_H26d zenon_H140 zenon_H5c zenon_H77 zenon_Ha0 zenon_Ha9 zenon_H3d zenon_Hb6 zenon_H121 zenon_H33 zenon_H11a zenon_H10c zenon_H1a3 zenon_Hc4 zenon_H13a zenon_H38 zenon_H68.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.97/22.11 apply (zenon_L1329_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.97/22.11 apply (zenon_L214_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.97/22.11 apply (zenon_L1248_); trivial.
% 21.97/22.11 apply (zenon_L165_); trivial.
% 21.97/22.11 (* end of lemma zenon_L1330_ *)
% 21.97/22.11 assert (zenon_L1331_ : (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (((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)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (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) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (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 (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.97/22.11 do 0 intro. intros zenon_H68 zenon_H38 zenon_H13a zenon_Hc4 zenon_H1a3 zenon_H10c zenon_H11a zenon_H33 zenon_H121 zenon_Hb6 zenon_H3d zenon_Ha9 zenon_Ha0 zenon_H77 zenon_H5c zenon_H140 zenon_H26d zenon_H36 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_H18d zenon_H131 zenon_H117 zenon_H191 zenon_H1c3 zenon_H162 zenon_H19a zenon_H120 zenon_H24e zenon_H7d zenon_H1cd zenon_H1b7 zenon_H82 zenon_H1d8 zenon_Hc2 zenon_Hcb zenon_H183 zenon_H104 zenon_H231 zenon_H18a zenon_H1ef zenon_H6f zenon_H109 zenon_H1f1 zenon_H13f zenon_H201 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H26a zenon_H190 zenon_H186 zenon_H1a2 zenon_H195 zenon_Hf5 zenon_H25b zenon_H5d zenon_H2c zenon_H139 zenon_H16a zenon_Hbc zenon_H1c2 zenon_H283 zenon_H163 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H266 zenon_H13c zenon_H196 zenon_H1c6 zenon_H27e zenon_H189 zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1fb zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_Hf0 zenon_Hfa zenon_H1d5 zenon_H34 zenon_H48.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.97/22.11 apply (zenon_L1149_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.97/22.11 apply (zenon_L17_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.97/22.11 apply (zenon_L1330_); trivial.
% 21.97/22.11 apply (zenon_L456_); trivial.
% 21.97/22.11 (* end of lemma zenon_L1331_ *)
% 21.97/22.11 assert (zenon_L1332_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (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 (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> False).
% 21.97/22.11 do 0 intro. intros zenon_Hca zenon_H36 zenon_H1d5 zenon_Hc2 zenon_H2c zenon_H1d8 zenon_H111 zenon_H26a zenon_H23c zenon_H82 zenon_H77 zenon_H234 zenon_H5c zenon_H141 zenon_H13a zenon_H38 zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H186 zenon_H1c2 zenon_H191 zenon_H183 zenon_H1f1 zenon_H24e zenon_H1cd zenon_H7d zenon_H12e zenon_H192 zenon_H19a zenon_H162 zenon_H68 zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H18a zenon_H201 zenon_H48 zenon_H34 zenon_H109 zenon_H104 zenon_H231 zenon_He4 zenon_Hbc zenon_H140 zenon_Hfa zenon_Hf0 zenon_H13f zenon_H173 zenon_H33 zenon_H11a zenon_H10c zenon_Hc4 zenon_H121 zenon_Hcb.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 21.97/22.11 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.97/22.11 apply (zenon_L251_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.97/22.11 apply (zenon_L538_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.97/22.11 apply (zenon_L120_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.97/22.11 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.97/22.11 apply (zenon_L214_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.97/22.11 apply (zenon_L484_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.11 apply (zenon_L359_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.11 apply (zenon_L111_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.11 apply (zenon_L1262_); trivial.
% 21.97/22.11 apply (zenon_L1162_); trivial.
% 21.97/22.11 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.12 apply (zenon_L1264_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.97/22.12 apply (zenon_L68_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.97/22.12 apply (zenon_L1283_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.97/22.12 apply (zenon_L1285_); trivial.
% 21.97/22.12 apply (zenon_L328_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.12 apply (zenon_L1285_); trivial.
% 21.97/22.12 apply (zenon_L1162_); trivial.
% 21.97/22.12 apply (zenon_L156_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.97/22.12 apply (zenon_L1249_); trivial.
% 21.97/22.12 apply (zenon_L165_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.97/22.12 apply (zenon_L1307_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.97/22.12 apply (zenon_L1252_); trivial.
% 21.97/22.12 apply (zenon_L192_); trivial.
% 21.97/22.12 apply (zenon_L414_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.97/22.12 apply (zenon_L251_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.97/22.12 apply (zenon_L214_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.97/22.12 apply (zenon_L484_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.12 apply (zenon_L359_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.12 apply (zenon_L111_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.12 apply (zenon_L1310_); trivial.
% 21.97/22.12 apply (zenon_L1162_); trivial.
% 21.97/22.12 apply (zenon_L1311_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.97/22.12 apply (zenon_L1249_); trivial.
% 21.97/22.12 apply (zenon_L165_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.97/22.12 apply (zenon_L1331_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.97/22.12 apply (zenon_L1252_); trivial.
% 21.97/22.12 apply (zenon_L246_); trivial.
% 21.97/22.12 apply (zenon_L434_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1332_ *)
% 21.97/22.12 assert (zenon_L1333_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (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) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e1) (e3)) = (e1)) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> False).
% 21.97/22.12 do 0 intro. intros zenon_Hc8 zenon_H13f zenon_Hf0 zenon_Hfa zenon_H140 zenon_Hbc zenon_He4 zenon_H231 zenon_H104 zenon_H109 zenon_H34 zenon_H201 zenon_H18a zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H25b zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H19a zenon_H192 zenon_H12e zenon_H7d zenon_H1cd zenon_H24e zenon_H1f1 zenon_H183 zenon_H191 zenon_H1c2 zenon_H186 zenon_H141 zenon_H234 zenon_H82 zenon_H23c zenon_H26a zenon_H111 zenon_H1d8 zenon_H2c zenon_Hc2 zenon_H1d5 zenon_H36 zenon_Hca zenon_H15d zenon_H48 zenon_H33 zenon_H77 zenon_H13a zenon_H38 zenon_Ha0 zenon_H11a zenon_H10c zenon_H177 zenon_Hc4 zenon_H121 zenon_Ha9 zenon_Hb6 zenon_H173 zenon_H68 zenon_H139 zenon_H1c3 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H5c zenon_Hcb.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.97/22.12 apply (zenon_L1253_); trivial.
% 21.97/22.12 apply (zenon_L414_); trivial.
% 21.97/22.12 apply (zenon_L1332_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1333_ *)
% 21.97/22.12 assert (zenon_L1334_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H15d zenon_H1e zenon_H7f zenon_H192 zenon_Ha0 zenon_Hb6 zenon_H10c zenon_H173 zenon_H121 zenon_H33 zenon_H11a zenon_H1a3 zenon_Hc4 zenon_H13a zenon_H38 zenon_H48.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.97/22.12 apply (zenon_L13_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.97/22.12 apply (zenon_L146_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.97/22.12 apply (zenon_L1252_); trivial.
% 21.97/22.12 apply (zenon_L246_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1334_ *)
% 21.97/22.12 assert (zenon_L1335_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((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)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((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) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H140 zenon_Hfe zenon_Hdd zenon_H234 zenon_He4 zenon_H13f zenon_H65 zenon_H7f zenon_H1f1 zenon_H163 zenon_H72 zenon_H192 zenon_H6e zenon_H162 zenon_H1bb zenon_H129 zenon_H20f zenon_H38 zenon_H1b4 zenon_H283 zenon_Ha0 zenon_H1cf zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H77 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H18a zenon_H183 zenon_H191 zenon_Hf0 zenon_H10c zenon_H9d zenon_H109 zenon_H195 zenon_H5c.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.97/22.12 apply (zenon_L68_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.97/22.12 apply (zenon_L62_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.97/22.12 apply (zenon_L1269_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.97/22.12 apply (zenon_L30_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.97/22.12 apply (zenon_L284_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.97/22.12 apply (zenon_L73_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.97/22.12 apply (zenon_L74_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.97/22.12 exact (zenon_H191 zenon_H110).
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.97/22.12 apply (zenon_L1255_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.97/22.12 apply (zenon_L1128_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.97/22.12 apply (zenon_L227_); trivial.
% 21.97/22.12 apply (zenon_L1273_); trivial.
% 21.97/22.12 apply (zenon_L149_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1335_ *)
% 21.97/22.12 assert (zenon_L1336_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H61 zenon_H13f zenon_H65 zenon_H77 zenon_H1f1 zenon_H48 zenon_H14c zenon_H195.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 21.97/22.12 apply (zenon_L1268_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1336_ *)
% 21.97/22.12 assert (zenon_L1337_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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 (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e3) (e3)) = (e0))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H141 zenon_H5c zenon_H109 zenon_H9d zenon_H10c zenon_Hf0 zenon_H191 zenon_H183 zenon_H18a zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H162 zenon_H6e zenon_H192 zenon_H72 zenon_H163 zenon_H7f zenon_He4 zenon_H234 zenon_Hfe zenon_H140 zenon_H195 zenon_H48 zenon_H1f1 zenon_H77 zenon_H65 zenon_H13f zenon_H61 zenon_H196 zenon_H38.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.12 apply (zenon_L27_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.12 apply (zenon_L1335_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.12 apply (zenon_L1336_); trivial.
% 21.97/22.12 apply (zenon_L1162_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1337_ *)
% 21.97/22.12 assert (zenon_L1338_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H1c3 zenon_H68 zenon_H38 zenon_H77 zenon_H5c zenon_H189 zenon_H6d zenon_H102 zenon_H18a.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.97/22.12 apply (zenon_L165_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.97/22.12 apply (zenon_L206_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.97/22.12 apply (zenon_L439_); trivial.
% 21.97/22.12 apply (zenon_L268_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1338_ *)
% 21.97/22.12 assert (zenon_L1339_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (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 (e0) (e1)) = (e2)) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 21.97/22.12 do 0 intro. intros zenon_Hb2 zenon_Hc4 zenon_H1a3 zenon_H10c zenon_H11a zenon_H33 zenon_H121 zenon_H77 zenon_H5c zenon_H18a zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H38 zenon_H20f zenon_H129 zenon_H1bb zenon_H6e zenon_H25 zenon_Hfa zenon_Ha9 zenon_H102.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.97/22.12 apply (zenon_L538_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.97/22.12 apply (zenon_L116_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.97/22.12 apply (zenon_L171_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.97/22.12 apply (zenon_L226_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.12 apply (zenon_L43_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.12 apply (zenon_L1338_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.12 apply (zenon_L87_); trivial.
% 21.97/22.12 apply (zenon_L1236_); trivial.
% 21.97/22.12 apply (zenon_L206_); trivial.
% 21.97/22.12 apply (zenon_L91_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1339_ *)
% 21.97/22.12 assert (zenon_L1340_ : (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H68 zenon_Ha9 zenon_H125 zenon_H61 zenon_H13f zenon_H1f1 zenon_H140 zenon_H234 zenon_He4 zenon_H162 zenon_H183 zenon_H191 zenon_Hf0 zenon_H109 zenon_H141 zenon_Hb2 zenon_H77 zenon_H18a zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H25 zenon_Hfa zenon_H7f zenon_H192 zenon_Ha0 zenon_H38 zenon_Hb6 zenon_H10c zenon_H173 zenon_H121 zenon_H33 zenon_H11a zenon_H1a3 zenon_Hc4 zenon_H13a zenon_H5c zenon_Hf5.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.97/22.12 apply (zenon_L251_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.97/22.12 apply (zenon_L251_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.97/22.12 apply (zenon_L171_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.97/22.12 apply (zenon_L253_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.97/22.12 apply (zenon_L110_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 21.97/22.12 apply (zenon_L253_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 21.97/22.12 apply (zenon_L116_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 21.97/22.12 apply (zenon_L43_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.97/22.12 apply (zenon_L171_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.97/22.12 apply (zenon_L226_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.97/22.12 apply (zenon_L1337_); trivial.
% 21.97/22.12 apply (zenon_L206_); trivial.
% 21.97/22.12 apply (zenon_L156_); trivial.
% 21.97/22.12 apply (zenon_L1339_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.97/22.12 apply (zenon_L1249_); trivial.
% 21.97/22.12 apply (zenon_L165_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.97/22.12 apply (zenon_L146_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.97/22.12 apply (zenon_L1252_); trivial.
% 21.97/22.12 apply (zenon_L192_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1340_ *)
% 21.97/22.12 assert (zenon_L1341_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H82 zenon_H68 zenon_H38 zenon_H77 zenon_H153 zenon_H13a zenon_Ha9 zenon_Hb6 zenon_Ha0 zenon_H139 zenon_H5d zenon_H61 zenon_H48 zenon_H2d zenon_H7d zenon_H7f.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.97/22.12 apply (zenon_L1284_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.97/22.12 apply (zenon_L18_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.97/22.12 apply (zenon_L217_); trivial.
% 21.97/22.12 apply (zenon_L31_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1341_ *)
% 21.97/22.12 assert (zenon_L1342_ : (~((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H1a3 zenon_H11a zenon_H33 zenon_H121 zenon_H77 zenon_H5c zenon_H140 zenon_H68 zenon_H195 zenon_H48 zenon_H1f1 zenon_H65 zenon_H13f zenon_H61 zenon_Hbc zenon_H34 zenon_H173 zenon_H6e zenon_H1cf zenon_Ha9 zenon_H10c zenon_H47 zenon_Hb6 zenon_H13a zenon_H4e zenon_H1ef zenon_H1c3 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1cb zenon_Hfa zenon_H38 zenon_Ha0.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.97/22.12 apply (zenon_L538_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.97/22.12 apply (zenon_L120_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.97/22.12 apply (zenon_L1266_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.97/22.12 apply (zenon_L226_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.97/22.12 apply (zenon_L68_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.97/22.12 apply (zenon_L62_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.97/22.12 apply (zenon_L1336_); trivial.
% 21.97/22.12 apply (zenon_L328_); trivial.
% 21.97/22.12 apply (zenon_L206_); trivial.
% 21.97/22.12 apply (zenon_L156_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1342_ *)
% 21.97/22.12 assert (zenon_L1343_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H19a zenon_H1b7 zenon_H7f zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H34 zenon_H18a.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 21.97/22.12 apply (zenon_L1276_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 21.97/22.12 apply (zenon_L157_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 21.97/22.12 apply (zenon_L158_); trivial.
% 21.97/22.12 apply (zenon_L416_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1343_ *)
% 21.97/22.12 assert (zenon_L1344_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (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 (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H16a zenon_Ha0 zenon_Hfa zenon_H1ef zenon_H4e zenon_H13a zenon_Hb6 zenon_H47 zenon_H10c zenon_Ha9 zenon_H1cf zenon_H173 zenon_Hbc zenon_H61 zenon_H13f zenon_H1f1 zenon_H195 zenon_H140 zenon_H121 zenon_H33 zenon_H11a zenon_Hdd zenon_H1a3 zenon_H1cb zenon_H1cd zenon_H105 zenon_H231 zenon_H104 zenon_H192 zenon_H6e zenon_H1c3 zenon_H38 zenon_H1c2 zenon_H183 zenon_H19a zenon_H1b7 zenon_H7f zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H5c zenon_H48 zenon_H68 zenon_H34 zenon_H18a.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.12 apply (zenon_L1342_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.12 apply (zenon_L54_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.12 apply (zenon_L1275_); trivial.
% 21.97/22.12 apply (zenon_L1343_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1344_ *)
% 21.97/22.12 assert (zenon_L1345_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H201 zenon_H191 zenon_H1a2 zenon_Hf3 zenon_H18a zenon_H34 zenon_H68 zenon_H48 zenon_H5c zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H1b7 zenon_H19a zenon_H183 zenon_H1c2 zenon_H38 zenon_H1c3 zenon_H6e zenon_H192 zenon_H104 zenon_H231 zenon_H1cb zenon_H1a3 zenon_Hdd zenon_H11a zenon_H33 zenon_H121 zenon_H140 zenon_H195 zenon_H1f1 zenon_H13f zenon_H61 zenon_Hbc zenon_H173 zenon_H1cf zenon_Ha9 zenon_H10c zenon_H47 zenon_Hb6 zenon_H13a zenon_H4e zenon_H1ef zenon_Hfa zenon_Ha0 zenon_H16a zenon_H1cd zenon_H7f.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.12 apply (zenon_L1265_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.12 apply (zenon_L117_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.12 apply (zenon_L1344_); trivial.
% 21.97/22.12 apply (zenon_L331_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1345_ *)
% 21.97/22.12 assert (zenon_L1346_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H15d zenon_H68 zenon_Ha9 zenon_H141 zenon_H109 zenon_H34 zenon_Hbc zenon_H191 zenon_H1a2 zenon_H18a zenon_H18d zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1b7 zenon_H19a zenon_H183 zenon_H1c2 zenon_H1c3 zenon_H104 zenon_H231 zenon_H1cb zenon_H140 zenon_H195 zenon_H1f1 zenon_H13f zenon_H61 zenon_H1cf zenon_H4e zenon_H1ef zenon_Hfa zenon_H16a zenon_H26d zenon_H1cd zenon_H48 zenon_H186 zenon_H139 zenon_H77 zenon_H201 zenon_H196 zenon_H7f zenon_H192 zenon_Ha0 zenon_H38 zenon_Hb6 zenon_H10c zenon_H173 zenon_H121 zenon_H33 zenon_H11a zenon_H1a3 zenon_Hc4 zenon_H13a zenon_H5c zenon_Hf5.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.97/22.12 apply (zenon_L251_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.12 apply (zenon_L359_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.97/22.12 apply (zenon_L756_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.97/22.12 apply (zenon_L1345_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.97/22.12 apply (zenon_L1285_); trivial.
% 21.97/22.12 apply (zenon_L328_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.12 apply (zenon_L1285_); trivial.
% 21.97/22.12 apply (zenon_L1162_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.97/22.12 apply (zenon_L1249_); trivial.
% 21.97/22.12 apply (zenon_L165_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.97/22.12 apply (zenon_L146_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.97/22.12 apply (zenon_L1252_); trivial.
% 21.97/22.12 apply (zenon_L192_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1346_ *)
% 21.97/22.12 assert (zenon_L1347_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (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) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H1fe zenon_Hb2 zenon_H162 zenon_He4 zenon_H234 zenon_H125 zenon_H82 zenon_H5d zenon_H7d zenon_Hf0 zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H1fb zenon_Hcc zenon_H282 zenon_Heb zenon_H117 zenon_H236 zenon_H189 zenon_H27e zenon_H25b zenon_H1c6 zenon_H13c zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H1ec zenon_H73 zenon_H131 zenon_H163 zenon_H283 zenon_H15d zenon_H68 zenon_Ha9 zenon_H141 zenon_H109 zenon_Hbc zenon_H191 zenon_H1a2 zenon_H18a zenon_H18d zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1b7 zenon_H19a zenon_H183 zenon_H1c2 zenon_H1c3 zenon_H104 zenon_H231 zenon_H1cb zenon_H140 zenon_H195 zenon_H1f1 zenon_H13f zenon_H61 zenon_H1cf zenon_H4e zenon_H1ef zenon_Hfa zenon_H16a zenon_H26d zenon_H1cd zenon_H48 zenon_H186 zenon_H139 zenon_H77 zenon_H201 zenon_H196 zenon_H7f zenon_H192 zenon_Ha0 zenon_H38 zenon_Hb6 zenon_H10c zenon_H173 zenon_H121 zenon_H33 zenon_H11a zenon_H1a3 zenon_Hc4 zenon_H13a zenon_H5c zenon_Hf5.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.97/22.12 apply (zenon_L1334_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.97/22.12 apply (zenon_L1340_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.97/22.12 apply (zenon_L251_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.97/22.12 apply (zenon_L1264_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.97/22.12 apply (zenon_L1249_); trivial.
% 21.97/22.12 apply (zenon_L165_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.97/22.12 apply (zenon_L146_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.97/22.12 apply (zenon_L1341_); trivial.
% 21.97/22.12 apply (zenon_L246_); trivial.
% 21.97/22.12 apply (zenon_L1346_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1347_ *)
% 21.97/22.12 assert (zenon_L1348_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H23b zenon_H173 zenon_H10c zenon_Ha9 zenon_H66 zenon_Ha0 zenon_H13a zenon_H38.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 21.97/22.12 exact (zenon_H238 zenon_H38).
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.97/22.12 exact (zenon_Ha4 zenon_H9f).
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.97/22.12 apply (zenon_L120_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.97/22.12 apply (zenon_L193_); trivial.
% 21.97/22.12 apply (zenon_L156_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1348_ *)
% 21.97/22.12 assert (zenon_L1349_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H63 zenon_H173 zenon_H10c zenon_Ha9 zenon_Ha0 zenon_H13a zenon_H38.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 21.97/22.12 apply (zenon_L1348_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1349_ *)
% 21.97/22.12 assert (zenon_L1350_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H15c zenon_H10c zenon_H5c.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 21.97/22.12 exact (zenon_Hec zenon_H5c).
% 21.97/22.12 exact (zenon_H159 zenon_H10c).
% 21.97/22.12 (* end of lemma zenon_L1350_ *)
% 21.97/22.12 assert (zenon_L1351_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H87 zenon_H10c zenon_H5c.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 21.97/22.12 apply (zenon_L1350_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1351_ *)
% 21.97/22.12 assert (zenon_L1352_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H99 zenon_H1c3 zenon_H68 zenon_H77 zenon_Hc4 zenon_H129 zenon_H5c zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H1cb.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 21.97/22.12 apply (zenon_L1260_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1352_ *)
% 21.97/22.12 assert (zenon_L1353_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H9b zenon_H38 zenon_Ha0.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 21.97/22.12 apply (zenon_L156_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1353_ *)
% 21.97/22.12 assert (zenon_L1354_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 21.97/22.12 do 0 intro. intros zenon_Hb1 zenon_H10c zenon_H11a.
% 21.97/22.12 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 21.97/22.12 apply (zenon_L79_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1354_ *)
% 21.97/22.12 assert (zenon_L1355_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H13a zenon_Ha0 zenon_H1e zenon_H173 zenon_H10c zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.97/22.12 apply (zenon_L41_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.97/22.12 apply (zenon_L120_); trivial.
% 21.97/22.12 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.97/22.12 apply (zenon_L178_); trivial.
% 21.97/22.12 apply (zenon_L154_); trivial.
% 21.97/22.12 (* end of lemma zenon_L1355_ *)
% 21.97/22.12 assert (zenon_L1356_ : ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 21.97/22.12 do 0 intro. intros zenon_H54 zenon_H1ba zenon_H8b zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H38 zenon_H20f zenon_H5c zenon_H129 zenon_H1bb.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.13 apply (zenon_L30_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.13 exact (zenon_H1ba zenon_H6d).
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.13 exact (zenon_H8b zenon_H8a).
% 21.97/22.13 apply (zenon_L1236_); trivial.
% 21.97/22.13 (* end of lemma zenon_L1356_ *)
% 21.97/22.13 assert (zenon_L1357_ : (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 21.97/22.13 do 0 intro. intros zenon_H7b zenon_H53 zenon_H8b zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H38 zenon_H20f zenon_H5c zenon_H129 zenon_H1bb.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.13 exact (zenon_H7b zenon_H65).
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.13 apply (zenon_L56_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.13 exact (zenon_H8b zenon_H8a).
% 21.97/22.13 apply (zenon_L1236_); trivial.
% 21.97/22.13 (* end of lemma zenon_L1357_ *)
% 21.97/22.13 assert (zenon_L1358_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.97/22.13 do 0 intro. intros zenon_H13f zenon_H1ba zenon_H1bb zenon_H129 zenon_H20f zenon_H38 zenon_H1b4 zenon_H283 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H77 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H8b zenon_H7b zenon_H48 zenon_H14c zenon_H195 zenon_H5c.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.97/22.13 apply (zenon_L1356_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.97/22.13 apply (zenon_L1357_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.97/22.13 apply (zenon_L255_); trivial.
% 21.97/22.13 apply (zenon_L149_); trivial.
% 21.97/22.13 (* end of lemma zenon_L1358_ *)
% 21.97/22.13 assert (zenon_L1359_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (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) (e1)) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 21.97/22.13 do 0 intro. intros zenon_H140 zenon_H25 zenon_H5c zenon_H195 zenon_H48 zenon_H7b zenon_H8b zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H38 zenon_H20f zenon_H129 zenon_H1bb zenon_H1ba zenon_H13f zenon_Ha0 zenon_Hbb.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.97/22.13 apply (zenon_L756_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.97/22.13 apply (zenon_L274_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.97/22.13 apply (zenon_L1358_); trivial.
% 21.97/22.13 apply (zenon_L80_); trivial.
% 21.97/22.13 (* end of lemma zenon_L1359_ *)
% 21.97/22.13 assert (zenon_L1360_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.97/22.13 do 0 intro. intros zenon_H16a zenon_H68 zenon_H2d zenon_H1ba zenon_H8b zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H5c zenon_H129 zenon_Hc4.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.13 apply (zenon_L27_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.13 exact (zenon_H1ba zenon_H6d).
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.13 exact (zenon_H8b zenon_H8a).
% 21.97/22.13 apply (zenon_L413_); trivial.
% 21.97/22.13 (* end of lemma zenon_L1360_ *)
% 21.97/22.13 assert (zenon_L1361_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 21.97/22.13 do 0 intro. intros zenon_H13a zenon_Hb6 zenon_H47 zenon_H173 zenon_H10c zenon_H177 zenon_Hbb zenon_H38 zenon_Ha0.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.97/22.13 apply (zenon_L253_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.97/22.13 apply (zenon_L120_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.97/22.13 apply (zenon_L178_); trivial.
% 21.97/22.13 apply (zenon_L156_); trivial.
% 21.97/22.13 (* end of lemma zenon_L1361_ *)
% 21.97/22.13 assert (zenon_L1362_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 21.97/22.13 do 0 intro. intros zenon_H13a zenon_Hb6 zenon_H47 zenon_Ha9 zenon_H6e zenon_H177 zenon_Hbb zenon_H38 zenon_Ha0.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.97/22.13 apply (zenon_L253_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.97/22.13 apply (zenon_L110_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.97/22.13 apply (zenon_L178_); trivial.
% 21.97/22.13 apply (zenon_L156_); trivial.
% 21.97/22.13 (* end of lemma zenon_L1362_ *)
% 21.97/22.13 assert (zenon_L1363_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 21.97/22.13 do 0 intro. intros zenon_H139 zenon_H77 zenon_Hbb zenon_H177 zenon_Ha0 zenon_Ha9 zenon_H3d zenon_Hb6 zenon_H47 zenon_H13a zenon_H38 zenon_H68.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.97/22.13 apply (zenon_L251_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.97/22.13 apply (zenon_L1362_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.97/22.13 apply (zenon_L1148_); trivial.
% 21.97/22.13 apply (zenon_L165_); trivial.
% 21.97/22.13 (* end of lemma zenon_L1363_ *)
% 21.97/22.13 assert (zenon_L1364_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (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 (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.97/22.13 do 0 intro. intros zenon_H82 zenon_H3d zenon_H177 zenon_Hbb zenon_H1bb zenon_H129 zenon_H5c zenon_H20f zenon_H38 zenon_H1b4 zenon_H283 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H77 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H8b zenon_H1ba zenon_H34 zenon_H48.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.97/22.13 apply (zenon_L1363_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.97/22.13 apply (zenon_L17_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.97/22.13 apply (zenon_L1356_); trivial.
% 21.97/22.13 apply (zenon_L456_); trivial.
% 21.97/22.13 (* end of lemma zenon_L1364_ *)
% 21.97/22.13 assert (zenon_L1365_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 21.97/22.13 do 0 intro. intros zenon_H16a zenon_H7b zenon_H6f zenon_H6e zenon_H8b zenon_H17c zenon_H129.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.13 exact (zenon_H7b zenon_H65).
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.13 apply (zenon_L21_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.13 exact (zenon_H8b zenon_H8a).
% 21.97/22.13 apply (zenon_L126_); trivial.
% 21.97/22.13 (* end of lemma zenon_L1365_ *)
% 21.97/22.13 assert (zenon_L1366_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 21.97/22.13 do 0 intro. intros zenon_He4 zenon_H1d8 zenon_H153 zenon_H234 zenon_H55 zenon_H54 zenon_H183 zenon_H34 zenon_H1cb zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H5c zenon_Hc4 zenon_H77 zenon_H68 zenon_H1c3 zenon_H288 zenon_He7 zenon_H192 zenon_H129 zenon_H8b zenon_H6f zenon_H7b zenon_H16a zenon_H10c zenon_H173.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.97/22.13 apply (zenon_L738_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.97/22.13 apply (zenon_L484_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.97/22.13 apply (zenon_L15_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.97/22.13 apply (zenon_L291_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.97/22.13 apply (zenon_L169_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.97/22.13 apply (zenon_L1260_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H2a | zenon_intro zenon_H289 ].
% 21.97/22.13 apply (zenon_L272_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H3d | zenon_intro zenon_H28a ].
% 21.97/22.13 apply (zenon_L146_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H6e | zenon_intro zenon_Hdb ].
% 21.97/22.13 apply (zenon_L1365_); trivial.
% 21.97/22.13 apply (zenon_L120_); trivial.
% 21.97/22.13 (* end of lemma zenon_L1366_ *)
% 21.97/22.13 assert (zenon_L1367_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.97/22.13 do 0 intro. intros zenon_H1cf zenon_H1d5 zenon_H67 zenon_H4e zenon_H76 zenon_H8b zenon_H1c3 zenon_H68 zenon_H77 zenon_Hc4 zenon_H129 zenon_H5c zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H1cb.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.97/22.13 apply (zenon_L252_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.97/22.13 apply (zenon_L83_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.97/22.13 exact (zenon_H8b zenon_H8a).
% 21.97/22.13 apply (zenon_L1260_); trivial.
% 21.97/22.13 (* end of lemma zenon_L1367_ *)
% 21.97/22.13 assert (zenon_L1368_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.97/22.13 do 0 intro. intros zenon_He4 zenon_H1d8 zenon_H153 zenon_H234 zenon_H55 zenon_H54 zenon_Hfa zenon_H1cb zenon_H38 zenon_H1c3 zenon_H4e zenon_H67 zenon_H1d5 zenon_H1cf zenon_H18a zenon_H34 zenon_H48 zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1b7 zenon_H19a zenon_H8b zenon_Hf0 zenon_H7b zenon_H16a zenon_Hf3 zenon_H68 zenon_H5c zenon_H77.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.97/22.13 apply (zenon_L738_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.97/22.13 apply (zenon_L484_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.97/22.13 apply (zenon_L15_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.97/22.13 apply (zenon_L1367_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.13 exact (zenon_H7b zenon_H65).
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.13 apply (zenon_L61_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.13 exact (zenon_H8b zenon_H8a).
% 21.97/22.13 apply (zenon_L1343_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.97/22.13 apply (zenon_L62_); trivial.
% 21.97/22.13 apply (zenon_L206_); trivial.
% 21.97/22.13 (* end of lemma zenon_L1368_ *)
% 21.97/22.13 assert (zenon_L1369_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.97/22.13 do 0 intro. intros zenon_H13b zenon_H179 zenon_H173 zenon_H10c zenon_H6f zenon_H192 zenon_H288 zenon_H183 zenon_H77 zenon_H68 zenon_H16a zenon_H7b zenon_Hf0 zenon_H8b zenon_H19a zenon_H1b7 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H34 zenon_H18a zenon_H1cf zenon_H1d5 zenon_H67 zenon_H4e zenon_H1c3 zenon_H38 zenon_H1cb zenon_Hfa zenon_H54 zenon_H55 zenon_H234 zenon_H153 zenon_H1d8 zenon_He4 zenon_H48 zenon_H5c.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.97/22.13 apply (zenon_L297_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.97/22.13 apply (zenon_L1366_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.97/22.13 apply (zenon_L1368_); trivial.
% 21.97/22.13 apply (zenon_L157_); trivial.
% 21.97/22.13 (* end of lemma zenon_L1369_ *)
% 21.97/22.13 assert (zenon_L1370_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.97/22.13 do 0 intro. intros zenon_He4 zenon_H1d8 zenon_H153 zenon_H234 zenon_H55 zenon_H54 zenon_H16a zenon_H7b zenon_H6f zenon_H6e zenon_H8b zenon_H19a zenon_H1b7 zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H5c zenon_H48 zenon_H68 zenon_H34 zenon_H18a.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.97/22.13 apply (zenon_L738_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.97/22.13 apply (zenon_L484_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.97/22.13 apply (zenon_L15_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.13 exact (zenon_H7b zenon_H65).
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.13 apply (zenon_L21_); trivial.
% 21.97/22.13 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.13 exact (zenon_H8b zenon_H8a).
% 21.97/22.13 apply (zenon_L1343_); trivial.
% 21.97/22.13 (* end of lemma zenon_L1370_ *)
% 21.97/22.13 assert (zenon_L1371_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.97/22.14 do 0 intro. intros zenon_H82 zenon_H13a zenon_Ha9 zenon_Hb6 zenon_Ha0 zenon_H5d zenon_H68 zenon_H38 zenon_H77 zenon_H153 zenon_He4 zenon_H1d8 zenon_H234 zenon_H55 zenon_H16a zenon_H7b zenon_H6f zenon_H8b zenon_H19a zenon_H1b7 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H5c zenon_H18a zenon_H13b zenon_H179 zenon_H173 zenon_H10c zenon_H192 zenon_H288 zenon_H183 zenon_Hf0 zenon_H1cf zenon_H1d5 zenon_H4e zenon_H1c3 zenon_H1cb zenon_Hfa zenon_H139 zenon_H34 zenon_H48.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.97/22.14 apply (zenon_L1284_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.97/22.14 apply (zenon_L17_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.97/22.14 apply (zenon_L1369_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.97/22.14 apply (zenon_L1370_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.97/22.14 apply (zenon_L94_); trivial.
% 21.97/22.14 apply (zenon_L165_); trivial.
% 21.97/22.14 apply (zenon_L456_); trivial.
% 21.97/22.14 (* end of lemma zenon_L1371_ *)
% 21.97/22.14 assert (zenon_L1372_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e2) (e3)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (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 (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.97/22.14 do 0 intro. intros zenon_H1fe zenon_Hb9 zenon_H13f zenon_H140 zenon_H1ba zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H1fb zenon_H26d zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H196 zenon_H13c zenon_H1ef zenon_H266 zenon_H190 zenon_H13e zenon_H158 zenon_H156 zenon_H1ec zenon_H73 zenon_H131 zenon_H163 zenon_H283 zenon_Hbb zenon_H177 zenon_H139 zenon_Hfa zenon_H1cb zenon_H1c3 zenon_H4e zenon_H1d5 zenon_H1cf zenon_Hf0 zenon_H183 zenon_H288 zenon_H192 zenon_H10c zenon_H173 zenon_H179 zenon_H13b zenon_H18a zenon_H5c zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1b7 zenon_H19a zenon_H8b zenon_H6f zenon_H7b zenon_H16a zenon_H55 zenon_H234 zenon_H1d8 zenon_He4 zenon_H77 zenon_H68 zenon_H5d zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_H13a zenon_H82 zenon_H38 zenon_H48.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.97/22.14 apply (zenon_L1355_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.97/22.14 apply (zenon_L1359_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.97/22.14 apply (zenon_L1360_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.97/22.14 apply (zenon_L1361_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.97/22.14 apply (zenon_L1364_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.97/22.14 apply (zenon_L1371_); trivial.
% 21.97/22.14 apply (zenon_L246_); trivial.
% 21.97/22.14 (* end of lemma zenon_L1372_ *)
% 21.97/22.14 assert (zenon_L1373_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.97/22.14 do 0 intro. intros zenon_H16a zenon_H7b zenon_Hf0 zenon_Hef zenon_H8b zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H5c zenon_H129 zenon_Hc4.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.14 exact (zenon_H7b zenon_H65).
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.14 apply (zenon_L61_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.14 exact (zenon_H8b zenon_H8a).
% 21.97/22.14 apply (zenon_L413_); trivial.
% 21.97/22.14 (* end of lemma zenon_L1373_ *)
% 21.97/22.14 assert (zenon_L1374_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.97/22.14 do 0 intro. intros zenon_H16a zenon_H7b zenon_H6f zenon_H6e zenon_H8b zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H7f zenon_H1b7.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.14 exact (zenon_H7b zenon_H65).
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.14 apply (zenon_L21_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.14 exact (zenon_H8b zenon_H8a).
% 21.97/22.14 apply (zenon_L1276_); trivial.
% 21.97/22.14 (* end of lemma zenon_L1374_ *)
% 21.97/22.14 assert (zenon_L1375_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.97/22.14 do 0 intro. intros zenon_H212 zenon_He0 zenon_H7f zenon_H7d zenon_H18a zenon_H17c zenon_Hbb zenon_Hbc.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H34 | zenon_intro zenon_H213 ].
% 21.97/22.14 apply (zenon_L802_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H7e | zenon_intro zenon_H214 ].
% 21.97/22.14 apply (zenon_L31_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H102 | zenon_intro zenon_H9d ].
% 21.97/22.14 apply (zenon_L268_); trivial.
% 21.97/22.14 apply (zenon_L48_); trivial.
% 21.97/22.14 (* end of lemma zenon_L1375_ *)
% 21.97/22.14 assert (zenon_L1376_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 21.97/22.14 do 0 intro. intros zenon_H183 zenon_H6d zenon_H189 zenon_H5c zenon_H38 zenon_H68 zenon_H1c3 zenon_H77 zenon_H72 zenon_H163 zenon_H212 zenon_He0 zenon_H7f zenon_H7d zenon_H18a zenon_Hbb zenon_Hbc.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.97/22.14 apply (zenon_L1338_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.97/22.14 apply (zenon_L169_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.97/22.14 apply (zenon_L227_); trivial.
% 21.97/22.14 apply (zenon_L1375_); trivial.
% 21.97/22.14 (* end of lemma zenon_L1376_ *)
% 21.97/22.14 assert (zenon_L1377_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (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) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (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 (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.97/22.14 do 0 intro. intros zenon_H164 zenon_H48 zenon_He4 zenon_H1d8 zenon_H153 zenon_H234 zenon_H55 zenon_H54 zenon_Hfa zenon_H1cb zenon_H4e zenon_H67 zenon_H1d5 zenon_H1cf zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1bb zenon_H1b7 zenon_H19a zenon_H8b zenon_Hf0 zenon_H7b zenon_H16a zenon_H288 zenon_H192 zenon_H6f zenon_H10c zenon_H173 zenon_H179 zenon_H13b zenon_Hbc zenon_H18a zenon_H7d zenon_H7f zenon_H212 zenon_H163 zenon_H72 zenon_H77 zenon_H1c3 zenon_H68 zenon_H5c zenon_H189 zenon_H6d zenon_H183 zenon_Hbb zenon_Ha0 zenon_H1b4 zenon_H38.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 21.97/22.14 apply (zenon_L1369_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 21.97/22.14 apply (zenon_L1376_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 21.97/22.14 apply (zenon_L80_); trivial.
% 21.97/22.14 apply (zenon_L411_); trivial.
% 21.97/22.14 (* end of lemma zenon_L1377_ *)
% 21.97/22.14 assert (zenon_L1378_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (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) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (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 (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.97/22.14 do 0 intro. intros zenon_H164 zenon_H48 zenon_He4 zenon_H1d8 zenon_H153 zenon_H234 zenon_H55 zenon_H54 zenon_Hfa zenon_H1cb zenon_H4e zenon_H67 zenon_H1d5 zenon_H1cf zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1bb zenon_H1b7 zenon_H19a zenon_H8b zenon_Hf0 zenon_H7b zenon_H16a zenon_H288 zenon_H192 zenon_H6f zenon_H10c zenon_H173 zenon_H179 zenon_H13b zenon_Hbc zenon_H18a zenon_H7d zenon_H212 zenon_H163 zenon_H1c3 zenon_H68 zenon_H189 zenon_H183 zenon_Hbb zenon_Ha0 zenon_H1b4 zenon_H38 zenon_H156 zenon_H1a8 zenon_H5c zenon_H77.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.97/22.14 apply (zenon_L738_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.97/22.14 apply (zenon_L484_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.97/22.14 apply (zenon_L15_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.97/22.14 apply (zenon_L1367_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.97/22.14 apply (zenon_L1373_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.97/22.14 apply (zenon_L1374_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.97/22.14 apply (zenon_L100_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.97/22.14 apply (zenon_L1377_); trivial.
% 21.97/22.14 apply (zenon_L169_); trivial.
% 21.97/22.14 apply (zenon_L206_); trivial.
% 21.97/22.14 (* end of lemma zenon_L1378_ *)
% 21.97/22.14 assert (zenon_L1379_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> ((op (e1) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (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) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> False).
% 21.97/22.14 do 0 intro. intros zenon_H13f zenon_Hbb zenon_H72 zenon_H164 zenon_He4 zenon_H1d8 zenon_H234 zenon_Hfa zenon_H67 zenon_H1d5 zenon_Hc4 zenon_Hf0 zenon_H288 zenon_H192 zenon_H10c zenon_H179 zenon_H13b zenon_Hbc zenon_H18a zenon_H7d zenon_H212 zenon_H183 zenon_H1a8 zenon_H201 zenon_H1bb zenon_H129 zenon_H5c zenon_H20f zenon_H38 zenon_H1b4 zenon_H283 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H77 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H8b zenon_H7b zenon_H1bf zenon_Hb6 zenon_Hb9.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.14 apply (zenon_L1378_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.14 apply (zenon_L59_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.14 exact (zenon_H1bf zenon_H105).
% 21.97/22.14 apply (zenon_L363_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.97/22.14 apply (zenon_L1357_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.97/22.14 exact (zenon_H1bf zenon_H105).
% 21.97/22.14 apply (zenon_L182_); trivial.
% 21.97/22.14 (* end of lemma zenon_L1379_ *)
% 21.97/22.14 assert (zenon_L1380_ : ((op (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (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 (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.97/22.14 do 0 intro. intros zenon_Hb9 zenon_Hb6 zenon_H1bf zenon_H7b zenon_H8b zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H38 zenon_H20f zenon_H129 zenon_H1bb zenon_H201 zenon_H1a8 zenon_H183 zenon_H212 zenon_H7d zenon_H18a zenon_Hbc zenon_H13b zenon_H179 zenon_H10c zenon_H192 zenon_H288 zenon_Hf0 zenon_Hc4 zenon_H1d5 zenon_H67 zenon_Hfa zenon_H234 zenon_H1d8 zenon_He4 zenon_H164 zenon_Hbb zenon_H13f zenon_H5c zenon_H77.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.97/22.14 apply (zenon_L1367_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.97/22.14 apply (zenon_L1373_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.97/22.14 apply (zenon_L1379_); trivial.
% 21.97/22.14 apply (zenon_L206_); trivial.
% 21.97/22.14 (* end of lemma zenon_L1380_ *)
% 21.97/22.14 assert (zenon_L1381_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.97/22.14 do 0 intro. intros zenon_He4 zenon_H234 zenon_H5c zenon_H283 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H196 zenon_H1cb zenon_H1a2 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H16a zenon_H7b zenon_H6f zenon_H6e zenon_H8b zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1b7.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.97/22.14 apply (zenon_L214_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.97/22.14 apply (zenon_L484_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.97/22.14 apply (zenon_L1357_); trivial.
% 21.97/22.14 apply (zenon_L1374_); trivial.
% 21.97/22.14 (* end of lemma zenon_L1381_ *)
% 21.97/22.14 assert (zenon_L1382_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 21.97/22.14 do 0 intro. intros zenon_H201 zenon_H66 zenon_H77 zenon_H186 zenon_H5c zenon_H1bf zenon_Hb6 zenon_Hbb.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.14 apply (zenon_L94_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.14 apply (zenon_L138_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.14 exact (zenon_H1bf zenon_H105).
% 21.97/22.14 apply (zenon_L363_); trivial.
% 21.97/22.14 (* end of lemma zenon_L1382_ *)
% 21.97/22.14 assert (zenon_L1383_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (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 (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 21.97/22.14 do 0 intro. intros zenon_H13f zenon_H164 zenon_H1d8 zenon_Hfa zenon_H1d5 zenon_Hf0 zenon_H288 zenon_H192 zenon_H10c zenon_H179 zenon_H13b zenon_Hbc zenon_H18a zenon_H7d zenon_H212 zenon_H183 zenon_H1a8 zenon_Hb9 zenon_H1b7 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H8b zenon_H6f zenon_H7b zenon_H16a zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H1cb zenon_H196 zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H234 zenon_He4 zenon_Hbb zenon_Hb6 zenon_H1bf zenon_H5c zenon_H186 zenon_H77 zenon_H201 zenon_H38 zenon_H68.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.97/22.14 apply (zenon_L1380_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.97/22.14 apply (zenon_L1381_); trivial.
% 21.97/22.14 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.97/22.14 apply (zenon_L1382_); trivial.
% 21.97/22.14 apply (zenon_L165_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1383_ *)
% 21.97/22.15 assert (zenon_L1384_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H89 zenon_H201 zenon_Hb6 zenon_H1bf zenon_H1d8 zenon_H234 zenon_H55 zenon_H48 zenon_H1b7 zenon_H18d zenon_H6f zenon_H156 zenon_H164 zenon_Ha0 zenon_H189 zenon_H163 zenon_H212 zenon_Hbb zenon_Hbc zenon_H7d zenon_H179 zenon_He4 zenon_H288 zenon_H10c zenon_H192 zenon_H173 zenon_H183 zenon_H18a zenon_H19a zenon_Hfa zenon_H13b zenon_H1a8 zenon_H283 zenon_H131 zenon_H73 zenon_H1ec zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H190 zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H196 zenon_H1a2 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_Hb9 zenon_H13f zenon_H7b zenon_Hf0 zenon_H16a zenon_H1d5 zenon_H4e zenon_H1c3 zenon_H1cb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H1bb zenon_H5c zenon_H77 zenon_H38 zenon_H68 zenon_H1cf.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.97/22.15 apply (zenon_L1383_); trivial.
% 21.97/22.15 apply (zenon_L1383_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1384_ *)
% 21.97/22.15 assert (zenon_L1385_ : (((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)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H140 zenon_H26d zenon_H38 zenon_H25 zenon_H4e zenon_H13d zenon_Ha0 zenon_Hbb.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 21.97/22.15 apply (zenon_L756_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 21.97/22.15 apply (zenon_L274_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 21.97/22.15 exact (zenon_H13d zenon_H14c).
% 21.97/22.15 apply (zenon_L80_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1385_ *)
% 21.97/22.15 assert (zenon_L1386_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H16a zenon_H195 zenon_H111 zenon_H153 zenon_Hdd zenon_H13f zenon_H1ba zenon_H8b zenon_H19a zenon_H1b7 zenon_H7f zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H5c zenon_H48 zenon_H68 zenon_H34 zenon_H18a.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.15 apply (zenon_L150_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.15 exact (zenon_H1ba zenon_H6d).
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.15 exact (zenon_H8b zenon_H8a).
% 21.97/22.15 apply (zenon_L1343_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1386_ *)
% 21.97/22.15 assert (zenon_L1387_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H141 zenon_H54 zenon_H18a zenon_H34 zenon_H68 zenon_H48 zenon_H5c zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H7f zenon_H1b7 zenon_H19a zenon_H8b zenon_H1ba zenon_H13f zenon_H153 zenon_H111 zenon_H195 zenon_H16a zenon_H13d zenon_Ha0 zenon_Hb9.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.15 apply (zenon_L217_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.15 apply (zenon_L1386_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.15 exact (zenon_H13d zenon_H14c).
% 21.97/22.15 apply (zenon_L77_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1387_ *)
% 21.97/22.15 assert (zenon_L1388_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e1)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (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))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H1fe zenon_H140 zenon_H10c zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H189 zenon_H27e zenon_H186 zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H1cb zenon_H196 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_Hbb zenon_H177 zenon_H48 zenon_He4 zenon_H1d8 zenon_H234 zenon_H55 zenon_H141 zenon_H18a zenon_H68 zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H1b7 zenon_H19a zenon_H8b zenon_H1ba zenon_H13f zenon_H111 zenon_H195 zenon_H16a zenon_H13d zenon_Ha0 zenon_Hb9 zenon_H5d zenon_H139 zenon_Hb6 zenon_Ha9 zenon_H13a zenon_H38 zenon_H82 zenon_H5c zenon_Hf5.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 21.97/22.15 apply (zenon_L1355_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 21.97/22.15 apply (zenon_L1385_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 21.97/22.15 apply (zenon_L1360_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.97/22.15 apply (zenon_L1361_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.97/22.15 apply (zenon_L1364_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.97/22.15 apply (zenon_L1284_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.97/22.15 apply (zenon_L17_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.97/22.15 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.97/22.15 apply (zenon_L738_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.97/22.15 apply (zenon_L484_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.97/22.15 apply (zenon_L15_); trivial.
% 21.97/22.15 apply (zenon_L1387_); trivial.
% 21.97/22.15 apply (zenon_L456_); trivial.
% 21.97/22.15 apply (zenon_L192_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1388_ *)
% 21.97/22.15 assert (zenon_L1389_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H89 zenon_H13d zenon_H1bf zenon_H191 zenon_H13e.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.97/22.15 apply (zenon_L382_); trivial.
% 21.97/22.15 apply (zenon_L382_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1389_ *)
% 21.97/22.15 assert (zenon_L1390_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((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)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H2c zenon_H26a zenon_H23c zenon_H24e zenon_H12e zenon_H121 zenon_H33 zenon_H125 zenon_Hb2 zenon_H1f1 zenon_H109 zenon_H1cd zenon_H231 zenon_H104 zenon_H1c2 zenon_H11a zenon_H1a8 zenon_H7d zenon_Hbc zenon_H212 zenon_H164 zenon_H201 zenon_H1fe zenon_H82 zenon_H13b zenon_Hfa zenon_Hf0 zenon_H18a zenon_H1d5 zenon_H1d8 zenon_H234 zenon_H183 zenon_H192 zenon_H288 zenon_He4 zenon_H179 zenon_Hc4 zenon_H26d zenon_H38 zenon_H4e zenon_H13f zenon_H77 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_Ha9 zenon_H158 zenon_H156 zenon_H1ec zenon_H73 zenon_H131 zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H5c zenon_H129 zenon_H1bb zenon_H140 zenon_Ha0 zenon_H173 zenon_H10c zenon_H177 zenon_H196 zenon_H13a zenon_H191 zenon_H141 zenon_H111.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 21.97/22.15 apply (zenon_L2_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 21.97/22.15 apply (zenon_L1146_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 21.97/22.15 apply (zenon_L1147_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 21.97/22.15 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 21.97/22.15 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 21.97/22.15 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.97/22.15 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.97/22.15 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.97/22.15 apply (zenon_L1333_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 21.97/22.15 apply (zenon_L1206_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 21.97/22.15 apply (zenon_L11_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 21.97/22.15 apply (zenon_L1207_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 21.97/22.15 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 21.97/22.15 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 21.97/22.15 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 21.97/22.15 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 21.97/22.15 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.97/22.15 apply (zenon_L1250_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.97/22.15 apply (zenon_L146_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.97/22.15 apply (zenon_L1252_); trivial.
% 21.97/22.15 apply (zenon_L192_); trivial.
% 21.97/22.15 apply (zenon_L414_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.97/22.15 apply (zenon_L1347_); trivial.
% 21.97/22.15 apply (zenon_L414_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 21.97/22.15 apply (zenon_L1349_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 21.97/22.15 apply (zenon_L1351_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 21.97/22.15 apply (zenon_L37_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 21.97/22.15 apply (zenon_L1352_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 21.97/22.15 apply (zenon_L1353_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 21.97/22.15 apply (zenon_L1354_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 21.97/22.15 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 21.97/22.15 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 21.97/22.15 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 21.97/22.15 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 21.97/22.15 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.97/22.15 apply (zenon_L1372_); trivial.
% 21.97/22.15 apply (zenon_L1372_); trivial.
% 21.97/22.15 apply (zenon_L1384_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 21.97/22.15 apply (zenon_L1388_); trivial.
% 21.97/22.15 apply (zenon_L1388_); trivial.
% 21.97/22.15 apply (zenon_L1389_); trivial.
% 21.97/22.15 apply (zenon_L51_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1390_ *)
% 21.97/22.15 assert (zenon_L1391_ : ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (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 (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e3)) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H38 zenon_H1fb zenon_H26d zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H1c3 zenon_H139 zenon_H68 zenon_H173 zenon_Hb6 zenon_Ha9 zenon_H121 zenon_H177 zenon_H11a zenon_Ha0 zenon_H13a zenon_H77 zenon_H33 zenon_H48 zenon_H15d zenon_H1d5 zenon_H2c zenon_H1d8 zenon_H111 zenon_H26a zenon_H23c zenon_H82 zenon_H234 zenon_H141 zenon_H186 zenon_H1c2 zenon_H183 zenon_H1f1 zenon_H24e zenon_H1cd zenon_H7d zenon_H12e zenon_H192 zenon_H19a zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H5d zenon_Hcc zenon_H282 zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H18a zenon_H201 zenon_H109 zenon_H104 zenon_H231 zenon_He4 zenon_Hbc zenon_H140 zenon_Hfa zenon_Hf0 zenon_H13f zenon_H125 zenon_Hb2 zenon_H1fe zenon_H1a8 zenon_H212 zenon_H164 zenon_H13b zenon_H288 zenon_H179 zenon_H10c.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H159 | zenon_intro zenon_H5c ].
% 21.97/22.15 exact (zenon_H159 zenon_H10c).
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H191 | zenon_intro zenon_H93 ].
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 21.97/22.15 apply (zenon_L1390_); trivial.
% 21.97/22.15 apply (zenon_L1235_); trivial.
% 21.97/22.15 apply (zenon_L1236_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1391_ *)
% 21.97/22.15 assert (zenon_L1392_ : ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H54 zenon_Hf0 zenon_Hef zenon_H66 zenon_H111 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H38 zenon_H20f zenon_H5c zenon_H129 zenon_H1bb.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.15 apply (zenon_L30_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.15 apply (zenon_L61_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.15 apply (zenon_L258_); trivial.
% 21.97/22.15 apply (zenon_L1236_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1392_ *)
% 21.97/22.15 assert (zenon_L1393_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H141 zenon_H48 zenon_H68 zenon_H195 zenon_Ha5 zenon_Ha0 zenon_H6d zenon_Ha9 zenon_H54 zenon_Hb6 zenon_H117 zenon_H196 zenon_H38.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.15 apply (zenon_L217_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.15 apply (zenon_L54_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.15 apply (zenon_L1090_); trivial.
% 21.97/22.15 apply (zenon_L1162_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1393_ *)
% 21.97/22.15 assert (zenon_L1394_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H117 zenon_Ha0 zenon_H2d zenon_Ha9 zenon_H6d zenon_Hb6 zenon_H105 zenon_Ha5 zenon_H195.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.97/22.15 apply (zenon_L67_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.97/22.15 apply (zenon_L289_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.97/22.15 apply (zenon_L400_); trivial.
% 21.97/22.15 apply (zenon_L172_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1394_ *)
% 21.97/22.15 assert (zenon_L1395_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H13f zenon_H38 zenon_H196 zenon_H68 zenon_H48 zenon_H141 zenon_H77 zenon_Ha5 zenon_Hb6 zenon_H6d zenon_Ha9 zenon_H2d zenon_Ha0 zenon_H117 zenon_H195 zenon_H5c.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.97/22.15 apply (zenon_L1393_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.97/22.15 apply (zenon_L56_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.97/22.15 apply (zenon_L1394_); trivial.
% 21.97/22.15 apply (zenon_L149_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1395_ *)
% 21.97/22.15 assert (zenon_L1396_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H13f zenon_Ha5 zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H117 zenon_H6d zenon_H77 zenon_H48 zenon_H14c zenon_H195 zenon_H5c.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.97/22.15 apply (zenon_L1090_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.97/22.15 apply (zenon_L56_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.97/22.15 apply (zenon_L255_); trivial.
% 21.97/22.15 apply (zenon_L149_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1396_ *)
% 21.97/22.15 assert (zenon_L1397_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H141 zenon_H68 zenon_H5c zenon_H195 zenon_H48 zenon_H77 zenon_H6d zenon_H117 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_Ha5 zenon_H13f zenon_H196 zenon_H38.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.15 apply (zenon_L1395_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.15 apply (zenon_L54_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.15 apply (zenon_L1396_); trivial.
% 21.97/22.15 apply (zenon_L1162_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1397_ *)
% 21.97/22.15 assert (zenon_L1398_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H1a8 zenon_H3d zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H111 zenon_H66 zenon_Hf0 zenon_H54 zenon_H38 zenon_H196 zenon_H13f zenon_Ha5 zenon_Ha0 zenon_Hb6 zenon_H117 zenon_H77 zenon_H48 zenon_H195 zenon_H5c zenon_H68 zenon_H141 zenon_Ha9 zenon_Hac.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.97/22.15 apply (zenon_L214_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.97/22.15 apply (zenon_L1392_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.97/22.15 apply (zenon_L1397_); trivial.
% 21.97/22.15 apply (zenon_L371_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1398_ *)
% 21.97/22.15 assert (zenon_L1399_ : (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (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) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H179 zenon_H288 zenon_H13b zenon_H164 zenon_H212 zenon_H1fe zenon_Hb2 zenon_H125 zenon_Hfa zenon_H140 zenon_Hbc zenon_He4 zenon_H231 zenon_H104 zenon_H109 zenon_H201 zenon_H18a zenon_H192 zenon_H12e zenon_H7d zenon_H1cd zenon_H24e zenon_H1f1 zenon_H183 zenon_H1c2 zenon_H234 zenon_H82 zenon_H23c zenon_H26a zenon_H1d8 zenon_H2c zenon_H1d5 zenon_H33 zenon_H11a zenon_H177 zenon_H121 zenon_H1a3 zenon_H1a8 zenon_H3d zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H111 zenon_H66 zenon_Hf0 zenon_H54 zenon_H38 zenon_H196 zenon_H13f zenon_Ha5 zenon_Ha0 zenon_Hb6 zenon_H117 zenon_H77 zenon_H48 zenon_H195 zenon_H5c zenon_H68 zenon_H141 zenon_Ha9.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.97/22.15 apply (zenon_L55_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.97/22.15 apply (zenon_L1391_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.97/22.15 apply (zenon_L1173_); trivial.
% 21.97/22.15 apply (zenon_L1398_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1399_ *)
% 21.97/22.15 assert (zenon_L1400_ : ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (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) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H9f zenon_H24 zenon_Hc4 zenon_Hf3 zenon_H179 zenon_H288 zenon_H13b zenon_H164 zenon_H212 zenon_H1fe zenon_Hb2 zenon_H125 zenon_Hfa zenon_H140 zenon_Hbc zenon_He4 zenon_H231 zenon_H104 zenon_H109 zenon_H201 zenon_H18a zenon_H192 zenon_H12e zenon_H7d zenon_H1cd zenon_H24e zenon_H1f1 zenon_H183 zenon_H1c2 zenon_H234 zenon_H82 zenon_H23c zenon_H26a zenon_H1d8 zenon_H2c zenon_H1d5 zenon_H33 zenon_H11a zenon_H177 zenon_H121 zenon_H1a3 zenon_H1a8 zenon_H3d zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H111 zenon_H66 zenon_Hf0 zenon_H54 zenon_H38 zenon_H196 zenon_H13f zenon_Ha0 zenon_Hb6 zenon_H117 zenon_H77 zenon_H48 zenon_H195 zenon_H5c zenon_H68 zenon_H141 zenon_Ha9.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.97/22.15 apply (zenon_L900_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.97/22.15 apply (zenon_L1248_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.97/22.15 apply (zenon_L162_); trivial.
% 21.97/22.15 apply (zenon_L1399_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1400_ *)
% 21.97/22.15 assert (zenon_L1401_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H121 zenon_H33 zenon_H9f zenon_He0 zenon_Ha0 zenon_H1a3 zenon_Hc4.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.97/22.15 apply (zenon_L245_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.97/22.15 apply (zenon_L107_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.97/22.15 exact (zenon_H1a3 zenon_Hbb).
% 21.97/22.15 exact (zenon_Hc4 zenon_Hc3).
% 21.97/22.15 (* end of lemma zenon_L1401_ *)
% 21.97/22.15 assert (zenon_L1402_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (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) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H36 zenon_H100 zenon_H68 zenon_H34 zenon_H94 zenon_Hc4 zenon_H1a3 zenon_Ha0 zenon_H9f zenon_H33 zenon_H121 zenon_H1c6 zenon_Hb6 zenon_H3d zenon_H159 zenon_H1c7 zenon_H24 zenon_H179 zenon_H288 zenon_H13b zenon_H164 zenon_H212 zenon_H1fe zenon_Hb2 zenon_H125 zenon_Hfa zenon_H140 zenon_Hbc zenon_He4 zenon_H231 zenon_H104 zenon_H109 zenon_H201 zenon_H18a zenon_H192 zenon_H12e zenon_H7d zenon_H1cd zenon_H24e zenon_H1f1 zenon_H183 zenon_H1c2 zenon_H234 zenon_H82 zenon_H23c zenon_H26a zenon_H1d8 zenon_H2c zenon_H1d5 zenon_H11a zenon_H177 zenon_H1a8 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H25b zenon_H186 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H111 zenon_Hf0 zenon_H54 zenon_H13f zenon_H117 zenon_H77 zenon_H48 zenon_H195 zenon_H141 zenon_Ha9 zenon_He2 zenon_Hf5 zenon_H38 zenon_H93 zenon_H196.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.97/22.15 apply (zenon_L297_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.97/22.15 apply (zenon_L1237_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.97/22.15 apply (zenon_L1243_); trivial.
% 21.97/22.15 apply (zenon_L663_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.97/22.15 apply (zenon_L214_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 21.97/22.15 apply (zenon_L252_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.97/22.15 apply (zenon_L171_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.97/22.15 apply (zenon_L214_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.97/22.15 apply (zenon_L1245_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.97/22.15 apply (zenon_L439_); trivial.
% 21.97/22.15 apply (zenon_L1246_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.97/22.15 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.97/22.15 apply (zenon_L65_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.97/22.15 apply (zenon_L1247_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.97/22.15 apply (zenon_L1240_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.97/22.15 apply (zenon_L117_); trivial.
% 21.97/22.15 apply (zenon_L1400_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.97/22.15 apply (zenon_L1242_); trivial.
% 21.97/22.15 apply (zenon_L1401_); trivial.
% 21.97/22.15 apply (zenon_L663_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 21.97/22.15 apply (zenon_L38_); trivial.
% 21.97/22.15 apply (zenon_L291_); trivial.
% 21.97/22.15 apply (zenon_L167_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1402_ *)
% 21.97/22.15 assert (zenon_L1403_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H117 zenon_H9f zenon_H2c zenon_Hb6 zenon_H53 zenon_H14c zenon_Ha0 zenon_Ha5 zenon_H195.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.97/22.15 apply (zenon_L1065_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.97/22.15 apply (zenon_L113_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.97/22.15 apply (zenon_L278_); trivial.
% 21.97/22.15 apply (zenon_L172_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1403_ *)
% 21.97/22.15 assert (zenon_L1404_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H141 zenon_H34 zenon_H109 zenon_H48 zenon_H195 zenon_Ha5 zenon_Ha0 zenon_H53 zenon_Hb6 zenon_H2c zenon_H9f zenon_H117 zenon_H196 zenon_H38.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.15 apply (zenon_L359_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.15 apply (zenon_L111_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.15 apply (zenon_L1403_); trivial.
% 21.97/22.15 apply (zenon_L1162_); trivial.
% 21.97/22.15 (* end of lemma zenon_L1404_ *)
% 21.97/22.15 assert (zenon_L1405_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.97/22.15 do 0 intro. intros zenon_H13c zenon_H24 zenon_H159 zenon_Hef zenon_H141 zenon_H34 zenon_H109 zenon_H48 zenon_H195 zenon_Ha0 zenon_H53 zenon_Hb6 zenon_H2c zenon_H9f zenon_H117 zenon_H196 zenon_H38.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.97/22.15 apply (zenon_L900_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.97/22.15 exact (zenon_H159 zenon_H10c).
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.15 apply (zenon_L359_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.15 apply (zenon_L111_); trivial.
% 21.97/22.15 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.16 apply (zenon_L265_); trivial.
% 21.97/22.16 apply (zenon_L1162_); trivial.
% 21.97/22.16 apply (zenon_L1404_); trivial.
% 21.97/22.16 (* end of lemma zenon_L1405_ *)
% 21.97/22.16 assert (zenon_L1406_ : ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.97/22.16 do 0 intro. intros zenon_H93 zenon_H68 zenon_Hf5 zenon_He2 zenon_Ha9 zenon_H13f zenon_Hf0 zenon_H111 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H236 zenon_H18d zenon_H189 zenon_H27e zenon_H186 zenon_H25b zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H139 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H1a8 zenon_H177 zenon_H11a zenon_H1d5 zenon_H1d8 zenon_H26a zenon_H23c zenon_H82 zenon_H234 zenon_H1c2 zenon_H183 zenon_H1f1 zenon_H24e zenon_H1cd zenon_H7d zenon_H12e zenon_H192 zenon_H18a zenon_H201 zenon_H104 zenon_H231 zenon_He4 zenon_Hbc zenon_H140 zenon_Hfa zenon_H125 zenon_Hb2 zenon_H1fe zenon_H212 zenon_H164 zenon_H13b zenon_H288 zenon_H179 zenon_H3d zenon_H1c6 zenon_H121 zenon_H33 zenon_H1a3 zenon_Hc4 zenon_H94 zenon_H100 zenon_H36 zenon_H38 zenon_H196 zenon_H117 zenon_H9f zenon_H2c zenon_Hb6 zenon_Ha0 zenon_H195 zenon_H109 zenon_H34 zenon_H141 zenon_Hef zenon_H159 zenon_H24 zenon_H13c zenon_H48 zenon_H77 zenon_H1c7.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.97/22.16 apply (zenon_L55_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.97/22.16 exact (zenon_H159 zenon_H10c).
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.16 apply (zenon_L359_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.16 apply (zenon_L152_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 21.97/22.16 apply (zenon_L1402_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 21.97/22.16 apply (zenon_L1405_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 21.97/22.16 apply (zenon_L255_); trivial.
% 21.97/22.16 apply (zenon_L218_); trivial.
% 21.97/22.16 apply (zenon_L158_); trivial.
% 21.97/22.16 exact (zenon_H1c7 zenon_Hac).
% 21.97/22.16 (* end of lemma zenon_L1406_ *)
% 21.97/22.16 assert (zenon_L1407_ : ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.97/22.16 do 0 intro. intros zenon_H38 zenon_H196 zenon_H67 zenon_He7 zenon_H68 zenon_Hf5 zenon_He2 zenon_Ha9 zenon_H13f zenon_Hf0 zenon_H111 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H236 zenon_H18d zenon_H189 zenon_H27e zenon_H186 zenon_H25b zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H139 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H1a8 zenon_H177 zenon_H11a zenon_H1d5 zenon_H1d8 zenon_H26a zenon_H23c zenon_H82 zenon_H234 zenon_H1c2 zenon_H183 zenon_H1f1 zenon_H24e zenon_H1cd zenon_H7d zenon_H12e zenon_H192 zenon_H18a zenon_H201 zenon_H104 zenon_H231 zenon_He4 zenon_Hbc zenon_H140 zenon_Hfa zenon_H125 zenon_Hb2 zenon_H1fe zenon_H212 zenon_H164 zenon_H13b zenon_H288 zenon_H179 zenon_H3d zenon_H1c6 zenon_H121 zenon_H33 zenon_H1a3 zenon_Hc4 zenon_H94 zenon_H100 zenon_H36 zenon_H117 zenon_H9f zenon_H2c zenon_Hb6 zenon_Ha0 zenon_H195 zenon_H109 zenon_H34 zenon_H141 zenon_Hef zenon_H159 zenon_H24 zenon_H13c zenon_H48 zenon_H77 zenon_H1c7.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.97/22.16 apply (zenon_L55_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.97/22.16 exact (zenon_H159 zenon_H10c).
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.16 apply (zenon_L359_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.16 apply (zenon_L152_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.16 apply (zenon_L180_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.16 apply (zenon_L61_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.16 apply (zenon_L1169_); trivial.
% 21.97/22.16 apply (zenon_L1406_); trivial.
% 21.97/22.16 apply (zenon_L1162_); trivial.
% 21.97/22.16 exact (zenon_H1c7 zenon_Hac).
% 21.97/22.16 (* end of lemma zenon_L1407_ *)
% 21.97/22.16 assert (zenon_L1408_ : (((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)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 21.97/22.16 do 0 intro. intros zenon_H13a zenon_H33 zenon_H9d zenon_Ha9 zenon_H6e zenon_Hb6 zenon_H153 zenon_H38 zenon_Ha0.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 21.97/22.16 apply (zenon_L245_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 21.97/22.16 apply (zenon_L110_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 21.97/22.16 apply (zenon_L95_); trivial.
% 21.97/22.16 apply (zenon_L156_); trivial.
% 21.97/22.16 (* end of lemma zenon_L1408_ *)
% 21.97/22.16 assert (zenon_L1409_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.97/22.16 do 0 intro. intros zenon_H121 zenon_Ha0 zenon_H38 zenon_H153 zenon_Hb6 zenon_H6e zenon_Ha9 zenon_H33 zenon_H13a zenon_H1c7 zenon_H1a3 zenon_Hc4.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.97/22.16 apply (zenon_L1408_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.97/22.16 exact (zenon_H1c7 zenon_Hac).
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.97/22.16 exact (zenon_H1a3 zenon_Hbb).
% 21.97/22.16 exact (zenon_Hc4 zenon_Hc3).
% 21.97/22.16 (* end of lemma zenon_L1409_ *)
% 21.97/22.16 assert (zenon_L1410_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 21.97/22.16 do 0 intro. intros zenon_H139 zenon_H2c zenon_H65 zenon_Hc4 zenon_H1a3 zenon_H1c7 zenon_H13a zenon_H33 zenon_Ha9 zenon_Hb6 zenon_Ha0 zenon_H121 zenon_H153 zenon_H77 zenon_H38 zenon_H68.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.97/22.16 apply (zenon_L180_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.97/22.16 apply (zenon_L1409_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.97/22.16 apply (zenon_L94_); trivial.
% 21.97/22.16 apply (zenon_L165_); trivial.
% 21.97/22.16 (* end of lemma zenon_L1410_ *)
% 21.97/22.16 assert (zenon_L1411_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> False).
% 21.97/22.16 do 0 intro. intros zenon_H12e zenon_H48 zenon_H212 zenon_H1cb zenon_H1cd zenon_Hbc zenon_H231 zenon_H18a zenon_H7d zenon_H104 zenon_H14c zenon_H1c2 zenon_H8a zenon_H121 zenon_H33 zenon_H9f zenon_H20f zenon_H77 zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_H1a3 zenon_Hc4 zenon_H38 zenon_H1c3 zenon_He7 zenon_H171.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 21.97/22.16 apply (zenon_L456_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 21.97/22.16 apply (zenon_L1168_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 21.97/22.16 apply (zenon_L1158_); trivial.
% 21.97/22.16 apply (zenon_L964_); trivial.
% 21.97/22.16 (* end of lemma zenon_L1411_ *)
% 21.97/22.16 assert (zenon_L1412_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (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)) = (e0)) -> False).
% 21.97/22.16 do 0 intro. intros zenon_H141 zenon_H77 zenon_H111 zenon_H3f zenon_Hf0 zenon_H48 zenon_H13f zenon_H10d zenon_H1cd zenon_H171 zenon_H1c2 zenon_H93 zenon_H1a2 zenon_Hb6 zenon_H153 zenon_Ha9 zenon_Ha0 zenon_H1a3 zenon_H67 zenon_H1d5 zenon_H1cf zenon_H196 zenon_H38.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.16 apply (zenon_L219_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.16 apply (zenon_L152_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.16 apply (zenon_L1171_); trivial.
% 21.97/22.16 apply (zenon_L1162_); trivial.
% 21.97/22.16 (* end of lemma zenon_L1412_ *)
% 21.97/22.16 assert (zenon_L1413_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((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))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (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)) = (e0)) -> False).
% 21.97/22.16 do 0 intro. intros zenon_H16a zenon_H13a zenon_H1c7 zenon_H2c zenon_H139 zenon_He7 zenon_H1c3 zenon_Hc4 zenon_H183 zenon_H68 zenon_H34 zenon_H20f zenon_H9f zenon_H33 zenon_H121 zenon_H14c zenon_H104 zenon_H7d zenon_H18a zenon_H231 zenon_Hbc zenon_H1cb zenon_H212 zenon_H12e zenon_H141 zenon_H77 zenon_H111 zenon_H3f zenon_Hf0 zenon_H48 zenon_H13f zenon_H10d zenon_H1cd zenon_H171 zenon_H1c2 zenon_H1a2 zenon_Hb6 zenon_H153 zenon_Ha9 zenon_Ha0 zenon_H1a3 zenon_H67 zenon_H1d5 zenon_H1cf zenon_H196 zenon_H38.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.16 apply (zenon_L1410_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.16 apply (zenon_L289_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.16 apply (zenon_L1411_); trivial.
% 21.97/22.16 apply (zenon_L1412_); trivial.
% 21.97/22.16 (* end of lemma zenon_L1413_ *)
% 21.97/22.16 assert (zenon_L1414_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e1)) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.97/22.16 do 0 intro. intros zenon_H121 zenon_H33 zenon_H9f zenon_H1c7 zenon_H106 zenon_Hb6 zenon_Hc4.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.97/22.16 apply (zenon_L245_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.97/22.16 exact (zenon_H1c7 zenon_Hac).
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.97/22.16 apply (zenon_L363_); trivial.
% 21.97/22.16 exact (zenon_Hc4 zenon_Hc3).
% 21.97/22.16 (* end of lemma zenon_L1414_ *)
% 21.97/22.16 assert (zenon_L1415_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (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) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((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 (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 21.97/22.16 do 0 intro. intros zenon_H13c zenon_H24 zenon_H195 zenon_H117 zenon_H36 zenon_H100 zenon_H94 zenon_H179 zenon_H288 zenon_H13b zenon_H164 zenon_H1fe zenon_Hb2 zenon_H125 zenon_Hfa zenon_H140 zenon_He4 zenon_H24e zenon_H1f1 zenon_H234 zenon_H82 zenon_H23c zenon_H26a zenon_H1d8 zenon_H11a zenon_H177 zenon_H1a8 zenon_H1bb zenon_H129 zenon_H1b4 zenon_H283 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H1b7 zenon_H25b zenon_H186 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_He2 zenon_Hf5 zenon_H1c6 zenon_H159 zenon_H38 zenon_H196 zenon_H201 zenon_H1cf zenon_H1d5 zenon_H67 zenon_H1a3 zenon_Ha0 zenon_Ha9 zenon_H1a2 zenon_H1c2 zenon_H1cd zenon_H13f zenon_Hf0 zenon_H3f zenon_H111 zenon_H77 zenon_H141 zenon_H212 zenon_H1cb zenon_Hbc zenon_H231 zenon_H18a zenon_H7d zenon_H104 zenon_H20f zenon_H68 zenon_H183 zenon_H1c3 zenon_H139 zenon_H2c zenon_H13a zenon_H16a zenon_He7 zenon_H163 zenon_H192 zenon_H3d zenon_H34 zenon_H12e zenon_H48 zenon_H121 zenon_H33 zenon_H9f zenon_Hb6 zenon_Hc4 zenon_H109 zenon_H1c7.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.97/22.16 apply (zenon_L214_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.97/22.16 apply (zenon_L1407_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.97/22.16 apply (zenon_L1164_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.97/22.16 apply (zenon_L55_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.97/22.16 exact (zenon_H159 zenon_H10c).
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.16 apply (zenon_L359_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.16 apply (zenon_L152_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.16 apply (zenon_L1413_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.16 apply (zenon_L965_); trivial.
% 21.97/22.16 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.16 apply (zenon_L255_); trivial.
% 21.97/22.16 apply (zenon_L1414_); trivial.
% 21.97/22.16 apply (zenon_L1162_); trivial.
% 21.97/22.16 exact (zenon_H1c7 zenon_Hac).
% 21.97/22.16 (* end of lemma zenon_L1415_ *)
% 21.97/22.16 assert (zenon_L1416_ : (~((e1) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (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 (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (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) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e3) (e1)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((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))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e0)) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H77 zenon_H13c zenon_H24 zenon_H141 zenon_H109 zenon_H195 zenon_Ha0 zenon_H2c zenon_H9f zenon_H117 zenon_H36 zenon_H100 zenon_H94 zenon_Hc4 zenon_H1a3 zenon_H33 zenon_H121 zenon_H179 zenon_H288 zenon_H13b zenon_H164 zenon_H212 zenon_H1fe zenon_Hb2 zenon_H125 zenon_Hfa zenon_H140 zenon_Hbc zenon_He4 zenon_H231 zenon_H104 zenon_H201 zenon_H18a zenon_H7d zenon_H1cd zenon_H24e zenon_H1f1 zenon_H183 zenon_H1c2 zenon_H234 zenon_H82 zenon_H23c zenon_H26a zenon_H1d8 zenon_H1d5 zenon_H11a zenon_H177 zenon_H1a8 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H139 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H25b zenon_H186 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H111 zenon_Hf0 zenon_H13f zenon_He2 zenon_Hf5 zenon_H68 zenon_H67 zenon_H196 zenon_H38 zenon_H1c7 zenon_Ha9 zenon_H159 zenon_Hb6 zenon_H1c6 zenon_H12e zenon_H48 zenon_H34 zenon_H3d zenon_H192 zenon_H4d zenon_H163 zenon_He7.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.97/22.17 apply (zenon_L214_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.97/22.17 apply (zenon_L1407_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.97/22.17 apply (zenon_L1164_); trivial.
% 21.97/22.17 apply (zenon_L965_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1416_ *)
% 21.97/22.17 assert (zenon_L1417_ : (((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)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H1a2 zenon_Hb6 zenon_H153 zenon_H186 zenon_Ha5 zenon_H14c zenon_Ha0 zenon_H1a3.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.97/22.17 apply (zenon_L95_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.97/22.17 apply (zenon_L308_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.97/22.17 apply (zenon_L278_); trivial.
% 21.97/22.17 exact (zenon_H1a3 zenon_Hbb).
% 21.97/22.17 (* end of lemma zenon_L1417_ *)
% 21.97/22.17 assert (zenon_L1418_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (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 (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H183 zenon_H18a zenon_H1c2 zenon_H8a zenon_H68 zenon_H1c3 zenon_Hef zenon_H11a zenon_H106 zenon_H77 zenon_H27e zenon_H38 zenon_H196 zenon_H5c zenon_H129 zenon_Ha5 zenon_H195.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.97/22.17 apply (zenon_L1259_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.97/22.17 apply (zenon_L119_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.97/22.17 apply (zenon_L367_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H115 | zenon_intro zenon_H27f ].
% 21.97/22.17 apply (zenon_L1162_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H128 | zenon_intro zenon_H280 ].
% 21.97/22.17 apply (zenon_L149_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H93 | zenon_intro zenon_Hb9 ].
% 21.97/22.17 apply (zenon_L126_); trivial.
% 21.97/22.17 apply (zenon_L172_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1418_ *)
% 21.97/22.17 assert (zenon_L1419_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H16a zenon_Ha0 zenon_H14c zenon_Ha9 zenon_H54 zenon_Hb6 zenon_H117 zenon_H195 zenon_Ha5 zenon_H5c zenon_H196 zenon_H27e zenon_H11a zenon_Hef zenon_H1c3 zenon_H68 zenon_H1c2 zenon_H18a zenon_H183 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H106 zenon_H1cb.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.17 apply (zenon_L30_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.17 apply (zenon_L1090_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.17 apply (zenon_L1418_); trivial.
% 21.97/22.17 apply (zenon_L1159_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1419_ *)
% 21.97/22.17 assert (zenon_L1420_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H201 zenon_H1a3 zenon_H1a2 zenon_H186 zenon_H16a zenon_Ha0 zenon_H14c zenon_Ha9 zenon_H54 zenon_Hb6 zenon_H117 zenon_H195 zenon_Ha5 zenon_H5c zenon_H196 zenon_H27e zenon_H11a zenon_Hef zenon_H1c3 zenon_H68 zenon_H1c2 zenon_H18a zenon_H183 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.17 apply (zenon_L1417_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.17 apply (zenon_L138_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.17 apply (zenon_L255_); trivial.
% 21.97/22.17 apply (zenon_L1419_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1420_ *)
% 21.97/22.17 assert (zenon_L1421_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H141 zenon_H34 zenon_H109 zenon_He7 zenon_Hf0 zenon_H1cb zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H183 zenon_H18a zenon_H1c2 zenon_H68 zenon_H1c3 zenon_Hef zenon_H11a zenon_H27e zenon_H5c zenon_Ha5 zenon_H195 zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha9 zenon_Ha0 zenon_H16a zenon_H186 zenon_H1a2 zenon_H1a3 zenon_H201 zenon_H196 zenon_H38.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.17 apply (zenon_L359_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.17 apply (zenon_L929_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.17 apply (zenon_L1420_); trivial.
% 21.97/22.17 apply (zenon_L1162_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1421_ *)
% 21.97/22.17 assert (zenon_L1422_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H13a zenon_H33 zenon_H121 zenon_H173 zenon_H177 zenon_H209 zenon_H139 zenon_H15d zenon_H141 zenon_H34 zenon_H109 zenon_He7 zenon_Hf0 zenon_H1cb zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H183 zenon_H18a zenon_H1c2 zenon_H68 zenon_H1c3 zenon_Hef zenon_H11a zenon_H27e zenon_H5c zenon_H195 zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha9 zenon_Ha0 zenon_H16a zenon_H186 zenon_H1a2 zenon_H1a3 zenon_H201 zenon_H196 zenon_H38.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.97/22.17 apply (zenon_L900_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.97/22.17 apply (zenon_L1253_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.97/22.17 apply (zenon_L1244_); trivial.
% 21.97/22.17 apply (zenon_L1421_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1422_ *)
% 21.97/22.17 assert (zenon_L1423_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H1cf zenon_H1a3 zenon_Ha0 zenon_H14c zenon_Ha9 zenon_H153 zenon_Hb6 zenon_H1a2 zenon_H190 zenon_H6d zenon_H1c3 zenon_H68 zenon_H77 zenon_Hc4 zenon_H129 zenon_H5c zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H1cb.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.97/22.17 apply (zenon_L94_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.97/22.17 apply (zenon_L1170_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.97/22.17 apply (zenon_L366_); trivial.
% 21.97/22.17 apply (zenon_L1260_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1423_ *)
% 21.97/22.17 assert (zenon_L1424_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((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))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H16a zenon_H5c zenon_H195 zenon_Hb6 zenon_H13f zenon_H10d zenon_H14c zenon_H1c2 zenon_H121 zenon_H33 zenon_H9f zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_H1a3 zenon_H1c3 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H106 zenon_H1cb.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.17 apply (zenon_L256_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.17 apply (zenon_L289_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.17 apply (zenon_L1158_); trivial.
% 21.97/22.17 apply (zenon_L1159_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1424_ *)
% 21.97/22.17 assert (zenon_L1425_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H117 zenon_H54 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_Hc4 zenon_H48 zenon_H18d zenon_H1a3 zenon_H34 zenon_H1c2 zenon_H13f zenon_H195 zenon_H16a zenon_H191 zenon_H183 zenon_H18a zenon_H6d zenon_H189 zenon_H5c zenon_H77 zenon_H38 zenon_H68 zenon_H1c3 zenon_H129 zenon_Hb6 zenon_Ha9 zenon_H9f zenon_H33 zenon_H121 zenon_H66 zenon_H177 zenon_H14c zenon_H106.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 21.97/22.17 apply (zenon_L151_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 21.97/22.17 apply (zenon_L1424_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 21.97/22.17 exact (zenon_H191 zenon_H110).
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.97/22.17 apply (zenon_L1338_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.97/22.17 apply (zenon_L493_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.97/22.17 apply (zenon_L122_); trivial.
% 21.97/22.17 apply (zenon_L1157_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1425_ *)
% 21.97/22.17 assert (zenon_L1426_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H13a zenon_Hc4 zenon_H1a3 zenon_H11a zenon_H33 zenon_H121 zenon_H173 zenon_H177 zenon_H209 zenon_H139 zenon_H15d zenon_H72 zenon_H141 zenon_H68 zenon_H5c zenon_H195 zenon_H48 zenon_H77 zenon_H6d zenon_H117 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H13f zenon_H196 zenon_H38.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.97/22.17 apply (zenon_L900_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.97/22.17 apply (zenon_L1253_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.97/22.17 apply (zenon_L436_); trivial.
% 21.97/22.17 apply (zenon_L1397_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1426_ *)
% 21.97/22.17 assert (zenon_L1427_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H183 zenon_H6e zenon_H192 zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H5c zenon_H129 zenon_Hc4 zenon_H77 zenon_H68 zenon_H1c3 zenon_H231 zenon_H34 zenon_Hbc zenon_H7f zenon_H1cd zenon_H1cb zenon_H1a3.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 21.97/22.17 apply (zenon_L291_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 21.97/22.17 apply (zenon_L1128_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 21.97/22.17 apply (zenon_L1260_); trivial.
% 21.97/22.17 apply (zenon_L1165_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1427_ *)
% 21.97/22.17 assert (zenon_L1428_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((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)) = (e0)) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H141 zenon_H48 zenon_H54 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H5c zenon_H129 zenon_Hc4 zenon_H77 zenon_H68 zenon_H1c3 zenon_H6d zenon_H190 zenon_H1a2 zenon_Hb6 zenon_H153 zenon_Ha9 zenon_Ha0 zenon_H1a3 zenon_H1cf zenon_H196 zenon_H38.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.17 apply (zenon_L217_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.17 apply (zenon_L54_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.17 apply (zenon_L1423_); trivial.
% 21.97/22.17 apply (zenon_L1162_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1428_ *)
% 21.97/22.17 assert (zenon_L1429_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (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 (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H1a8 zenon_H1cd zenon_H231 zenon_H192 zenon_H183 zenon_H34 zenon_Hbc zenon_H191 zenon_H140 zenon_H38 zenon_H196 zenon_H1cf zenon_H1a3 zenon_Ha0 zenon_Ha9 zenon_H153 zenon_Hb6 zenon_H1a2 zenon_H190 zenon_H1c3 zenon_H68 zenon_Hc4 zenon_H129 zenon_H5c zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1cb zenon_H54 zenon_H48 zenon_H141 zenon_H7f zenon_H77.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.97/22.17 apply (zenon_L1427_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.97/22.17 apply (zenon_L1316_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.97/22.17 apply (zenon_L1428_); trivial.
% 21.97/22.17 apply (zenon_L169_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1429_ *)
% 21.97/22.17 assert (zenon_L1430_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (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 (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> False).
% 21.97/22.17 do 0 intro. intros zenon_He4 zenon_H1d8 zenon_H234 zenon_H55 zenon_H1a8 zenon_H1cd zenon_H231 zenon_H192 zenon_H183 zenon_H34 zenon_Hbc zenon_H191 zenon_H140 zenon_H38 zenon_H196 zenon_H1cf zenon_H1a3 zenon_Ha0 zenon_Ha9 zenon_H153 zenon_Hb6 zenon_H1a2 zenon_H190 zenon_H1c3 zenon_H68 zenon_Hc4 zenon_H129 zenon_H5c zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1cb zenon_H54 zenon_H48 zenon_H141 zenon_H77.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 21.97/22.17 apply (zenon_L738_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 21.97/22.17 apply (zenon_L484_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 21.97/22.17 apply (zenon_L15_); trivial.
% 21.97/22.17 apply (zenon_L1429_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1430_ *)
% 21.97/22.17 assert (zenon_L1431_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((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)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H82 zenon_H13a zenon_H139 zenon_H5d zenon_H77 zenon_H141 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H5c zenon_H129 zenon_Hc4 zenon_H68 zenon_H1c3 zenon_H190 zenon_H1a2 zenon_Hb6 zenon_H153 zenon_Ha9 zenon_Ha0 zenon_H1a3 zenon_H1cf zenon_H196 zenon_H38 zenon_H140 zenon_H191 zenon_Hbc zenon_H183 zenon_H192 zenon_H231 zenon_H1cd zenon_H1a8 zenon_H55 zenon_H234 zenon_H1d8 zenon_He4 zenon_H34 zenon_H48.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.97/22.17 apply (zenon_L1284_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.97/22.17 apply (zenon_L17_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.97/22.17 apply (zenon_L1430_); trivial.
% 21.97/22.17 apply (zenon_L456_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1431_ *)
% 21.97/22.17 assert (zenon_L1432_ : ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e3)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((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 (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H54 zenon_H1cb zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H1c3 zenon_H1a3 zenon_H183 zenon_H68 zenon_H34 zenon_Ha9 zenon_H9f zenon_H33 zenon_H121 zenon_H1c2 zenon_H10d zenon_H13f zenon_Hb6 zenon_H195 zenon_H5c zenon_H16a zenon_H133 zenon_H82 zenon_H13a zenon_H139 zenon_H5d zenon_H141 zenon_H190 zenon_H1a2 zenon_Ha0 zenon_H1cf zenon_H140 zenon_H191 zenon_Hbc zenon_H192 zenon_H231 zenon_H1cd zenon_H1a8 zenon_H55 zenon_H234 zenon_H1d8 zenon_He4 zenon_H201 zenon_H196 zenon_H38.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.17 apply (zenon_L217_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.17 apply (zenon_L152_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.17 apply (zenon_L1431_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.17 apply (zenon_L124_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.17 apply (zenon_L255_); trivial.
% 21.97/22.17 apply (zenon_L1424_); trivial.
% 21.97/22.17 apply (zenon_L1162_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1432_ *)
% 21.97/22.17 assert (zenon_L1433_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H141 zenon_H48 zenon_H54 zenon_H10d zenon_H1a3 zenon_Ha0 zenon_Ha5 zenon_H186 zenon_H153 zenon_Hb6 zenon_H1a2 zenon_H196 zenon_H38.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.17 apply (zenon_L217_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.17 apply (zenon_L152_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.17 apply (zenon_L1417_); trivial.
% 21.97/22.17 apply (zenon_L1162_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1433_ *)
% 21.97/22.17 assert (zenon_L1434_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((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))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H16a zenon_H10d zenon_H5c zenon_H195 zenon_H117 zenon_Hb6 zenon_Ha0 zenon_Ha5 zenon_H13f zenon_H14c zenon_H1c2 zenon_H121 zenon_H33 zenon_H9f zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_H1a3 zenon_H1c3 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H106 zenon_H1cb.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.17 apply (zenon_L256_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.17 apply (zenon_L1396_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.17 apply (zenon_L1158_); trivial.
% 21.97/22.17 apply (zenon_L1159_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1434_ *)
% 21.97/22.17 assert (zenon_L1435_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H109 zenon_H1cb zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H1c3 zenon_H1a3 zenon_H183 zenon_H68 zenon_H34 zenon_Ha9 zenon_H9f zenon_H33 zenon_H121 zenon_H1c2 zenon_H13f zenon_Ha5 zenon_Ha0 zenon_Hb6 zenon_H117 zenon_H195 zenon_H5c zenon_H10d zenon_H16a zenon_H186 zenon_H141 zenon_H54 zenon_H1a2 zenon_H201 zenon_H196 zenon_H38.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.17 apply (zenon_L359_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.17 apply (zenon_L152_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.17 apply (zenon_L1433_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.17 apply (zenon_L138_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.17 apply (zenon_L255_); trivial.
% 21.97/22.17 apply (zenon_L1434_); trivial.
% 21.97/22.17 apply (zenon_L1162_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1435_ *)
% 21.97/22.17 assert (zenon_L1436_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((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) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((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))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e2) = (e3))) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H27e zenon_Hf0 zenon_He7 zenon_H18a zenon_H189 zenon_H13c zenon_H24 zenon_H82 zenon_H139 zenon_H5d zenon_H190 zenon_H1cf zenon_H140 zenon_H191 zenon_Hbc zenon_H192 zenon_H231 zenon_H1cd zenon_H1a8 zenon_H55 zenon_H234 zenon_H1d8 zenon_He4 zenon_H15d zenon_H173 zenon_H1c6 zenon_H209 zenon_H11a zenon_H177 zenon_H3d zenon_H13a zenon_H38 zenon_H196 zenon_H201 zenon_H1a2 zenon_H54 zenon_H141 zenon_H186 zenon_H16a zenon_H5c zenon_H195 zenon_H117 zenon_Hb6 zenon_Ha0 zenon_H13f zenon_H1c2 zenon_H121 zenon_H33 zenon_H9f zenon_H34 zenon_H68 zenon_H183 zenon_H1a3 zenon_H1c3 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H1cb zenon_H109 zenon_Ha9.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.97/22.17 apply (zenon_L214_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.97/22.17 apply (zenon_L1422_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.97/22.17 apply (zenon_L900_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.97/22.17 apply (zenon_L1251_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.17 apply (zenon_L217_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.17 apply (zenon_L54_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.17 apply (zenon_L1423_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.17 apply (zenon_L124_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.17 apply (zenon_L255_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.97/22.17 apply (zenon_L1425_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.97/22.17 apply (zenon_L1426_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.97/22.17 apply (zenon_L1158_); trivial.
% 21.97/22.17 apply (zenon_L367_); trivial.
% 21.97/22.17 apply (zenon_L1162_); trivial.
% 21.97/22.17 apply (zenon_L1397_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.97/22.17 apply (zenon_L900_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.97/22.17 apply (zenon_L1253_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.97/22.17 apply (zenon_L55_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.97/22.17 apply (zenon_L1253_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.97/22.17 apply (zenon_L1432_); trivial.
% 21.97/22.17 apply (zenon_L371_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.97/22.17 apply (zenon_L55_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.97/22.17 apply (zenon_L1251_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.97/22.17 apply (zenon_L1435_); trivial.
% 21.97/22.17 apply (zenon_L371_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1436_ *)
% 21.97/22.17 assert (zenon_L1437_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H1cf zenon_Hb6 zenon_Ha0 zenon_H14c zenon_Hf3 zenon_Ha9 zenon_H1a2 zenon_H4e zenon_H76 zenon_H1ef zenon_H65 zenon_H1bb zenon_H18a zenon_H34 zenon_H106 zenon_H1cb zenon_Hc4.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 21.97/22.17 apply (zenon_L364_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 21.97/22.17 apply (zenon_L83_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 21.97/22.17 apply (zenon_L533_); trivial.
% 21.97/22.17 apply (zenon_L847_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1437_ *)
% 21.97/22.17 assert (zenon_L1438_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H141 zenon_H109 zenon_H10d zenon_H1cb zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H1c3 zenon_H1a3 zenon_H183 zenon_H68 zenon_H34 zenon_Ha9 zenon_H9f zenon_H33 zenon_H121 zenon_H1c2 zenon_H1cf zenon_Hb6 zenon_Ha0 zenon_Hf3 zenon_H1a2 zenon_H201 zenon_H4e zenon_H76 zenon_H190 zenon_H1ef zenon_H18a zenon_H16a zenon_H186 zenon_Ha5 zenon_H196 zenon_H38.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.17 apply (zenon_L359_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.17 apply (zenon_L152_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.17 apply (zenon_L1417_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.17 apply (zenon_L117_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.17 apply (zenon_L255_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.17 apply (zenon_L1437_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.17 apply (zenon_L368_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.17 apply (zenon_L1158_); trivial.
% 21.97/22.17 apply (zenon_L1159_); trivial.
% 21.97/22.17 apply (zenon_L1162_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1438_ *)
% 21.97/22.17 assert (zenon_L1439_ : (((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)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H1a2 zenon_Hb6 zenon_H153 zenon_H186 zenon_Ha5 zenon_H191 zenon_Hac zenon_H1cd.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.97/22.17 apply (zenon_L95_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.97/22.17 apply (zenon_L308_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.97/22.17 exact (zenon_H191 zenon_H110).
% 21.97/22.17 apply (zenon_L360_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1439_ *)
% 21.97/22.17 assert (zenon_L1440_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H1a2 zenon_H67 zenon_H105 zenon_H186 zenon_Ha5 zenon_H191 zenon_Hac zenon_H1cd.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 21.97/22.17 apply (zenon_L446_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 21.97/22.17 apply (zenon_L308_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 21.97/22.17 exact (zenon_H191 zenon_H110).
% 21.97/22.17 apply (zenon_L360_); trivial.
% 21.97/22.17 (* end of lemma zenon_L1440_ *)
% 21.97/22.17 assert (zenon_L1441_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 21.97/22.17 do 0 intro. intros zenon_H16a zenon_H196 zenon_H13f zenon_H5c zenon_H68 zenon_H141 zenon_H195 zenon_Ha5 zenon_Ha9 zenon_Hdd zenon_Ha0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H106 zenon_H1cb.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 21.97/22.17 apply (zenon_L30_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 21.97/22.17 apply (zenon_L1397_); trivial.
% 21.97/22.17 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 21.97/22.17 apply (zenon_L173_); trivial.
% 21.97/22.18 apply (zenon_L1159_); trivial.
% 21.97/22.18 (* end of lemma zenon_L1441_ *)
% 21.97/22.18 assert (zenon_L1442_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (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 (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False).
% 21.97/22.18 do 0 intro. intros zenon_Hcb zenon_Hb6 zenon_H9f zenon_H13b zenon_Hf5 zenon_H1fb zenon_Hfa zenon_H4e zenon_H1ef zenon_He2 zenon_H13c zenon_H109 zenon_H201 zenon_H117 zenon_H195 zenon_H183 zenon_H129 zenon_H27e zenon_H1c2 zenon_H18a zenon_H1c3 zenon_H18d zenon_H1cb zenon_H1b4 zenon_H20f zenon_H1bb zenon_H16a zenon_H186 zenon_H1a2 zenon_Hf0 zenon_H196 zenon_H141 zenon_H173 zenon_H121 zenon_Hc4 zenon_H177 zenon_H11a zenon_H209 zenon_H33 zenon_H48 zenon_H15d zenon_H24 zenon_H189 zenon_H191 zenon_H13f zenon_H190 zenon_H1cf zenon_H82 zenon_H1d8 zenon_H234 zenon_H55 zenon_H1a8 zenon_H140 zenon_H192 zenon_H231 zenon_H1cd zenon_Hbc zenon_He4 zenon_H1c6 zenon_H34 zenon_H179 zenon_H288 zenon_H164 zenon_H212 zenon_H1fe zenon_Hb2 zenon_H125 zenon_H104 zenon_H12e zenon_H7d zenon_H24e zenon_H1f1 zenon_H23c zenon_H26a zenon_H2c zenon_H1d5 zenon_H111 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H26d zenon_Hcc zenon_H282 zenon_Heb zenon_H236 zenon_H25b zenon_H1b7 zenon_H266 zenon_H6f zenon_H13e zenon_H158 zenon_H156 zenon_H1ec zenon_H73 zenon_H131 zenon_H163 zenon_H283 zenon_H5c zenon_H5d zenon_H77 zenon_H13a zenon_H38 zenon_Ha0 zenon_Ha9 zenon_H68 zenon_H139.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 21.97/22.18 apply (zenon_L253_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 21.97/22.18 apply (zenon_L1149_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 21.97/22.18 apply (zenon_L17_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 21.97/22.18 apply (zenon_L297_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 21.97/22.18 apply (zenon_L1436_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.97/22.18 apply (zenon_L316_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.97/22.18 apply (zenon_L214_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.97/22.18 apply (zenon_L1422_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.97/22.18 apply (zenon_L900_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.97/22.18 apply (zenon_L1253_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.97/22.18 apply (zenon_L162_); trivial.
% 21.97/22.18 apply (zenon_L1397_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.97/22.18 apply (zenon_L900_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.97/22.18 apply (zenon_L1251_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.97/22.18 apply (zenon_L162_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.97/22.18 apply (zenon_L55_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.97/22.18 apply (zenon_L1251_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.97/22.18 apply (zenon_L1438_); trivial.
% 21.97/22.18 apply (zenon_L371_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.97/22.18 apply (zenon_L1422_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.97/22.18 apply (zenon_L62_); trivial.
% 21.97/22.18 apply (zenon_L206_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.97/22.18 apply (zenon_L900_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.97/22.18 apply (zenon_L1251_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.97/22.18 apply (zenon_L162_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.97/22.18 apply (zenon_L55_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.97/22.18 apply (zenon_L1251_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.97/22.18 apply (zenon_L1435_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.18 apply (zenon_L1439_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.18 apply (zenon_L117_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.18 apply (zenon_L1440_); trivial.
% 21.97/22.18 apply (zenon_L1441_); trivial.
% 21.97/22.18 apply (zenon_L543_); trivial.
% 21.97/22.18 apply (zenon_L663_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 21.97/22.18 apply (zenon_L214_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 21.97/22.18 apply (zenon_L214_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 21.97/22.18 apply (zenon_L1392_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.97/22.18 apply (zenon_L900_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.97/22.18 apply (zenon_L1253_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.97/22.18 apply (zenon_L55_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.97/22.18 apply (zenon_L1253_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.97/22.18 apply (zenon_L1432_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.18 apply (zenon_L359_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.18 apply (zenon_L54_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.18 apply (zenon_L1423_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.18 apply (zenon_L379_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.18 apply (zenon_L255_); trivial.
% 21.97/22.18 apply (zenon_L1425_); trivial.
% 21.97/22.18 apply (zenon_L1162_); trivial.
% 21.97/22.18 apply (zenon_L1393_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.97/22.18 apply (zenon_L900_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.97/22.18 apply (zenon_L1248_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.97/22.18 apply (zenon_L55_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.97/22.18 apply (zenon_L1248_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.97/22.18 apply (zenon_L1432_); trivial.
% 21.97/22.18 apply (zenon_L371_); trivial.
% 21.97/22.18 apply (zenon_L1399_); trivial.
% 21.97/22.18 apply (zenon_L165_); trivial.
% 21.97/22.18 apply (zenon_L456_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 21.97/22.18 apply (zenon_L1431_); trivial.
% 21.97/22.18 apply (zenon_L192_); trivial.
% 21.97/22.18 apply (zenon_L414_); trivial.
% 21.97/22.18 (* end of lemma zenon_L1442_ *)
% 21.97/22.18 assert (zenon_L1443_ : ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (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 (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False).
% 21.97/22.18 do 0 intro. intros zenon_H54 zenon_He7 zenon_H3d zenon_H159 zenon_H1c7 zenon_H67 zenon_H1a3 zenon_H100 zenon_H36 zenon_Hcb zenon_Hb6 zenon_H9f zenon_H13b zenon_Hf5 zenon_H1fb zenon_Hfa zenon_H4e zenon_H1ef zenon_He2 zenon_H13c zenon_H109 zenon_H201 zenon_H117 zenon_H195 zenon_H183 zenon_H129 zenon_H27e zenon_H1c2 zenon_H18a zenon_H1c3 zenon_H18d zenon_H1cb zenon_H1b4 zenon_H20f zenon_H1bb zenon_H16a zenon_H186 zenon_H1a2 zenon_Hf0 zenon_H196 zenon_H141 zenon_H173 zenon_H121 zenon_Hc4 zenon_H177 zenon_H11a zenon_H209 zenon_H33 zenon_H48 zenon_H15d zenon_H24 zenon_H189 zenon_H191 zenon_H13f zenon_H190 zenon_H1cf zenon_H82 zenon_H1d8 zenon_H234 zenon_H55 zenon_H1a8 zenon_H140 zenon_H192 zenon_H231 zenon_H1cd zenon_Hbc zenon_He4 zenon_H1c6 zenon_H34 zenon_H179 zenon_H288 zenon_H164 zenon_H212 zenon_H1fe zenon_Hb2 zenon_H125 zenon_H104 zenon_H12e zenon_H7d zenon_H24e zenon_H1f1 zenon_H23c zenon_H26a zenon_H2c zenon_H1d5 zenon_H111 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H26d zenon_Hcc zenon_H282 zenon_Heb zenon_H236 zenon_H25b zenon_H1b7 zenon_H266 zenon_H6f zenon_H13e zenon_H158 zenon_H156 zenon_H1ec zenon_H73 zenon_H131 zenon_H163 zenon_H283 zenon_H5d zenon_H77 zenon_H13a zenon_H38 zenon_Ha0 zenon_Ha9 zenon_H68 zenon_H139.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 21.97/22.18 apply (zenon_L69_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 21.97/22.18 apply (zenon_L1415_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 21.97/22.18 apply (zenon_L1416_); trivial.
% 21.97/22.18 apply (zenon_L1442_); trivial.
% 21.97/22.18 (* end of lemma zenon_L1443_ *)
% 21.97/22.18 assert (zenon_L1444_ : (((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)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 21.97/22.18 do 0 intro. intros zenon_H1c3 zenon_H68 zenon_H38 zenon_Ha5 zenon_Ha9 zenon_H128 zenon_H77 zenon_H171 zenon_H1b7.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 21.97/22.18 apply (zenon_L165_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 21.97/22.18 apply (zenon_L299_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 21.97/22.18 apply (zenon_L218_); trivial.
% 21.97/22.18 apply (zenon_L188_); trivial.
% 21.97/22.18 (* end of lemma zenon_L1444_ *)
% 21.97/22.18 assert (zenon_L1445_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.97/22.18 do 0 intro. intros zenon_H121 zenon_H209 zenon_H20f zenon_Hf7 zenon_H77 zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_H106 zenon_Hb6 zenon_Hc4.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 21.97/22.18 exact (zenon_H209 zenon_H9d).
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 21.97/22.18 apply (zenon_L1153_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 21.97/22.18 apply (zenon_L363_); trivial.
% 21.97/22.18 exact (zenon_Hc4 zenon_Hc3).
% 21.97/22.18 (* end of lemma zenon_L1445_ *)
% 21.97/22.18 assert (zenon_L1446_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> False).
% 21.97/22.18 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H1c7 zenon_H141 zenon_H109 zenon_Ha0 zenon_Hc4 zenon_Hb6 zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H20f zenon_H209 zenon_H121 zenon_H48 zenon_H3d zenon_H1d8 zenon_H201 zenon_H196 zenon_H38 zenon_H159 zenon_H1c6 zenon_Ha9 zenon_Hf7.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.97/22.18 apply (zenon_L900_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.97/22.18 exact (zenon_H159 zenon_H10c).
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 21.97/22.18 apply (zenon_L55_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 21.97/22.18 exact (zenon_H159 zenon_H10c).
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.18 apply (zenon_L359_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.18 apply (zenon_L152_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 21.97/22.18 apply (zenon_L738_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 21.97/22.18 apply (zenon_L124_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 21.97/22.18 apply (zenon_L255_); trivial.
% 21.97/22.18 apply (zenon_L1445_); trivial.
% 21.97/22.18 apply (zenon_L1162_); trivial.
% 21.97/22.18 exact (zenon_H1c7 zenon_Hac).
% 21.97/22.18 apply (zenon_L299_); trivial.
% 21.97/22.18 (* end of lemma zenon_L1446_ *)
% 21.97/22.18 assert (zenon_L1447_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> False).
% 21.97/22.18 do 0 intro. intros zenon_H13c zenon_Hb6 zenon_H3c zenon_H159 zenon_Ha0 zenon_Hf3 zenon_Ha9 zenon_Hf7.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 21.97/22.18 apply (zenon_L46_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 21.97/22.18 exact (zenon_H159 zenon_H10c).
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 21.97/22.18 apply (zenon_L162_); trivial.
% 21.97/22.18 apply (zenon_L299_); trivial.
% 21.97/22.18 (* end of lemma zenon_L1447_ *)
% 21.97/22.18 assert (zenon_L1448_ : (~((op (e3) (e1)) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (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 (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (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) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 21.97/22.18 do 0 intro. intros zenon_H1c7 zenon_H77 zenon_H48 zenon_H24 zenon_H141 zenon_H34 zenon_H109 zenon_H195 zenon_H2c zenon_H9f zenon_H117 zenon_H36 zenon_H100 zenon_H94 zenon_Hc4 zenon_H1a3 zenon_H33 zenon_H121 zenon_H1c6 zenon_H3d zenon_H179 zenon_H288 zenon_H13b zenon_H164 zenon_H212 zenon_H1fe zenon_Hb2 zenon_H125 zenon_Hfa zenon_H140 zenon_Hbc zenon_He4 zenon_H231 zenon_H104 zenon_H201 zenon_H18a zenon_H192 zenon_H12e zenon_H7d zenon_H1cd zenon_H24e zenon_H1f1 zenon_H183 zenon_H1c2 zenon_H234 zenon_H82 zenon_H23c zenon_H26a zenon_H1d8 zenon_H1d5 zenon_H11a zenon_H177 zenon_H1a8 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H139 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H25b zenon_H186 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H111 zenon_Hf0 zenon_H13f zenon_He2 zenon_Hf5 zenon_He7 zenon_H67 zenon_H196 zenon_H38 zenon_H68 zenon_H13c zenon_Hb6 zenon_H3c zenon_H159 zenon_Ha0 zenon_Hf3 zenon_Ha9.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 21.97/22.18 apply (zenon_L24_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 21.97/22.18 apply (zenon_L1407_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 21.97/22.18 apply (zenon_L62_); trivial.
% 21.97/22.18 apply (zenon_L1447_); trivial.
% 21.97/22.18 (* end of lemma zenon_L1448_ *)
% 21.97/22.18 assert (zenon_L1449_ : (~((e2) = (e3))) -> ((op (e1) (e2)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 21.97/22.18 do 0 intro. intros zenon_Ha9 zenon_Hf3 zenon_H3c zenon_H13c zenon_H68 zenon_H38 zenon_H196 zenon_H67 zenon_Hf5 zenon_He2 zenon_H13f zenon_Hf0 zenon_H111 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H236 zenon_H18d zenon_H189 zenon_H27e zenon_H186 zenon_H25b zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H139 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H1a8 zenon_H177 zenon_H11a zenon_H1d5 zenon_H1d8 zenon_H26a zenon_H23c zenon_H82 zenon_H234 zenon_H1c2 zenon_H183 zenon_H1f1 zenon_H24e zenon_H1cd zenon_H7d zenon_H12e zenon_H192 zenon_H18a zenon_H201 zenon_H104 zenon_H231 zenon_He4 zenon_Hbc zenon_H140 zenon_Hfa zenon_H125 zenon_Hb2 zenon_H1fe zenon_H212 zenon_H164 zenon_H13b zenon_H288 zenon_H179 zenon_H94 zenon_H100 zenon_H36 zenon_H117 zenon_H2c zenon_H195 zenon_H109 zenon_H34 zenon_H141 zenon_H24 zenon_H48 zenon_H77 zenon_H1c7 zenon_H159 zenon_H3d zenon_Hb6 zenon_H1c6 zenon_H121 zenon_H33 zenon_H9f zenon_Ha0 zenon_H1a3 zenon_Hc4.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 21.97/22.18 apply (zenon_L65_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 21.97/22.18 apply (zenon_L1448_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 21.97/22.18 apply (zenon_L1242_); trivial.
% 21.97/22.18 apply (zenon_L1401_); trivial.
% 21.97/22.18 (* end of lemma zenon_L1449_ *)
% 21.97/22.18 assert (zenon_L1450_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 21.97/22.18 do 0 intro. intros zenon_H141 zenon_H68 zenon_H65 zenon_He7 zenon_Hf0 zenon_Hef zenon_H133 zenon_H196 zenon_H38.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 21.97/22.18 apply (zenon_L27_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 21.97/22.18 apply (zenon_L929_); trivial.
% 21.97/22.18 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 21.97/22.18 apply (zenon_L265_); trivial.
% 21.97/22.18 apply (zenon_L1162_); trivial.
% 21.97/22.18 (* end of lemma zenon_L1450_ *)
% 21.97/22.18 assert (zenon_L1451_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 21.97/22.18 do 0 intro. intros zenon_H117 zenon_H65 zenon_H1a3 zenon_H190 zenon_H186 zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H14c zenon_Ha0 zenon_Ha5 zenon_H195.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.08/22.19 apply (zenon_L43_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.08/22.19 apply (zenon_L1173_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.08/22.19 apply (zenon_L278_); trivial.
% 22.08/22.19 apply (zenon_L172_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1451_ *)
% 22.08/22.19 assert (zenon_L1452_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H141 zenon_H34 zenon_H109 zenon_He7 zenon_Hf0 zenon_H195 zenon_Ha5 zenon_Ha0 zenon_H1a2 zenon_Ha9 zenon_H66 zenon_H186 zenon_H190 zenon_H1a3 zenon_H65 zenon_H117 zenon_H196 zenon_H38.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.08/22.19 apply (zenon_L359_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.08/22.19 apply (zenon_L929_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.08/22.19 apply (zenon_L1451_); trivial.
% 22.08/22.19 apply (zenon_L1162_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1452_ *)
% 22.08/22.19 assert (zenon_L1453_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H13c zenon_Hb6 zenon_H3c zenon_Hc4 zenon_H11a zenon_H9f zenon_H33 zenon_H121 zenon_Hef zenon_H68 zenon_H141 zenon_H34 zenon_H109 zenon_He7 zenon_Hf0 zenon_H195 zenon_Ha0 zenon_H1a2 zenon_Ha9 zenon_H66 zenon_H186 zenon_H190 zenon_H1a3 zenon_H65 zenon_H117 zenon_H196 zenon_H38.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.08/22.19 apply (zenon_L46_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.08/22.19 apply (zenon_L538_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.08/22.19 apply (zenon_L1450_); trivial.
% 22.08/22.19 apply (zenon_L1452_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1453_ *)
% 22.08/22.19 assert (zenon_L1454_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H141 zenon_H34 zenon_H109 zenon_He7 zenon_Hf0 zenon_Hef zenon_H133 zenon_H196 zenon_H38.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.08/22.19 apply (zenon_L359_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.08/22.19 apply (zenon_L929_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.08/22.19 apply (zenon_L265_); trivial.
% 22.08/22.19 apply (zenon_L1162_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1454_ *)
% 22.08/22.19 assert (zenon_L1455_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H159 zenon_H38 zenon_H196 zenon_Hef zenon_Hf0 zenon_He7 zenon_H109 zenon_H34 zenon_H141 zenon_Ha9 zenon_Hf7.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.08/22.19 apply (zenon_L900_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.08/22.19 exact (zenon_H159 zenon_H10c).
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.08/22.19 apply (zenon_L1454_); trivial.
% 22.08/22.19 apply (zenon_L299_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1455_ *)
% 22.08/22.19 assert (zenon_L1456_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H159 zenon_Hb6 zenon_H4d zenon_Ha9 zenon_Hf7.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.08/22.19 apply (zenon_L900_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.08/22.19 exact (zenon_H159 zenon_H10c).
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.08/22.19 apply (zenon_L124_); trivial.
% 22.08/22.19 apply (zenon_L299_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1456_ *)
% 22.08/22.19 assert (zenon_L1457_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H201 zenon_H66 zenon_H159 zenon_H24 zenon_H9f zenon_H13c zenon_H48 zenon_H14c zenon_H121 zenon_H209 zenon_H20f zenon_Hf7 zenon_H77 zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_Hb6 zenon_Hc4.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.08/22.19 apply (zenon_L94_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.08/22.19 apply (zenon_L1456_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.08/22.19 apply (zenon_L255_); trivial.
% 22.08/22.19 apply (zenon_L1445_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1457_ *)
% 22.08/22.19 assert (zenon_L1458_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H1a8 zenon_H109 zenon_He7 zenon_Hf0 zenon_H55 zenon_H1c6 zenon_H3d zenon_H38 zenon_H196 zenon_H201 zenon_H66 zenon_H159 zenon_H24 zenon_H9f zenon_H13c zenon_H48 zenon_H121 zenon_H209 zenon_H20f zenon_Hf7 zenon_H77 zenon_H34 zenon_H68 zenon_H183 zenon_Hb6 zenon_Hc4 zenon_Ha0 zenon_H65 zenon_H141 zenon_Ha9.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.08/22.19 apply (zenon_L214_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.08/22.19 apply (zenon_L1455_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.08/22.19 apply (zenon_L34_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.08/22.19 apply (zenon_L55_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.08/22.19 exact (zenon_H159 zenon_H10c).
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.08/22.19 apply (zenon_L27_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.08/22.19 apply (zenon_L152_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.08/22.19 apply (zenon_L1457_); trivial.
% 22.08/22.19 apply (zenon_L1162_); trivial.
% 22.08/22.19 apply (zenon_L371_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1458_ *)
% 22.08/22.19 assert (zenon_L1459_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H117 zenon_Ha9 zenon_H65 zenon_Ha0 zenon_Hdd zenon_H191 zenon_Ha5 zenon_H195.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.08/22.19 apply (zenon_L43_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.08/22.19 apply (zenon_L152_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.08/22.19 exact (zenon_H191 zenon_H110).
% 22.08/22.19 apply (zenon_L172_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1459_ *)
% 22.08/22.19 assert (zenon_L1460_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H159 zenon_Hf3 zenon_H117 zenon_Ha9 zenon_H65 zenon_Ha0 zenon_Hdd zenon_H191 zenon_H195.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.08/22.19 apply (zenon_L900_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.08/22.19 exact (zenon_H159 zenon_H10c).
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.08/22.19 apply (zenon_L162_); trivial.
% 22.08/22.19 apply (zenon_L1459_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1460_ *)
% 22.08/22.19 assert (zenon_L1461_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H125 zenon_H1d5 zenon_H38 zenon_Hf5 zenon_He2 zenon_H1fb zenon_H36 zenon_H3c zenon_Hb6 zenon_H11a zenon_H33 zenon_H141 zenon_H109 zenon_Hf0 zenon_H1a2 zenon_H66 zenon_H186 zenon_H190 zenon_H196 zenon_H77 zenon_Hfa zenon_H195 zenon_H191 zenon_Ha9 zenon_H117 zenon_H159 zenon_H24 zenon_H9f zenon_H13c zenon_H121 zenon_H209 zenon_Ha0 zenon_H1a3 zenon_Hc4 zenon_H73 zenon_H1a8 zenon_H55 zenon_H1c6 zenon_H3d zenon_H201 zenon_H48 zenon_H20f zenon_H183 zenon_H179 zenon_H13b zenon_H34 zenon_H68.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.08/22.19 apply (zenon_L252_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.08/22.19 apply (zenon_L24_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.08/22.19 apply (zenon_L297_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.08/22.19 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.08/22.19 apply (zenon_L24_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.08/22.19 apply (zenon_L1453_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.08/22.19 apply (zenon_L22_); trivial.
% 22.08/22.19 apply (zenon_L1458_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.08/22.19 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.08/22.19 apply (zenon_L317_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.08/22.19 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.08/22.19 apply (zenon_L24_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.08/22.19 apply (zenon_L1453_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.08/22.19 apply (zenon_L62_); trivial.
% 22.08/22.19 apply (zenon_L1447_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.08/22.19 apply (zenon_L1460_); trivial.
% 22.08/22.19 apply (zenon_L543_); trivial.
% 22.08/22.19 apply (zenon_L663_); trivial.
% 22.08/22.19 apply (zenon_L291_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1461_ *)
% 22.08/22.19 assert (zenon_L1462_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H1c6 zenon_Ha9 zenon_H6e zenon_H159 zenon_Ha0 zenon_Hdd zenon_H1c7.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.08/22.19 apply (zenon_L110_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.08/22.19 exact (zenon_H159 zenon_H10c).
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.08/22.19 apply (zenon_L152_); trivial.
% 22.08/22.19 exact (zenon_H1c7 zenon_Hac).
% 22.08/22.19 (* end of lemma zenon_L1462_ *)
% 22.08/22.19 assert (zenon_L1463_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H1cf zenon_H1d5 zenon_H67 zenon_H4e zenon_H76 zenon_H195 zenon_Ha5 zenon_Ha9 zenon_Hdd zenon_Ha0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H171 zenon_H1cd.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.08/22.19 apply (zenon_L252_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.08/22.19 apply (zenon_L83_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.08/22.19 apply (zenon_L173_); trivial.
% 22.08/22.19 apply (zenon_L240_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1463_ *)
% 22.08/22.19 assert (zenon_L1464_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H159 zenon_Hf3 zenon_H1cf zenon_H1d5 zenon_H67 zenon_H4e zenon_H76 zenon_H195 zenon_Ha9 zenon_Hdd zenon_Ha0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H171 zenon_H1cd.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.08/22.19 apply (zenon_L900_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.08/22.19 exact (zenon_H159 zenon_H10c).
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.08/22.19 apply (zenon_L162_); trivial.
% 22.08/22.19 apply (zenon_L1463_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1464_ *)
% 22.08/22.19 assert (zenon_L1465_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H1a8 zenon_H1c7 zenon_H1c6 zenon_H77 zenon_H3f zenon_H68 zenon_H13c zenon_H9f zenon_H24 zenon_H159 zenon_Hf3 zenon_H1cf zenon_H1d5 zenon_H67 zenon_H4e zenon_H76 zenon_H195 zenon_Ha9 zenon_Hdd zenon_Ha0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H1cd.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.08/22.19 apply (zenon_L1462_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.08/22.19 apply (zenon_L186_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.08/22.19 apply (zenon_L54_); trivial.
% 22.08/22.19 apply (zenon_L1464_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1465_ *)
% 22.08/22.19 assert (zenon_L1466_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H117 zenon_Hb6 zenon_H54 zenon_Hdb zenon_H6f zenon_H14c zenon_Ha0 zenon_Ha5 zenon_H195.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.08/22.19 apply (zenon_L151_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.08/22.19 apply (zenon_L205_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.08/22.19 apply (zenon_L278_); trivial.
% 22.08/22.19 apply (zenon_L172_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1466_ *)
% 22.08/22.19 assert (zenon_L1467_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H141 zenon_H48 zenon_H1cd zenon_Ha9 zenon_H76 zenon_H4e zenon_H67 zenon_H1d5 zenon_H1cf zenon_Hf3 zenon_H159 zenon_H24 zenon_H9f zenon_H13c zenon_H68 zenon_H3f zenon_H77 zenon_H1c6 zenon_H1c7 zenon_H1a8 zenon_H195 zenon_Ha5 zenon_Ha0 zenon_H6f zenon_Hdb zenon_H54 zenon_Hb6 zenon_H117 zenon_H196 zenon_H38.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.08/22.19 apply (zenon_L217_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.08/22.19 apply (zenon_L1465_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.08/22.19 apply (zenon_L1466_); trivial.
% 22.08/22.19 apply (zenon_L1162_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1467_ *)
% 22.08/22.19 assert (zenon_L1468_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H159 zenon_Ha0 zenon_Hf3 zenon_Ha9 zenon_Hf7.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.08/22.19 apply (zenon_L900_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.08/22.19 exact (zenon_H159 zenon_H10c).
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.08/22.19 apply (zenon_L162_); trivial.
% 22.08/22.19 apply (zenon_L299_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1468_ *)
% 22.08/22.19 assert (zenon_L1469_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_Hfa zenon_H1c7 zenon_H141 zenon_H109 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H1c3 zenon_H1a3 zenon_H183 zenon_H34 zenon_H33 zenon_H121 zenon_H1c2 zenon_H1cf zenon_Hb6 zenon_H1a2 zenon_H201 zenon_H4e zenon_H190 zenon_H1ef zenon_H18a zenon_H16a zenon_H186 zenon_H196 zenon_H38 zenon_H1cd zenon_H67 zenon_H1d5 zenon_H1c6 zenon_H1a8 zenon_H195 zenon_H6f zenon_H54 zenon_H117 zenon_H77 zenon_H3f zenon_H68 zenon_H13c zenon_H9f zenon_H24 zenon_H159 zenon_Ha0 zenon_Hf3 zenon_Ha9.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.08/22.19 apply (zenon_L900_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.08/22.19 exact (zenon_H159 zenon_H10c).
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.08/22.19 apply (zenon_L162_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.08/22.19 apply (zenon_L1467_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.08/22.19 exact (zenon_H159 zenon_H10c).
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.08/22.19 apply (zenon_L1438_); trivial.
% 22.08/22.19 exact (zenon_H1c7 zenon_Hac).
% 22.08/22.19 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.08/22.19 apply (zenon_L186_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.08/22.19 apply (zenon_L62_); trivial.
% 22.08/22.19 apply (zenon_L1468_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1469_ *)
% 22.08/22.19 assert (zenon_L1470_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e3)) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e1)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H201 zenon_H66 zenon_H77 zenon_H133 zenon_H48 zenon_H14c zenon_H121 zenon_H33 zenon_H9f zenon_H1c7 zenon_Hb6 zenon_Hc4.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.08/22.19 apply (zenon_L94_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.08/22.19 apply (zenon_L124_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.08/22.19 apply (zenon_L255_); trivial.
% 22.08/22.19 apply (zenon_L1414_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1470_ *)
% 22.08/22.19 assert (zenon_L1471_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e3)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H1c6 zenon_H3d zenon_H159 zenon_H38 zenon_H196 zenon_H201 zenon_H66 zenon_H77 zenon_H133 zenon_H48 zenon_H121 zenon_H33 zenon_H9f zenon_Hb6 zenon_Hc4 zenon_Ha0 zenon_H54 zenon_H141 zenon_H1c7.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.08/22.19 apply (zenon_L55_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.08/22.19 exact (zenon_H159 zenon_H10c).
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.08/22.19 apply (zenon_L217_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.08/22.19 apply (zenon_L152_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.08/22.19 apply (zenon_L1470_); trivial.
% 22.08/22.19 apply (zenon_L1162_); trivial.
% 22.08/22.19 exact (zenon_H1c7 zenon_Hac).
% 22.08/22.19 (* end of lemma zenon_L1471_ *)
% 22.08/22.19 assert (zenon_L1472_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H13c zenon_H24 zenon_H141 zenon_H54 zenon_Ha0 zenon_Hc4 zenon_H9f zenon_H33 zenon_H121 zenon_H48 zenon_H77 zenon_H201 zenon_H196 zenon_H38 zenon_H1c6 zenon_Hb6 zenon_H3d zenon_H159 zenon_H1a3 zenon_H190 zenon_H186 zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H1c7.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.08/22.19 apply (zenon_L900_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.08/22.19 exact (zenon_H159 zenon_H10c).
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.08/22.19 apply (zenon_L1471_); trivial.
% 22.08/22.19 apply (zenon_L1174_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1472_ *)
% 22.08/22.19 assert (zenon_L1473_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H13c zenon_H3c zenon_H159 zenon_Ha9 zenon_H72 zenon_H141 zenon_H34 zenon_H109 zenon_H48 zenon_H195 zenon_Ha0 zenon_H53 zenon_Hb6 zenon_H2c zenon_H9f zenon_H117 zenon_H196 zenon_H38.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.08/22.19 apply (zenon_L46_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.08/22.19 exact (zenon_H159 zenon_H10c).
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.08/22.19 apply (zenon_L436_); trivial.
% 22.08/22.19 apply (zenon_L1404_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1473_ *)
% 22.08/22.19 assert (zenon_L1474_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H1c6 zenon_Ha9 zenon_H6e zenon_H159 zenon_Hb6 zenon_H53 zenon_H1c7.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.08/22.19 apply (zenon_L110_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.08/22.19 exact (zenon_H159 zenon_H10c).
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.08/22.19 apply (zenon_L113_); trivial.
% 22.08/22.19 exact (zenon_H1c7 zenon_Hac).
% 22.08/22.19 (* end of lemma zenon_L1474_ *)
% 22.08/22.19 assert (zenon_L1475_ : ((op (e1) (e0)) = (e1)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H3c zenon_H47 zenon_H24.
% 22.08/22.19 elim (classic ((op (e1) (e0)) = (op (e1) (e0)))); [ zenon_intro zenon_H28b | zenon_intro zenon_H101 ].
% 22.08/22.19 cut (((op (e1) (e0)) = (op (e1) (e0))) = ((op (e0) (e0)) = (op (e1) (e0)))).
% 22.08/22.19 intro zenon_D_pnotp.
% 22.08/22.19 apply zenon_H24.
% 22.08/22.19 rewrite <- zenon_D_pnotp.
% 22.08/22.19 exact zenon_H28b.
% 22.08/22.19 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H101].
% 22.08/22.19 cut (((op (e1) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 22.08/22.19 congruence.
% 22.08/22.19 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e0) (e0)))).
% 22.08/22.19 intro zenon_D_pnotp.
% 22.08/22.19 apply zenon_H28c.
% 22.08/22.19 rewrite <- zenon_D_pnotp.
% 22.08/22.19 exact zenon_H3c.
% 22.08/22.19 cut (((e1) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 22.08/22.19 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H101].
% 22.08/22.19 congruence.
% 22.08/22.19 apply zenon_H101. apply refl_equal.
% 22.08/22.19 apply zenon_H28d. apply sym_equal. exact zenon_H47.
% 22.08/22.19 apply zenon_H101. apply refl_equal.
% 22.08/22.19 apply zenon_H101. apply refl_equal.
% 22.08/22.19 (* end of lemma zenon_L1475_ *)
% 22.08/22.19 assert (zenon_L1476_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((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 (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((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)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (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 (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e0)) = (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)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H15d zenon_H24 zenon_H1d8 zenon_H25b zenon_Hf5 zenon_H20f zenon_H195 zenon_H1a2 zenon_H186 zenon_H190 zenon_H26a zenon_H1c3 zenon_H1cf zenon_He4 zenon_H23c zenon_H4e zenon_H201 zenon_H13f zenon_H1f1 zenon_H1b7 zenon_H117 zenon_H109 zenon_H6f zenon_H14c zenon_H1ef zenon_H18a zenon_H34 zenon_H1bb zenon_H1b4 zenon_H129 zenon_H183 zenon_H111 zenon_H104 zenon_H18d zenon_H5d zenon_H3c zenon_H1cb zenon_H68 zenon_H77 zenon_H121 zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_H33 zenon_H13a zenon_H1c7 zenon_H1a3 zenon_Hc4 zenon_H65 zenon_H2c zenon_H139 zenon_H38 zenon_H48.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.08/22.19 apply (zenon_L1475_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.08/22.19 apply (zenon_L1301_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.08/22.19 apply (zenon_L1410_); trivial.
% 22.08/22.19 apply (zenon_L246_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1476_ *)
% 22.08/22.19 assert (zenon_L1477_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H141 zenon_H34 zenon_H109 zenon_He7 zenon_Hf0 zenon_H1a3 zenon_Ha0 zenon_Ha5 zenon_H186 zenon_H153 zenon_Hb6 zenon_H1a2 zenon_H196 zenon_H38.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.08/22.19 apply (zenon_L359_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.08/22.19 apply (zenon_L929_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.08/22.19 apply (zenon_L1417_); trivial.
% 22.08/22.19 apply (zenon_L1162_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1477_ *)
% 22.08/22.19 assert (zenon_L1478_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H159 zenon_Ha9 zenon_H72 zenon_H141 zenon_H34 zenon_H109 zenon_He7 zenon_Hf0 zenon_H1a3 zenon_Ha0 zenon_H186 zenon_H153 zenon_Hb6 zenon_H1a2 zenon_H196 zenon_H38.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.08/22.19 apply (zenon_L900_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.08/22.19 exact (zenon_H159 zenon_H10c).
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.08/22.19 apply (zenon_L436_); trivial.
% 22.08/22.19 apply (zenon_L1477_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1478_ *)
% 22.08/22.19 assert (zenon_L1479_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H141 zenon_H34 zenon_H109 zenon_H6d zenon_H68 zenon_H1a3 zenon_Ha0 zenon_H72 zenon_Ha9 zenon_H153 zenon_Hb6 zenon_H1a2 zenon_H196 zenon_H38.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.08/22.19 apply (zenon_L359_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.08/22.19 apply (zenon_L54_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.08/22.19 apply (zenon_L1170_); trivial.
% 22.08/22.19 apply (zenon_L1162_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1479_ *)
% 22.08/22.19 assert (zenon_L1480_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H12e zenon_H48 zenon_H3f zenon_H11a zenon_Hc4 zenon_H1cb zenon_H18a zenon_H1bb zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H160 zenon_H1c7.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.08/22.19 apply (zenon_L456_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.08/22.19 apply (zenon_L552_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.08/22.19 apply (zenon_L847_); trivial.
% 22.08/22.19 apply (zenon_L848_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1480_ *)
% 22.08/22.19 assert (zenon_L1481_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H159 zenon_H72 zenon_H141 zenon_H48 zenon_H68 zenon_H195 zenon_Ha0 zenon_H6d zenon_Ha9 zenon_H54 zenon_Hb6 zenon_H117 zenon_H196 zenon_H38.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.08/22.19 apply (zenon_L900_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.08/22.19 exact (zenon_H159 zenon_H10c).
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.08/22.19 apply (zenon_L436_); trivial.
% 22.08/22.19 apply (zenon_L1393_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1481_ *)
% 22.08/22.19 assert (zenon_L1482_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_H1cf zenon_H1d5 zenon_H67 zenon_H38 zenon_H196 zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha9 zenon_Ha0 zenon_H195 zenon_H68 zenon_H48 zenon_H141 zenon_H159 zenon_H24 zenon_H9f zenon_H13c zenon_H190 zenon_H6d zenon_H171 zenon_H1cd.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.08/22.19 apply (zenon_L252_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.08/22.19 apply (zenon_L1481_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.08/22.19 apply (zenon_L366_); trivial.
% 22.08/22.19 apply (zenon_L240_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1482_ *)
% 22.08/22.19 assert (zenon_L1483_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> False).
% 22.08/22.19 do 0 intro. intros zenon_Heb zenon_H100 zenon_H16a zenon_H13a zenon_H1c7 zenon_H2c zenon_H139 zenon_H13c zenon_H24 zenon_H159 zenon_H195 zenon_H117 zenon_He7 zenon_H9f zenon_H33 zenon_H121 zenon_H104 zenon_H7d zenon_H18a zenon_H212 zenon_H12e zenon_H1d5 zenon_H67 zenon_H1c2 zenon_Hf0 zenon_H109 zenon_H11a zenon_H24e zenon_H1b7 zenon_H73 zenon_He4 zenon_H1d8 zenon_H234 zenon_H55 zenon_H1a8 zenon_H1cd zenon_H231 zenon_H192 zenon_H183 zenon_H34 zenon_Hbc zenon_H191 zenon_H140 zenon_H38 zenon_H196 zenon_H1cf zenon_H1a3 zenon_Ha0 zenon_Ha9 zenon_H153 zenon_Hb6 zenon_H1a2 zenon_H190 zenon_H1c3 zenon_H68 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1cb zenon_H54 zenon_H48 zenon_H141 zenon_H77.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.08/22.19 apply (zenon_L69_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.08/22.19 apply (zenon_L1409_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.08/22.19 apply (zenon_L186_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.08/22.19 apply (zenon_L252_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.08/22.19 apply (zenon_L1479_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.08/22.19 apply (zenon_L366_); trivial.
% 22.08/22.19 apply (zenon_L1480_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.08/22.19 apply (zenon_L217_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.08/22.19 apply (zenon_L929_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.08/22.19 apply (zenon_L1410_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.08/22.19 apply (zenon_L1482_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.08/22.19 apply (zenon_L1411_); trivial.
% 22.08/22.19 apply (zenon_L1171_); trivial.
% 22.08/22.19 apply (zenon_L1162_); trivial.
% 22.08/22.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.08/22.19 apply (zenon_L184_); trivial.
% 22.08/22.19 apply (zenon_L1430_); trivial.
% 22.08/22.19 (* end of lemma zenon_L1483_ *)
% 22.08/22.19 assert (zenon_L1484_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (~((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)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_Hfa zenon_H3c zenon_H186 zenon_H38 zenon_H196 zenon_H13f zenon_H141 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H68 zenon_H1c3 zenon_H190 zenon_H1a2 zenon_H153 zenon_Ha0 zenon_H1a3 zenon_H1cf zenon_H140 zenon_Hbc zenon_H34 zenon_H183 zenon_H192 zenon_H231 zenon_H1cd zenon_H1a8 zenon_H55 zenon_H234 zenon_H1d8 zenon_He4 zenon_H73 zenon_H1b7 zenon_H24e zenon_H11a zenon_H109 zenon_Hf0 zenon_H1c2 zenon_H67 zenon_H1d5 zenon_H12e zenon_H212 zenon_H18a zenon_H7d zenon_H104 zenon_H121 zenon_H33 zenon_He7 zenon_H195 zenon_H159 zenon_H24 zenon_H13c zenon_H139 zenon_H1c7 zenon_H13a zenon_H16a zenon_H100 zenon_Heb zenon_H1f1 zenon_H48 zenon_H117 zenon_H9f zenon_H2c zenon_Ha9 zenon_H191 zenon_Hb6 zenon_H7f zenon_H77.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.10/22.20 apply (zenon_L24_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.10/22.20 apply (zenon_L1316_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.10/22.20 apply (zenon_L1478_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.10/22.20 apply (zenon_L1409_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.10/22.20 apply (zenon_L1455_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.10/22.20 apply (zenon_L359_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.10/22.20 apply (zenon_L54_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.10/22.20 apply (zenon_L1483_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.10/22.20 apply (zenon_L284_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.10/22.20 apply (zenon_L255_); trivial.
% 22.10/22.20 apply (zenon_L1066_); trivial.
% 22.10/22.20 apply (zenon_L1162_); trivial.
% 22.10/22.20 apply (zenon_L169_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1484_ *)
% 22.10/22.20 assert (zenon_L1485_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (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 (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_Hf5 zenon_H1a2 zenon_H191 zenon_Heb zenon_H100 zenon_H16a zenon_H2c zenon_H139 zenon_H13c zenon_H24 zenon_H159 zenon_H195 zenon_H117 zenon_H9f zenon_H104 zenon_H7d zenon_H18a zenon_H212 zenon_H12e zenon_H1d5 zenon_H1c2 zenon_Hf0 zenon_H109 zenon_H11a zenon_H24e zenon_H1b7 zenon_H73 zenon_He4 zenon_H1d8 zenon_H234 zenon_H55 zenon_H1a8 zenon_H1cd zenon_H231 zenon_H192 zenon_H183 zenon_H34 zenon_Hbc zenon_H140 zenon_H196 zenon_H1cf zenon_H190 zenon_H1c3 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1cb zenon_H54 zenon_H48 zenon_H141 zenon_H179 zenon_H13b zenon_Hc4 zenon_H1a3 zenon_H1c7 zenon_H13a zenon_H33 zenon_Ha9 zenon_Hb6 zenon_Ha0 zenon_H121 zenon_H153 zenon_H77 zenon_H38 zenon_H68.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.10/22.20 apply (zenon_L297_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.10/22.20 apply (zenon_L1483_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.10/22.20 apply (zenon_L1265_); trivial.
% 22.10/22.20 apply (zenon_L663_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.10/22.20 apply (zenon_L1409_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.10/22.20 apply (zenon_L94_); trivial.
% 22.10/22.20 apply (zenon_L165_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1485_ *)
% 22.10/22.20 assert (zenon_L1486_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e1)) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H16a zenon_H67 zenon_Hb6 zenon_H191 zenon_Ha9 zenon_H2c zenon_H9f zenon_H117 zenon_H181 zenon_H104 zenon_H7f zenon_H34 zenon_H68 zenon_H183 zenon_H77 zenon_H128.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.10/22.20 apply (zenon_L180_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.10/22.20 apply (zenon_L1066_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.10/22.20 apply (zenon_L420_); trivial.
% 22.10/22.20 apply (zenon_L218_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1486_ *)
% 22.10/22.20 assert (zenon_L1487_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H13f zenon_H3c zenon_H100 zenon_H195 zenon_Ha5 zenon_Ha0 zenon_H48 zenon_H14c zenon_H16a zenon_H67 zenon_Hb6 zenon_H191 zenon_Ha9 zenon_H2c zenon_H9f zenon_H117 zenon_H181 zenon_H104 zenon_H7f zenon_H34 zenon_H68 zenon_H183 zenon_H77.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.10/22.20 apply (zenon_L69_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.10/22.20 apply (zenon_L1403_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.10/22.20 apply (zenon_L255_); trivial.
% 22.10/22.20 apply (zenon_L1486_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1487_ *)
% 22.10/22.20 assert (zenon_L1488_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H141 zenon_H109 zenon_He7 zenon_Hf0 zenon_H77 zenon_H183 zenon_H68 zenon_H34 zenon_H7f zenon_H104 zenon_H181 zenon_H117 zenon_H9f zenon_H2c zenon_Ha9 zenon_H191 zenon_Hb6 zenon_H67 zenon_H16a zenon_H48 zenon_Ha0 zenon_Ha5 zenon_H195 zenon_H100 zenon_H3c zenon_H13f zenon_H196 zenon_H38.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.10/22.20 apply (zenon_L359_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.10/22.20 apply (zenon_L929_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.10/22.20 apply (zenon_L1487_); trivial.
% 22.10/22.20 apply (zenon_L1162_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1488_ *)
% 22.10/22.20 assert (zenon_L1489_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H13c zenon_H159 zenon_Hef zenon_H141 zenon_H109 zenon_He7 zenon_Hf0 zenon_H77 zenon_H183 zenon_H68 zenon_H34 zenon_H7f zenon_H104 zenon_H181 zenon_H117 zenon_H9f zenon_H2c zenon_Ha9 zenon_H191 zenon_Hb6 zenon_H67 zenon_H16a zenon_H48 zenon_Ha0 zenon_H195 zenon_H100 zenon_H3c zenon_H13f zenon_H196 zenon_H38.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.10/22.20 apply (zenon_L46_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.10/22.20 exact (zenon_H159 zenon_H10c).
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.10/22.20 apply (zenon_L1454_); trivial.
% 22.10/22.20 apply (zenon_L1488_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1489_ *)
% 22.10/22.20 assert (zenon_L1490_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H26a zenon_Ha0 zenon_H1cd zenon_Hac zenon_H191 zenon_H186 zenon_H153 zenon_H1a2 zenon_H1b7 zenon_H7f zenon_Hb6 zenon_H3c zenon_H5d zenon_H38 zenon_H48 zenon_H18d zenon_Hc4.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H9e | zenon_intro zenon_H26b ].
% 22.10/22.20 apply (zenon_L156_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H26c ].
% 22.10/22.20 apply (zenon_L1439_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc3 ].
% 22.10/22.20 apply (zenon_L1290_); trivial.
% 22.10/22.20 exact (zenon_Hc4 zenon_Hc3).
% 22.10/22.20 (* end of lemma zenon_L1490_ *)
% 22.10/22.20 assert (zenon_L1491_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (((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)) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H121 zenon_H209 zenon_H18d zenon_H48 zenon_H38 zenon_H5d zenon_H3c zenon_Hb6 zenon_H7f zenon_H1b7 zenon_H1a2 zenon_H153 zenon_H186 zenon_H191 zenon_H1cd zenon_Ha0 zenon_H26a zenon_H163 zenon_H133 zenon_Hc4.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 22.10/22.20 exact (zenon_H209 zenon_H9d).
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 22.10/22.20 apply (zenon_L1490_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 22.10/22.20 apply (zenon_L617_); trivial.
% 22.10/22.20 exact (zenon_Hc4 zenon_Hc3).
% 22.10/22.20 (* end of lemma zenon_L1491_ *)
% 22.10/22.20 assert (zenon_L1492_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H13c zenon_H159 zenon_Hc4 zenon_H163 zenon_H26a zenon_Ha0 zenon_H1cd zenon_H191 zenon_H186 zenon_H153 zenon_H1a2 zenon_H1b7 zenon_H7f zenon_Hb6 zenon_H3c zenon_H5d zenon_H38 zenon_H48 zenon_H18d zenon_H209 zenon_H121 zenon_Ha9 zenon_Hf7.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.10/22.20 apply (zenon_L46_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.10/22.20 exact (zenon_H159 zenon_H10c).
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.10/22.20 apply (zenon_L1491_); trivial.
% 22.10/22.20 apply (zenon_L299_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1492_ *)
% 22.10/22.20 assert (zenon_L1493_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_Hfa zenon_H196 zenon_H13f zenon_H100 zenon_H195 zenon_H16a zenon_H67 zenon_H2c zenon_H9f zenon_H117 zenon_H181 zenon_H104 zenon_H34 zenon_H68 zenon_H183 zenon_H77 zenon_Hf0 zenon_He7 zenon_H109 zenon_H141 zenon_H24 zenon_H13c zenon_H159 zenon_Hc4 zenon_H163 zenon_H26a zenon_Ha0 zenon_H1cd zenon_H191 zenon_H186 zenon_H153 zenon_H1a2 zenon_H1b7 zenon_H7f zenon_Hb6 zenon_H3c zenon_H5d zenon_H38 zenon_H48 zenon_H18d zenon_H209 zenon_H121 zenon_Ha9.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.10/22.20 apply (zenon_L24_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.10/22.20 apply (zenon_L1489_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.10/22.20 apply (zenon_L900_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.10/22.20 exact (zenon_H159 zenon_H10c).
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.10/22.20 apply (zenon_L436_); trivial.
% 22.10/22.20 apply (zenon_L1488_); trivial.
% 22.10/22.20 apply (zenon_L1492_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1493_ *)
% 22.10/22.20 assert (zenon_L1494_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_He4 zenon_H1d8 zenon_H23c zenon_H1c7 zenon_H6e zenon_H1c6 zenon_Hfa zenon_H196 zenon_H13f zenon_H100 zenon_H195 zenon_H16a zenon_H67 zenon_H2c zenon_H9f zenon_H117 zenon_H181 zenon_H104 zenon_H34 zenon_H68 zenon_H183 zenon_H77 zenon_Hf0 zenon_He7 zenon_H109 zenon_H141 zenon_H24 zenon_H13c zenon_H159 zenon_Hc4 zenon_H163 zenon_H26a zenon_Ha0 zenon_H1cd zenon_H191 zenon_H186 zenon_H153 zenon_H1a2 zenon_H1b7 zenon_Hb6 zenon_H3c zenon_H5d zenon_H38 zenon_H48 zenon_H18d zenon_H209 zenon_H121 zenon_Ha9.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.10/22.20 apply (zenon_L738_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.10/22.20 apply (zenon_L492_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.10/22.20 apply (zenon_L1474_); trivial.
% 22.10/22.20 apply (zenon_L1493_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1494_ *)
% 22.10/22.20 assert (zenon_L1495_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H12e zenon_H48 zenon_H181 zenon_H104 zenon_H8a zenon_H77 zenon_H34 zenon_H68 zenon_H183 zenon_H153 zenon_H177 zenon_He7 zenon_H171.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.10/22.20 apply (zenon_L456_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.10/22.20 apply (zenon_L420_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.10/22.20 apply (zenon_L566_); trivial.
% 22.10/22.20 apply (zenon_L964_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1495_ *)
% 22.10/22.20 assert (zenon_L1496_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((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).
% 22.10/22.20 do 0 intro. intros zenon_Hfa zenon_H77 zenon_H24 zenon_H38 zenon_H196 zenon_H117 zenon_H9f zenon_H2c zenon_Hb6 zenon_H53 zenon_Ha0 zenon_H48 zenon_H109 zenon_H34 zenon_H141 zenon_Ha9 zenon_H159 zenon_H3c zenon_H13c zenon_H93 zenon_H195.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.10/22.20 apply (zenon_L24_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.10/22.20 apply (zenon_L1405_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.10/22.20 apply (zenon_L1473_); trivial.
% 22.10/22.20 apply (zenon_L228_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1496_ *)
% 22.10/22.20 assert (zenon_L1497_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H12e zenon_H177 zenon_He4 zenon_H1d8 zenon_H23c zenon_H1c7 zenon_H1c6 zenon_H1a8 zenon_Hfa zenon_H196 zenon_H13f zenon_H100 zenon_H195 zenon_H16a zenon_H67 zenon_H2c zenon_H9f zenon_H117 zenon_H181 zenon_H104 zenon_H34 zenon_H68 zenon_H183 zenon_H77 zenon_Hf0 zenon_He7 zenon_H109 zenon_H141 zenon_H24 zenon_H13c zenon_H159 zenon_Hc4 zenon_H163 zenon_H26a zenon_Ha0 zenon_H1cd zenon_H191 zenon_H186 zenon_H153 zenon_H1a2 zenon_H1b7 zenon_Hb6 zenon_H3c zenon_H5d zenon_H38 zenon_H48 zenon_H18d zenon_H209 zenon_H121 zenon_Ha9.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.10/22.20 apply (zenon_L738_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.10/22.20 apply (zenon_L492_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.10/22.20 apply (zenon_L24_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.10/22.20 apply (zenon_L1405_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.10/22.20 apply (zenon_L1473_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.10/22.20 apply (zenon_L1494_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.10/22.20 apply (zenon_L1455_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.10/22.20 apply (zenon_L56_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.10/22.20 apply (zenon_L180_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.10/22.20 apply (zenon_L56_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.10/22.20 apply (zenon_L1495_); trivial.
% 22.10/22.20 apply (zenon_L1496_); trivial.
% 22.10/22.20 apply (zenon_L1493_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1497_ *)
% 22.10/22.20 assert (zenon_L1498_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H13c zenon_H3c zenon_H159 zenon_Hf3 zenon_H141 zenon_H34 zenon_H109 zenon_H48 zenon_H195 zenon_Ha0 zenon_H53 zenon_Hb6 zenon_H2c zenon_H9f zenon_H117 zenon_H196 zenon_H38.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.10/22.20 apply (zenon_L46_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.10/22.20 exact (zenon_H159 zenon_H10c).
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.10/22.20 apply (zenon_L162_); trivial.
% 22.10/22.20 apply (zenon_L1404_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1498_ *)
% 22.10/22.20 assert (zenon_L1499_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_He4 zenon_H1d8 zenon_H153 zenon_H23c zenon_Hfa zenon_H38 zenon_H196 zenon_H13f zenon_H3c zenon_H100 zenon_H195 zenon_H48 zenon_H16a zenon_H67 zenon_Hb6 zenon_H191 zenon_H2c zenon_H117 zenon_H181 zenon_H104 zenon_H34 zenon_H183 zenon_H77 zenon_Hf0 zenon_He7 zenon_H109 zenon_H141 zenon_H68 zenon_H13c zenon_H9f zenon_H24 zenon_H159 zenon_Ha0 zenon_Hf3 zenon_Ha9.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.10/22.20 apply (zenon_L738_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.10/22.20 apply (zenon_L492_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.10/22.20 apply (zenon_L1498_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.10/22.20 apply (zenon_L24_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.10/22.20 apply (zenon_L1489_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.10/22.20 apply (zenon_L62_); trivial.
% 22.10/22.20 apply (zenon_L1468_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1499_ *)
% 22.10/22.20 assert (zenon_L1500_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_Heb zenon_H100 zenon_Ha9 zenon_Ha0 zenon_H159 zenon_H24 zenon_H9f zenon_H13c zenon_H1a8 zenon_H1c7 zenon_H1c6 zenon_H1cf zenon_H1d5 zenon_H67 zenon_H4e zenon_H195 zenon_Hdd zenon_H54 zenon_Hb6 zenon_H117 zenon_H1cd zenon_Hfa zenon_Hf3 zenon_H48 zenon_H1c3 zenon_H68 zenon_H77 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H181.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.10/22.20 apply (zenon_L69_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.10/22.20 apply (zenon_L1465_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.10/22.20 apply (zenon_L186_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.10/22.20 apply (zenon_L62_); trivial.
% 22.10/22.20 apply (zenon_L1468_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.10/22.20 apply (zenon_L117_); trivial.
% 22.10/22.20 apply (zenon_L414_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1500_ *)
% 22.10/22.20 assert (zenon_L1501_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 22.10/22.20 do 0 intro. intros zenon_He2 zenon_H1fb zenon_H36 zenon_Hf0 zenon_H1d8 zenon_H77 zenon_H183 zenon_H68 zenon_H104 zenon_H181 zenon_H117 zenon_H9f zenon_H2c zenon_Ha9 zenon_H191 zenon_Hb6 zenon_H67 zenon_H16a zenon_H111 zenon_H153 zenon_H141 zenon_H109 zenon_H48 zenon_H195 zenon_Ha0 zenon_H196 zenon_H38 zenon_Heb zenon_H100 zenon_H159 zenon_H24 zenon_H13c zenon_H1a8 zenon_H1c7 zenon_H1c6 zenon_H1cf zenon_H1d5 zenon_H4e zenon_H1cd zenon_Hfa zenon_Hf3 zenon_H1c3 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H13f zenon_H121 zenon_H209 zenon_H18d zenon_H5d zenon_H3c zenon_H1b7 zenon_H1a2 zenon_H186 zenon_H26a zenon_H163 zenon_H23c zenon_He4 zenon_H7d zenon_H34.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.10/22.20 apply (zenon_L317_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.10/22.20 apply (zenon_L1499_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.10/22.20 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.10/22.20 apply (zenon_L1242_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.10/22.20 apply (zenon_L492_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.10/22.20 apply (zenon_L111_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.10/22.20 apply (zenon_L46_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.10/22.20 exact (zenon_H159 zenon_H10c).
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.10/22.20 apply (zenon_L1491_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.10/22.20 apply (zenon_L1500_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.10/22.20 apply (zenon_L1404_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.10/22.20 apply (zenon_L148_); trivial.
% 22.10/22.20 apply (zenon_L1486_); trivial.
% 22.10/22.20 apply (zenon_L802_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1501_ *)
% 22.10/22.20 assert (zenon_L1502_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((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 (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H121 zenon_H1cb zenon_H34 zenon_H18a zenon_H1bb zenon_H65 zenon_H1ef zenon_H186 zenon_Hf7 zenon_H13a zenon_H33 zenon_H14c zenon_H6f zenon_H109 zenon_H117 zenon_H18d zenon_H48 zenon_H5d zenon_H3c zenon_H1b7 zenon_H1f1 zenon_H77 zenon_H13f zenon_H201 zenon_H4e zenon_H190 zenon_H23c zenon_He4 zenon_Ha9 zenon_H38 zenon_Ha0 zenon_H1cf zenon_H1c7 zenon_H106 zenon_Hb6 zenon_Hc4.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 22.10/22.20 apply (zenon_L1295_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 22.10/22.20 exact (zenon_H1c7 zenon_Hac).
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 22.10/22.20 apply (zenon_L363_); trivial.
% 22.10/22.20 exact (zenon_Hc4 zenon_Hc3).
% 22.10/22.20 (* end of lemma zenon_L1502_ *)
% 22.10/22.20 assert (zenon_L1503_ : (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((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 (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H1d8 zenon_H3d zenon_H133 zenon_H121 zenon_H1cb zenon_H34 zenon_H18a zenon_H1bb zenon_H65 zenon_H1ef zenon_H186 zenon_Hf7 zenon_H13a zenon_H33 zenon_H14c zenon_H6f zenon_H109 zenon_H117 zenon_H18d zenon_H48 zenon_H5d zenon_H3c zenon_H1b7 zenon_H1f1 zenon_H77 zenon_H13f zenon_H201 zenon_H4e zenon_H190 zenon_H23c zenon_He4 zenon_Ha9 zenon_H38 zenon_Ha0 zenon_H1cf zenon_H1c7 zenon_Hb6 zenon_Hc4.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.10/22.20 apply (zenon_L738_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.10/22.20 apply (zenon_L124_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.10/22.20 apply (zenon_L255_); trivial.
% 22.10/22.20 apply (zenon_L1502_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1503_ *)
% 22.10/22.20 assert (zenon_L1504_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((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)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H1c3 zenon_H68 zenon_Hb6 zenon_H1c7 zenon_H1cf zenon_Ha0 zenon_Ha9 zenon_He4 zenon_H23c zenon_H190 zenon_H4e zenon_H201 zenon_H13f zenon_H1f1 zenon_H1b7 zenon_H3c zenon_H5d zenon_H117 zenon_H109 zenon_H6f zenon_H14c zenon_H33 zenon_H13a zenon_H186 zenon_H1ef zenon_H65 zenon_H18a zenon_H34 zenon_H121 zenon_H133 zenon_H3d zenon_H1d8 zenon_H1cb zenon_H106 zenon_H77 zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H181.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 22.10/22.20 apply (zenon_L165_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 22.10/22.20 apply (zenon_L1503_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 22.10/22.20 apply (zenon_L1159_); trivial.
% 22.10/22.20 exact (zenon_H181 zenon_H17c).
% 22.10/22.20 (* end of lemma zenon_L1504_ *)
% 22.10/22.20 assert (zenon_L1505_ : (~((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 (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((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)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((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)) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H190 zenon_H1c3 zenon_H68 zenon_H1cf zenon_Ha0 zenon_Ha9 zenon_He4 zenon_H23c zenon_H4e zenon_H201 zenon_H13f zenon_H1f1 zenon_H1b7 zenon_H117 zenon_H109 zenon_H6f zenon_H14c zenon_H13a zenon_H186 zenon_H1ef zenon_H65 zenon_H18a zenon_H34 zenon_H3d zenon_H1d8 zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_H181 zenon_H66 zenon_H1a2 zenon_Hc4 zenon_H104 zenon_H1c7 zenon_H9f zenon_H33 zenon_H121 zenon_H18d zenon_H48 zenon_H38 zenon_H5d zenon_H3c zenon_Hb6 zenon_H1cb.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.10/22.20 apply (zenon_L94_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.10/22.20 apply (zenon_L14_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.10/22.20 apply (zenon_L255_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.10/22.20 apply (zenon_L43_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.10/22.20 apply (zenon_L193_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.10/22.20 apply (zenon_L1504_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.10/22.20 apply (zenon_L163_); trivial.
% 22.10/22.20 apply (zenon_L363_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.10/22.20 apply (zenon_L819_); trivial.
% 22.10/22.20 apply (zenon_L1151_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1505_ *)
% 22.10/22.20 assert (zenon_L1506_ : (~((op (e0) (e3)) = (op (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 (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((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)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((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 (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H196 zenon_H190 zenon_H1c3 zenon_H68 zenon_H1cf zenon_He4 zenon_H23c zenon_H4e zenon_H201 zenon_H13f zenon_H1f1 zenon_H1b7 zenon_H117 zenon_H109 zenon_H6f zenon_H13a zenon_H186 zenon_H1ef zenon_H65 zenon_H18a zenon_H34 zenon_H1d8 zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_H181 zenon_H1a2 zenon_Hc4 zenon_H104 zenon_H1c7 zenon_H33 zenon_H121 zenon_H18d zenon_H48 zenon_H5d zenon_H3c zenon_H1cb zenon_Hf0 zenon_He7 zenon_H141 zenon_Hb6 zenon_H3d zenon_Ha9 zenon_H66 zenon_H38 zenon_Ha0.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.10/22.20 apply (zenon_L359_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.10/22.20 apply (zenon_L929_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.10/22.20 apply (zenon_L1505_); trivial.
% 22.10/22.20 apply (zenon_L1162_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.10/22.20 apply (zenon_L55_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.10/22.20 apply (zenon_L193_); trivial.
% 22.10/22.20 apply (zenon_L156_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1506_ *)
% 22.10/22.20 assert (zenon_L1507_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H183 zenon_H68 zenon_H6e zenon_H192 zenon_Hc4 zenon_H1cb zenon_H106 zenon_H34 zenon_H18a zenon_H1bb zenon_H181.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.10/22.20 apply (zenon_L291_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.10/22.20 apply (zenon_L1128_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.10/22.20 apply (zenon_L847_); trivial.
% 22.10/22.20 exact (zenon_H181 zenon_H17c).
% 22.10/22.20 (* end of lemma zenon_L1507_ *)
% 22.10/22.20 assert (zenon_L1508_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H183 zenon_H68 zenon_H6e zenon_H192 zenon_H1c7 zenon_H1cd zenon_H11f zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H181.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.10/22.20 apply (zenon_L291_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.10/22.20 apply (zenon_L1128_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.10/22.20 apply (zenon_L848_); trivial.
% 22.10/22.20 exact (zenon_H181 zenon_H17c).
% 22.10/22.20 (* end of lemma zenon_L1508_ *)
% 22.10/22.20 assert (zenon_L1509_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H12e zenon_H48 zenon_H104 zenon_H8a zenon_H77 zenon_H1bb zenon_H18a zenon_H1cb zenon_Hc4 zenon_H183 zenon_H68 zenon_H6e zenon_H192 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H181.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.10/22.20 apply (zenon_L456_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.10/22.20 apply (zenon_L420_); trivial.
% 22.10/22.20 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.10/22.20 apply (zenon_L1507_); trivial.
% 22.10/22.20 apply (zenon_L1508_); trivial.
% 22.10/22.20 (* end of lemma zenon_L1509_ *)
% 22.10/22.20 assert (zenon_L1510_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.10/22.20 do 0 intro. intros zenon_H12e zenon_H77 zenon_H93 zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H1cb zenon_H18a zenon_H1bb zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H160 zenon_H1c7.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.10/22.21 apply (zenon_L456_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.10/22.21 apply (zenon_L1276_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.10/22.21 apply (zenon_L847_); trivial.
% 22.10/22.21 apply (zenon_L848_); trivial.
% 22.10/22.21 (* end of lemma zenon_L1510_ *)
% 22.10/22.21 assert (zenon_L1511_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (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) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.10/22.21 do 0 intro. intros zenon_H1cf zenon_H153 zenon_Ha9 zenon_H133 zenon_H181 zenon_H192 zenon_H6e zenon_H68 zenon_H183 zenon_H104 zenon_H12e zenon_H77 zenon_H93 zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H1cb zenon_H18a zenon_H1bb zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.10/22.21 apply (zenon_L94_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.10/22.21 apply (zenon_L436_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.10/22.21 apply (zenon_L1509_); trivial.
% 22.10/22.21 apply (zenon_L1510_); trivial.
% 22.10/22.21 (* end of lemma zenon_L1511_ *)
% 22.10/22.21 assert (zenon_L1512_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.10/22.21 do 0 intro. intros zenon_H141 zenon_H93 zenon_H77 zenon_H111 zenon_H153 zenon_H3f zenon_H48 zenon_H13f zenon_He7 zenon_Hf0 zenon_H195 zenon_Ha5 zenon_Ha0 zenon_H6f zenon_Hdb zenon_H54 zenon_Hb6 zenon_H117 zenon_H196 zenon_H38.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.10/22.21 apply (zenon_L219_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.10/22.21 apply (zenon_L929_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.10/22.21 apply (zenon_L1466_); trivial.
% 22.10/22.21 apply (zenon_L1162_); trivial.
% 22.10/22.21 (* end of lemma zenon_L1512_ *)
% 22.10/22.21 assert (zenon_L1513_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False).
% 22.10/22.21 do 0 intro. intros zenon_H231 zenon_Hbc zenon_H11f zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H1bb zenon_H18a zenon_H1cb zenon_Hc4 zenon_H18d zenon_H48 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H93 zenon_H77 zenon_H12e zenon_H110 zenon_H104.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H11d | zenon_intro zenon_H232 ].
% 22.10/22.21 apply (zenon_L328_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H106 | zenon_intro zenon_H233 ].
% 22.10/22.21 apply (zenon_L846_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H160 | zenon_intro zenon_Hbb ].
% 22.10/22.21 apply (zenon_L1510_); trivial.
% 22.10/22.21 apply (zenon_L129_); trivial.
% 22.10/22.21 (* end of lemma zenon_L1513_ *)
% 22.10/22.21 assert (zenon_L1514_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 22.10/22.21 do 0 intro. intros zenon_Hca zenon_H48 zenon_H34 zenon_H18d zenon_H1b7 zenon_H77 zenon_H1b4 zenon_H20f zenon_H129 zenon_H93 zenon_Hc4 zenon_H1bb zenon_H38 zenon_H1cb zenon_H231 zenon_H110 zenon_H104 zenon_H18a zenon_H24e zenon_H1cd zenon_H7d zenon_H12e zenon_Hbc.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.10/22.21 apply (zenon_L456_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.10/22.21 apply (zenon_L1276_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.10/22.21 apply (zenon_L1159_); trivial.
% 22.10/22.21 apply (zenon_L1513_); trivial.
% 22.10/22.21 apply (zenon_L555_); trivial.
% 22.10/22.21 (* end of lemma zenon_L1514_ *)
% 22.10/22.21 assert (zenon_L1515_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 22.10/22.21 do 0 intro. intros zenon_H36 zenon_H48 zenon_H18d zenon_H1b7 zenon_H77 zenon_H1b4 zenon_H20f zenon_H129 zenon_H93 zenon_Hc4 zenon_H1bb zenon_H1cb zenon_H231 zenon_H110 zenon_H104 zenon_H18a zenon_H24e zenon_H1cd zenon_H7d zenon_H12e zenon_Hbc.
% 22.10/22.21 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.10/22.21 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.10/22.21 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.10/22.21 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.10/22.21 apply (zenon_L1514_); trivial.
% 22.10/22.21 (* end of lemma zenon_L1515_ *)
% 22.10/22.21 assert (zenon_L1516_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.10/22.21 do 0 intro. intros zenon_H25e zenon_H1fb zenon_H2a zenon_H1b4 zenon_H11f zenon_H196 zenon_H93 zenon_Ha5 zenon_Hf5.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H38 | zenon_intro zenon_H25f ].
% 22.10/22.21 apply (zenon_L316_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H155 | zenon_intro zenon_H260 ].
% 22.10/22.21 apply (zenon_L187_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H9e ].
% 22.10/22.21 apply (zenon_L167_); trivial.
% 22.10/22.21 apply (zenon_L262_); trivial.
% 22.10/22.21 (* end of lemma zenon_L1516_ *)
% 22.10/22.21 assert (zenon_L1517_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((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))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 22.10/22.21 do 0 intro. intros zenon_H1c3 zenon_H9f zenon_Ha9 zenon_Hf5 zenon_Ha5 zenon_H196 zenon_H1b4 zenon_H2a zenon_H1fb zenon_H25e zenon_H77 zenon_H11f.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 22.10/22.21 apply (zenon_L673_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 22.10/22.21 apply (zenon_L299_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 22.10/22.21 apply (zenon_L1516_); trivial.
% 22.10/22.21 apply (zenon_L884_); trivial.
% 22.10/22.21 (* end of lemma zenon_L1517_ *)
% 22.10/22.21 assert (zenon_L1518_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.10/22.21 do 0 intro. intros zenon_H13a zenon_H11f zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha9 zenon_H1c3 zenon_Ha0 zenon_H2a zenon_Hb6 zenon_H153 zenon_Ha5 zenon_Hf5.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.10/22.21 apply (zenon_L1517_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.10/22.21 apply (zenon_L53_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.10/22.21 apply (zenon_L95_); trivial.
% 22.10/22.21 apply (zenon_L262_); trivial.
% 22.10/22.21 (* end of lemma zenon_L1518_ *)
% 22.10/22.21 assert (zenon_L1519_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False).
% 22.10/22.21 do 0 intro. intros zenon_H12e zenon_H48 zenon_H3f zenon_H11a zenon_Hbb zenon_H288 zenon_Hf5 zenon_Ha5 zenon_Hb6 zenon_Ha0 zenon_H1c3 zenon_Ha9 zenon_H196 zenon_H1b4 zenon_H1fb zenon_H25e zenon_H77 zenon_H13a zenon_H1d8 zenon_H153 zenon_H181 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H192 zenon_H68 zenon_H183 zenon_H6f zenon_H10d.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.10/22.21 apply (zenon_L456_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.10/22.21 apply (zenon_L552_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.10/22.21 apply (zenon_L363_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H2a | zenon_intro zenon_H289 ].
% 22.10/22.21 apply (zenon_L1518_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H3d | zenon_intro zenon_H28a ].
% 22.10/22.21 apply (zenon_L738_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H6e | zenon_intro zenon_Hdb ].
% 22.10/22.21 apply (zenon_L1508_); trivial.
% 22.10/22.21 apply (zenon_L205_); trivial.
% 22.10/22.21 (* end of lemma zenon_L1519_ *)
% 22.10/22.21 assert (zenon_L1520_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (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) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False).
% 22.10/22.21 do 0 intro. intros zenon_H1a2 zenon_H186 zenon_Hbc zenon_H18a zenon_H104 zenon_H231 zenon_H1cb zenon_H1bb zenon_Hc4 zenon_H93 zenon_H129 zenon_H20f zenon_H18d zenon_H36 zenon_H12e zenon_H48 zenon_H3f zenon_H11a zenon_H288 zenon_Hf5 zenon_Ha5 zenon_Hb6 zenon_Ha0 zenon_H1c3 zenon_Ha9 zenon_H196 zenon_H1b4 zenon_H1fb zenon_H25e zenon_H77 zenon_H13a zenon_H1d8 zenon_H153 zenon_H181 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H192 zenon_H68 zenon_H183 zenon_H6f zenon_H10d.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.10/22.21 apply (zenon_L95_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.10/22.21 apply (zenon_L308_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.10/22.21 apply (zenon_L1515_); trivial.
% 22.10/22.21 apply (zenon_L1519_); trivial.
% 22.10/22.21 (* end of lemma zenon_L1520_ *)
% 22.10/22.21 assert (zenon_L1521_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.10/22.21 do 0 intro. intros zenon_H1c6 zenon_H38 zenon_H117 zenon_H54 zenon_H195 zenon_Hf0 zenon_He7 zenon_H13f zenon_H111 zenon_H141 zenon_H159 zenon_H6f zenon_H183 zenon_H68 zenon_H192 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H181 zenon_H153 zenon_H1d8 zenon_H13a zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha9 zenon_H1c3 zenon_Ha0 zenon_Hb6 zenon_Ha5 zenon_Hf5 zenon_H288 zenon_H11a zenon_H3f zenon_H48 zenon_H12e zenon_H36 zenon_H18d zenon_H20f zenon_H129 zenon_H93 zenon_Hc4 zenon_H1bb zenon_H1cb zenon_H231 zenon_H104 zenon_H18a zenon_Hbc zenon_H186 zenon_H1a2 zenon_H1c7.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.10/22.21 apply (zenon_L1512_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.10/22.21 exact (zenon_H159 zenon_H10c).
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.10/22.21 apply (zenon_L1520_); trivial.
% 22.10/22.21 exact (zenon_H1c7 zenon_Hac).
% 22.10/22.21 (* end of lemma zenon_L1521_ *)
% 22.10/22.21 assert (zenon_L1522_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.10/22.21 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H6e zenon_H1cf zenon_H1c6 zenon_H38 zenon_H117 zenon_H54 zenon_H195 zenon_Hf0 zenon_He7 zenon_H13f zenon_H111 zenon_H141 zenon_H159 zenon_H6f zenon_H183 zenon_H68 zenon_H192 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H181 zenon_H153 zenon_H1d8 zenon_H13a zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha9 zenon_H1c3 zenon_Ha0 zenon_Hb6 zenon_Hf5 zenon_H288 zenon_H11a zenon_H3f zenon_H48 zenon_H12e zenon_H36 zenon_H18d zenon_H20f zenon_H129 zenon_H93 zenon_Hc4 zenon_H1bb zenon_H1cb zenon_H231 zenon_H104 zenon_H18a zenon_Hbc zenon_H186 zenon_H1a2 zenon_H1c7.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.10/22.21 apply (zenon_L900_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.10/22.21 exact (zenon_H159 zenon_H10c).
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.10/22.21 apply (zenon_L1511_); trivial.
% 22.10/22.21 apply (zenon_L1521_); trivial.
% 22.10/22.21 (* end of lemma zenon_L1522_ *)
% 22.10/22.21 assert (zenon_L1523_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.10/22.21 do 0 intro. intros zenon_He4 zenon_H1d8 zenon_H153 zenon_H23c zenon_H195 zenon_H13c zenon_H3c zenon_H159 zenon_Ha9 zenon_H141 zenon_H34 zenon_H109 zenon_Ha0 zenon_Hb6 zenon_H2c zenon_H9f zenon_H117 zenon_H196 zenon_H24 zenon_Hfa zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H93 zenon_H77 zenon_H1b7.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.10/22.21 apply (zenon_L738_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.10/22.21 apply (zenon_L492_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.10/22.21 apply (zenon_L1496_); trivial.
% 22.10/22.21 apply (zenon_L1276_); trivial.
% 22.10/22.21 (* end of lemma zenon_L1523_ *)
% 22.10/22.21 assert (zenon_L1524_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (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) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.10/22.21 do 0 intro. intros zenon_Heb zenon_Hfa zenon_H2c zenon_H109 zenon_H23c zenon_He4 zenon_H1c7 zenon_H1a2 zenon_H186 zenon_Hbc zenon_H18a zenon_H104 zenon_H231 zenon_H1cb zenon_H93 zenon_H18d zenon_H36 zenon_H12e zenon_H48 zenon_H11a zenon_H288 zenon_Hf5 zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H196 zenon_H1fb zenon_H25e zenon_H13a zenon_H1d8 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H192 zenon_H183 zenon_H6f zenon_H159 zenon_H141 zenon_H111 zenon_H13f zenon_He7 zenon_Hf0 zenon_H195 zenon_H54 zenon_H117 zenon_H1c6 zenon_Hf3 zenon_H24 zenon_H9f zenon_H13c zenon_H73 zenon_H153 zenon_H1c3 zenon_H68 zenon_H77 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H181.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.10/22.21 apply (zenon_L1523_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.10/22.21 apply (zenon_L900_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.10/22.21 exact (zenon_H159 zenon_H10c).
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.10/22.21 apply (zenon_L162_); trivial.
% 22.10/22.21 apply (zenon_L1521_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.10/22.21 apply (zenon_L184_); trivial.
% 22.10/22.21 apply (zenon_L414_); trivial.
% 22.10/22.21 (* end of lemma zenon_L1524_ *)
% 22.10/22.21 assert (zenon_L1525_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (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) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 22.10/22.21 do 0 intro. intros zenon_He2 zenon_H181 zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H77 zenon_H68 zenon_H1c3 zenon_H153 zenon_H73 zenon_H13c zenon_H9f zenon_H24 zenon_Hf3 zenon_H117 zenon_H54 zenon_H195 zenon_Hf0 zenon_H13f zenon_H111 zenon_H141 zenon_H6f zenon_H183 zenon_H192 zenon_H1cd zenon_H1b7 zenon_H24e zenon_H1d8 zenon_H13a zenon_H25e zenon_H1fb zenon_H196 zenon_Hb6 zenon_Hf5 zenon_H288 zenon_H11a zenon_H48 zenon_H12e zenon_H36 zenon_H18d zenon_H93 zenon_H1cb zenon_H231 zenon_H104 zenon_H18a zenon_Hbc zenon_H186 zenon_H1a2 zenon_He4 zenon_H23c zenon_H109 zenon_H2c zenon_Hfa zenon_Heb zenon_H1c7 zenon_Ha0 zenon_H159 zenon_H6e zenon_Ha9 zenon_H1c6 zenon_H7d zenon_H34.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.10/22.21 apply (zenon_L147_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.10/22.21 apply (zenon_L1524_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.10/22.21 apply (zenon_L1462_); trivial.
% 22.10/22.21 apply (zenon_L802_); trivial.
% 22.10/22.21 (* end of lemma zenon_L1525_ *)
% 22.10/22.21 assert (zenon_L1526_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e1) (e0)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (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 (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e3)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.10/22.21 do 0 intro. intros zenon_H13b zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H266 zenon_H1ef zenon_H139 zenon_H16a zenon_H25b zenon_H27e zenon_H189 zenon_H236 zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H284 zenon_H76 zenon_H34 zenon_H7d zenon_H1c6 zenon_Ha9 zenon_H6e zenon_H159 zenon_Ha0 zenon_H1c7 zenon_Heb zenon_Hfa zenon_H2c zenon_H109 zenon_H23c zenon_He4 zenon_H1a2 zenon_H186 zenon_Hbc zenon_H18a zenon_H104 zenon_H231 zenon_H1cb zenon_H93 zenon_H18d zenon_H36 zenon_H12e zenon_H48 zenon_H11a zenon_H288 zenon_Hb6 zenon_H196 zenon_H1fb zenon_H25e zenon_H13a zenon_H1d8 zenon_H24e zenon_H1b7 zenon_H1cd zenon_H192 zenon_H183 zenon_H6f zenon_H141 zenon_H111 zenon_H13f zenon_Hf0 zenon_H195 zenon_H54 zenon_H117 zenon_H24 zenon_H9f zenon_H13c zenon_H73 zenon_H153 zenon_H1c3 zenon_H68 zenon_H77 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H181 zenon_He2 zenon_Hf5 zenon_H38.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.10/22.21 apply (zenon_L171_); trivial.
% 22.10/22.21 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.10/22.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.12/22.21 apply (zenon_L24_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.12/22.21 apply (zenon_L1522_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.12/22.21 apply (zenon_L184_); trivial.
% 22.12/22.21 apply (zenon_L1236_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.12/22.21 apply (zenon_L1525_); trivial.
% 22.12/22.21 apply (zenon_L663_); trivial.
% 22.12/22.21 (* end of lemma zenon_L1526_ *)
% 22.12/22.21 assert (zenon_L1527_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 22.12/22.21 do 0 intro. intros zenon_H1cf zenon_H153 zenon_H77 zenon_Ha9 zenon_H133 zenon_H93 zenon_H1c2 zenon_H171 zenon_H1cd.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.12/22.21 apply (zenon_L94_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.12/22.21 apply (zenon_L436_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.12/22.21 apply (zenon_L207_); trivial.
% 22.12/22.21 apply (zenon_L240_); trivial.
% 22.12/22.21 (* end of lemma zenon_L1527_ *)
% 22.12/22.21 assert (zenon_L1528_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.12/22.21 do 0 intro. intros zenon_Hfa zenon_H1cd zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha0 zenon_Hdd zenon_Ha9 zenon_H4e zenon_H67 zenon_H1d5 zenon_H1cf zenon_H159 zenon_H24 zenon_H9f zenon_H13c zenon_H189 zenon_H1c6 zenon_H1c7 zenon_H1a8 zenon_H77 zenon_H3f zenon_Hf3 zenon_H68 zenon_H93 zenon_H195.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.21 apply (zenon_L1462_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.21 apply (zenon_L186_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.21 apply (zenon_L439_); trivial.
% 22.12/22.21 apply (zenon_L1464_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.21 apply (zenon_L186_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.21 apply (zenon_L62_); trivial.
% 22.12/22.21 apply (zenon_L228_); trivial.
% 22.12/22.21 (* end of lemma zenon_L1528_ *)
% 22.12/22.21 assert (zenon_L1529_ : (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (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))))) -> False).
% 22.12/22.21 do 0 intro. intros zenon_H100 zenon_Hf3 zenon_H1a8 zenon_H1c7 zenon_H9f zenon_H24 zenon_H159 zenon_H1d5 zenon_H67 zenon_Hdd zenon_H54 zenon_H1cd zenon_Hfa zenon_H153 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H38 zenon_H20f zenon_H129 zenon_H93 zenon_H1bb.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.12/22.21 apply (zenon_L69_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.12/22.21 apply (zenon_L1528_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.12/22.21 apply (zenon_L184_); trivial.
% 22.12/22.21 apply (zenon_L1236_); trivial.
% 22.12/22.21 (* end of lemma zenon_L1529_ *)
% 22.12/22.21 assert (zenon_L1530_ : (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (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) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.12/22.21 do 0 intro. intros zenon_H179 zenon_H1c2 zenon_H13b zenon_H34 zenon_H7d zenon_H100 zenon_H1a8 zenon_H1c7 zenon_H9f zenon_H24 zenon_H159 zenon_H1d5 zenon_H67 zenon_H54 zenon_H1cd zenon_Hfa zenon_H153 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H93 zenon_H1bb zenon_H2c zenon_H109 zenon_H23c zenon_He4 zenon_Hbc zenon_H18a zenon_H104 zenon_H231 zenon_H36 zenon_H12e zenon_H11a zenon_H288 zenon_H1d8 zenon_H24e zenon_H192 zenon_H183 zenon_H141 zenon_H111 zenon_H13f zenon_Hf0 zenon_Hc4 zenon_H181 zenon_He2 zenon_Hf5 zenon_H38.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.12/22.21 apply (zenon_L297_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.12/22.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.12/22.21 apply (zenon_L69_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.12/22.21 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.21 apply (zenon_L1526_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.21 apply (zenon_L186_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.21 apply (zenon_L439_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.21 apply (zenon_L900_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.21 exact (zenon_H159 zenon_H10c).
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.21 apply (zenon_L1527_); trivial.
% 22.12/22.21 apply (zenon_L1521_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.21 apply (zenon_L186_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.21 apply (zenon_L900_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.21 exact (zenon_H159 zenon_H10c).
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.21 apply (zenon_L436_); trivial.
% 22.12/22.21 apply (zenon_L1521_); trivial.
% 22.12/22.21 apply (zenon_L228_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.12/22.21 apply (zenon_L184_); trivial.
% 22.12/22.21 apply (zenon_L1236_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.12/22.21 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.12/22.21 apply (zenon_L316_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.12/22.21 apply (zenon_L1524_); trivial.
% 22.12/22.21 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.12/22.21 apply (zenon_L1529_); trivial.
% 22.12/22.21 apply (zenon_L802_); trivial.
% 22.12/22.21 apply (zenon_L663_); trivial.
% 22.12/22.21 (* end of lemma zenon_L1530_ *)
% 22.12/22.21 assert (zenon_L1531_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (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 (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.12/22.22 do 0 intro. intros zenon_H201 zenon_Hf5 zenon_He2 zenon_H181 zenon_Hf0 zenon_H13f zenon_H111 zenon_H141 zenon_H183 zenon_H192 zenon_H24e zenon_H1d8 zenon_H288 zenon_H11a zenon_H12e zenon_H36 zenon_H231 zenon_H104 zenon_H18a zenon_Hbc zenon_He4 zenon_H23c zenon_H109 zenon_H2c zenon_H283 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H196 zenon_H16a zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_H27e zenon_H189 zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_Hfa zenon_H1cd zenon_H54 zenon_H67 zenon_H1d5 zenon_H159 zenon_H24 zenon_H9f zenon_H1c7 zenon_H1a8 zenon_H100 zenon_H7d zenon_H34 zenon_H13b zenon_H1c2 zenon_H179 zenon_Hb6 zenon_H133 zenon_H14c zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H93 zenon_H77 zenon_H1cb.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.22 apply (zenon_L1530_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.22 apply (zenon_L124_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.22 apply (zenon_L255_); trivial.
% 22.12/22.22 apply (zenon_L1159_); trivial.
% 22.12/22.22 (* end of lemma zenon_L1531_ *)
% 22.12/22.22 assert (zenon_L1532_ : ((op (e2) (e1)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (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 (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.12/22.22 do 0 intro. intros zenon_H10d zenon_H171 zenon_He7 zenon_H177 zenon_H153 zenon_H201 zenon_Hf5 zenon_He2 zenon_H181 zenon_Hf0 zenon_H13f zenon_H111 zenon_H141 zenon_H183 zenon_H192 zenon_H24e zenon_H1d8 zenon_H288 zenon_H11a zenon_H12e zenon_H36 zenon_H231 zenon_H104 zenon_H18a zenon_Hbc zenon_He4 zenon_H23c zenon_H109 zenon_H2c zenon_H283 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H196 zenon_H16a zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_H27e zenon_H189 zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_Hfa zenon_H1cd zenon_H54 zenon_H67 zenon_H1d5 zenon_H159 zenon_H24 zenon_H9f zenon_H1c7 zenon_H1a8 zenon_H100 zenon_H7d zenon_H34 zenon_H13b zenon_H1c2 zenon_H179 zenon_Hb6 zenon_H133 zenon_H14c zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.22 apply (zenon_L30_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.22 apply (zenon_L289_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.22 apply (zenon_L1495_); trivial.
% 22.12/22.22 apply (zenon_L1531_); trivial.
% 22.12/22.22 (* end of lemma zenon_L1532_ *)
% 22.12/22.22 assert (zenon_L1533_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (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) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.12/22.22 do 0 intro. intros zenon_H3d zenon_H38 zenon_H196 zenon_H1cb zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_H18d zenon_H179 zenon_H1c2 zenon_H13b zenon_H34 zenon_H7d zenon_H100 zenon_H1a8 zenon_H24 zenon_H159 zenon_H1d5 zenon_H67 zenon_H54 zenon_H1cd zenon_Hfa zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H195 zenon_H189 zenon_H27e zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H16a zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H2c zenon_H109 zenon_H23c zenon_He4 zenon_Hbc zenon_H18a zenon_H104 zenon_H231 zenon_H36 zenon_H12e zenon_H11a zenon_H288 zenon_H1d8 zenon_H24e zenon_H192 zenon_H183 zenon_H141 zenon_H111 zenon_H13f zenon_Hf0 zenon_H181 zenon_He2 zenon_Hf5 zenon_H201 zenon_H177 zenon_He7 zenon_H171 zenon_H133 zenon_H48 zenon_H121 zenon_H33 zenon_H9f zenon_Hb6 zenon_Hc4 zenon_H1c7.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.22 apply (zenon_L55_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.22 exact (zenon_H159 zenon_H10c).
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.22 apply (zenon_L359_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.22 apply (zenon_L152_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.22 apply (zenon_L1532_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.22 apply (zenon_L124_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.22 apply (zenon_L255_); trivial.
% 22.12/22.22 apply (zenon_L1414_); trivial.
% 22.12/22.22 apply (zenon_L1162_); trivial.
% 22.12/22.22 exact (zenon_H1c7 zenon_Hac).
% 22.12/22.22 (* end of lemma zenon_L1533_ *)
% 22.12/22.22 assert (zenon_L1534_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.12/22.22 do 0 intro. intros zenon_H141 zenon_H34 zenon_H109 zenon_He7 zenon_Hf0 zenon_H195 zenon_Ha5 zenon_Ha0 zenon_H6f zenon_Hdb zenon_H54 zenon_Hb6 zenon_H117 zenon_H196 zenon_H38.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.22 apply (zenon_L359_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.22 apply (zenon_L929_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.22 apply (zenon_L1466_); trivial.
% 22.12/22.22 apply (zenon_L1162_); trivial.
% 22.12/22.22 (* end of lemma zenon_L1534_ *)
% 22.12/22.22 assert (zenon_L1535_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (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) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False).
% 22.12/22.22 do 0 intro. intros zenon_H1a2 zenon_H186 zenon_H191 zenon_H12e zenon_H48 zenon_H3f zenon_H11a zenon_H288 zenon_Hf5 zenon_Ha5 zenon_Hb6 zenon_Ha0 zenon_H1c3 zenon_Ha9 zenon_H196 zenon_H1b4 zenon_H1fb zenon_H25e zenon_H77 zenon_H13a zenon_H1d8 zenon_H153 zenon_H181 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H192 zenon_H68 zenon_H183 zenon_H6f zenon_H10d.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.12/22.22 apply (zenon_L95_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.12/22.22 apply (zenon_L308_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.12/22.22 exact (zenon_H191 zenon_H110).
% 22.12/22.22 apply (zenon_L1519_); trivial.
% 22.12/22.22 (* end of lemma zenon_L1535_ *)
% 22.12/22.22 assert (zenon_L1536_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e1)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.12/22.22 do 0 intro. intros zenon_H201 zenon_H10d zenon_H6f zenon_H183 zenon_H68 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H181 zenon_H1d8 zenon_H13a zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha9 zenon_H1c3 zenon_Ha0 zenon_Ha5 zenon_Hf5 zenon_H288 zenon_H11a zenon_H3f zenon_H191 zenon_H186 zenon_H1a2 zenon_H171 zenon_He7 zenon_H163 zenon_H192 zenon_H3d zenon_H34 zenon_H12e zenon_H48 zenon_H14c zenon_H121 zenon_H33 zenon_H9f zenon_H1c7 zenon_Hb6 zenon_Hc4.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.22 apply (zenon_L1535_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.22 apply (zenon_L965_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.22 apply (zenon_L255_); trivial.
% 22.12/22.22 apply (zenon_L1414_); trivial.
% 22.12/22.22 (* end of lemma zenon_L1536_ *)
% 22.12/22.22 assert (zenon_L1537_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e1)) = (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) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.12/22.22 do 0 intro. intros zenon_H141 zenon_H54 zenon_Hc4 zenon_Hb6 zenon_H1c7 zenon_H9f zenon_H33 zenon_H121 zenon_H48 zenon_H12e zenon_H34 zenon_H3d zenon_H192 zenon_H163 zenon_He7 zenon_H171 zenon_H1a2 zenon_H186 zenon_H191 zenon_H3f zenon_H11a zenon_H288 zenon_Hf5 zenon_Ha5 zenon_Ha0 zenon_H1c3 zenon_Ha9 zenon_H1b4 zenon_H1fb zenon_H25e zenon_H77 zenon_H13a zenon_H1d8 zenon_H181 zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H68 zenon_H183 zenon_H6f zenon_H10d zenon_H201 zenon_H196 zenon_H38.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.22 apply (zenon_L217_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.22 apply (zenon_L152_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.22 apply (zenon_L1536_); trivial.
% 22.12/22.22 apply (zenon_L1162_); trivial.
% 22.12/22.22 (* end of lemma zenon_L1537_ *)
% 22.12/22.22 assert (zenon_L1538_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.12/22.22 do 0 intro. intros zenon_H183 zenon_H68 zenon_H11f zenon_He7 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H163 zenon_H4d zenon_H192 zenon_H3d zenon_H48 zenon_H12e zenon_H181.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.12/22.22 apply (zenon_L291_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.12/22.22 apply (zenon_L964_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.12/22.22 apply (zenon_L853_); trivial.
% 22.12/22.22 exact (zenon_H181 zenon_H17c).
% 22.12/22.22 (* end of lemma zenon_L1538_ *)
% 22.12/22.22 assert (zenon_L1539_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.12/22.22 do 0 intro. intros zenon_H183 zenon_H68 zenon_He7 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H163 zenon_H4d zenon_H192 zenon_H3d zenon_H48 zenon_H12e zenon_H181.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.12/22.22 apply (zenon_L456_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.12/22.22 apply (zenon_L146_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.12/22.22 apply (zenon_L285_); trivial.
% 22.12/22.22 apply (zenon_L1538_); trivial.
% 22.12/22.22 (* end of lemma zenon_L1539_ *)
% 22.12/22.22 assert (zenon_L1540_ : ((op (e0) (e1)) = (e1)) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((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 (e3) (e0)) = (op (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 (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((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) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e2)) = (e3)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((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))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.12/22.22 do 0 intro. intros zenon_H3d zenon_Hcb zenon_H11a zenon_H173 zenon_Hf0 zenon_Hfa zenon_H104 zenon_H109 zenon_H18a zenon_H283 zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H156 zenon_H158 zenon_H13e zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H1b7 zenon_H1c6 zenon_H25b zenon_Hf5 zenon_H27e zenon_H189 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H162 zenon_H19a zenon_H12e zenon_H7d zenon_H24e zenon_H1f1 zenon_H186 zenon_H23c zenon_H26a zenon_H111 zenon_H2c zenon_Hc2 zenon_H1d5 zenon_H36 zenon_Hca zenon_H38 zenon_H196 zenon_H201 zenon_He4 zenon_H1d8 zenon_H234 zenon_H55 zenon_H1a8 zenon_H1cd zenon_H231 zenon_H192 zenon_Hbc zenon_H191 zenon_H140 zenon_H1cf zenon_Ha0 zenon_H1a2 zenon_H190 zenon_H141 zenon_H5d zenon_H139 zenon_H13a zenon_H82 zenon_H133 zenon_H16a zenon_H5c zenon_H195 zenon_Hb6 zenon_H13f zenon_H1c2 zenon_H121 zenon_H33 zenon_H9f zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_H1a3 zenon_H1c3 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H1cb zenon_H54 zenon_H1c7.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.22 apply (zenon_L55_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.22 apply (zenon_L1332_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.22 apply (zenon_L1432_); trivial.
% 22.12/22.22 exact (zenon_H1c7 zenon_Hac).
% 22.12/22.22 (* end of lemma zenon_L1540_ *)
% 22.12/22.22 assert (zenon_L1541_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((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))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.12/22.22 do 0 intro. intros zenon_H13a zenon_H11a zenon_H3d zenon_H2c zenon_H111 zenon_H1f1 zenon_H23c zenon_He4 zenon_H26a zenon_H1d8 zenon_H82 zenon_H1b7 zenon_H1cd zenon_H7d zenon_H24e zenon_H104 zenon_H162 zenon_H19a zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H1c6 zenon_H25b zenon_Hf5 zenon_H27e zenon_H189 zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H18a zenon_H191 zenon_Hf0 zenon_H38 zenon_H196 zenon_H201 zenon_H1a2 zenon_H54 zenon_H141 zenon_H186 zenon_H16a zenon_H5c zenon_H195 zenon_H117 zenon_Hb6 zenon_Ha0 zenon_Ha5 zenon_H13f zenon_H1c2 zenon_H121 zenon_H33 zenon_H9f zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_H1a3 zenon_H1c3 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H1cb zenon_H109 zenon_H1c7.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.22 apply (zenon_L55_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.22 apply (zenon_L1306_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.22 apply (zenon_L1435_); trivial.
% 22.12/22.22 exact (zenon_H1c7 zenon_Hac).
% 22.12/22.22 (* end of lemma zenon_L1541_ *)
% 22.12/22.22 assert (zenon_L1542_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (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 (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (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 (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.12/22.22 do 0 intro. intros zenon_H24 zenon_Hca zenon_H36 zenon_H1d5 zenon_Hc2 zenon_H12e zenon_Hfa zenon_Hcb zenon_H11a zenon_H2c zenon_H111 zenon_H1f1 zenon_H23c zenon_H26a zenon_H1b7 zenon_H7d zenon_H24e zenon_H104 zenon_H162 zenon_H19a zenon_H283 zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H1c6 zenon_H25b zenon_Hf5 zenon_H27e zenon_H189 zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H18a zenon_Hf0 zenon_H201 zenon_H186 zenon_H16a zenon_H195 zenon_H117 zenon_H13f zenon_H1c2 zenon_H121 zenon_H33 zenon_H9f zenon_H18d zenon_H109 zenon_H1c7 zenon_H34 zenon_He4 zenon_H1d8 zenon_H234 zenon_H55 zenon_H1a8 zenon_H1cd zenon_H231 zenon_H192 zenon_H183 zenon_Hbc zenon_H191 zenon_H140 zenon_H196 zenon_H1cf zenon_H1a3 zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H1a2 zenon_H190 zenon_H1c3 zenon_H68 zenon_Hc4 zenon_H129 zenon_H5c zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1cb zenon_H141 zenon_H77 zenon_H5d zenon_H139 zenon_H13a zenon_H82 zenon_H38 zenon_H48.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.12/22.22 apply (zenon_L253_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.12/22.22 apply (zenon_L1149_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.12/22.22 apply (zenon_L17_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.22 apply (zenon_L900_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.22 apply (zenon_L1306_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.22 apply (zenon_L1540_); trivial.
% 22.12/22.22 apply (zenon_L1541_); trivial.
% 22.12/22.22 apply (zenon_L456_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.12/22.22 apply (zenon_L1431_); trivial.
% 22.12/22.22 apply (zenon_L246_); trivial.
% 22.12/22.22 (* end of lemma zenon_L1542_ *)
% 22.12/22.22 assert (zenon_L1543_ : ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (((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)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (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 (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.12/22.22 do 0 intro. intros zenon_H9f zenon_H24 zenon_H13a zenon_H33 zenon_H121 zenon_H3d zenon_H140 zenon_H26d zenon_H36 zenon_H131 zenon_H191 zenon_H162 zenon_H19a zenon_H120 zenon_H24e zenon_H7d zenon_H1cd zenon_H1b7 zenon_H82 zenon_H1d8 zenon_Hc2 zenon_Hcb zenon_H104 zenon_H231 zenon_H1ef zenon_H6f zenon_H1f1 zenon_H13f zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H26a zenon_H190 zenon_Hf5 zenon_H25b zenon_H5d zenon_H2c zenon_H139 zenon_Hbc zenon_H283 zenon_H163 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H266 zenon_H13c zenon_H1c6 zenon_H189 zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1fb zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_Hfa zenon_H1d5 zenon_H141 zenon_H34 zenon_H109 zenon_He7 zenon_Hf0 zenon_H1cb zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H183 zenon_H18a zenon_H1c2 zenon_H68 zenon_H1c3 zenon_Hef zenon_H11a zenon_H27e zenon_H5c zenon_H195 zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha9 zenon_Ha0 zenon_H16a zenon_H186 zenon_H1a2 zenon_H1a3 zenon_H201 zenon_H196 zenon_H38.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.22 apply (zenon_L900_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.22 apply (zenon_L1330_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.22 apply (zenon_L1244_); trivial.
% 22.12/22.22 apply (zenon_L1421_); trivial.
% 22.12/22.22 (* end of lemma zenon_L1543_ *)
% 22.12/22.22 assert (zenon_L1544_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.12/22.22 do 0 intro. intros zenon_H141 zenon_H54 zenon_H1cb zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H1c3 zenon_H1a3 zenon_H183 zenon_H68 zenon_H34 zenon_Ha9 zenon_H9f zenon_H33 zenon_H121 zenon_H1c2 zenon_H13f zenon_Ha5 zenon_Ha0 zenon_Hb6 zenon_H117 zenon_H195 zenon_H5c zenon_H10d zenon_H16a zenon_H72 zenon_H1a2 zenon_H186 zenon_H201 zenon_H196 zenon_H38.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.22 apply (zenon_L217_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.22 apply (zenon_L152_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.22 apply (zenon_L1417_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.22 apply (zenon_L59_); trivial.
% 22.12/22.22 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.22 apply (zenon_L255_); trivial.
% 22.12/22.22 apply (zenon_L1434_); trivial.
% 22.12/22.22 apply (zenon_L1162_); trivial.
% 22.12/22.22 (* end of lemma zenon_L1544_ *)
% 22.12/22.22 assert (zenon_L1545_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.12/22.23 do 0 intro. intros zenon_H1a8 zenon_H3d zenon_H156 zenon_H72 zenon_H38 zenon_H196 zenon_H13f zenon_Ha5 zenon_Ha0 zenon_Hb6 zenon_H117 zenon_H77 zenon_H48 zenon_H195 zenon_H5c zenon_H68 zenon_H141 zenon_Ha9 zenon_Hac.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.23 apply (zenon_L214_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.23 apply (zenon_L100_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.23 apply (zenon_L1397_); trivial.
% 22.12/22.23 apply (zenon_L371_); trivial.
% 22.12/22.23 (* end of lemma zenon_L1545_ *)
% 22.12/22.23 assert (zenon_L1546_ : ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((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)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e2) (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) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (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 (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.12/22.23 do 0 intro. intros zenon_H67 zenon_H234 zenon_H192 zenon_H27e zenon_Hf0 zenon_He7 zenon_H1d5 zenon_Hfa zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H1fb zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H236 zenon_H189 zenon_H266 zenon_H55 zenon_H13e zenon_H158 zenon_H173 zenon_H1ec zenon_H73 zenon_H163 zenon_H283 zenon_Ha9 zenon_H141 zenon_H68 zenon_H195 zenon_H48 zenon_H117 zenon_Hb6 zenon_Ha0 zenon_H13f zenon_H196 zenon_H38 zenon_H156 zenon_H3d zenon_H1a8 zenon_H54 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H1c3 zenon_H1a3 zenon_H183 zenon_H34 zenon_H9f zenon_H33 zenon_H121 zenon_H1c2 zenon_H16a zenon_H1a2 zenon_H186 zenon_H201 zenon_H140 zenon_H26d zenon_H36 zenon_H131 zenon_H191 zenon_H162 zenon_H19a zenon_H120 zenon_H24e zenon_H7d zenon_H1cd zenon_H1b7 zenon_H11a zenon_H82 zenon_H1d8 zenon_Hc2 zenon_Hcb zenon_H104 zenon_H231 zenon_H18a zenon_H1ef zenon_H13a zenon_H6f zenon_H109 zenon_H1f1 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H26a zenon_H190 zenon_Hf5 zenon_H25b zenon_H5d zenon_H2c zenon_H139 zenon_Hbc zenon_H1c6 zenon_H24 zenon_H13c zenon_H5c zenon_H77.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.23 apply (zenon_L214_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.23 apply (zenon_L1543_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.23 apply (zenon_L1312_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.23 apply (zenon_L900_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.23 apply (zenon_L1330_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.23 apply (zenon_L55_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.23 apply (zenon_L1330_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.23 apply (zenon_L1432_); trivial.
% 22.12/22.23 apply (zenon_L371_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.23 apply (zenon_L55_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.23 apply (zenon_L1329_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.23 apply (zenon_L1435_); trivial.
% 22.12/22.23 apply (zenon_L371_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.23 apply (zenon_L1543_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.23 apply (zenon_L900_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.23 apply (zenon_L1328_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.23 apply (zenon_L436_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.23 apply (zenon_L55_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.23 apply (zenon_L1328_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.23 apply (zenon_L1544_); trivial.
% 22.12/22.23 apply (zenon_L1545_); trivial.
% 22.12/22.23 apply (zenon_L206_); trivial.
% 22.12/22.23 (* end of lemma zenon_L1546_ *)
% 22.12/22.23 assert (zenon_L1547_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.12/22.23 do 0 intro. intros zenon_Hca zenon_Hc2 zenon_Hbc zenon_H34 zenon_H104 zenon_H105 zenon_H1bb zenon_H1cb zenon_H162 zenon_H231 zenon_Hcb zenon_Hac.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.12/22.23 exact (zenon_H1c7 zenon_Hac).
% 22.12/22.23 apply (zenon_L1321_); trivial.
% 22.12/22.23 (* end of lemma zenon_L1547_ *)
% 22.12/22.23 assert (zenon_L1548_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (((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)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (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 (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (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) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.12/22.23 do 0 intro. intros zenon_H13a zenon_H1a3 zenon_H11a zenon_H33 zenon_H121 zenon_H3d zenon_H140 zenon_H26d zenon_H36 zenon_H131 zenon_H1c3 zenon_H19a zenon_H120 zenon_H24e zenon_H7d zenon_H1b7 zenon_H82 zenon_H1d8 zenon_H183 zenon_H18a zenon_H1ef zenon_H6f zenon_H109 zenon_H1f1 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H26a zenon_H190 zenon_Hf5 zenon_H25b zenon_H5d zenon_H2c zenon_H139 zenon_H1c2 zenon_H283 zenon_H163 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H266 zenon_H13c zenon_H1c6 zenon_H27e zenon_H189 zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1fb zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_Hf0 zenon_Hfa zenon_H1d5 zenon_H201 zenon_H1cd zenon_H191 zenon_H186 zenon_H1a2 zenon_Hf3 zenon_Hcb zenon_H231 zenon_H162 zenon_H104 zenon_H34 zenon_Hbc zenon_Hc2 zenon_Hca zenon_H16a zenon_H196 zenon_H13f zenon_H5c zenon_H68 zenon_H141 zenon_H195 zenon_Ha5 zenon_Ha9 zenon_Hdd zenon_Ha0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.23 apply (zenon_L55_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.23 apply (zenon_L1330_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.23 apply (zenon_L152_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.23 apply (zenon_L1439_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.23 apply (zenon_L117_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.23 apply (zenon_L1547_); trivial.
% 22.12/22.23 apply (zenon_L1441_); trivial.
% 22.12/22.23 (* end of lemma zenon_L1548_ *)
% 22.12/22.23 assert (zenon_L1549_ : ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (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 (e0) (e1)) = (e1)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.12/22.23 do 0 intro. intros zenon_H9f zenon_H24 zenon_H67 zenon_H141 zenon_H13f zenon_Hca zenon_Hc2 zenon_Hbc zenon_H34 zenon_H104 zenon_H162 zenon_H231 zenon_Hcb zenon_Hf3 zenon_H191 zenon_H1cd zenon_H1d5 zenon_Hfa zenon_Hf0 zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H1fb zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H236 zenon_H189 zenon_H1c6 zenon_H13c zenon_H266 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H163 zenon_H283 zenon_H139 zenon_H2c zenon_H5d zenon_H25b zenon_Hf5 zenon_H190 zenon_H26a zenon_H1cf zenon_He4 zenon_H23c zenon_H4e zenon_H1f1 zenon_H109 zenon_H6f zenon_H1ef zenon_H1d8 zenon_H82 zenon_H1b7 zenon_H7d zenon_H24e zenon_H120 zenon_H19a zenon_H131 zenon_H36 zenon_H26d zenon_H140 zenon_H3d zenon_H121 zenon_H33 zenon_H13a zenon_H1cb zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H183 zenon_H18a zenon_H1c2 zenon_H68 zenon_H1c3 zenon_Hef zenon_H11a zenon_H27e zenon_H5c zenon_H195 zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha9 zenon_Ha0 zenon_H16a zenon_H186 zenon_H1a2 zenon_H1a3 zenon_H201 zenon_H196 zenon_H38.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.23 apply (zenon_L900_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.23 apply (zenon_L1317_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.23 apply (zenon_L162_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.23 apply (zenon_L217_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.23 apply (zenon_L1548_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.23 apply (zenon_L1420_); trivial.
% 22.12/22.23 apply (zenon_L1162_); trivial.
% 22.12/22.23 (* end of lemma zenon_L1549_ *)
% 22.12/22.23 assert (zenon_L1550_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.12/22.23 do 0 intro. intros zenon_H16a zenon_H5c zenon_H195 zenon_H14c zenon_Hb6 zenon_H13f zenon_Ha9 zenon_H10d zenon_H66 zenon_H111 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H106 zenon_H1cb.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.23 apply (zenon_L256_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.23 apply (zenon_L289_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.23 apply (zenon_L258_); trivial.
% 22.12/22.23 apply (zenon_L1159_); trivial.
% 22.12/22.23 (* end of lemma zenon_L1550_ *)
% 22.12/22.23 assert (zenon_L1551_ : ((op (e0) (e0)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (((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)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (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 (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> False).
% 22.12/22.23 do 0 intro. intros zenon_H9f zenon_He7 zenon_H177 zenon_H234 zenon_H12e zenon_H192 zenon_H125 zenon_Hb2 zenon_H1fe zenon_H1a8 zenon_H212 zenon_H164 zenon_H13b zenon_H288 zenon_H179 zenon_H68 zenon_H13a zenon_H11a zenon_H33 zenon_H121 zenon_H3d zenon_H140 zenon_H26d zenon_H36 zenon_H131 zenon_H117 zenon_H191 zenon_H1c3 zenon_H19a zenon_H24e zenon_H7d zenon_H1cd zenon_H1b7 zenon_H82 zenon_H1d8 zenon_Hcb zenon_H183 zenon_H18a zenon_H1ef zenon_H6f zenon_H109 zenon_H1f1 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H26a zenon_H190 zenon_H1a2 zenon_Hf5 zenon_H25b zenon_H5d zenon_H2c zenon_H139 zenon_H1c2 zenon_H283 zenon_H163 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H266 zenon_H13c zenon_H1c6 zenon_H27e zenon_H189 zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1fb zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_Hf0 zenon_Hfa zenon_H1d5 zenon_H38 zenon_H196 zenon_H201 zenon_H186 zenon_H231 zenon_H1a3 zenon_H162 zenon_H120 zenon_H104 zenon_H34 zenon_Hbc zenon_Hc2 zenon_H16a zenon_H5c zenon_H195 zenon_Hb6 zenon_H13f zenon_H66 zenon_H111 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H1cb zenon_Ha0 zenon_H54 zenon_H141 zenon_Ha9.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.23 apply (zenon_L214_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.23 apply (zenon_L1392_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.23 apply (zenon_L55_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.23 apply (zenon_L1391_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.23 apply (zenon_L289_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.23 apply (zenon_L359_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.23 apply (zenon_L929_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.23 apply (zenon_L1423_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.23 apply (zenon_L379_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.23 apply (zenon_L255_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.12/22.23 apply (zenon_L151_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.12/22.23 apply (zenon_L1550_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.12/22.23 exact (zenon_H191 zenon_H110).
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.12/22.23 apply (zenon_L1255_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.12/22.23 apply (zenon_L493_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.12/22.23 apply (zenon_L367_); trivial.
% 22.12/22.23 apply (zenon_L1157_); trivial.
% 22.12/22.23 apply (zenon_L1162_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.23 apply (zenon_L55_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.23 apply (zenon_L1330_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.23 apply (zenon_L217_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.23 apply (zenon_L152_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.23 apply (zenon_L94_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.23 apply (zenon_L138_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.23 apply (zenon_L477_); trivial.
% 22.12/22.23 apply (zenon_L1550_); trivial.
% 22.12/22.23 apply (zenon_L1162_); trivial.
% 22.12/22.23 apply (zenon_L371_); trivial.
% 22.12/22.23 (* end of lemma zenon_L1551_ *)
% 22.12/22.23 assert (zenon_L1552_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 22.12/22.23 do 0 intro. intros zenon_H1a2 zenon_Ha9 zenon_H66 zenon_Hf3 zenon_H14c zenon_Ha0 zenon_Hac zenon_H1cd.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.12/22.23 apply (zenon_L193_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.12/22.23 apply (zenon_L162_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.12/22.23 apply (zenon_L278_); trivial.
% 22.12/22.23 apply (zenon_L360_); trivial.
% 22.12/22.23 (* end of lemma zenon_L1552_ *)
% 22.12/22.23 assert (zenon_L1553_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((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)) = (e0)) -> False).
% 22.12/22.23 do 0 intro. intros zenon_H141 zenon_H34 zenon_H109 zenon_H6d zenon_H68 zenon_H1cd zenon_Hac zenon_Ha0 zenon_Hf3 zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H196 zenon_H38.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.23 apply (zenon_L359_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.23 apply (zenon_L54_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.23 apply (zenon_L1552_); trivial.
% 22.12/22.23 apply (zenon_L1162_); trivial.
% 22.12/22.23 (* end of lemma zenon_L1553_ *)
% 22.12/22.23 assert (zenon_L1554_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.12/22.23 do 0 intro. intros zenon_H1a8 zenon_H3d zenon_H1bb zenon_H129 zenon_H5c zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H77 zenon_H16a zenon_H1cb zenon_H1b7 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H111 zenon_Hf0 zenon_H54 zenon_H38 zenon_H196 zenon_H1a2 zenon_H66 zenon_Hf3 zenon_Ha0 zenon_H1cd zenon_H68 zenon_H109 zenon_H34 zenon_H141 zenon_Ha9 zenon_Hac.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.23 apply (zenon_L214_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.23 apply (zenon_L1392_); trivial.
% 22.12/22.23 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.23 apply (zenon_L1553_); trivial.
% 22.12/22.23 apply (zenon_L371_); trivial.
% 22.12/22.23 (* end of lemma zenon_L1554_ *)
% 22.12/22.24 assert (zenon_L1555_ : ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (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) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> False).
% 22.12/22.24 do 0 intro. intros zenon_H9f zenon_H24 zenon_Hc4 zenon_H11a zenon_H33 zenon_H121 zenon_H140 zenon_H36 zenon_H191 zenon_H162 zenon_H120 zenon_H24e zenon_H7d zenon_H82 zenon_H1d8 zenon_Hc2 zenon_Hcb zenon_H183 zenon_H104 zenon_H231 zenon_H18a zenon_H1f1 zenon_H13f zenon_H201 zenon_H23c zenon_He4 zenon_H26a zenon_H2c zenon_Hbc zenon_H1c2 zenon_Hfa zenon_H1d5 zenon_H1a3 zenon_H1a8 zenon_H3d zenon_H1bb zenon_H129 zenon_H5c zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H77 zenon_H16a zenon_H1cb zenon_H1b7 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H111 zenon_Hf0 zenon_H54 zenon_H38 zenon_H196 zenon_H1a2 zenon_H66 zenon_Hf3 zenon_Ha0 zenon_H1cd zenon_H68 zenon_H109 zenon_H34 zenon_H141 zenon_Ha9.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.24 apply (zenon_L900_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.24 apply (zenon_L1330_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.24 apply (zenon_L162_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.24 apply (zenon_L55_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.24 apply (zenon_L1330_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.24 apply (zenon_L1173_); trivial.
% 22.12/22.24 apply (zenon_L1554_); trivial.
% 22.12/22.24 (* end of lemma zenon_L1555_ *)
% 22.12/22.24 assert (zenon_L1556_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 22.12/22.24 do 0 intro. intros zenon_H177 zenon_H125 zenon_Hb2 zenon_H1fe zenon_H212 zenon_H164 zenon_H288 zenon_H179 zenon_H13b zenon_H139 zenon_H68 zenon_Ha9 zenon_Ha0 zenon_H38 zenon_H13a zenon_H77 zenon_H5d zenon_H5c zenon_Hca zenon_H36 zenon_H1d5 zenon_Hc2 zenon_H234 zenon_H12e zenon_H192 zenon_H231 zenon_Hbc zenon_H140 zenon_Hfa zenon_Hcb zenon_H1a8 zenon_H48 zenon_H201 zenon_H18a zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H25b zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H162 zenon_H19a zenon_H1c2 zenon_H104 zenon_H24e zenon_H1cd zenon_H34 zenon_H7d zenon_H183 zenon_H191 zenon_Hf0 zenon_H186 zenon_H82 zenon_H23c zenon_H13f zenon_H109 zenon_H1f1 zenon_He4 zenon_H26a zenon_H111 zenon_H1d8 zenon_H2c zenon_H141 zenon_H33 zenon_H11a zenon_Hc4 zenon_H121 zenon_H24 zenon_H9f zenon_Hb6.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.12/22.24 apply (zenon_L1542_); trivial.
% 22.12/22.24 apply (zenon_L414_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.12/22.24 apply (zenon_L253_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.12/22.24 apply (zenon_L253_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.12/22.24 apply (zenon_L17_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.12/22.24 apply (zenon_L297_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.12/22.24 apply (zenon_L1546_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.24 apply (zenon_L214_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.24 apply (zenon_L1549_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.24 apply (zenon_L1312_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.24 apply (zenon_L900_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.24 apply (zenon_L1330_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.24 apply (zenon_L162_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.24 apply (zenon_L55_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.24 apply (zenon_L1330_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.24 apply (zenon_L1438_); trivial.
% 22.12/22.24 apply (zenon_L371_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.24 apply (zenon_L1549_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.24 apply (zenon_L62_); trivial.
% 22.12/22.24 apply (zenon_L206_); trivial.
% 22.12/22.24 apply (zenon_L663_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.12/22.24 apply (zenon_L214_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.12/22.24 apply (zenon_L297_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.12/22.24 apply (zenon_L1551_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.12/22.24 apply (zenon_L1555_); trivial.
% 22.12/22.24 apply (zenon_L157_); trivial.
% 22.12/22.24 apply (zenon_L165_); trivial.
% 22.12/22.24 apply (zenon_L456_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.12/22.24 apply (zenon_L1431_); trivial.
% 22.12/22.24 apply (zenon_L192_); trivial.
% 22.12/22.24 apply (zenon_L434_); trivial.
% 22.12/22.24 (* end of lemma zenon_L1556_ *)
% 22.12/22.24 assert (zenon_L1557_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.12/22.24 do 0 intro. intros zenon_H15d zenon_H9f zenon_H192 zenon_H7f zenon_H7d zenon_H2d zenon_H48 zenon_H61 zenon_H5d zenon_H139 zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_H13a zenon_H77 zenon_H38 zenon_H68 zenon_H82 zenon_H5c zenon_Hf5.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.12/22.24 apply (zenon_L253_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.12/22.24 apply (zenon_L146_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.12/22.24 apply (zenon_L1341_); trivial.
% 22.12/22.24 apply (zenon_L192_); trivial.
% 22.12/22.24 (* end of lemma zenon_L1557_ *)
% 22.12/22.24 assert (zenon_L1558_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (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) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.12/22.24 do 0 intro. intros zenon_H121 zenon_Ha0 zenon_H38 zenon_H153 zenon_Hb6 zenon_H6e zenon_Ha9 zenon_H33 zenon_H13a zenon_H11a zenon_H10c zenon_H1a3 zenon_Hc4.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 22.12/22.24 apply (zenon_L1408_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 22.12/22.24 apply (zenon_L79_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 22.12/22.24 exact (zenon_H1a3 zenon_Hbb).
% 22.12/22.24 exact (zenon_Hc4 zenon_Hc3).
% 22.12/22.24 (* end of lemma zenon_L1558_ *)
% 22.12/22.24 assert (zenon_L1559_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.12/22.24 do 0 intro. intros zenon_H141 zenon_H7f zenon_H7d zenon_H48 zenon_H61 zenon_H5d zenon_H139 zenon_H13a zenon_H77 zenon_H82 zenon_H6d zenon_H68 zenon_H1a3 zenon_Ha0 zenon_H72 zenon_Ha9 zenon_H153 zenon_Hb6 zenon_H1a2 zenon_H196 zenon_H38.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.24 apply (zenon_L1341_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.24 apply (zenon_L54_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.24 apply (zenon_L1170_); trivial.
% 22.12/22.24 apply (zenon_L1162_); trivial.
% 22.12/22.24 (* end of lemma zenon_L1559_ *)
% 22.12/22.24 assert (zenon_L1560_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.12/22.24 do 0 intro. intros zenon_H1a8 zenon_Hc4 zenon_H10c zenon_H11a zenon_H33 zenon_H121 zenon_H156 zenon_H38 zenon_H196 zenon_H1a2 zenon_Hb6 zenon_H153 zenon_Ha9 zenon_H72 zenon_Ha0 zenon_H1a3 zenon_H68 zenon_H82 zenon_H13a zenon_H139 zenon_H5d zenon_H61 zenon_H48 zenon_H7d zenon_H141 zenon_H7f zenon_H77.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.24 apply (zenon_L1558_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.24 apply (zenon_L100_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.24 apply (zenon_L1559_); trivial.
% 22.12/22.24 apply (zenon_L169_); trivial.
% 22.12/22.24 (* end of lemma zenon_L1560_ *)
% 22.12/22.24 assert (zenon_L1561_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (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))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 22.12/22.24 do 0 intro. intros zenon_H1c6 zenon_Ha9 zenon_H6e zenon_H173 zenon_H121 zenon_H33 zenon_H11a zenon_Hc4 zenon_H13a zenon_H38 zenon_H196 zenon_Ha0 zenon_H1a3 zenon_H54 zenon_H48 zenon_H141 zenon_H1a2 zenon_Hb6 zenon_H153 zenon_H186 zenon_Ha5 zenon_H191 zenon_H1cd.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.24 apply (zenon_L110_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.24 apply (zenon_L1252_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.24 apply (zenon_L1433_); trivial.
% 22.12/22.24 apply (zenon_L1439_); trivial.
% 22.12/22.24 (* end of lemma zenon_L1561_ *)
% 22.12/22.24 assert (zenon_L1562_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (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))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 22.12/22.24 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H77 zenon_H7f zenon_H7d zenon_H61 zenon_H5d zenon_H139 zenon_H82 zenon_H68 zenon_H156 zenon_H1a8 zenon_H72 zenon_H1c6 zenon_Ha9 zenon_H6e zenon_H173 zenon_H121 zenon_H33 zenon_H11a zenon_Hc4 zenon_H13a zenon_H38 zenon_H196 zenon_Ha0 zenon_H1a3 zenon_H54 zenon_H48 zenon_H141 zenon_H1a2 zenon_Hb6 zenon_H153 zenon_H186 zenon_H191 zenon_H1cd.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.24 apply (zenon_L900_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.24 apply (zenon_L1560_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.24 apply (zenon_L436_); trivial.
% 22.12/22.24 apply (zenon_L1561_); trivial.
% 22.12/22.24 (* end of lemma zenon_L1562_ *)
% 22.12/22.24 assert (zenon_L1563_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.12/22.24 do 0 intro. intros zenon_H1cd zenon_H191 zenon_H186 zenon_H54 zenon_Hc4 zenon_H11a zenon_H33 zenon_H121 zenon_H173 zenon_H1c6 zenon_H1a8 zenon_H24 zenon_H9f zenon_H13c zenon_H156 zenon_H38 zenon_H196 zenon_H1a2 zenon_Hb6 zenon_H153 zenon_Ha9 zenon_H72 zenon_Ha0 zenon_H1a3 zenon_H68 zenon_H82 zenon_H13a zenon_H139 zenon_H5d zenon_H61 zenon_H48 zenon_H7d zenon_H141 zenon_H7f zenon_H77.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.24 apply (zenon_L1562_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.24 apply (zenon_L100_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.24 apply (zenon_L1559_); trivial.
% 22.12/22.24 apply (zenon_L169_); trivial.
% 22.12/22.24 (* end of lemma zenon_L1563_ *)
% 22.12/22.24 assert (zenon_L1564_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.12/22.24 do 0 intro. intros zenon_H183 zenon_H1c2 zenon_H5c zenon_H77 zenon_H38 zenon_H68 zenon_H1c3 zenon_Hef zenon_H11a zenon_H8a zenon_H104 zenon_H121 zenon_H33 zenon_H9f zenon_H7d zenon_H18a zenon_H7f zenon_H231 zenon_Hbc zenon_H1cd zenon_H1cb zenon_H212 zenon_H1a3 zenon_Hc4.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.12/22.24 apply (zenon_L1259_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.12/22.24 apply (zenon_L119_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.12/22.24 apply (zenon_L231_); trivial.
% 22.12/22.24 apply (zenon_L1167_); trivial.
% 22.12/22.24 (* end of lemma zenon_L1564_ *)
% 22.12/22.24 assert (zenon_L1565_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (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)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (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 (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.12/22.24 do 0 intro. intros zenon_H15d zenon_H9f zenon_H192 zenon_H7f zenon_H7d zenon_H1a8 zenon_H1c7 zenon_H13a zenon_H33 zenon_H121 zenon_H34 zenon_Hbc zenon_H191 zenon_H140 zenon_H38 zenon_H196 zenon_H1cf zenon_H1a3 zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H1a2 zenon_H190 zenon_H1c3 zenon_H68 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1cb zenon_H48 zenon_H141 zenon_H77 zenon_H5d zenon_H139 zenon_H82 zenon_H5c zenon_Hf5.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.12/22.24 apply (zenon_L253_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.12/22.24 apply (zenon_L146_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.12/22.24 apply (zenon_L1284_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.12/22.24 apply (zenon_L17_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.24 apply (zenon_L1409_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.24 apply (zenon_L1316_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.24 apply (zenon_L1428_); trivial.
% 22.12/22.24 apply (zenon_L169_); trivial.
% 22.12/22.24 apply (zenon_L31_); trivial.
% 22.12/22.24 apply (zenon_L192_); trivial.
% 22.12/22.24 (* end of lemma zenon_L1565_ *)
% 22.12/22.24 assert (zenon_L1566_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (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))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.12/22.24 do 0 intro. intros zenon_Hfa zenon_H25 zenon_H1cd zenon_H191 zenon_H186 zenon_H153 zenon_Hb6 zenon_H1a2 zenon_H141 zenon_H48 zenon_H54 zenon_H1a3 zenon_Ha0 zenon_H196 zenon_H38 zenon_H13a zenon_Hc4 zenon_H11a zenon_H33 zenon_H121 zenon_H173 zenon_H6e zenon_Ha9 zenon_H1c6 zenon_H1a8 zenon_H156 zenon_H68 zenon_H82 zenon_H139 zenon_H5d zenon_H61 zenon_H7d zenon_H7f zenon_H24 zenon_H9f zenon_H13c zenon_H5c zenon_H77.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.24 apply (zenon_L171_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.24 apply (zenon_L226_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.24 apply (zenon_L1562_); trivial.
% 22.12/22.24 apply (zenon_L206_); trivial.
% 22.12/22.24 (* end of lemma zenon_L1566_ *)
% 22.12/22.24 assert (zenon_L1567_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((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 (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> False).
% 22.12/22.24 do 0 intro. intros zenon_Hca zenon_H2c zenon_H18d zenon_H1fe zenon_H140 zenon_H190 zenon_H1cf zenon_Hb6 zenon_H192 zenon_H7f zenon_H1fb zenon_Hfa zenon_H13c zenon_H173 zenon_H186 zenon_H1cd zenon_H1c6 zenon_H121 zenon_Hc4 zenon_H11a zenon_H33 zenon_H156 zenon_H1a8 zenon_H24 zenon_H15d zenon_H5c zenon_Hf5 zenon_H61 zenon_H5d zenon_H7d zenon_H82 zenon_Hf0 zenon_H1a2 zenon_H191 zenon_H196 zenon_H141 zenon_H13f zenon_H195 zenon_H111 zenon_H183 zenon_H212 zenon_Hbc zenon_H1cb zenon_H231 zenon_H104 zenon_H1c2 zenon_H18a zenon_H1c3 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H16a zenon_He2 zenon_H48 zenon_H77 zenon_H13a zenon_H38 zenon_Ha9 zenon_H68 zenon_H139 zenon_H9f zenon_Ha0 zenon_Hcb.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.12/22.24 apply (zenon_L41_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.12/22.24 apply (zenon_L253_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.12/22.24 apply (zenon_L146_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.12/22.24 apply (zenon_L1284_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.12/22.24 apply (zenon_L25_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.12/22.24 apply (zenon_L316_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.24 apply (zenon_L171_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.24 apply (zenon_L1557_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.24 apply (zenon_L929_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.24 apply (zenon_L1150_); trivial.
% 22.12/22.24 apply (zenon_L1162_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.24 apply (zenon_L1563_); trivial.
% 22.12/22.24 apply (zenon_L206_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.24 apply (zenon_L171_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.24 apply (zenon_L150_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.24 apply (zenon_L61_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.24 apply (zenon_L1564_); trivial.
% 22.12/22.24 apply (zenon_L413_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.24 apply (zenon_L1563_); trivial.
% 22.12/22.24 apply (zenon_L206_); trivial.
% 22.12/22.24 apply (zenon_L57_); trivial.
% 22.12/22.24 apply (zenon_L31_); trivial.
% 22.12/22.24 apply (zenon_L246_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.12/22.24 apply (zenon_L1557_); trivial.
% 22.12/22.24 apply (zenon_L1565_); trivial.
% 22.12/22.24 apply (zenon_L414_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.12/22.24 apply (zenon_L41_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.12/22.24 apply (zenon_L253_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.12/22.24 apply (zenon_L146_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.12/22.24 apply (zenon_L1284_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.12/22.24 apply (zenon_L17_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.24 apply (zenon_L171_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.24 apply (zenon_L180_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.24 apply (zenon_L1428_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.24 apply (zenon_L1564_); trivial.
% 22.12/22.24 apply (zenon_L555_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.24 apply (zenon_L1563_); trivial.
% 22.12/22.24 apply (zenon_L206_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.12/22.24 apply (zenon_L1566_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.12/22.24 apply (zenon_L94_); trivial.
% 22.12/22.24 apply (zenon_L165_); trivial.
% 22.12/22.24 apply (zenon_L31_); trivial.
% 22.12/22.24 apply (zenon_L192_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.12/22.24 apply (zenon_L1557_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.12/22.24 apply (zenon_L253_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.12/22.24 apply (zenon_L146_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.12/22.24 apply (zenon_L1284_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.12/22.24 apply (zenon_L18_); trivial.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.12/22.24 apply (zenon_L1429_); trivial.
% 22.12/22.24 apply (zenon_L456_); trivial.
% 22.12/22.24 apply (zenon_L246_); trivial.
% 22.12/22.24 apply (zenon_L414_); trivial.
% 22.12/22.24 (* end of lemma zenon_L1567_ *)
% 22.12/22.24 assert (zenon_L1568_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.12/22.24 do 0 intro. intros zenon_H23b zenon_H9f zenon_H38.
% 22.12/22.24 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.12/22.24 exact (zenon_H238 zenon_H38).
% 22.12/22.24 exact (zenon_Ha4 zenon_H9f).
% 22.12/22.24 (* end of lemma zenon_L1568_ *)
% 22.12/22.24 assert (zenon_L1569_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.12/22.24 do 0 intro. intros zenon_H63 zenon_H9f zenon_H38.
% 22.12/22.24 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.12/22.24 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.12/22.24 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.12/22.25 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.12/22.25 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.12/22.25 apply (zenon_L1568_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1569_ *)
% 22.12/22.25 assert (zenon_L1570_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H16a zenon_H2d zenon_H13f zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H117 zenon_H141 zenon_H195 zenon_Ha5 zenon_H5c zenon_H196 zenon_H27e zenon_H11a zenon_Hef zenon_H1c3 zenon_H68 zenon_H1c2 zenon_H18a zenon_H183 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H106 zenon_H1cb.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.25 apply (zenon_L27_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.25 apply (zenon_L1397_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.25 apply (zenon_L1418_); trivial.
% 22.12/22.25 apply (zenon_L1159_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1570_ *)
% 22.12/22.25 assert (zenon_L1571_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H201 zenon_H1d4 zenon_H1cd zenon_Hac zenon_H191 zenon_H186 zenon_H67 zenon_H1a2 zenon_H16a zenon_H2d zenon_H13f zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H117 zenon_H141 zenon_H195 zenon_Ha5 zenon_H5c zenon_H196 zenon_H27e zenon_H11a zenon_Hef zenon_H1c3 zenon_H68 zenon_H1c2 zenon_H18a zenon_H183 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.25 apply (zenon_L1439_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.25 exact (zenon_H1d4 zenon_H4d).
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.25 apply (zenon_L1440_); trivial.
% 22.12/22.25 apply (zenon_L1570_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1571_ *)
% 22.12/22.25 assert (zenon_L1572_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H201 zenon_H1d4 zenon_H1cd zenon_Hac zenon_H191 zenon_H186 zenon_H67 zenon_H1a2 zenon_H16a zenon_H196 zenon_H13f zenon_H5c zenon_H68 zenon_H141 zenon_H195 zenon_Ha5 zenon_Ha9 zenon_Hdd zenon_Ha0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.25 apply (zenon_L1439_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.25 exact (zenon_H1d4 zenon_H4d).
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.25 apply (zenon_L1440_); trivial.
% 22.12/22.25 apply (zenon_L1441_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1572_ *)
% 22.12/22.25 assert (zenon_L1573_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e2)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H201 zenon_H1d8 zenon_H3d zenon_H1d4 zenon_H16a zenon_Ha0 zenon_H14c zenon_Ha9 zenon_H54 zenon_Hb6 zenon_H117 zenon_H195 zenon_Ha5 zenon_H5c zenon_H196 zenon_H27e zenon_H11a zenon_Hef zenon_H1c3 zenon_H68 zenon_H1c2 zenon_H18a zenon_H183 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.25 apply (zenon_L738_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.25 exact (zenon_H1d4 zenon_H4d).
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.25 apply (zenon_L255_); trivial.
% 22.12/22.25 apply (zenon_L1419_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1573_ *)
% 22.12/22.25 assert (zenon_L1574_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (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 (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H1a8 zenon_H3d zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H183 zenon_H18a zenon_H1c2 zenon_H1c3 zenon_H11a zenon_H27e zenon_H16a zenon_H1a2 zenon_H67 zenon_H186 zenon_H191 zenon_H1cd zenon_H1d4 zenon_H201 zenon_H5c zenon_H195 zenon_H117 zenon_Ha0 zenon_H2d zenon_Hb6 zenon_Ha5 zenon_H77 zenon_H141 zenon_H48 zenon_H68 zenon_H196 zenon_H38 zenon_H13f zenon_Ha9 zenon_Hac.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.25 apply (zenon_L214_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.25 apply (zenon_L1571_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.25 apply (zenon_L1395_); trivial.
% 22.12/22.25 apply (zenon_L371_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1574_ *)
% 22.12/22.25 assert (zenon_L1575_ : (((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 (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H183 zenon_H77 zenon_H7e zenon_Hac zenon_Ha9 zenon_H66 zenon_H177 zenon_H93 zenon_H129.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.12/22.25 apply (zenon_L71_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.12/22.25 apply (zenon_L371_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.12/22.25 apply (zenon_L122_); trivial.
% 22.12/22.25 apply (zenon_L126_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1575_ *)
% 22.12/22.25 assert (zenon_L1576_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((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 (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H16a zenon_H68 zenon_H195 zenon_Ha5 zenon_H105 zenon_Hb6 zenon_H2d zenon_Ha0 zenon_H117 zenon_H111 zenon_H183 zenon_H77 zenon_H7e zenon_Hac zenon_Ha9 zenon_H66 zenon_H177 zenon_H129.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.25 apply (zenon_L27_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.25 apply (zenon_L1394_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.25 apply (zenon_L258_); trivial.
% 22.12/22.25 apply (zenon_L1575_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1576_ *)
% 22.12/22.25 assert (zenon_L1577_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H201 zenon_H1d4 zenon_H177 zenon_H66 zenon_Hac zenon_H7e zenon_H111 zenon_H16a zenon_H2d zenon_H13f zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H117 zenon_H141 zenon_H195 zenon_Ha5 zenon_H5c zenon_H196 zenon_H27e zenon_H11a zenon_Hef zenon_H1c3 zenon_H68 zenon_H1c2 zenon_H18a zenon_H183 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.25 apply (zenon_L94_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.25 exact (zenon_H1d4 zenon_H4d).
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.25 apply (zenon_L1576_); trivial.
% 22.12/22.25 apply (zenon_L1570_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1577_ *)
% 22.12/22.25 assert (zenon_L1578_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H15d zenon_H9f zenon_H68 zenon_H38 zenon_H1a8 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H183 zenon_H18a zenon_H1c2 zenon_H1c3 zenon_H11a zenon_H27e zenon_H2d zenon_H16a zenon_H111 zenon_H177 zenon_H1d4 zenon_H201 zenon_H196 zenon_H13f zenon_Ha0 zenon_H117 zenon_H77 zenon_H48 zenon_H195 zenon_H141 zenon_Ha9 zenon_H139 zenon_H7a zenon_H13a zenon_H82 zenon_H1cd zenon_Hac zenon_H191 zenon_Ha5 zenon_H186 zenon_Hb6 zenon_H1a2 zenon_H5c zenon_Hf5.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.12/22.25 apply (zenon_L253_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.12/22.25 apply (zenon_L1149_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.12/22.25 exact (zenon_H7a zenon_H3c).
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.12/22.25 apply (zenon_L217_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.12/22.25 apply (zenon_L1574_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.12/22.25 apply (zenon_L214_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.25 apply (zenon_L214_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.25 apply (zenon_L1577_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.25 apply (zenon_L1397_); trivial.
% 22.12/22.25 apply (zenon_L371_); trivial.
% 22.12/22.25 apply (zenon_L165_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.12/22.25 apply (zenon_L1439_); trivial.
% 22.12/22.25 apply (zenon_L192_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1578_ *)
% 22.12/22.25 assert (zenon_L1579_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 22.12/22.25 do 0 intro. intros zenon_He4 zenon_H1d8 zenon_H153 zenon_H40 zenon_Hdd zenon_H48 zenon_H7d zenon_H7e.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.12/22.25 apply (zenon_L738_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.12/22.25 exact (zenon_H40 zenon_H3f).
% 22.12/22.25 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.12/22.25 apply (zenon_L111_); trivial.
% 22.12/22.25 apply (zenon_L31_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1579_ *)
% 22.12/22.25 assert (zenon_L1580_ : (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H1cb zenon_H77 zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H117 zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H141 zenon_H68 zenon_H13f zenon_H196 zenon_H16a zenon_H1d4 zenon_He4 zenon_H1d8 zenon_H40 zenon_H7d zenon_H7e zenon_H201 zenon_Hdd zenon_H48 zenon_H1cd zenon_Hac zenon_H191 zenon_Ha5 zenon_H186 zenon_H67 zenon_H1a2 zenon_H195 zenon_H5c.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.25 apply (zenon_L1579_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.25 exact (zenon_H1d4 zenon_H4d).
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.25 apply (zenon_L1440_); trivial.
% 22.12/22.25 apply (zenon_L1441_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.12/22.25 apply (zenon_L111_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.12/22.25 apply (zenon_L1440_); trivial.
% 22.12/22.25 apply (zenon_L149_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1580_ *)
% 22.12/22.25 assert (zenon_L1581_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H117 zenon_Ha9 zenon_H65 zenon_Hb6 zenon_H53 zenon_H14c zenon_Ha0 zenon_Ha5 zenon_H195.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.12/22.25 apply (zenon_L43_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.12/22.25 apply (zenon_L113_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.12/22.25 apply (zenon_L278_); trivial.
% 22.12/22.25 apply (zenon_L172_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1581_ *)
% 22.12/22.25 assert (zenon_L1582_ : (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((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 (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (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 (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e2)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H68 zenon_H38 zenon_H125 zenon_H1d5 zenon_Ha9 zenon_H1a8 zenon_H156 zenon_H196 zenon_H13f zenon_Ha0 zenon_H117 zenon_H48 zenon_H195 zenon_H5c zenon_H141 zenon_H111 zenon_H177 zenon_H201 zenon_H1d8 zenon_H16a zenon_H27e zenon_H11a zenon_H1c3 zenon_H1c2 zenon_H18a zenon_H183 zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1cb zenon_H25 zenon_Hfa zenon_H77 zenon_He4 zenon_H7d zenon_H15d zenon_H9f zenon_H139 zenon_H13a zenon_H82 zenon_Hf0 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_Hcc zenon_H282 zenon_H236 zenon_H189 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1cd zenon_Hac zenon_H191 zenon_Ha5 zenon_H186 zenon_Hb6 zenon_H1a2 zenon_Heb zenon_H7a zenon_H40 zenon_H1d4 zenon_Hf5.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.12/22.25 apply (zenon_L253_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.12/22.25 apply (zenon_L1149_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.12/22.25 exact (zenon_H7a zenon_H3c).
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.25 apply (zenon_L171_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.25 apply (zenon_L1571_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.25 apply (zenon_L1572_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.25 apply (zenon_L1573_); trivial.
% 22.12/22.25 apply (zenon_L1162_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.25 apply (zenon_L1545_); trivial.
% 22.12/22.25 apply (zenon_L299_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.12/22.25 apply (zenon_L214_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.12/22.25 apply (zenon_L1398_); trivial.
% 22.12/22.25 apply (zenon_L165_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.25 apply (zenon_L171_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.25 apply (zenon_L1578_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.25 apply (zenon_L1580_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.12/22.25 apply (zenon_L1573_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.25 apply (zenon_L738_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.25 exact (zenon_H1d4 zenon_H4d).
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.25 apply (zenon_L1440_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.25 apply (zenon_L1581_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.25 apply (zenon_L56_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.25 apply (zenon_L1418_); trivial.
% 22.12/22.25 apply (zenon_L1159_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.12/22.25 apply (zenon_L255_); trivial.
% 22.12/22.25 apply (zenon_L149_); trivial.
% 22.12/22.25 apply (zenon_L1162_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.25 apply (zenon_L1545_); trivial.
% 22.12/22.25 apply (zenon_L299_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.12/22.25 apply (zenon_L214_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.12/22.25 apply (zenon_L252_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.12/22.25 apply (zenon_L171_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.25 apply (zenon_L171_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.25 apply (zenon_L1577_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.25 apply (zenon_L1459_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.12/22.25 apply (zenon_L1573_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.12/22.25 apply (zenon_L1581_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.12/22.25 apply (zenon_L255_); trivial.
% 22.12/22.25 apply (zenon_L149_); trivial.
% 22.12/22.25 apply (zenon_L1162_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.25 apply (zenon_L1545_); trivial.
% 22.12/22.25 apply (zenon_L299_); trivial.
% 22.12/22.25 apply (zenon_L71_); trivial.
% 22.12/22.25 apply (zenon_L165_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.12/22.25 apply (zenon_L1439_); trivial.
% 22.12/22.25 apply (zenon_L461_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1582_ *)
% 22.12/22.25 assert (zenon_L1583_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H141 zenon_H34 zenon_H109 zenon_He7 zenon_Hf0 zenon_H1cb zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H183 zenon_H18a zenon_H1c2 zenon_H68 zenon_H1c3 zenon_Hef zenon_H11a zenon_H27e zenon_H5c zenon_Ha5 zenon_H195 zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha9 zenon_Ha0 zenon_H16a zenon_H1d4 zenon_H3d zenon_H1d8 zenon_H201 zenon_H196 zenon_H38.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.25 apply (zenon_L359_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.25 apply (zenon_L929_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.25 apply (zenon_L1573_); trivial.
% 22.12/22.25 apply (zenon_L1162_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1583_ *)
% 22.12/22.25 assert (zenon_L1584_ : (((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 (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e2)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (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 (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H1a8 zenon_H201 zenon_H1d8 zenon_H3d zenon_H1d4 zenon_H16a zenon_H5c zenon_H27e zenon_H11a zenon_H1c3 zenon_H1c2 zenon_H18a zenon_H183 zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H1cb zenon_Hf0 zenon_He7 zenon_H109 zenon_H34 zenon_H38 zenon_H196 zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha0 zenon_Ha5 zenon_H195 zenon_H68 zenon_H48 zenon_H141 zenon_Ha9 zenon_Hac.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.25 apply (zenon_L214_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.25 apply (zenon_L1583_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.25 apply (zenon_L1393_); trivial.
% 22.12/22.25 apply (zenon_L371_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1584_ *)
% 22.12/22.25 assert (zenon_L1585_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H16a zenon_H5c zenon_H111 zenon_H153 zenon_H13f zenon_H68 zenon_H195 zenon_Ha5 zenon_Ha9 zenon_Hdd zenon_Ha0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H7f zenon_H1b7.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.25 apply (zenon_L150_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.25 apply (zenon_L54_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.25 apply (zenon_L173_); trivial.
% 22.12/22.25 apply (zenon_L1276_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1585_ *)
% 22.12/22.25 assert (zenon_L1586_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((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)) = (e0)) -> False).
% 22.12/22.25 do 0 intro. intros zenon_He4 zenon_H1d8 zenon_H40 zenon_H55 zenon_H141 zenon_H1b7 zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H117 zenon_H54 zenon_Ha9 zenon_Ha5 zenon_H195 zenon_H68 zenon_H13f zenon_H111 zenon_H5c zenon_H16a zenon_H1cd zenon_Hb1 zenon_Ha0 zenon_Hf3 zenon_H153 zenon_Hb6 zenon_H1a2 zenon_H196 zenon_H38.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.12/22.25 apply (zenon_L738_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.12/22.25 exact (zenon_H40 zenon_H3f).
% 22.12/22.25 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.12/22.25 apply (zenon_L15_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.25 apply (zenon_L217_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.25 apply (zenon_L1585_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.25 apply (zenon_L362_); trivial.
% 22.12/22.25 apply (zenon_L1162_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1586_ *)
% 22.12/22.25 assert (zenon_L1587_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H117 zenon_H54 zenon_Ha9 zenon_H6d zenon_Hb6 zenon_H105 zenon_Ha0 zenon_H115.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.12/22.25 apply (zenon_L151_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.12/22.25 apply (zenon_L289_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.12/22.25 apply (zenon_L400_); trivial.
% 22.12/22.25 apply (zenon_L77_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1587_ *)
% 22.12/22.25 assert (zenon_L1588_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e3))) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H141 zenon_H34 zenon_H109 zenon_H68 zenon_H195 zenon_Ha5 zenon_H117 zenon_H54 zenon_Ha9 zenon_H6d zenon_Hb6 zenon_H105 zenon_Ha0.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.25 apply (zenon_L359_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.25 apply (zenon_L54_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.25 apply (zenon_L1090_); trivial.
% 22.12/22.25 apply (zenon_L1587_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1588_ *)
% 22.12/22.25 assert (zenon_L1589_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.12/22.25 do 0 intro. intros zenon_Heb zenon_H7a zenon_H40 zenon_H1d4 zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_H93 zenon_Hc4.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.12/22.25 exact (zenon_H7a zenon_H3c).
% 22.12/22.25 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.12/22.25 exact (zenon_H40 zenon_H3f).
% 22.12/22.25 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.12/22.25 exact (zenon_H1d4 zenon_H4d).
% 22.12/22.25 apply (zenon_L413_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1589_ *)
% 22.12/22.25 assert (zenon_L1590_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H201 zenon_H1a2 zenon_Hf3 zenon_Hb1 zenon_H1cd zenon_H111 zenon_H1b7 zenon_H55 zenon_H1d8 zenon_He4 zenon_H1d4 zenon_H40 zenon_H7a zenon_Heb zenon_H34 zenon_H109 zenon_H67 zenon_H2c zenon_H16a zenon_H196 zenon_H13f zenon_H5c zenon_H68 zenon_H141 zenon_H195 zenon_Ha5 zenon_Ha9 zenon_Hdd zenon_Ha0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.25 apply (zenon_L1586_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.25 exact (zenon_H1d4 zenon_H4d).
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.25 apply (zenon_L180_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.25 apply (zenon_L1588_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.25 apply (zenon_L173_); trivial.
% 22.12/22.25 apply (zenon_L1589_); trivial.
% 22.12/22.25 apply (zenon_L1441_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1590_ *)
% 22.12/22.25 assert (zenon_L1591_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (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) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.12/22.25 do 0 intro. intros zenon_H141 zenon_H13f zenon_H2c zenon_H67 zenon_H109 zenon_H34 zenon_Heb zenon_H7a zenon_H40 zenon_He4 zenon_H1d8 zenon_H55 zenon_H1b7 zenon_H111 zenon_H1cb zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H183 zenon_H18a zenon_H1c2 zenon_H68 zenon_H1c3 zenon_Hef zenon_H11a zenon_H27e zenon_H5c zenon_Ha5 zenon_H195 zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha9 zenon_Ha0 zenon_H16a zenon_H1d4 zenon_H1a2 zenon_Hf3 zenon_Hb1 zenon_H1cd zenon_H201 zenon_H196 zenon_H38.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.25 apply (zenon_L217_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.25 apply (zenon_L1590_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.25 apply (zenon_L362_); trivial.
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.25 exact (zenon_H1d4 zenon_H4d).
% 22.12/22.25 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.25 apply (zenon_L255_); trivial.
% 22.12/22.25 apply (zenon_L1419_); trivial.
% 22.12/22.25 apply (zenon_L1162_); trivial.
% 22.12/22.25 (* end of lemma zenon_L1591_ *)
% 22.12/22.26 assert (zenon_L1592_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (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)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (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) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H169 zenon_Ha0 zenon_H9f zenon_H139 zenon_H68 zenon_Ha9 zenon_H38 zenon_H13a zenon_H77 zenon_H7a zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H1b7 zenon_H1c6 zenon_H25b zenon_Hf5 zenon_H189 zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H111 zenon_Hf0 zenon_H1d8 zenon_H1a2 zenon_Hac zenon_H1cd zenon_H191 zenon_Ha5 zenon_H186 zenon_H16a zenon_H1bb zenon_Hc4 zenon_H20f zenon_H1b4 zenon_H1cb zenon_H18d zenon_H1c3 zenon_H18a zenon_H1c2 zenon_H11a zenon_H27e zenon_H129 zenon_H183 zenon_H13f zenon_H5c zenon_H48 zenon_H117 zenon_H195 zenon_H196 zenon_H141 zenon_H201 zenon_H1a8 zenon_H156 zenon_Hfa zenon_H1d5 zenon_H125 zenon_H40 zenon_H7d zenon_He4 zenon_H82 zenon_H177 zenon_Hb6 zenon_H179 zenon_H109 zenon_H2c zenon_Hb1 zenon_H13b zenon_H1fe.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.12/22.26 apply (zenon_L41_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.12/22.26 apply (zenon_L1582_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.12/22.26 apply (zenon_L1578_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.12/22.26 apply (zenon_L253_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.12/22.26 apply (zenon_L1149_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.12/22.26 exact (zenon_H7a zenon_H3c).
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.12/22.26 apply (zenon_L297_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.12/22.26 apply (zenon_L1584_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.26 apply (zenon_L214_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.26 apply (zenon_L1591_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.26 apply (zenon_L1393_); trivial.
% 22.12/22.26 apply (zenon_L371_); trivial.
% 22.12/22.26 apply (zenon_L157_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.12/22.26 apply (zenon_L214_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.12/22.26 apply (zenon_L1398_); trivial.
% 22.12/22.26 apply (zenon_L165_); trivial.
% 22.12/22.26 apply (zenon_L456_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.12/22.26 apply (zenon_L1439_); trivial.
% 22.12/22.26 apply (zenon_L461_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.12/22.26 apply (zenon_L253_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.26 apply (zenon_L214_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.26 exact (zenon_H1b3 zenon_Hef).
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.26 apply (zenon_L1397_); trivial.
% 22.12/22.26 apply (zenon_L371_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.12/22.26 apply (zenon_L1439_); trivial.
% 22.12/22.26 apply (zenon_L192_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1592_ *)
% 22.12/22.26 assert (zenon_L1593_ : ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (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 (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (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))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H3e zenon_H1fe zenon_H13b zenon_Hb1 zenon_H2c zenon_H109 zenon_H179 zenon_Hb6 zenon_H177 zenon_H82 zenon_He4 zenon_H7d zenon_H125 zenon_H1d5 zenon_Hfa zenon_H156 zenon_H1a8 zenon_H201 zenon_H141 zenon_H196 zenon_H195 zenon_H117 zenon_H48 zenon_H5c zenon_H13f zenon_H183 zenon_H129 zenon_H27e zenon_H11a zenon_H1c2 zenon_H18a zenon_H1c3 zenon_H18d zenon_H1cb zenon_H1b4 zenon_H20f zenon_Hc4 zenon_H1bb zenon_H16a zenon_H186 zenon_Ha5 zenon_H191 zenon_H1cd zenon_Hac zenon_H1a2 zenon_H1d8 zenon_Hf0 zenon_H111 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H236 zenon_H189 zenon_Hf5 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H7a zenon_H77 zenon_H13a zenon_H38 zenon_Ha9 zenon_H68 zenon_H139 zenon_H9f zenon_Ha0 zenon_H169.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.12/22.26 apply (zenon_L1592_); trivial.
% 22.12/22.26 apply (zenon_L1592_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1593_ *)
% 22.12/22.26 assert (zenon_L1594_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.12/22.26 do 0 intro. intros zenon_He2 zenon_H1fb zenon_H38 zenon_He3 zenon_H2d zenon_H55 zenon_Ha0 zenon_Hac.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.12/22.26 apply (zenon_L316_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.12/22.26 exact (zenon_He3 zenon_He7).
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.12/22.26 apply (zenon_L702_); trivial.
% 22.12/22.26 apply (zenon_L107_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1594_ *)
% 22.12/22.26 assert (zenon_L1595_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H139 zenon_H2c zenon_H65 zenon_H159 zenon_H173 zenon_H40 zenon_He3 zenon_H158 zenon_H153 zenon_H77 zenon_H38 zenon_H68.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.12/22.26 apply (zenon_L180_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.12/22.26 apply (zenon_L306_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.12/22.26 apply (zenon_L94_); trivial.
% 22.12/22.26 apply (zenon_L165_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1595_ *)
% 22.12/22.26 assert (zenon_L1596_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H183 zenon_H68 zenon_H34 zenon_Hac zenon_Ha9 zenon_H66 zenon_H177 zenon_H93 zenon_H129.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.12/22.26 apply (zenon_L291_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.12/22.26 apply (zenon_L371_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.12/22.26 apply (zenon_L122_); trivial.
% 22.12/22.26 apply (zenon_L126_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1596_ *)
% 22.12/22.26 assert (zenon_L1597_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H139 zenon_H77 zenon_H47 zenon_H159 zenon_H173 zenon_H40 zenon_He3 zenon_H158 zenon_H129 zenon_H177 zenon_Ha9 zenon_Hac zenon_H34 zenon_H68 zenon_H183 zenon_H93 zenon_H196.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.12/22.26 apply (zenon_L251_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.12/22.26 apply (zenon_L306_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.12/22.26 apply (zenon_L1596_); trivial.
% 22.12/22.26 apply (zenon_L167_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1597_ *)
% 22.12/22.26 assert (zenon_L1598_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H183 zenon_H68 zenon_Hac zenon_Ha9 zenon_Hc4 zenon_H1cb zenon_H106 zenon_H34 zenon_H18a zenon_H1bb zenon_H93 zenon_H129.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.12/22.26 apply (zenon_L291_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.12/22.26 apply (zenon_L371_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.12/22.26 apply (zenon_L847_); trivial.
% 22.12/22.26 apply (zenon_L126_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1598_ *)
% 22.12/22.26 assert (zenon_L1599_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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 (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H12e zenon_H48 zenon_H3d zenon_H192 zenon_H129 zenon_H93 zenon_H1bb zenon_H18a zenon_H34 zenon_H1cb zenon_Hc4 zenon_Ha9 zenon_Hac zenon_H68 zenon_H183 zenon_H5c zenon_H20f.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.12/22.26 apply (zenon_L456_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.12/22.26 apply (zenon_L146_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.12/22.26 apply (zenon_L1598_); trivial.
% 22.12/22.26 apply (zenon_L412_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1599_ *)
% 22.12/22.26 assert (zenon_L1600_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_He4 zenon_H1d8 zenon_H153 zenon_H40 zenon_Hdd zenon_H48 zenon_H11f zenon_H1b7.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.12/22.26 apply (zenon_L738_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.12/22.26 exact (zenon_H40 zenon_H3f).
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.12/22.26 apply (zenon_L111_); trivial.
% 22.12/22.26 apply (zenon_L780_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1600_ *)
% 22.12/22.26 assert (zenon_L1601_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.12/22.26 do 0 intro. intros zenon_He2 zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha5 zenon_Hf5 zenon_Ha9 zenon_H9f zenon_H1c3 zenon_He3 zenon_H1b7 zenon_H11f zenon_H48 zenon_H40 zenon_H153 zenon_H1d8 zenon_He4 zenon_Ha0 zenon_Hac.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.12/22.26 apply (zenon_L1517_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.12/22.26 exact (zenon_He3 zenon_He7).
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.12/22.26 apply (zenon_L1600_); trivial.
% 22.12/22.26 apply (zenon_L107_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1601_ *)
% 22.12/22.26 assert (zenon_L1602_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.12/22.26 do 0 intro. intros zenon_He2 zenon_Hdb zenon_He3 zenon_H1b7 zenon_H11f zenon_H48 zenon_H40 zenon_H153 zenon_H1d8 zenon_He4 zenon_Ha0 zenon_Hac.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.12/22.26 apply (zenon_L53_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.12/22.26 exact (zenon_He3 zenon_He7).
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.12/22.26 apply (zenon_L1600_); trivial.
% 22.12/22.26 apply (zenon_L107_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1602_ *)
% 22.12/22.26 assert (zenon_L1603_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H13a zenon_H1c3 zenon_Ha9 zenon_Hf5 zenon_Ha5 zenon_H196 zenon_H1b4 zenon_H1fb zenon_H25e zenon_H77 zenon_Hac zenon_He4 zenon_H1d8 zenon_H40 zenon_H48 zenon_H11f zenon_H1b7 zenon_He3 zenon_He2 zenon_Hb6 zenon_H153 zenon_H38 zenon_Ha0.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.12/22.26 apply (zenon_L1601_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.12/22.26 apply (zenon_L1602_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.12/22.26 apply (zenon_L95_); trivial.
% 22.12/22.26 apply (zenon_L156_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1603_ *)
% 22.12/22.26 assert (zenon_L1604_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H1bb zenon_H18a zenon_H34 zenon_Ha0 zenon_H38 zenon_H153 zenon_Hb6 zenon_He2 zenon_He3 zenon_H1b7 zenon_H48 zenon_H40 zenon_H1d8 zenon_He4 zenon_Hac zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha5 zenon_Hf5 zenon_Ha9 zenon_H1c3 zenon_H13a zenon_H1cb zenon_H160 zenon_Hc4.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 22.12/22.26 apply (zenon_L416_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 22.12/22.26 apply (zenon_L1603_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 22.12/22.26 apply (zenon_L236_); trivial.
% 22.12/22.26 exact (zenon_Hc4 zenon_Hc3).
% 22.12/22.26 (* end of lemma zenon_L1604_ *)
% 22.12/22.26 assert (zenon_L1605_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H183 zenon_H68 zenon_Hc4 zenon_H1cb zenon_H13a zenon_H1c3 zenon_Ha9 zenon_Hf5 zenon_Ha5 zenon_H196 zenon_H1b4 zenon_H1fb zenon_H25e zenon_H77 zenon_Hac zenon_He4 zenon_H1d8 zenon_H40 zenon_H48 zenon_H1b7 zenon_He3 zenon_He2 zenon_Hb6 zenon_H153 zenon_H38 zenon_Ha0 zenon_H34 zenon_H18a zenon_H1bb zenon_H93 zenon_H129.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.12/22.26 apply (zenon_L291_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.12/22.26 apply (zenon_L371_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.12/22.26 apply (zenon_L1604_); trivial.
% 22.12/22.26 apply (zenon_L126_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1605_ *)
% 22.12/22.26 assert (zenon_L1606_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (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) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((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 (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H15d zenon_H177 zenon_H158 zenon_H173 zenon_H159 zenon_H139 zenon_H20f zenon_H5c zenon_H192 zenon_H12e zenon_H129 zenon_H93 zenon_H1bb zenon_H18a zenon_H34 zenon_Ha0 zenon_Hb6 zenon_He2 zenon_He3 zenon_H1b7 zenon_H40 zenon_H1d8 zenon_He4 zenon_Hac zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha5 zenon_Hf5 zenon_Ha9 zenon_H1c3 zenon_H13a zenon_H1cb zenon_Hc4 zenon_H68 zenon_H183 zenon_H38 zenon_H48.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.12/22.26 apply (zenon_L1597_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.12/22.26 apply (zenon_L1599_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.12/22.26 apply (zenon_L1605_); trivial.
% 22.12/22.26 apply (zenon_L246_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1606_ *)
% 22.12/22.26 assert (zenon_L1607_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (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) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((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 (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_Heb zenon_H54 zenon_H100 zenon_H1d4 zenon_H15d zenon_H177 zenon_H158 zenon_H173 zenon_H159 zenon_H139 zenon_H20f zenon_H192 zenon_H12e zenon_H129 zenon_H93 zenon_H1bb zenon_H18a zenon_H34 zenon_Ha0 zenon_Hb6 zenon_He2 zenon_He3 zenon_H1b7 zenon_H40 zenon_H1d8 zenon_He4 zenon_Hac zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha5 zenon_Hf5 zenon_Ha9 zenon_H1c3 zenon_H13a zenon_H1cb zenon_Hc4 zenon_H68 zenon_H183 zenon_H38 zenon_H48.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.12/22.26 apply (zenon_L69_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.12/22.26 exact (zenon_H40 zenon_H3f).
% 22.12/22.26 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.12/22.26 exact (zenon_H1d4 zenon_H4d).
% 22.12/22.26 apply (zenon_L1606_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1607_ *)
% 22.12/22.26 assert (zenon_L1608_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (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) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H16a zenon_H153 zenon_H2c zenon_H195 zenon_Hdd zenon_H117 zenon_Heb zenon_H54 zenon_H100 zenon_H1d4 zenon_H15d zenon_H177 zenon_H158 zenon_H173 zenon_H159 zenon_H139 zenon_H20f zenon_H192 zenon_H12e zenon_H129 zenon_H1bb zenon_H18a zenon_H34 zenon_Ha0 zenon_Hb6 zenon_He2 zenon_He3 zenon_H1b7 zenon_H40 zenon_H1d8 zenon_He4 zenon_Hac zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha5 zenon_Hf5 zenon_Ha9 zenon_H1c3 zenon_H13a zenon_H1cb zenon_Hc4 zenon_H68 zenon_H183 zenon_H38 zenon_H48.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.26 apply (zenon_L1595_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.26 apply (zenon_L54_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.26 apply (zenon_L173_); trivial.
% 22.12/22.26 apply (zenon_L1607_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1608_ *)
% 22.12/22.26 assert (zenon_L1609_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e3))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H141 zenon_H48 zenon_H68 zenon_H195 zenon_Ha5 zenon_H117 zenon_H54 zenon_Ha9 zenon_H6d zenon_Hb6 zenon_H105 zenon_Ha0.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.26 apply (zenon_L217_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.26 apply (zenon_L54_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.26 apply (zenon_L1090_); trivial.
% 22.12/22.26 apply (zenon_L1587_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1609_ *)
% 22.12/22.26 assert (zenon_L1610_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H158 zenon_He3 zenon_H40 zenon_Hf0 zenon_H6d zenon_H159.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_He7 | zenon_intro zenon_H15a ].
% 22.12/22.26 exact (zenon_He3 zenon_He7).
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H3f | zenon_intro zenon_H15b ].
% 22.12/22.26 exact (zenon_H40 zenon_H3f).
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Hef | zenon_intro zenon_H10c ].
% 22.12/22.26 apply (zenon_L61_); trivial.
% 22.12/22.26 exact (zenon_H159 zenon_H10c).
% 22.12/22.26 (* end of lemma zenon_L1610_ *)
% 22.12/22.26 assert (zenon_L1611_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H16a zenon_H159 zenon_Hf0 zenon_H40 zenon_He3 zenon_H158 zenon_H195 zenon_Ha5 zenon_Ha9 zenon_Hdd zenon_Ha0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H106 zenon_H1cb.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.26 apply (zenon_L30_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.26 apply (zenon_L1610_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.26 apply (zenon_L173_); trivial.
% 22.12/22.26 apply (zenon_L1159_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1611_ *)
% 22.12/22.26 assert (zenon_L1612_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H201 zenon_H2c zenon_H183 zenon_H68 zenon_H13a zenon_H1c3 zenon_Hf5 zenon_H196 zenon_H1fb zenon_H25e zenon_Hac zenon_He4 zenon_H1d8 zenon_H1b7 zenon_He2 zenon_H34 zenon_H18a zenon_H12e zenon_H192 zenon_H139 zenon_H173 zenon_H177 zenon_H15d zenon_H1d4 zenon_H100 zenon_Heb zenon_H141 zenon_H16a zenon_H159 zenon_Hf0 zenon_H40 zenon_He3 zenon_H158 zenon_H195 zenon_Ha5 zenon_Ha9 zenon_Hdd zenon_Ha0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.26 apply (zenon_L1608_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.26 exact (zenon_H1d4 zenon_H4d).
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.26 apply (zenon_L30_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.26 apply (zenon_L1609_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.26 apply (zenon_L173_); trivial.
% 22.12/22.26 apply (zenon_L1607_); trivial.
% 22.12/22.26 apply (zenon_L1611_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1612_ *)
% 22.12/22.26 assert (zenon_L1613_ : (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((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 (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H1cb zenon_H77 zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha9 zenon_Ha5 zenon_H195 zenon_H158 zenon_He3 zenon_H40 zenon_Hf0 zenon_H159 zenon_H16a zenon_H141 zenon_Heb zenon_H100 zenon_H1d4 zenon_H15d zenon_H177 zenon_H173 zenon_H139 zenon_H192 zenon_H12e zenon_H18a zenon_H34 zenon_He2 zenon_H1b7 zenon_H1d8 zenon_He4 zenon_H25e zenon_H1fb zenon_H196 zenon_Hf5 zenon_H1c3 zenon_H13a zenon_H68 zenon_H183 zenon_H2c zenon_H201 zenon_Ha0 zenon_Hac.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.12/22.26 apply (zenon_L316_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.12/22.26 exact (zenon_He3 zenon_He7).
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.12/22.26 apply (zenon_L1612_); trivial.
% 22.12/22.26 apply (zenon_L107_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1613_ *)
% 22.12/22.26 assert (zenon_L1614_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H15c zenon_He3 zenon_H40 zenon_H1b3 zenon_H158 zenon_H5c.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.12/22.26 exact (zenon_Hec zenon_H5c).
% 22.12/22.26 apply (zenon_L1113_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1614_ *)
% 22.12/22.26 assert (zenon_L1615_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (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 (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((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 (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H169 zenon_H5c zenon_H1fe zenon_Hb6 zenon_H5d zenon_H16a zenon_H100 zenon_H15d zenon_H1d8 zenon_H1b7 zenon_He4 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H1c3 zenon_H13a zenon_H48 zenon_H192 zenon_H18a zenon_H1cb zenon_Hc4 zenon_H1bb zenon_H20f zenon_H12e zenon_H183 zenon_H129 zenon_H177 zenon_H196 zenon_Heb zenon_Ha9 zenon_H195 zenon_H117 zenon_H2c zenon_H173 zenon_H77 zenon_H68 zenon_H139 zenon_H141 zenon_H18d zenon_Hf0 zenon_H201 zenon_H82 zenon_H1fb zenon_H38 zenon_H55 zenon_Hac zenon_He2 zenon_H4e zenon_H158 zenon_H156 zenon_H40 zenon_He3 zenon_H186 zenon_Ha5 zenon_H1ec zenon_H9f zenon_Ha0 zenon_H15c.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.12/22.26 exact (zenon_Hec zenon_H5c).
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.12/22.26 apply (zenon_L41_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.12/22.26 apply (zenon_L309_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.12/22.26 apply (zenon_L1594_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.12/22.26 apply (zenon_L253_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.12/22.26 apply (zenon_L17_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.12/22.26 apply (zenon_L1613_); trivial.
% 22.12/22.26 apply (zenon_L456_); trivial.
% 22.12/22.26 apply (zenon_L1614_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1615_ *)
% 22.12/22.26 assert (zenon_L1616_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 22.12/22.26 do 0 intro. intros zenon_He4 zenon_H1d8 zenon_H153 zenon_H234 zenon_H1bb zenon_H129 zenon_H5c zenon_H20f zenon_H38 zenon_H1b4 zenon_H283 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H77 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H8b zenon_H7b zenon_H7d zenon_H7e.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.12/22.26 apply (zenon_L738_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.12/22.26 apply (zenon_L484_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.12/22.26 apply (zenon_L1357_); trivial.
% 22.12/22.26 apply (zenon_L31_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1616_ *)
% 22.12/22.26 assert (zenon_L1617_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H82 zenon_H1ba zenon_He4 zenon_H1d8 zenon_H153 zenon_H234 zenon_H1bb zenon_H129 zenon_H5c zenon_H20f zenon_H38 zenon_H1b4 zenon_H283 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H77 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H8b zenon_H7b zenon_H7d.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.12/22.26 apply (zenon_L1284_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.12/22.26 apply (zenon_L17_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.12/22.26 apply (zenon_L1356_); trivial.
% 22.12/22.26 apply (zenon_L1616_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1617_ *)
% 22.12/22.26 assert (zenon_L1618_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (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 (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H1fe zenon_H13f zenon_H140 zenon_Hc4 zenon_H9f zenon_Hbb zenon_H177 zenon_H7d zenon_H7b zenon_H8b zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H38 zenon_H20f zenon_H129 zenon_H1bb zenon_H234 zenon_H1d8 zenon_He4 zenon_H1ba zenon_H82 zenon_H5c zenon_Hf5.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.12/22.26 apply (zenon_L41_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.12/22.26 apply (zenon_L1359_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.12/22.26 apply (zenon_L1360_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.12/22.26 apply (zenon_L253_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.12/22.26 apply (zenon_L1364_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.12/22.26 apply (zenon_L1617_); trivial.
% 22.12/22.26 apply (zenon_L192_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1618_ *)
% 22.12/22.26 assert (zenon_L1619_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H201 zenon_H5c zenon_H1a8 zenon_H156 zenon_H38 zenon_H1b4 zenon_Ha0 zenon_Hbb zenon_H183 zenon_H189 zenon_H68 zenon_H1c3 zenon_H163 zenon_H212 zenon_H7d zenon_H18a zenon_Hbc zenon_H13b zenon_H179 zenon_H173 zenon_H10c zenon_H6f zenon_H192 zenon_H288 zenon_H16a zenon_H7b zenon_Hf0 zenon_H8b zenon_H19a zenon_H1b7 zenon_H1bb zenon_H20f zenon_Hc4 zenon_H18d zenon_H1cf zenon_H1d5 zenon_H67 zenon_H4e zenon_H1cb zenon_Hfa zenon_H54 zenon_H55 zenon_H234 zenon_H1d8 zenon_He4 zenon_H48 zenon_H164 zenon_H77 zenon_H72 zenon_H1bf zenon_H121 zenon_H33 zenon_H9f zenon_H171 zenon_Ha9 zenon_Hb6 zenon_Hb9 zenon_H129.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.26 apply (zenon_L1378_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.26 apply (zenon_L59_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.26 exact (zenon_H1bf zenon_H105).
% 22.12/22.26 apply (zenon_L493_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1619_ *)
% 22.12/22.26 assert (zenon_L1620_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.12/22.26 do 0 intro. intros zenon_H195 zenon_Hb9 zenon_Hbb zenon_H163 zenon_H201 zenon_H1a8 zenon_H156 zenon_H38 zenon_H1b4 zenon_Ha0 zenon_H183 zenon_H189 zenon_H68 zenon_H1c3 zenon_H212 zenon_H7d zenon_H18a zenon_Hbc zenon_H13b zenon_H179 zenon_H173 zenon_H6f zenon_H192 zenon_H288 zenon_H16a zenon_H7b zenon_Hf0 zenon_H8b zenon_H19a zenon_H1b7 zenon_H1bb zenon_H20f zenon_Hc4 zenon_H18d zenon_H1cf zenon_H1d5 zenon_H67 zenon_H4e zenon_H1cb zenon_Hfa zenon_H54 zenon_H55 zenon_H234 zenon_H1d8 zenon_He4 zenon_H48 zenon_H164 zenon_H1bf zenon_H121 zenon_H33 zenon_H9f zenon_Ha9 zenon_Hb6 zenon_H129 zenon_H24 zenon_H13c zenon_H186 zenon_H283 zenon_H131 zenon_H73 zenon_H1ec zenon_H158 zenon_H13a zenon_H13e zenon_H190 zenon_H266 zenon_H1ef zenon_H139 zenon_H1a2 zenon_H1c6 zenon_H25b zenon_Hf5 zenon_H27e zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H13f zenon_H141 zenon_H117 zenon_H196 zenon_H5c zenon_H77.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.26 apply (zenon_L1367_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.26 apply (zenon_L1373_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.26 apply (zenon_L1381_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.26 apply (zenon_L100_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.26 apply (zenon_L900_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.26 apply (zenon_L1383_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.26 apply (zenon_L436_); trivial.
% 22.12/22.26 apply (zenon_L1393_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.26 apply (zenon_L900_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.26 apply (zenon_L1619_); trivial.
% 22.12/22.26 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.26 apply (zenon_L617_); trivial.
% 22.12/22.26 apply (zenon_L172_); trivial.
% 22.12/22.26 apply (zenon_L206_); trivial.
% 22.12/22.26 (* end of lemma zenon_L1620_ *)
% 22.12/22.26 assert (zenon_L1621_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (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 (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (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) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (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) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.12/22.27 do 0 intro. intros zenon_H196 zenon_H117 zenon_H141 zenon_H13f zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H236 zenon_H27e zenon_Hf5 zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H139 zenon_H1ef zenon_H266 zenon_H190 zenon_H13e zenon_H13a zenon_H158 zenon_H1ec zenon_H73 zenon_H131 zenon_H283 zenon_H13c zenon_H24 zenon_H129 zenon_Ha9 zenon_H9f zenon_H33 zenon_H121 zenon_H164 zenon_H48 zenon_He4 zenon_H1d8 zenon_H234 zenon_H55 zenon_H54 zenon_Hfa zenon_H1cb zenon_H4e zenon_H1d5 zenon_H1cf zenon_H18d zenon_Hc4 zenon_H20f zenon_H1bb zenon_H1b7 zenon_H19a zenon_H8b zenon_Hf0 zenon_H7b zenon_H16a zenon_H288 zenon_H192 zenon_H6f zenon_H173 zenon_H179 zenon_H13b zenon_Hbc zenon_H18a zenon_H7d zenon_H212 zenon_H1c3 zenon_H189 zenon_H183 zenon_Ha0 zenon_H1b4 zenon_H156 zenon_H1a8 zenon_H163 zenon_Hb9 zenon_H195 zenon_H3d zenon_Hbb zenon_Hb6 zenon_H1bf zenon_H5c zenon_H186 zenon_H77 zenon_H201 zenon_H38 zenon_H68.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.12/22.27 apply (zenon_L1620_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.12/22.27 apply (zenon_L214_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.12/22.27 apply (zenon_L1382_); trivial.
% 22.12/22.27 apply (zenon_L165_); trivial.
% 22.12/22.27 (* end of lemma zenon_L1621_ *)
% 22.12/22.27 assert (zenon_L1622_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 22.12/22.27 do 0 intro. intros zenon_He4 zenon_H6e zenon_H234 zenon_H1bb zenon_H129 zenon_H5c zenon_H20f zenon_H38 zenon_H1b4 zenon_H283 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H77 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H8b zenon_H7b zenon_H7d zenon_H7e.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.12/22.27 apply (zenon_L214_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.12/22.27 apply (zenon_L484_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.12/22.27 apply (zenon_L1357_); trivial.
% 22.12/22.27 apply (zenon_L31_); trivial.
% 22.12/22.27 (* end of lemma zenon_L1622_ *)
% 22.12/22.27 assert (zenon_L1623_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (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 (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.12/22.27 do 0 intro. intros zenon_H1fe zenon_H125 zenon_H191 zenon_H13f zenon_H33 zenon_H121 zenon_H201 zenon_H177 zenon_H7d zenon_H7b zenon_H8b zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H38 zenon_H20f zenon_H129 zenon_H1bb zenon_H234 zenon_H1d8 zenon_He4 zenon_H1a8 zenon_H141 zenon_H164 zenon_Hfa zenon_H1d5 zenon_Hf0 zenon_H288 zenon_H192 zenon_H179 zenon_H13b zenon_Hbc zenon_H212 zenon_H183 zenon_Hbb zenon_H24 zenon_H9f zenon_H22d zenon_H89 zenon_H1bf zenon_H92 zenon_Hb9 zenon_H18a zenon_Hc4 zenon_H82 zenon_H5c zenon_Hf5.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.12/22.27 apply (zenon_L41_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.12/22.27 apply (zenon_L253_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.12/22.27 apply (zenon_L253_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.12/22.27 apply (zenon_L25_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.12/22.27 apply (zenon_L1621_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.27 apply (zenon_L171_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.27 apply (zenon_L1373_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.27 apply (zenon_L116_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.27 apply (zenon_L1379_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.27 apply (zenon_L436_); trivial.
% 22.12/22.27 apply (zenon_L172_); trivial.
% 22.12/22.27 apply (zenon_L206_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.12/22.27 apply (zenon_L1622_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.12/22.27 apply (zenon_L651_); trivial.
% 22.12/22.27 apply (zenon_L165_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.12/22.27 apply (zenon_L1284_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.12/22.27 apply (zenon_L17_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.12/22.27 apply (zenon_L1620_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.12/22.27 apply (zenon_L1381_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.12/22.27 apply (zenon_L94_); trivial.
% 22.12/22.27 apply (zenon_L165_); trivial.
% 22.12/22.27 apply (zenon_L1616_); trivial.
% 22.12/22.27 apply (zenon_L246_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.12/22.27 apply (zenon_L644_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.12/22.27 apply (zenon_L253_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.12/22.27 apply (zenon_L1363_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.12/22.27 apply (zenon_L17_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.12/22.27 apply (zenon_L1621_); trivial.
% 22.12/22.27 apply (zenon_L456_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.12/22.27 apply (zenon_L1284_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.12/22.27 apply (zenon_L17_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.12/22.27 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.12/22.27 apply (zenon_L738_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.12/22.27 apply (zenon_L484_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.12/22.27 apply (zenon_L998_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.27 apply (zenon_L1367_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.27 apply (zenon_L1373_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.27 apply (zenon_L1374_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.27 apply (zenon_L100_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.27 apply (zenon_L900_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.27 apply (zenon_L1377_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.27 apply (zenon_L436_); trivial.
% 22.12/22.27 apply (zenon_L1393_); trivial.
% 22.12/22.27 apply (zenon_L169_); trivial.
% 22.12/22.27 apply (zenon_L206_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.12/22.27 apply (zenon_L1370_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.12/22.27 apply (zenon_L94_); trivial.
% 22.12/22.27 apply (zenon_L165_); trivial.
% 22.12/22.27 apply (zenon_L1616_); trivial.
% 22.12/22.27 apply (zenon_L192_); trivial.
% 22.12/22.27 (* end of lemma zenon_L1623_ *)
% 22.12/22.27 assert (zenon_L1624_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 22.12/22.27 do 0 intro. intros zenon_He4 zenon_H1d8 zenon_H153 zenon_H234 zenon_H5c zenon_H191 zenon_H8b zenon_H190 zenon_H13d zenon_H13e zenon_H7d zenon_H7e.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.12/22.27 apply (zenon_L738_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.12/22.27 apply (zenon_L484_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.12/22.27 apply (zenon_L144_); trivial.
% 22.12/22.27 apply (zenon_L31_); trivial.
% 22.12/22.27 (* end of lemma zenon_L1624_ *)
% 22.12/22.27 assert (zenon_L1625_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (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 (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 22.12/22.27 do 0 intro. intros zenon_H82 zenon_H1bb zenon_H129 zenon_H20f zenon_H38 zenon_H1b4 zenon_H283 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H55 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H77 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H1ba zenon_He4 zenon_H1d8 zenon_H153 zenon_H234 zenon_H5c zenon_H191 zenon_H8b zenon_H190 zenon_H13d zenon_H13e zenon_H7d.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.12/22.27 apply (zenon_L1284_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.12/22.27 apply (zenon_L17_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.12/22.27 apply (zenon_L1356_); trivial.
% 22.12/22.27 apply (zenon_L1624_); trivial.
% 22.12/22.27 (* end of lemma zenon_L1625_ *)
% 22.12/22.27 assert (zenon_L1626_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.12/22.27 do 0 intro. intros zenon_H1fe zenon_H140 zenon_Hc4 zenon_H9f zenon_Hbb zenon_H177 zenon_H7d zenon_H13e zenon_H13d zenon_H190 zenon_H8b zenon_H191 zenon_H5c zenon_H234 zenon_H1d8 zenon_He4 zenon_H1ba zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H55 zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H82 zenon_H38 zenon_H48.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.12/22.27 apply (zenon_L41_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.12/22.27 apply (zenon_L1385_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.12/22.27 apply (zenon_L1360_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.12/22.27 apply (zenon_L253_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.12/22.27 apply (zenon_L1364_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.12/22.27 apply (zenon_L1625_); trivial.
% 22.12/22.27 apply (zenon_L246_); trivial.
% 22.12/22.27 (* end of lemma zenon_L1626_ *)
% 22.12/22.27 assert (zenon_L1627_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 22.12/22.27 do 0 intro. intros zenon_Hb2 zenon_H24e zenon_H1f1 zenon_H23c zenon_H26a zenon_H104 zenon_H231 zenon_H2c zenon_H109 zenon_H11a zenon_H1c2 zenon_H1cd zenon_H111 zenon_He2 zenon_H12e zenon_H100 zenon_H22d zenon_H191 zenon_H125 zenon_H141 zenon_H201 zenon_H164 zenon_H212 zenon_Hbc zenon_H179 zenon_H288 zenon_H192 zenon_H183 zenon_H18a zenon_Hfa zenon_H13b zenon_H1a8 zenon_H24 zenon_H121 zenon_H33 zenon_Hf0 zenon_H1d5 zenon_H1fe zenon_H82 zenon_H177 zenon_H1d8 zenon_H234 zenon_H7d zenon_He4 zenon_Hc4 zenon_H26d zenon_H38 zenon_H4e zenon_H13f zenon_H77 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H5c zenon_H129 zenon_H1bb zenon_H140 zenon_H9f zenon_Ha0.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.12/22.27 apply (zenon_L2_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.12/22.27 apply (zenon_L1146_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.12/22.27 apply (zenon_L1147_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.12/22.27 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.12/22.27 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.12/22.27 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.12/22.27 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.12/22.27 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.12/22.27 apply (zenon_L1442_); trivial.
% 22.12/22.27 apply (zenon_L1556_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.12/22.27 apply (zenon_L1206_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.12/22.27 apply (zenon_L11_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.12/22.27 apply (zenon_L1207_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.12/22.27 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 22.12/22.27 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 22.12/22.27 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.12/22.27 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.12/22.27 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.12/22.27 apply (zenon_L1567_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.12/22.27 apply (zenon_L1569_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.12/22.27 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 22.12/22.27 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 22.12/22.27 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.12/22.27 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.12/22.27 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.12/22.27 exact (zenon_Hec zenon_H5c).
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.27 apply (zenon_L900_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.27 exact (zenon_H159 zenon_H10c).
% 22.12/22.27 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.27 apply (zenon_L436_); trivial.
% 22.12/22.27 apply (zenon_L1397_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.12/22.27 apply (zenon_L37_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.12/22.27 apply (zenon_L1352_); trivial.
% 22.12/22.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.12/22.28 apply (zenon_L1353_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.12/22.28 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.12/22.28 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.12/22.28 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.12/22.28 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.12/22.28 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.12/22.28 apply (zenon_L1593_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.12/22.28 apply (zenon_L1615_); trivial.
% 22.12/22.28 apply (zenon_L1615_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.12/22.28 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.12/22.28 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.12/22.28 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.12/22.28 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.12/22.28 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.12/22.28 apply (zenon_L1618_); trivial.
% 22.12/22.28 apply (zenon_L1618_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.12/22.28 apply (zenon_L1623_); trivial.
% 22.12/22.28 apply (zenon_L1623_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.12/22.28 apply (zenon_L1626_); trivial.
% 22.12/22.28 apply (zenon_L1626_); trivial.
% 22.12/22.28 apply (zenon_L1389_); trivial.
% 22.12/22.28 apply (zenon_L51_); trivial.
% 22.12/22.28 (* end of lemma zenon_L1627_ *)
% 22.12/22.28 assert (zenon_L1628_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.12/22.28 do 0 intro. intros zenon_H1c6 zenon_H159 zenon_H38 zenon_H196 zenon_H201 zenon_H6f zenon_H183 zenon_H68 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H181 zenon_H1d8 zenon_H13a zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H1c3 zenon_Ha0 zenon_Hf5 zenon_H288 zenon_H11a zenon_H3f zenon_H191 zenon_H171 zenon_He7 zenon_H163 zenon_H192 zenon_H3d zenon_H34 zenon_H12e zenon_H48 zenon_H1a2 zenon_Ha9 zenon_H66 zenon_H186 zenon_Ha5 zenon_H190 zenon_Hb6 zenon_H54 zenon_H141 zenon_H1c7.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.28 apply (zenon_L55_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.28 exact (zenon_H159 zenon_H10c).
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.28 apply (zenon_L217_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.28 apply (zenon_L152_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.28 apply (zenon_L1535_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.28 apply (zenon_L965_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.28 apply (zenon_L255_); trivial.
% 22.12/22.28 apply (zenon_L512_); trivial.
% 22.12/22.28 apply (zenon_L1162_); trivial.
% 22.12/22.28 exact (zenon_H1c7 zenon_Hac).
% 22.12/22.28 (* end of lemma zenon_L1628_ *)
% 22.12/22.28 assert (zenon_L1629_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 22.12/22.28 do 0 intro. intros zenon_Hfa zenon_H77 zenon_H6e zenon_H173 zenon_H68 zenon_H13c zenon_Hb6 zenon_H3c zenon_H159 zenon_Ha0 zenon_Hf3 zenon_Ha9.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.28 apply (zenon_L24_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.28 apply (zenon_L226_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.28 apply (zenon_L62_); trivial.
% 22.12/22.28 apply (zenon_L1447_); trivial.
% 22.12/22.28 (* end of lemma zenon_L1629_ *)
% 22.12/22.28 assert (zenon_L1630_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.12/22.28 do 0 intro. intros zenon_H1c6 zenon_H6e zenon_H159 zenon_H6f zenon_H183 zenon_H68 zenon_H192 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H181 zenon_H153 zenon_H1d8 zenon_H13a zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha9 zenon_H1c3 zenon_Ha0 zenon_Hb6 zenon_Ha5 zenon_Hf5 zenon_H288 zenon_H11a zenon_H3f zenon_H48 zenon_H12e zenon_H191 zenon_H186 zenon_H1a2 zenon_H1c7.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.28 apply (zenon_L110_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.28 exact (zenon_H159 zenon_H10c).
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.28 apply (zenon_L1535_); trivial.
% 22.12/22.28 exact (zenon_H1c7 zenon_Hac).
% 22.12/22.28 (* end of lemma zenon_L1630_ *)
% 22.12/22.28 assert (zenon_L1631_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (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) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.12/22.28 do 0 intro. intros zenon_Heb zenon_H173 zenon_Hfa zenon_H1c7 zenon_H1a2 zenon_H186 zenon_H191 zenon_H12e zenon_H11a zenon_H288 zenon_Hf5 zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H196 zenon_H1fb zenon_H25e zenon_H13a zenon_H1d8 zenon_H153 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H192 zenon_H183 zenon_H6f zenon_H159 zenon_H6e zenon_H1c6 zenon_H24 zenon_H9f zenon_H13c zenon_Hf3 zenon_H48 zenon_H1c3 zenon_H68 zenon_H77 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H181.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.12/22.28 apply (zenon_L1629_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.28 apply (zenon_L900_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.28 exact (zenon_H159 zenon_H10c).
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.28 apply (zenon_L162_); trivial.
% 22.12/22.28 apply (zenon_L1630_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.12/22.28 apply (zenon_L117_); trivial.
% 22.12/22.28 apply (zenon_L414_); trivial.
% 22.12/22.28 (* end of lemma zenon_L1631_ *)
% 22.12/22.28 assert (zenon_L1632_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.12/22.28 do 0 intro. intros zenon_H139 zenon_H2c zenon_Ha0 zenon_Ha9 zenon_H3d zenon_Hb6 zenon_H141 zenon_He7 zenon_Hf0 zenon_H1cb zenon_H3c zenon_H5d zenon_H48 zenon_H18d zenon_H121 zenon_H33 zenon_H1c7 zenon_H104 zenon_Hc4 zenon_H1a2 zenon_H181 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H1d8 zenon_H34 zenon_H18a zenon_H65 zenon_H1ef zenon_H186 zenon_H13a zenon_H6f zenon_H109 zenon_H117 zenon_H1b7 zenon_H1f1 zenon_H13f zenon_H201 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H1c3 zenon_H190 zenon_H196 zenon_H38 zenon_H68.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.12/22.28 apply (zenon_L180_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.12/22.28 apply (zenon_L214_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.12/22.28 apply (zenon_L1506_); trivial.
% 22.12/22.28 apply (zenon_L165_); trivial.
% 22.12/22.28 (* end of lemma zenon_L1632_ *)
% 22.12/22.28 assert (zenon_L1633_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.12/22.28 do 0 intro. intros zenon_H183 zenon_H34 zenon_H1b7 zenon_H77 zenon_H128 zenon_Ha9 zenon_Ha5 zenon_H38 zenon_H68 zenon_H1c3 zenon_H72 zenon_H163 zenon_H181.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.12/22.28 apply (zenon_L291_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.12/22.28 apply (zenon_L1444_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.12/22.28 apply (zenon_L227_); trivial.
% 22.12/22.28 exact (zenon_H181 zenon_H17c).
% 22.12/22.28 (* end of lemma zenon_L1633_ *)
% 22.12/22.28 assert (zenon_L1634_ : (((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)) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.12/22.28 do 0 intro. intros zenon_H13f zenon_H65 zenon_Hb6 zenon_H10d zenon_H48 zenon_H14c zenon_H183 zenon_H34 zenon_H1b7 zenon_H77 zenon_Ha9 zenon_Ha5 zenon_H38 zenon_H68 zenon_H1c3 zenon_H72 zenon_H163 zenon_H181.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.12/22.28 apply (zenon_L30_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.12/22.28 apply (zenon_L113_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.12/22.28 apply (zenon_L255_); trivial.
% 22.12/22.28 apply (zenon_L1633_); trivial.
% 22.12/22.28 (* end of lemma zenon_L1634_ *)
% 22.12/22.28 assert (zenon_L1635_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.12/22.28 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H16a zenon_H54 zenon_H1cf zenon_H104 zenon_H38 zenon_H20f zenon_H129 zenon_H18d zenon_Hc4 zenon_H1cb zenon_H18a zenon_H1bb zenon_H1c6 zenon_H6e zenon_H159 zenon_H6f zenon_H183 zenon_H68 zenon_H192 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H181 zenon_H153 zenon_H1d8 zenon_H13a zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha9 zenon_H1c3 zenon_Ha0 zenon_Hb6 zenon_Hf5 zenon_H288 zenon_H11a zenon_H3f zenon_H48 zenon_H12e zenon_H191 zenon_H186 zenon_H1a2 zenon_H1c7.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.28 apply (zenon_L900_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.28 exact (zenon_H159 zenon_H10c).
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.28 apply (zenon_L110_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.28 exact (zenon_H159 zenon_H10c).
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.28 apply (zenon_L30_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.28 apply (zenon_L289_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.28 apply (zenon_L1509_); trivial.
% 22.12/22.28 apply (zenon_L1511_); trivial.
% 22.12/22.28 exact (zenon_H1c7 zenon_Hac).
% 22.12/22.28 apply (zenon_L1630_); trivial.
% 22.12/22.28 (* end of lemma zenon_L1635_ *)
% 22.12/22.28 assert (zenon_L1636_ : ((op (e1) (e0)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 22.12/22.28 do 0 intro. intros zenon_H76 zenon_H1c7 zenon_H181 zenon_H34 zenon_H159 zenon_H6e zenon_H54 zenon_H153 zenon_Hb2 zenon_H24e zenon_H1f1 zenon_H23c zenon_H26a zenon_H104 zenon_H231 zenon_H2c zenon_H109 zenon_H11a zenon_H1c2 zenon_H1cd zenon_H111 zenon_He2 zenon_H12e zenon_H100 zenon_H22d zenon_H191 zenon_H125 zenon_H141 zenon_H201 zenon_H164 zenon_H212 zenon_Hbc zenon_H179 zenon_H288 zenon_H192 zenon_H183 zenon_H18a zenon_Hfa zenon_H13b zenon_H1a8 zenon_H24 zenon_H121 zenon_H33 zenon_Hf0 zenon_H1d5 zenon_H1fe zenon_H82 zenon_H177 zenon_H1d8 zenon_H234 zenon_H7d zenon_He4 zenon_Hc4 zenon_H26d zenon_H38 zenon_H4e zenon_H13f zenon_H77 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H140 zenon_H9f zenon_Ha0.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.12/22.28 apply (zenon_L24_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.12/22.28 apply (zenon_L1635_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.12/22.28 apply (zenon_L184_); trivial.
% 22.12/22.28 apply (zenon_L1627_); trivial.
% 22.12/22.28 (* end of lemma zenon_L1636_ *)
% 22.12/22.28 assert (zenon_L1637_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.12/22.28 do 0 intro. intros zenon_H1c6 zenon_H38 zenon_H117 zenon_H54 zenon_H195 zenon_Hf0 zenon_He7 zenon_H109 zenon_H141 zenon_H159 zenon_H6f zenon_H183 zenon_H68 zenon_H192 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H181 zenon_H153 zenon_H1d8 zenon_H13a zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha9 zenon_H1c3 zenon_Ha0 zenon_Hb6 zenon_Ha5 zenon_Hf5 zenon_H288 zenon_H11a zenon_H3f zenon_H48 zenon_H12e zenon_H191 zenon_H186 zenon_H1a2 zenon_H1c7.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.28 apply (zenon_L1534_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.28 exact (zenon_H159 zenon_H10c).
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.28 apply (zenon_L1535_); trivial.
% 22.12/22.28 exact (zenon_H1c7 zenon_Hac).
% 22.12/22.28 (* end of lemma zenon_L1637_ *)
% 22.12/22.28 assert (zenon_L1638_ : (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (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) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.12/22.28 do 0 intro. intros zenon_H1cb zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H133 zenon_Hb6 zenon_H179 zenon_H1c2 zenon_H13b zenon_H34 zenon_H7d zenon_H100 zenon_H1a8 zenon_H1c7 zenon_H9f zenon_H24 zenon_H159 zenon_H1d5 zenon_H67 zenon_H54 zenon_H1cd zenon_Hfa zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H195 zenon_H189 zenon_H27e zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H16a zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H2c zenon_H109 zenon_H23c zenon_He4 zenon_Hbc zenon_H18a zenon_H104 zenon_H231 zenon_H36 zenon_H12e zenon_H11a zenon_H288 zenon_H1d8 zenon_H24e zenon_H192 zenon_H183 zenon_H141 zenon_H111 zenon_H13f zenon_Hf0 zenon_H181 zenon_He2 zenon_Hf5 zenon_H201 zenon_H153 zenon_H177 zenon_He7 zenon_H171 zenon_H196 zenon_H38.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.28 apply (zenon_L359_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.28 apply (zenon_L929_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.28 apply (zenon_L180_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.28 apply (zenon_L1482_); trivial.
% 22.12/22.28 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.28 apply (zenon_L1495_); trivial.
% 22.12/22.28 apply (zenon_L1531_); trivial.
% 22.12/22.28 apply (zenon_L1162_); trivial.
% 22.12/22.28 (* end of lemma zenon_L1638_ *)
% 22.12/22.28 assert (zenon_L1639_ : ((op (e3) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (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) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H171 zenon_H177 zenon_H201 zenon_He2 zenon_H13f zenon_H111 zenon_H36 zenon_H231 zenon_H104 zenon_H18a zenon_Hbc zenon_He4 zenon_H23c zenon_H2c zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H16a zenon_H25b zenon_H27e zenon_H189 zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H284 zenon_Hfa zenon_H67 zenon_H1d5 zenon_H24 zenon_H9f zenon_H1a8 zenon_H100 zenon_H13b zenon_H1c2 zenon_H179 zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1bb zenon_H1cb zenon_H1c6 zenon_H38 zenon_H117 zenon_H54 zenon_H195 zenon_Hf0 zenon_He7 zenon_H109 zenon_H141 zenon_H159 zenon_H6f zenon_H183 zenon_H68 zenon_H192 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H181 zenon_H153 zenon_H1d8 zenon_H13a zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha9 zenon_H1c3 zenon_Ha0 zenon_Hb6 zenon_Hf5 zenon_H288 zenon_H11a zenon_H3f zenon_H48 zenon_H12e zenon_H191 zenon_H186 zenon_H1a2 zenon_H1c7.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.29 apply (zenon_L900_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.29 exact (zenon_H159 zenon_H10c).
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.29 apply (zenon_L1638_); trivial.
% 22.12/22.29 apply (zenon_L1637_); trivial.
% 22.12/22.29 (* end of lemma zenon_L1639_ *)
% 22.12/22.29 assert (zenon_L1640_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (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) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_Heb zenon_H100 zenon_H1c7 zenon_H1a2 zenon_H186 zenon_H191 zenon_H12e zenon_H48 zenon_H11a zenon_H288 zenon_Hf5 zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H196 zenon_H1fb zenon_H25e zenon_H13a zenon_H1d8 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H192 zenon_H183 zenon_H6f zenon_H159 zenon_H6e zenon_H1c6 zenon_H18a zenon_H1cb zenon_H18d zenon_H104 zenon_H1cf zenon_H54 zenon_H16a zenon_H24 zenon_H9f zenon_H13c zenon_H73 zenon_H153 zenon_H1c3 zenon_H68 zenon_H77 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H181.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.12/22.29 apply (zenon_L69_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.12/22.29 apply (zenon_L1635_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.12/22.29 apply (zenon_L184_); trivial.
% 22.12/22.29 apply (zenon_L414_); trivial.
% 22.12/22.29 (* end of lemma zenon_L1640_ *)
% 22.12/22.29 assert (zenon_L1641_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((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)) = (e0)) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H141 zenon_H54 zenon_He7 zenon_Hf0 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H1bb zenon_H18a zenon_H1cb zenon_Hc4 zenon_H11a zenon_H3f zenon_H48 zenon_H12e zenon_H6d zenon_H190 zenon_H186 zenon_Hf7 zenon_H201 zenon_H159 zenon_H24 zenon_H9f zenon_H13c zenon_H121 zenon_H209 zenon_H20f zenon_H77 zenon_Ha9 zenon_H68 zenon_H183 zenon_Hb6 zenon_H1cf zenon_H196 zenon_H38.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.29 apply (zenon_L217_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.29 apply (zenon_L929_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.12/22.29 apply (zenon_L1457_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.12/22.29 apply (zenon_L438_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.12/22.29 apply (zenon_L366_); trivial.
% 22.12/22.29 apply (zenon_L1480_); trivial.
% 22.12/22.29 apply (zenon_L1162_); trivial.
% 22.12/22.29 (* end of lemma zenon_L1641_ *)
% 22.12/22.29 assert (zenon_L1642_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (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) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_Hfa zenon_H1c7 zenon_H1a2 zenon_H186 zenon_H191 zenon_H12e zenon_H48 zenon_H11a zenon_H288 zenon_Hf5 zenon_Hb6 zenon_H1c3 zenon_H196 zenon_H1b4 zenon_H1fb zenon_H25e zenon_H13a zenon_H1d8 zenon_H153 zenon_H181 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H192 zenon_H183 zenon_H6f zenon_H141 zenon_H4e zenon_H67 zenon_H1d5 zenon_H1cf zenon_H1c6 zenon_H1a8 zenon_H195 zenon_H54 zenon_H117 zenon_H38 zenon_H77 zenon_H3f zenon_H68 zenon_H13c zenon_H9f zenon_H24 zenon_H159 zenon_Ha0 zenon_Hf3 zenon_Ha9.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.29 apply (zenon_L900_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.29 exact (zenon_H159 zenon_H10c).
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.29 apply (zenon_L162_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.29 apply (zenon_L1467_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.29 exact (zenon_H159 zenon_H10c).
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.29 apply (zenon_L1535_); trivial.
% 22.12/22.29 exact (zenon_H1c7 zenon_Hac).
% 22.12/22.29 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.29 apply (zenon_L186_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.29 apply (zenon_L62_); trivial.
% 22.12/22.29 apply (zenon_L1468_); trivial.
% 22.12/22.29 (* end of lemma zenon_L1642_ *)
% 22.12/22.29 assert (zenon_L1643_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H12e zenon_H48 zenon_H212 zenon_H1cb zenon_H1cd zenon_Hbc zenon_H231 zenon_H18a zenon_H7d zenon_H104 zenon_H14c zenon_H1c2 zenon_H8a zenon_H121 zenon_H33 zenon_H9f zenon_H20f zenon_H77 zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_H1a3 zenon_Hc4 zenon_H38 zenon_H1c3 zenon_H120.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.12/22.29 apply (zenon_L456_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.12/22.29 apply (zenon_L1168_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.12/22.29 apply (zenon_L1158_); trivial.
% 22.12/22.29 exact (zenon_H120 zenon_H11f).
% 22.12/22.29 (* end of lemma zenon_L1643_ *)
% 22.12/22.29 assert (zenon_L1644_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H16a zenon_H2c zenon_H67 zenon_H195 zenon_Ha5 zenon_Ha0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H1c3 zenon_H1a3 zenon_H183 zenon_H68 zenon_H34 zenon_Ha9 zenon_H9f zenon_H33 zenon_H121 zenon_H1c2 zenon_H14c zenon_H104 zenon_H7d zenon_H18a zenon_H231 zenon_Hbc zenon_H1cd zenon_H1cb zenon_H212 zenon_H12e zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H120.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.29 apply (zenon_L180_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.29 apply (zenon_L1090_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.29 apply (zenon_L1643_); trivial.
% 22.12/22.29 apply (zenon_L555_); trivial.
% 22.12/22.29 (* end of lemma zenon_L1644_ *)
% 22.12/22.29 assert (zenon_L1645_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H18d zenon_H48 zenon_H38 zenon_H234 zenon_H3f zenon_Hb9 zenon_Hb6 zenon_H120.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.12/22.29 apply (zenon_L246_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.12/22.29 apply (zenon_L484_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.12/22.29 apply (zenon_L182_); trivial.
% 22.12/22.29 exact (zenon_H120 zenon_H11f).
% 22.12/22.29 (* end of lemma zenon_L1645_ *)
% 22.12/22.29 assert (zenon_L1646_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H117 zenon_H54 zenon_Ha9 zenon_H6d zenon_H14c zenon_Ha0 zenon_H18d zenon_H48 zenon_H38 zenon_H234 zenon_H3f zenon_Hb6 zenon_H120.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.12/22.29 apply (zenon_L151_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.12/22.29 apply (zenon_L289_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.12/22.29 apply (zenon_L278_); trivial.
% 22.12/22.29 apply (zenon_L1645_); trivial.
% 22.12/22.29 (* end of lemma zenon_L1646_ *)
% 22.12/22.29 assert (zenon_L1647_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H141 zenon_H68 zenon_H120 zenon_Hb6 zenon_H3f zenon_H234 zenon_H48 zenon_H18d zenon_Ha0 zenon_H6d zenon_Ha9 zenon_H54 zenon_H117 zenon_H196 zenon_H38.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.29 apply (zenon_L217_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.29 apply (zenon_L54_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.29 apply (zenon_L1646_); trivial.
% 22.12/22.29 apply (zenon_L1162_); trivial.
% 22.12/22.29 (* end of lemma zenon_L1647_ *)
% 22.12/22.29 assert (zenon_L1648_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H12e zenon_H48 zenon_H34 zenon_H3f zenon_H11a zenon_H153 zenon_H177 zenon_H120.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.12/22.29 apply (zenon_L456_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.12/22.29 apply (zenon_L552_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.12/22.29 apply (zenon_L566_); trivial.
% 22.12/22.29 exact (zenon_H120 zenon_H11f).
% 22.12/22.29 (* end of lemma zenon_L1648_ *)
% 22.12/22.29 assert (zenon_L1649_ : ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H54 zenon_H120 zenon_H34 zenon_H153 zenon_Hb2 zenon_H24e zenon_H1f1 zenon_H23c zenon_H26a zenon_H104 zenon_H231 zenon_H2c zenon_H109 zenon_H11a zenon_H1c2 zenon_H1cd zenon_H111 zenon_He2 zenon_H12e zenon_H100 zenon_H22d zenon_H191 zenon_H125 zenon_H141 zenon_H201 zenon_H164 zenon_H212 zenon_Hbc zenon_H179 zenon_H288 zenon_H192 zenon_H183 zenon_H18a zenon_Hfa zenon_H13b zenon_H1a8 zenon_H24 zenon_H121 zenon_H33 zenon_Hf0 zenon_H1d5 zenon_H1fe zenon_H82 zenon_H177 zenon_H1d8 zenon_H234 zenon_H7d zenon_He4 zenon_Hc4 zenon_H26d zenon_H38 zenon_H4e zenon_H13f zenon_H77 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H140 zenon_H9f zenon_Ha0.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.12/22.29 apply (zenon_L69_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.12/22.29 apply (zenon_L1648_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.12/22.29 apply (zenon_L184_); trivial.
% 22.12/22.29 apply (zenon_L1627_); trivial.
% 22.12/22.29 (* end of lemma zenon_L1649_ *)
% 22.12/22.29 assert (zenon_L1650_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H12e zenon_H48 zenon_H34 zenon_H3d zenon_H192 zenon_H105 zenon_H104 zenon_H120.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.12/22.29 apply (zenon_L456_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.12/22.29 apply (zenon_L146_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.12/22.29 apply (zenon_L72_); trivial.
% 22.12/22.29 exact (zenon_H120 zenon_H11f).
% 22.12/22.29 (* end of lemma zenon_L1650_ *)
% 22.12/22.29 assert (zenon_L1651_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H1c3 zenon_H38 zenon_Hc4 zenon_H1a3 zenon_H183 zenon_H68 zenon_H34 zenon_Ha9 zenon_H106 zenon_H20f zenon_H9f zenon_H33 zenon_H121 zenon_H128 zenon_H77 zenon_H171 zenon_H1b7.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 22.12/22.29 apply (zenon_L165_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 22.12/22.29 apply (zenon_L1154_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 22.12/22.29 apply (zenon_L218_); trivial.
% 22.12/22.29 apply (zenon_L188_); trivial.
% 22.12/22.29 (* end of lemma zenon_L1651_ *)
% 22.12/22.29 assert (zenon_L1652_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H18d zenon_H48 zenon_H234 zenon_H3f zenon_H1b7 zenon_H171 zenon_H77 zenon_H121 zenon_H33 zenon_H9f zenon_H20f zenon_H106 zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_H1a3 zenon_Hc4 zenon_H38 zenon_H1c3 zenon_H120.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.12/22.29 apply (zenon_L246_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.12/22.29 apply (zenon_L484_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.12/22.29 apply (zenon_L1651_); trivial.
% 22.12/22.29 exact (zenon_H120 zenon_H11f).
% 22.12/22.29 (* end of lemma zenon_L1652_ *)
% 22.12/22.29 assert (zenon_L1653_ : (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_Ha0 zenon_H140 zenon_H1bb zenon_H129 zenon_H1b4 zenon_H283 zenon_H1cf zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H13f zenon_H4e zenon_H26d zenon_He4 zenon_H7d zenon_H1d8 zenon_H177 zenon_H82 zenon_H1fe zenon_H1d5 zenon_Hf0 zenon_H24 zenon_H1a8 zenon_H13b zenon_Hfa zenon_H18a zenon_H288 zenon_H179 zenon_Hbc zenon_H212 zenon_H164 zenon_H201 zenon_H141 zenon_H125 zenon_H191 zenon_H22d zenon_H100 zenon_He2 zenon_H111 zenon_H1cd zenon_H1c2 zenon_H11a zenon_H109 zenon_H2c zenon_H231 zenon_H26a zenon_H23c zenon_H1f1 zenon_H24e zenon_Hb2 zenon_H54 zenon_He7 zenon_H163 zenon_H104 zenon_H192 zenon_H3d zenon_H12e zenon_H18d zenon_H48 zenon_H234 zenon_H3f zenon_H1b7 zenon_H77 zenon_H121 zenon_H33 zenon_H9f zenon_H20f zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_H1a3 zenon_Hc4 zenon_H38 zenon_H1c3 zenon_H120.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.29 apply (zenon_L214_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.29 apply (zenon_L186_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.29 apply (zenon_L1647_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.12/22.29 apply (zenon_L1649_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.12/22.29 apply (zenon_L965_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.12/22.29 apply (zenon_L1650_); trivial.
% 22.12/22.29 apply (zenon_L1652_); trivial.
% 22.12/22.29 (* end of lemma zenon_L1653_ *)
% 22.12/22.29 assert (zenon_L1654_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H13c zenon_H24 zenon_H159 zenon_H4d zenon_H141 zenon_He7 zenon_Hf0 zenon_H120 zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H12e zenon_H212 zenon_H1cb zenon_H1cd zenon_Hbc zenon_H231 zenon_H18a zenon_H7d zenon_H104 zenon_H1c2 zenon_H121 zenon_H33 zenon_H9f zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_H1a3 zenon_H1c3 zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha0 zenon_H195 zenon_H67 zenon_H2c zenon_H16a zenon_H196 zenon_H38.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.29 apply (zenon_L900_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.29 exact (zenon_H159 zenon_H10c).
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.29 apply (zenon_L124_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.29 apply (zenon_L217_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.29 apply (zenon_L929_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.29 apply (zenon_L1644_); trivial.
% 22.12/22.29 apply (zenon_L1162_); trivial.
% 22.12/22.29 (* end of lemma zenon_L1654_ *)
% 22.12/22.29 assert (zenon_L1655_ : (((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) (e3)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H26a zenon_Ha0 zenon_H38 zenon_H5d zenon_Ha6 zenon_H128 zenon_Hb6 zenon_Hc4.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H9e | zenon_intro zenon_H26b ].
% 22.12/22.29 apply (zenon_L156_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H26c ].
% 22.12/22.29 apply (zenon_L42_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc3 ].
% 22.12/22.29 apply (zenon_L182_); trivial.
% 22.12/22.29 exact (zenon_Hc4 zenon_Hc3).
% 22.12/22.29 (* end of lemma zenon_L1655_ *)
% 22.12/22.29 assert (zenon_L1656_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (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))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H18d zenon_H48 zenon_H234 zenon_H3f zenon_Hc4 zenon_Hb6 zenon_Ha6 zenon_H5d zenon_H38 zenon_Ha0 zenon_H26a zenon_H120.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.12/22.29 apply (zenon_L246_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.12/22.29 apply (zenon_L484_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.12/22.29 apply (zenon_L1655_); trivial.
% 22.12/22.29 exact (zenon_H120 zenon_H11f).
% 22.12/22.29 (* end of lemma zenon_L1656_ *)
% 22.12/22.29 assert (zenon_L1657_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H18d zenon_H48 zenon_H234 zenon_H3f zenon_H1b7 zenon_H171 zenon_H77 zenon_Ha9 zenon_Ha5 zenon_H38 zenon_H68 zenon_H1c3 zenon_H120.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.12/22.29 apply (zenon_L246_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.12/22.29 apply (zenon_L484_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.12/22.29 apply (zenon_L1444_); trivial.
% 22.12/22.29 exact (zenon_H120 zenon_H11f).
% 22.12/22.29 (* end of lemma zenon_L1657_ *)
% 22.12/22.29 assert (zenon_L1658_ : (((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 (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.12/22.29 do 0 intro. intros zenon_H13c zenon_H26a zenon_H5d zenon_Hc4 zenon_Hb6 zenon_Ha0 zenon_Hf3 zenon_H18d zenon_H48 zenon_H234 zenon_H3f zenon_H1b7 zenon_H171 zenon_H77 zenon_Ha9 zenon_H38 zenon_H68 zenon_H1c3 zenon_H120.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.29 apply (zenon_L1656_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.29 apply (zenon_L216_); trivial.
% 22.12/22.29 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.29 apply (zenon_L162_); trivial.
% 22.12/22.29 apply (zenon_L1657_); trivial.
% 22.12/22.29 (* end of lemma zenon_L1658_ *)
% 22.12/22.29 assert (zenon_L1659_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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 (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.12/22.30 do 0 intro. intros zenon_H1a8 zenon_H3d zenon_H196 zenon_H117 zenon_H54 zenon_H141 zenon_H13c zenon_H26a zenon_H5d zenon_Hc4 zenon_Hb6 zenon_Ha0 zenon_Hf3 zenon_H18d zenon_H48 zenon_H234 zenon_H3f zenon_H1b7 zenon_H77 zenon_Ha9 zenon_H38 zenon_H68 zenon_H1c3 zenon_H120.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.30 apply (zenon_L214_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.30 apply (zenon_L186_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.30 apply (zenon_L1647_); trivial.
% 22.12/22.30 apply (zenon_L1658_); trivial.
% 22.12/22.30 (* end of lemma zenon_L1659_ *)
% 22.12/22.30 assert (zenon_L1660_ : (~((op (e3) (e3)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 22.12/22.30 do 0 intro. intros zenon_H120 zenon_H54 zenon_H3d zenon_Hf3 zenon_Hb2 zenon_H24e zenon_H1f1 zenon_H23c zenon_H26a zenon_H104 zenon_H231 zenon_H2c zenon_H109 zenon_H11a zenon_H1c2 zenon_H1cd zenon_H111 zenon_He2 zenon_H12e zenon_H100 zenon_H22d zenon_H191 zenon_H125 zenon_H141 zenon_H201 zenon_H164 zenon_H212 zenon_Hbc zenon_H179 zenon_H288 zenon_H192 zenon_H183 zenon_H18a zenon_Hfa zenon_H13b zenon_H1a8 zenon_H24 zenon_H121 zenon_H33 zenon_Hf0 zenon_H1d5 zenon_H1fe zenon_H82 zenon_H177 zenon_H1d8 zenon_H234 zenon_H7d zenon_He4 zenon_Hc4 zenon_H26d zenon_H38 zenon_H4e zenon_H13f zenon_H77 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H140 zenon_H9f zenon_Ha0.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.12/22.30 apply (zenon_L69_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.12/22.30 apply (zenon_L1659_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.12/22.30 apply (zenon_L117_); trivial.
% 22.12/22.30 apply (zenon_L1627_); trivial.
% 22.12/22.30 (* end of lemma zenon_L1660_ *)
% 22.12/22.30 assert (zenon_L1661_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.12/22.30 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H159 zenon_H4d zenon_H141 zenon_H48 zenon_H68 zenon_H195 zenon_Ha0 zenon_H6d zenon_Ha9 zenon_H54 zenon_Hb6 zenon_H117 zenon_H196 zenon_H38.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.30 apply (zenon_L900_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.30 exact (zenon_H159 zenon_H10c).
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.30 apply (zenon_L124_); trivial.
% 22.12/22.30 apply (zenon_L1393_); trivial.
% 22.12/22.30 (* end of lemma zenon_L1661_ *)
% 22.12/22.30 assert (zenon_L1662_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e0)) -> False).
% 22.12/22.30 do 0 intro. intros zenon_H1a8 zenon_H77 zenon_H1cd zenon_H191 zenon_H66 zenon_H1a2 zenon_H186 zenon_H190 zenon_H1a3 zenon_H1c6 zenon_Hf0 zenon_H38 zenon_H196 zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha9 zenon_Ha0 zenon_H195 zenon_H68 zenon_H141 zenon_H159 zenon_H24 zenon_H9f zenon_H13c zenon_H12e zenon_H48 zenon_H34 zenon_H3d zenon_H192 zenon_H4d zenon_H163 zenon_He7.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.12/22.30 apply (zenon_L214_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.12/22.30 apply (zenon_L900_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.12/22.30 exact (zenon_H159 zenon_H10c).
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.12/22.30 apply (zenon_L1244_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.12/22.30 apply (zenon_L55_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.12/22.30 exact (zenon_H159 zenon_H10c).
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.12/22.30 apply (zenon_L1173_); trivial.
% 22.12/22.30 apply (zenon_L379_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.12/22.30 apply (zenon_L1661_); trivial.
% 22.12/22.30 apply (zenon_L965_); trivial.
% 22.12/22.30 (* end of lemma zenon_L1662_ *)
% 22.12/22.30 assert (zenon_L1663_ : ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.12/22.30 do 0 intro. intros zenon_H34 zenon_H77 zenon_H54 zenon_H1a3 zenon_H209 zenon_H159 zenon_Ha0 zenon_H9f zenon_H140 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H25b zenon_H186 zenon_H48 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H13f zenon_H4e zenon_H26d zenon_Hc4 zenon_He4 zenon_H7d zenon_H234 zenon_H1d8 zenon_H177 zenon_H82 zenon_H1fe zenon_H1d5 zenon_Hf0 zenon_H33 zenon_H121 zenon_H24 zenon_H1a8 zenon_H13b zenon_Hfa zenon_H18a zenon_H183 zenon_H192 zenon_H288 zenon_H179 zenon_Hbc zenon_H212 zenon_H164 zenon_H201 zenon_H141 zenon_H125 zenon_H191 zenon_H22d zenon_H100 zenon_H12e zenon_He2 zenon_H111 zenon_H1cd zenon_H1c2 zenon_H11a zenon_H109 zenon_H2c zenon_H231 zenon_H104 zenon_H26a zenon_H23c zenon_H1f1 zenon_H24e zenon_Hb2 zenon_H3d zenon_H120 zenon_Hf5 zenon_H38 zenon_H68.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.12/22.30 apply (zenon_L297_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.12/22.30 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.12/22.30 apply (zenon_L69_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.12/22.30 apply (zenon_L1653_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.12/22.30 apply (zenon_L1654_); trivial.
% 22.12/22.30 apply (zenon_L1436_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.12/22.30 apply (zenon_L1660_); trivial.
% 22.12/22.30 apply (zenon_L663_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.12/22.30 apply (zenon_L214_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.12/22.30 apply (zenon_L252_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.12/22.30 apply (zenon_L171_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.12/22.30 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.12/22.30 apply (zenon_L69_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.12/22.30 apply (zenon_L1653_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.12/22.30 apply (zenon_L1662_); trivial.
% 22.12/22.30 apply (zenon_L1436_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.12/22.30 apply (zenon_L1660_); trivial.
% 22.12/22.30 apply (zenon_L663_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.12/22.30 apply (zenon_L30_); trivial.
% 22.12/22.30 apply (zenon_L291_); trivial.
% 22.12/22.30 apply (zenon_L165_); trivial.
% 22.12/22.30 (* end of lemma zenon_L1663_ *)
% 22.12/22.30 assert (zenon_L1664_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (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 (e3) (e3)) = (e1))) -> False).
% 22.12/22.30 do 0 intro. intros zenon_H117 zenon_Ha9 zenon_H65 zenon_H53 zenon_H191 zenon_H12e zenon_H34 zenon_H1b7 zenon_H3c zenon_H5d zenon_H1cb zenon_Hb6 zenon_Hf7 zenon_H77 zenon_H38 zenon_H48 zenon_H18d zenon_H120.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.12/22.30 apply (zenon_L43_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.12/22.30 apply (zenon_L113_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.12/22.30 exact (zenon_H191 zenon_H110).
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.12/22.30 apply (zenon_L456_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.12/22.30 apply (zenon_L1290_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.12/22.30 apply (zenon_L1278_); trivial.
% 22.12/22.30 exact (zenon_H120 zenon_H11f).
% 22.12/22.30 (* end of lemma zenon_L1664_ *)
% 22.12/22.30 assert (zenon_L1665_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.12/22.30 do 0 intro. intros zenon_H16a zenon_H18d zenon_Hf7 zenon_H5d zenon_H1b7 zenon_H191 zenon_H120 zenon_H1c3 zenon_Hc4 zenon_H1a3 zenon_H183 zenon_H68 zenon_H20f zenon_H33 zenon_H121 zenon_H1c2 zenon_H14c zenon_H104 zenon_H7d zenon_H18a zenon_H231 zenon_Hbc zenon_H1cd zenon_H1cb zenon_H212 zenon_H12e zenon_Hfa zenon_H77 zenon_H24 zenon_H38 zenon_H196 zenon_H117 zenon_H9f zenon_H2c zenon_Hb6 zenon_H53 zenon_Ha0 zenon_H48 zenon_H109 zenon_H34 zenon_H141 zenon_Ha9 zenon_H159 zenon_H3c zenon_H13c zenon_H195.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.30 apply (zenon_L1664_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.30 apply (zenon_L56_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.30 apply (zenon_L1643_); trivial.
% 22.12/22.30 apply (zenon_L1496_); trivial.
% 22.12/22.30 (* end of lemma zenon_L1665_ *)
% 22.12/22.30 assert (zenon_L1666_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.12/22.30 do 0 intro. intros zenon_H16a zenon_H2c zenon_H190 zenon_H13c zenon_H24 zenon_H159 zenon_H141 zenon_Ha0 zenon_H54 zenon_Hb6 zenon_H117 zenon_H196 zenon_H67 zenon_H1d5 zenon_H1cf zenon_H171 zenon_He7 zenon_H1c3 zenon_H38 zenon_Hc4 zenon_H1a3 zenon_H183 zenon_H68 zenon_H34 zenon_Ha9 zenon_H77 zenon_H20f zenon_H9f zenon_H33 zenon_H121 zenon_H1c2 zenon_H14c zenon_H104 zenon_H7d zenon_H18a zenon_H231 zenon_Hbc zenon_H1cd zenon_H1cb zenon_H212 zenon_H48 zenon_H12e zenon_Hf7 zenon_H195.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.12/22.30 apply (zenon_L180_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.12/22.30 apply (zenon_L1482_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.12/22.30 apply (zenon_L1411_); trivial.
% 22.12/22.30 apply (zenon_L228_); trivial.
% 22.12/22.30 (* end of lemma zenon_L1666_ *)
% 22.12/22.30 assert (zenon_L1667_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.12/22.30 do 0 intro. intros zenon_H140 zenon_H1a2 zenon_H153 zenon_H186 zenon_Hf0 zenon_He7 zenon_H195 zenon_H13c zenon_H3c zenon_H159 zenon_Ha9 zenon_H141 zenon_H34 zenon_H109 zenon_H48 zenon_Ha0 zenon_H53 zenon_Hb6 zenon_H2c zenon_H9f zenon_H117 zenon_H24 zenon_H77 zenon_Hfa zenon_H12e zenon_H212 zenon_H1cb zenon_H1cd zenon_Hbc zenon_H231 zenon_H18a zenon_H7d zenon_H104 zenon_H1c2 zenon_H121 zenon_H33 zenon_H20f zenon_H68 zenon_H183 zenon_H1a3 zenon_Hc4 zenon_H1c3 zenon_H120 zenon_H191 zenon_H1b7 zenon_H5d zenon_H18d zenon_H16a zenon_H196 zenon_H38.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.30 apply (zenon_L24_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.30 apply (zenon_L1316_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.30 apply (zenon_L1478_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.12/22.30 apply (zenon_L359_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.12/22.30 apply (zenon_L111_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.12/22.30 apply (zenon_L1665_); trivial.
% 22.12/22.30 apply (zenon_L1162_); trivial.
% 22.12/22.30 (* end of lemma zenon_L1667_ *)
% 22.12/22.30 assert (zenon_L1668_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((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) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 22.12/22.30 do 0 intro. intros zenon_He4 zenon_H1d8 zenon_H177 zenon_H11a zenon_H16a zenon_H120 zenon_H1c3 zenon_H183 zenon_H68 zenon_H20f zenon_H33 zenon_H1c2 zenon_H104 zenon_H7d zenon_H18a zenon_H231 zenon_H1cb zenon_H212 zenon_H12e zenon_H117 zenon_H2c zenon_H195 zenon_Hfa zenon_H77 zenon_Hbc zenon_H140 zenon_H196 zenon_H1a3 zenon_Hf0 zenon_He7 zenon_H109 zenon_H34 zenon_H141 zenon_H24 zenon_H9f zenon_H13c zenon_H159 zenon_Hc4 zenon_H163 zenon_H26a zenon_Ha0 zenon_H1cd zenon_H191 zenon_H186 zenon_H153 zenon_H1a2 zenon_H1b7 zenon_Hb6 zenon_H3c zenon_H5d zenon_H38 zenon_H48 zenon_H18d zenon_H209 zenon_H121 zenon_Ha9.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.12/22.30 apply (zenon_L738_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.12/22.30 apply (zenon_L1648_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.12/22.30 apply (zenon_L1667_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.12/22.30 apply (zenon_L24_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.12/22.30 apply (zenon_L1316_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.12/22.30 apply (zenon_L1478_); trivial.
% 22.12/22.30 apply (zenon_L1492_); trivial.
% 22.12/22.30 (* end of lemma zenon_L1668_ *)
% 22.12/22.30 assert (zenon_L1669_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 22.12/22.30 do 0 intro. intros zenon_H1a2 zenon_H67 zenon_Ha0 zenon_Hf3 zenon_Hb6 zenon_H105 zenon_Hac zenon_H1cd.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.12/22.30 apply (zenon_L446_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.12/22.30 apply (zenon_L162_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.12/22.30 apply (zenon_L400_); trivial.
% 22.12/22.30 apply (zenon_L360_); trivial.
% 22.12/22.30 (* end of lemma zenon_L1669_ *)
% 22.12/22.30 assert (zenon_L1670_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e1)) -> False).
% 22.12/22.30 do 0 intro. intros zenon_H117 zenon_H9f zenon_H2c zenon_Ha0 zenon_Hdd zenon_H191 zenon_Hb6 zenon_H128.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.12/22.30 apply (zenon_L1065_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.12/22.30 apply (zenon_L152_); trivial.
% 22.12/22.30 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.12/22.30 exact (zenon_H191 zenon_H110).
% 22.12/22.30 apply (zenon_L182_); trivial.
% 22.12/22.30 (* end of lemma zenon_L1670_ *)
% 22.12/22.30 assert (zenon_L1671_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e1) (e2)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> False).
% 22.22/22.30 do 0 intro. intros zenon_H140 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H16a zenon_H1cb zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H77 zenon_H13f zenon_H4e zenon_H26d zenon_Hc4 zenon_He4 zenon_H7d zenon_H234 zenon_H1d8 zenon_H177 zenon_H82 zenon_H1fe zenon_H1d5 zenon_Hf0 zenon_H33 zenon_H121 zenon_H24 zenon_H1a8 zenon_H13b zenon_Hfa zenon_H18a zenon_H183 zenon_H192 zenon_H288 zenon_H179 zenon_Hbc zenon_H212 zenon_H164 zenon_H201 zenon_H125 zenon_H22d zenon_H100 zenon_H12e zenon_He2 zenon_H111 zenon_H1c2 zenon_H11a zenon_H231 zenon_H104 zenon_H26a zenon_H23c zenon_H1f1 zenon_H24e zenon_Hb2 zenon_H3d zenon_H120 zenon_H38 zenon_H196 zenon_Ha5 zenon_H195 zenon_H48 zenon_H109 zenon_H34 zenon_H141 zenon_H1cd zenon_Hac zenon_Hf3 zenon_H67 zenon_H1a2 zenon_H117 zenon_H9f zenon_H2c zenon_Ha0 zenon_Hdd zenon_H191 zenon_Hb6.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.22/22.30 apply (zenon_L1660_); trivial.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.22/22.30 apply (zenon_L1404_); trivial.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.22/22.30 apply (zenon_L1669_); trivial.
% 22.22/22.30 apply (zenon_L1670_); trivial.
% 22.22/22.30 (* end of lemma zenon_L1671_ *)
% 22.22/22.30 assert (zenon_L1672_ : (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> False).
% 22.22/22.30 do 0 intro. intros zenon_H159 zenon_H140 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H16a zenon_H1cb zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H77 zenon_H13f zenon_H4e zenon_H26d zenon_Hc4 zenon_He4 zenon_H7d zenon_H234 zenon_H1d8 zenon_H177 zenon_H82 zenon_H1fe zenon_H1d5 zenon_Hf0 zenon_H33 zenon_H121 zenon_H24 zenon_H1a8 zenon_H13b zenon_Hfa zenon_H18a zenon_H183 zenon_H192 zenon_H288 zenon_H179 zenon_Hbc zenon_H212 zenon_H164 zenon_H201 zenon_H125 zenon_H22d zenon_H100 zenon_H12e zenon_He2 zenon_H111 zenon_H1c2 zenon_H11a zenon_H231 zenon_H104 zenon_H26a zenon_H23c zenon_H1f1 zenon_H24e zenon_Hb2 zenon_H3d zenon_H120 zenon_H38 zenon_H196 zenon_Ha5 zenon_H195 zenon_H48 zenon_H109 zenon_H34 zenon_H141 zenon_H1cd zenon_Hf3 zenon_H67 zenon_H1a2 zenon_H117 zenon_H9f zenon_H2c zenon_Ha0 zenon_Hdd zenon_H191 zenon_Hb6.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.30 apply (zenon_L55_); trivial.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.30 exact (zenon_H159 zenon_H10c).
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.30 apply (zenon_L152_); trivial.
% 22.22/22.30 apply (zenon_L1671_); trivial.
% 22.22/22.30 (* end of lemma zenon_L1672_ *)
% 22.22/22.30 assert (zenon_L1673_ : (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> False).
% 22.22/22.30 do 0 intro. intros zenon_H159 zenon_H140 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H16a zenon_H1cb zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H77 zenon_H13f zenon_H4e zenon_H26d zenon_Hc4 zenon_He4 zenon_H7d zenon_H234 zenon_H1d8 zenon_H177 zenon_H82 zenon_H1fe zenon_H1d5 zenon_Hf0 zenon_H33 zenon_H121 zenon_H24 zenon_H1a8 zenon_H13b zenon_Hfa zenon_H18a zenon_H183 zenon_H192 zenon_H288 zenon_H179 zenon_Hbc zenon_H212 zenon_H164 zenon_H201 zenon_H125 zenon_H22d zenon_H100 zenon_H12e zenon_He2 zenon_H111 zenon_H1c2 zenon_H11a zenon_H231 zenon_H104 zenon_H26a zenon_H23c zenon_H1f1 zenon_H24e zenon_Hb2 zenon_H3d zenon_H120 zenon_H38 zenon_H196 zenon_H195 zenon_H48 zenon_H109 zenon_H34 zenon_H141 zenon_H1cd zenon_Hf3 zenon_H67 zenon_H1a2 zenon_H117 zenon_H9f zenon_H2c zenon_Ha0 zenon_Hdd zenon_H191 zenon_Hb6.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.30 apply (zenon_L900_); trivial.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.30 exact (zenon_H159 zenon_H10c).
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.30 apply (zenon_L162_); trivial.
% 22.22/22.30 apply (zenon_L1672_); trivial.
% 22.22/22.30 (* end of lemma zenon_L1673_ *)
% 22.22/22.30 assert (zenon_L1674_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.22/22.30 do 0 intro. intros zenon_H183 zenon_H68 zenon_H34 zenon_Hac zenon_Ha9 zenon_H8a zenon_H104 zenon_H181.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.22/22.30 apply (zenon_L291_); trivial.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.22/22.30 apply (zenon_L371_); trivial.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.22/22.30 apply (zenon_L231_); trivial.
% 22.22/22.30 exact (zenon_H181 zenon_H17c).
% 22.22/22.30 (* end of lemma zenon_L1674_ *)
% 22.22/22.30 assert (zenon_L1675_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e2)) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.22/22.30 do 0 intro. intros zenon_H1c6 zenon_H6e zenon_H159 zenon_H16a zenon_Hf7 zenon_Hb6 zenon_H1cb zenon_H5d zenon_H3c zenon_H1b7 zenon_H12e zenon_H191 zenon_H117 zenon_H53 zenon_H181 zenon_H104 zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H120.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.30 apply (zenon_L110_); trivial.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.30 exact (zenon_H159 zenon_H10c).
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.30 apply (zenon_L113_); trivial.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.22/22.30 apply (zenon_L1664_); trivial.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.22/22.30 apply (zenon_L56_); trivial.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.22/22.30 apply (zenon_L1674_); trivial.
% 22.22/22.30 apply (zenon_L555_); trivial.
% 22.22/22.30 (* end of lemma zenon_L1675_ *)
% 22.22/22.30 assert (zenon_L1676_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.22/22.30 do 0 intro. intros zenon_H13f zenon_H3c zenon_H100 zenon_H195 zenon_Ha0 zenon_Hb6 zenon_H2c zenon_H9f zenon_H117 zenon_H48 zenon_H14c zenon_H183 zenon_H34 zenon_H1b7 zenon_H77 zenon_Ha9 zenon_Ha5 zenon_H38 zenon_H68 zenon_H1c3 zenon_H72 zenon_H163 zenon_H181.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.22/22.30 apply (zenon_L69_); trivial.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.22/22.30 apply (zenon_L1403_); trivial.
% 22.22/22.30 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.22/22.30 apply (zenon_L255_); trivial.
% 22.22/22.30 apply (zenon_L1633_); trivial.
% 22.22/22.30 (* end of lemma zenon_L1676_ *)
% 22.22/22.30 assert (zenon_L1677_ : (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.22/22.31 do 0 intro. intros zenon_H181 zenon_H159 zenon_H209 zenon_H36 zenon_Ha0 zenon_H9f zenon_H140 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H77 zenon_H13f zenon_H4e zenon_H38 zenon_H26d zenon_Hc4 zenon_He4 zenon_H7d zenon_H234 zenon_H1d8 zenon_H177 zenon_H82 zenon_H1fe zenon_H1d5 zenon_Hf0 zenon_H33 zenon_H121 zenon_H24 zenon_H1a8 zenon_H13b zenon_Hfa zenon_H18a zenon_H183 zenon_H192 zenon_H288 zenon_H179 zenon_Hbc zenon_H212 zenon_H164 zenon_H201 zenon_H141 zenon_H125 zenon_H191 zenon_H22d zenon_H100 zenon_H12e zenon_He2 zenon_H111 zenon_H1cd zenon_H1c2 zenon_H11a zenon_H109 zenon_H2c zenon_H231 zenon_H104 zenon_H26a zenon_H23c zenon_H1f1 zenon_H24e zenon_Hb2 zenon_H153 zenon_H120 zenon_H34 zenon_H48.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.31 apply (zenon_L1284_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.31 apply (zenon_L25_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.22/22.31 apply (zenon_L738_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.22/22.31 apply (zenon_L1648_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.31 apply (zenon_L24_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.31 apply (zenon_L1405_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.31 apply (zenon_L1473_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.31 apply (zenon_L1675_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.31 apply (zenon_L1455_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.31 apply (zenon_L56_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.31 apply (zenon_L46_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.31 exact (zenon_H159 zenon_H10c).
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.22/22.31 apply (zenon_L1664_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.22/22.31 apply (zenon_L56_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.22/22.31 apply (zenon_L1495_); trivial.
% 22.22/22.31 apply (zenon_L1527_); trivial.
% 22.22/22.31 apply (zenon_L299_); trivial.
% 22.22/22.31 apply (zenon_L1493_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.22/22.31 apply (zenon_L317_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.22/22.31 apply (zenon_L1499_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.22/22.31 apply (zenon_L1673_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.22/22.31 apply (zenon_L1648_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.22/22.31 apply (zenon_L111_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.31 apply (zenon_L900_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.31 exact (zenon_H159 zenon_H10c).
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.31 apply (zenon_L1491_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.22/22.31 apply (zenon_L1649_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.22/22.31 apply (zenon_L1404_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.22/22.31 apply (zenon_L148_); trivial.
% 22.22/22.31 apply (zenon_L1670_); trivial.
% 22.22/22.31 apply (zenon_L802_); trivial.
% 22.22/22.31 apply (zenon_L422_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.22/22.31 apply (zenon_L738_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.22/22.31 apply (zenon_L492_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.31 apply (zenon_L24_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.31 apply (zenon_L1405_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.31 apply (zenon_L1473_); trivial.
% 22.22/22.31 apply (zenon_L1675_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.31 apply (zenon_L24_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.31 apply (zenon_L226_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.31 apply (zenon_L46_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.31 exact (zenon_H159 zenon_H10c).
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.31 apply (zenon_L1491_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.31 apply (zenon_L110_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.31 exact (zenon_H159 zenon_H10c).
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.31 apply (zenon_L359_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.31 apply (zenon_L152_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.31 apply (zenon_L1676_); trivial.
% 22.22/22.31 apply (zenon_L415_); trivial.
% 22.22/22.31 apply (zenon_L1439_); trivial.
% 22.22/22.31 apply (zenon_L1492_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.31 apply (zenon_L94_); trivial.
% 22.22/22.31 apply (zenon_L165_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.31 apply (zenon_L1649_); trivial.
% 22.22/22.31 apply (zenon_L456_); trivial.
% 22.22/22.31 (* end of lemma zenon_L1677_ *)
% 22.22/22.31 assert (zenon_L1678_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> False).
% 22.22/22.31 do 0 intro. intros zenon_Hcb zenon_H48 zenon_H34 zenon_H183 zenon_H8a zenon_H104 zenon_H77 zenon_H68 zenon_Hb6 zenon_H120 zenon_H12e zenon_Hbb.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.22/22.31 exact (zenon_H1a3 zenon_Hbb).
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.22/22.31 apply (zenon_L456_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.22/22.31 apply (zenon_L420_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.22/22.31 apply (zenon_L363_); trivial.
% 22.22/22.31 exact (zenon_H120 zenon_H11f).
% 22.22/22.31 (* end of lemma zenon_L1678_ *)
% 22.22/22.31 assert (zenon_L1679_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((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))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.22/22.31 do 0 intro. intros zenon_H121 zenon_H209 zenon_H181 zenon_Ha9 zenon_H12e zenon_H120 zenon_Hb6 zenon_H68 zenon_H77 zenon_H104 zenon_H8a zenon_H183 zenon_H34 zenon_H48 zenon_Hcb zenon_Hc4.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 22.22/22.31 exact (zenon_H209 zenon_H9d).
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 22.22/22.31 apply (zenon_L1674_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 22.22/22.31 apply (zenon_L1678_); trivial.
% 22.22/22.31 exact (zenon_Hc4 zenon_Hc3).
% 22.22/22.31 (* end of lemma zenon_L1679_ *)
% 22.22/22.31 assert (zenon_L1680_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.22/22.31 do 0 intro. intros zenon_Hb2 zenon_H24e zenon_H1f1 zenon_H23c zenon_H26a zenon_H231 zenon_H109 zenon_H11a zenon_H1c2 zenon_H1cd zenon_H111 zenon_He2 zenon_H100 zenon_H22d zenon_H125 zenon_H141 zenon_H201 zenon_H164 zenon_H212 zenon_Hbc zenon_H179 zenon_H288 zenon_H192 zenon_H18a zenon_Hfa zenon_H13b zenon_H1a8 zenon_H24 zenon_H33 zenon_Hf0 zenon_H1d5 zenon_H1fe zenon_H82 zenon_H177 zenon_H1d8 zenon_H234 zenon_H7d zenon_He4 zenon_H26d zenon_H13f zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H1fb zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H236 zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H196 zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H163 zenon_H1cf zenon_H283 zenon_H140 zenon_Ha0 zenon_H36 zenon_H159 zenon_H4e zenon_H14c zenon_H16a zenon_H67 zenon_H3c zenon_H5d zenon_H191 zenon_H2c zenon_H9f zenon_H117 zenon_Hcb zenon_H34 zenon_H183 zenon_H104 zenon_H68 zenon_Hb6 zenon_H120 zenon_H12e zenon_Ha9 zenon_H181 zenon_H209 zenon_H121 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H1cb.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.22/22.31 apply (zenon_L1677_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.22/22.31 apply (zenon_L14_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.22/22.31 apply (zenon_L255_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.22/22.31 apply (zenon_L180_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.22/22.31 apply (zenon_L1152_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.22/22.31 apply (zenon_L1679_); trivial.
% 22.22/22.31 apply (zenon_L1159_); trivial.
% 22.22/22.31 (* end of lemma zenon_L1680_ *)
% 22.22/22.31 assert (zenon_L1681_ : ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.22/22.31 do 0 intro. intros zenon_H10d zenon_H1cb zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H121 zenon_H209 zenon_H181 zenon_Ha9 zenon_H12e zenon_H120 zenon_Hb6 zenon_H68 zenon_H104 zenon_H183 zenon_H34 zenon_Hcb zenon_H117 zenon_H9f zenon_H2c zenon_H191 zenon_H5d zenon_H3c zenon_H67 zenon_H16a zenon_H4e zenon_H159 zenon_H36 zenon_Ha0 zenon_H140 zenon_H283 zenon_H1cf zenon_H163 zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H1fb zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H13f zenon_H26d zenon_He4 zenon_H7d zenon_H234 zenon_H1d8 zenon_H177 zenon_H82 zenon_H1fe zenon_H1d5 zenon_Hf0 zenon_H33 zenon_H24 zenon_H1a8 zenon_H13b zenon_Hfa zenon_H18a zenon_H192 zenon_H288 zenon_H179 zenon_Hbc zenon_H212 zenon_H164 zenon_H201 zenon_H141 zenon_H125 zenon_H22d zenon_H100 zenon_He2 zenon_H111 zenon_H1cd zenon_H1c2 zenon_H11a zenon_H109 zenon_H231 zenon_H26a zenon_H23c zenon_H1f1 zenon_H24e zenon_Hb2 zenon_H196 zenon_H38.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.31 apply (zenon_L359_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.31 apply (zenon_L152_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.31 apply (zenon_L1680_); trivial.
% 22.22/22.31 apply (zenon_L1162_); trivial.
% 22.22/22.31 (* end of lemma zenon_L1681_ *)
% 22.22/22.31 assert (zenon_L1682_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.22/22.31 do 0 intro. intros zenon_H16a zenon_H2c zenon_H67 zenon_H3f zenon_H234 zenon_Ha0 zenon_H14c zenon_H54 zenon_H117 zenon_Hcb zenon_H34 zenon_H183 zenon_H104 zenon_H68 zenon_Hb6 zenon_H120 zenon_H12e zenon_Ha9 zenon_H181 zenon_H209 zenon_H121 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H106 zenon_H1cb.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.22/22.31 apply (zenon_L180_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.22/22.31 apply (zenon_L1646_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.22/22.31 apply (zenon_L1679_); trivial.
% 22.22/22.31 apply (zenon_L1159_); trivial.
% 22.22/22.31 (* end of lemma zenon_L1682_ *)
% 22.22/22.31 assert (zenon_L1683_ : ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e2)) = (e3)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False).
% 22.22/22.31 do 0 intro. intros zenon_H3d zenon_Hc4 zenon_H181 zenon_H120 zenon_H129 zenon_H1bb zenon_Hb2 zenon_H24e zenon_H1f1 zenon_H23c zenon_H26a zenon_H231 zenon_H109 zenon_H11a zenon_H1c2 zenon_H1cd zenon_H111 zenon_He2 zenon_H100 zenon_H22d zenon_H191 zenon_H125 zenon_H141 zenon_H201 zenon_H164 zenon_H212 zenon_Hbc zenon_H179 zenon_H288 zenon_H192 zenon_H18a zenon_Hfa zenon_H13b zenon_H1a8 zenon_H24 zenon_H33 zenon_Hf0 zenon_H1d5 zenon_H1fe zenon_H82 zenon_H177 zenon_H1d8 zenon_H7d zenon_He4 zenon_H26d zenon_H4e zenon_H13f zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H236 zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H196 zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H163 zenon_H1cf zenon_H283 zenon_H140 zenon_H9f zenon_H36 zenon_H159 zenon_H133 zenon_H16a zenon_H2c zenon_H67 zenon_H3f zenon_H234 zenon_Ha0 zenon_H54 zenon_H117 zenon_Hcb zenon_H34 zenon_H183 zenon_H104 zenon_H68 zenon_Hb6 zenon_H12e zenon_H209 zenon_H121 zenon_H18d zenon_H48 zenon_H20f zenon_H1b4 zenon_H38 zenon_H77 zenon_H1cb zenon_Ha9 zenon_H171.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.31 apply (zenon_L55_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.31 exact (zenon_H159 zenon_H10c).
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.31 apply (zenon_L359_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.31 apply (zenon_L152_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.22/22.31 apply (zenon_L1677_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.22/22.31 apply (zenon_L124_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.22/22.31 apply (zenon_L255_); trivial.
% 22.22/22.31 apply (zenon_L1682_); trivial.
% 22.22/22.31 apply (zenon_L415_); trivial.
% 22.22/22.31 apply (zenon_L371_); trivial.
% 22.22/22.31 (* end of lemma zenon_L1683_ *)
% 22.22/22.31 assert (zenon_L1684_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((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)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.22/22.31 do 0 intro. intros zenon_H12e zenon_H48 zenon_H181 zenon_H104 zenon_H8a zenon_H77 zenon_H34 zenon_H68 zenon_H183 zenon_H4d zenon_H163 zenon_H120.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.22/22.31 apply (zenon_L456_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.22/22.31 apply (zenon_L420_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.22/22.31 apply (zenon_L285_); trivial.
% 22.22/22.31 exact (zenon_H120 zenon_H11f).
% 22.22/22.31 (* end of lemma zenon_L1684_ *)
% 22.22/22.31 assert (zenon_L1685_ : (((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) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> False).
% 22.22/22.31 do 0 intro. intros zenon_H18d zenon_H48 zenon_H38 zenon_H5d zenon_H3c zenon_H93 zenon_H77 zenon_Hef zenon_He0.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.22/22.31 apply (zenon_L246_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.22/22.31 apply (zenon_L17_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.22/22.31 apply (zenon_L218_); trivial.
% 22.22/22.31 apply (zenon_L662_); trivial.
% 22.22/22.31 (* end of lemma zenon_L1685_ *)
% 22.22/22.31 assert (zenon_L1686_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.22/22.31 do 0 intro. intros zenon_H24e zenon_Hef zenon_H77 zenon_H93 zenon_H3c zenon_H5d zenon_H38 zenon_H48 zenon_H18d zenon_H1b7 zenon_H11f zenon_H1cd zenon_H160 zenon_H1c7.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_He0 | zenon_intro zenon_H24f ].
% 22.22/22.31 apply (zenon_L1685_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H7f | zenon_intro zenon_H250 ].
% 22.22/22.31 apply (zenon_L780_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H171 | zenon_intro zenon_Hac ].
% 22.22/22.31 apply (zenon_L240_); trivial.
% 22.22/22.31 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.31 (* end of lemma zenon_L1686_ *)
% 22.22/22.31 assert (zenon_L1687_ : (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.22/22.31 do 0 intro. intros zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H53 zenon_H189 zenon_H24e zenon_Hef zenon_H77 zenon_H93 zenon_H3c zenon_H5d zenon_H38 zenon_H48 zenon_H18d zenon_H1b7 zenon_H1cd zenon_H160 zenon_H1c7.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.22/22.31 apply (zenon_L246_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.22/22.31 apply (zenon_L413_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.22/22.31 apply (zenon_L139_); trivial.
% 22.22/22.31 apply (zenon_L1686_); trivial.
% 22.22/22.31 (* end of lemma zenon_L1687_ *)
% 22.22/22.31 assert (zenon_L1688_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.22/22.31 do 0 intro. intros zenon_H1cf zenon_Hb6 zenon_Ha0 zenon_H14c zenon_Ha9 zenon_H1a2 zenon_H201 zenon_Hf3 zenon_H68 zenon_H1c2 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H53 zenon_H189 zenon_H24e zenon_Hef zenon_H77 zenon_H93 zenon_H3c zenon_H5d zenon_H38 zenon_H48 zenon_H18d zenon_H1b7 zenon_H1cd zenon_H1c7.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.22/22.31 apply (zenon_L365_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.22/22.31 apply (zenon_L62_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.22/22.31 apply (zenon_L207_); trivial.
% 22.22/22.31 apply (zenon_L1687_); trivial.
% 22.22/22.31 (* end of lemma zenon_L1688_ *)
% 22.22/22.31 assert (zenon_L1689_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.22/22.31 do 0 intro. intros zenon_Hfa zenon_He0 zenon_H77 zenon_H3c zenon_H5d zenon_H38 zenon_H48 zenon_H18d zenon_Hf3 zenon_H68 zenon_H93 zenon_H195.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.31 apply (zenon_L24_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.31 apply (zenon_L1685_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.31 apply (zenon_L62_); trivial.
% 22.22/22.31 apply (zenon_L228_); trivial.
% 22.22/22.31 (* end of lemma zenon_L1689_ *)
% 22.22/22.31 assert (zenon_L1690_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (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) (e3)) = (e0)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 22.22/22.31 do 0 intro. intros zenon_H1a8 zenon_Hc4 zenon_H1c7 zenon_H13a zenon_H33 zenon_H38 zenon_H121 zenon_H77 zenon_H3f zenon_H189 zenon_H141 zenon_H34 zenon_H109 zenon_He7 zenon_Hf0 zenon_H1cd zenon_H1c2 zenon_H1a2 zenon_Hb6 zenon_H153 zenon_Ha9 zenon_Ha0 zenon_H1a3 zenon_H67 zenon_H1d5 zenon_H1cf zenon_H68 zenon_H93.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.31 apply (zenon_L1409_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.31 apply (zenon_L186_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.31 apply (zenon_L439_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.31 apply (zenon_L359_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.31 apply (zenon_L929_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.31 apply (zenon_L1171_); trivial.
% 22.22/22.31 apply (zenon_L158_); trivial.
% 22.22/22.31 (* end of lemma zenon_L1690_ *)
% 22.22/22.31 assert (zenon_L1691_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((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))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (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 (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.22/22.31 do 0 intro. intros zenon_H288 zenon_H164 zenon_H212 zenon_H1fe zenon_Hb2 zenon_H125 zenon_H140 zenon_Hbc zenon_H231 zenon_H104 zenon_H18a zenon_H192 zenon_H12e zenon_H7d zenon_H24e zenon_H1f1 zenon_H183 zenon_H234 zenon_H26a zenon_H11a zenon_H177 zenon_H111 zenon_H13f zenon_H34 zenon_Hf5 zenon_He2 zenon_H36 zenon_H141 zenon_Hf0 zenon_H1c2 zenon_H201 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_Hfa zenon_H1cd zenon_H1d5 zenon_H159 zenon_H24 zenon_H1a8 zenon_H100 zenon_H9f zenon_H109 zenon_H179 zenon_H13b zenon_Hc4 zenon_H1a3 zenon_H1c7 zenon_H13a zenon_H33 zenon_Ha9 zenon_Hb6 zenon_Ha0 zenon_H121 zenon_H77 zenon_H93 zenon_H196 zenon_He4 zenon_H1d8 zenon_H23c zenon_H2c zenon_H82 zenon_H38 zenon_H48.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.31 apply (zenon_L253_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.31 apply (zenon_L253_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.31 apply (zenon_L297_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.31 apply (zenon_L24_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.31 apply (zenon_L1406_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.31 apply (zenon_L214_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.31 apply (zenon_L100_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.31 apply (zenon_L439_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.31 apply (zenon_L55_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.31 exact (zenon_H159 zenon_H10c).
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.31 apply (zenon_L359_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.31 apply (zenon_L152_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.31 apply (zenon_L1172_); trivial.
% 22.22/22.31 apply (zenon_L1162_); trivial.
% 22.22/22.31 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.31 apply (zenon_L228_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.22/22.31 apply (zenon_L65_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.31 apply (zenon_L24_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.31 apply (zenon_L55_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.31 exact (zenon_H159 zenon_H10c).
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.31 apply (zenon_L359_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.31 apply (zenon_L152_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.22/22.31 apply (zenon_L1237_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.22/22.31 apply (zenon_L1688_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.22/22.31 apply (zenon_L255_); trivial.
% 22.22/22.31 apply (zenon_L218_); trivial.
% 22.22/22.31 apply (zenon_L158_); trivial.
% 22.22/22.31 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.31 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.31 apply (zenon_L62_); trivial.
% 22.22/22.31 apply (zenon_L228_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.22/22.31 apply (zenon_L1242_); trivial.
% 22.22/22.31 apply (zenon_L1689_); trivial.
% 22.22/22.31 apply (zenon_L663_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.31 apply (zenon_L214_); trivial.
% 22.22/22.31 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.32 apply (zenon_L1247_); trivial.
% 22.22/22.32 apply (zenon_L165_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.32 apply (zenon_L1402_); trivial.
% 22.22/22.32 apply (zenon_L456_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.32 apply (zenon_L1284_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.32 apply (zenon_L1523_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.32 apply (zenon_L297_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.32 apply (zenon_L69_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.32 apply (zenon_L1690_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.32 apply (zenon_L184_); trivial.
% 22.22/22.32 apply (zenon_L1236_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.22/22.32 apply (zenon_L316_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.32 apply (zenon_L69_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.32 apply (zenon_L1409_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.32 apply (zenon_L186_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.32 apply (zenon_L439_); trivial.
% 22.22/22.32 apply (zenon_L1239_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.32 apply (zenon_L117_); trivial.
% 22.22/22.32 apply (zenon_L1241_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.22/22.32 apply (zenon_L1529_); trivial.
% 22.22/22.32 apply (zenon_L1401_); trivial.
% 22.22/22.32 apply (zenon_L663_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.32 apply (zenon_L1409_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.32 apply (zenon_L94_); trivial.
% 22.22/22.32 apply (zenon_L167_); trivial.
% 22.22/22.32 apply (zenon_L456_); trivial.
% 22.22/22.32 apply (zenon_L246_); trivial.
% 22.22/22.32 (* end of lemma zenon_L1691_ *)
% 22.22/22.32 assert (zenon_L1692_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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)) = (e1)) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.22/22.32 do 0 intro. intros zenon_H1c6 zenon_H159 zenon_H38 zenon_H196 zenon_H201 zenon_H6f zenon_H183 zenon_H68 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H181 zenon_H1d8 zenon_H13a zenon_H25e zenon_H1fb zenon_Ha9 zenon_H1c3 zenon_Ha0 zenon_Hb6 zenon_Ha5 zenon_Hf5 zenon_H288 zenon_H11a zenon_H3f zenon_H36 zenon_H231 zenon_H104 zenon_H18a zenon_Hbc zenon_H186 zenon_H1a2 zenon_H171 zenon_He7 zenon_H163 zenon_H192 zenon_H3d zenon_H34 zenon_H12e zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H93 zenon_H77 zenon_H1cb zenon_H54 zenon_H141 zenon_H1c7.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.32 apply (zenon_L55_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.32 exact (zenon_H159 zenon_H10c).
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.32 apply (zenon_L217_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.32 apply (zenon_L152_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.22/22.32 apply (zenon_L1520_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.22/22.32 apply (zenon_L965_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.22/22.32 apply (zenon_L255_); trivial.
% 22.22/22.32 apply (zenon_L1159_); trivial.
% 22.22/22.32 apply (zenon_L1162_); trivial.
% 22.22/22.32 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.32 (* end of lemma zenon_L1692_ *)
% 22.22/22.32 assert (zenon_L1693_ : ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.22/22.32 do 0 intro. intros zenon_Hbb zenon_Hb6 zenon_H183 zenon_H68 zenon_He7 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H163 zenon_H4d zenon_H192 zenon_H3d zenon_H48 zenon_H12e zenon_H181.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.22/22.32 apply (zenon_L456_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.22/22.32 apply (zenon_L146_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.22/22.32 apply (zenon_L363_); trivial.
% 22.22/22.32 apply (zenon_L1538_); trivial.
% 22.22/22.32 (* end of lemma zenon_L1693_ *)
% 22.22/22.32 assert (zenon_L1694_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.22/22.32 do 0 intro. intros zenon_H1a2 zenon_Ha9 zenon_H66 zenon_Hef zenon_H14c zenon_Hc4 zenon_H104 zenon_H209 zenon_H121 zenon_Hb6 zenon_H183 zenon_H68 zenon_He7 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H163 zenon_H4d zenon_H192 zenon_H3d zenon_H48 zenon_H12e zenon_H181.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.22/22.32 apply (zenon_L193_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.22/22.32 apply (zenon_L265_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.22/22.32 apply (zenon_L815_); trivial.
% 22.22/22.32 apply (zenon_L1693_); trivial.
% 22.22/22.32 (* end of lemma zenon_L1694_ *)
% 22.22/22.32 assert (zenon_L1695_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.22/22.32 do 0 intro. intros zenon_H1c6 zenon_H159 zenon_H93 zenon_H68 zenon_H1cf zenon_H181 zenon_H3d zenon_H192 zenon_H163 zenon_He7 zenon_H183 zenon_Hb6 zenon_H121 zenon_H209 zenon_H104 zenon_Hef zenon_Ha9 zenon_H1a2 zenon_H4d zenon_H1c2 zenon_H12e zenon_H77 zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H1cb zenon_H18a zenon_H1bb zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_Ha0 zenon_H13f zenon_H131 zenon_H141 zenon_H1c7.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.32 apply (zenon_L55_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.32 exact (zenon_H159 zenon_H10c).
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.32 apply (zenon_L825_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.32 apply (zenon_L152_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.22/22.32 apply (zenon_L1694_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.22/22.32 apply (zenon_L59_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.22/22.32 apply (zenon_L207_); trivial.
% 22.22/22.32 apply (zenon_L1510_); trivial.
% 22.22/22.32 apply (zenon_L158_); trivial.
% 22.22/22.32 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.32 (* end of lemma zenon_L1695_ *)
% 22.22/22.32 assert (zenon_L1696_ : ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (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) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (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))))) -> False).
% 22.22/22.32 do 0 intro. intros zenon_H54 zenon_Hbc zenon_H231 zenon_H36 zenon_H11a zenon_H288 zenon_H1d8 zenon_H201 zenon_He2 zenon_Hf0 zenon_H111 zenon_He4 zenon_H23c zenon_H109 zenon_H2c zenon_Hfa zenon_H67 zenon_H1d5 zenon_H24 zenon_H9f zenon_H100 zenon_H13b zenon_H179 zenon_He7 zenon_H192 zenon_H3d zenon_H34 zenon_H12e zenon_H159 zenon_H181 zenon_H183 zenon_H121 zenon_H209 zenon_H104 zenon_H1c2 zenon_Hc4 zenon_H18a zenon_H24e zenon_H7d zenon_H1cd zenon_H13f zenon_H141 zenon_H1c7 zenon_H1a8 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H38 zenon_H20f zenon_H129 zenon_H93 zenon_H1bb.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.32 apply (zenon_L69_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.32 apply (zenon_L214_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.32 apply (zenon_L186_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.32 apply (zenon_L439_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.32 apply (zenon_L900_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.32 exact (zenon_H159 zenon_H10c).
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.32 apply (zenon_L55_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.32 exact (zenon_H159 zenon_H10c).
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.32 apply (zenon_L217_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.32 apply (zenon_L152_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.32 apply (zenon_L1531_); trivial.
% 22.22/22.32 apply (zenon_L1162_); trivial.
% 22.22/22.32 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.32 apply (zenon_L1692_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.32 apply (zenon_L214_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.32 apply (zenon_L1695_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.32 apply (zenon_L439_); trivial.
% 22.22/22.32 apply (zenon_L965_); trivial.
% 22.22/22.32 apply (zenon_L1236_); trivial.
% 22.22/22.32 (* end of lemma zenon_L1696_ *)
% 22.22/22.32 assert (zenon_L1697_ : ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((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)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (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) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.22/22.32 do 0 intro. intros zenon_H93 zenon_H68 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H139 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H1a8 zenon_H13f zenon_H1cd zenon_H7d zenon_H24e zenon_H18a zenon_Hc4 zenon_H1c2 zenon_H104 zenon_H209 zenon_H121 zenon_H183 zenon_H181 zenon_H12e zenon_H3d zenon_H192 zenon_He7 zenon_H179 zenon_H13b zenon_H100 zenon_H1d5 zenon_H67 zenon_Hfa zenon_H23c zenon_He4 zenon_H111 zenon_Hf0 zenon_He2 zenon_H201 zenon_H1d8 zenon_H288 zenon_H11a zenon_H36 zenon_H231 zenon_Hbc zenon_H38 zenon_H196 zenon_H117 zenon_H9f zenon_H2c zenon_Hb6 zenon_Ha0 zenon_H195 zenon_H109 zenon_H34 zenon_H141 zenon_Hef zenon_H159 zenon_H24 zenon_H13c zenon_H48 zenon_H77 zenon_H1c7.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.32 apply (zenon_L55_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.32 exact (zenon_H159 zenon_H10c).
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.32 apply (zenon_L359_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.32 apply (zenon_L152_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.22/22.32 apply (zenon_L1696_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.22/22.32 apply (zenon_L1405_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.22/22.32 apply (zenon_L255_); trivial.
% 22.22/22.32 apply (zenon_L218_); trivial.
% 22.22/22.32 apply (zenon_L158_); trivial.
% 22.22/22.32 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.32 (* end of lemma zenon_L1697_ *)
% 22.22/22.32 assert (zenon_L1698_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (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) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.22/22.32 do 0 intro. intros zenon_Hbc zenon_H231 zenon_H11a zenon_H288 zenon_H1d8 zenon_H111 zenon_He4 zenon_H23c zenon_H109 zenon_H2c zenon_Hfa zenon_H24 zenon_H9f zenon_H179 zenon_H18a zenon_H34 zenon_H93 zenon_H94 zenon_H13b zenon_H181 zenon_Hc4 zenon_H13f zenon_H24e zenon_H183 zenon_H121 zenon_H209 zenon_H104 zenon_H12e zenon_H192 zenon_H7d zenon_H1c6 zenon_Hb6 zenon_H3d zenon_H159 zenon_Ha0 zenon_H1c7 zenon_H100 zenon_H201 zenon_H1c2 zenon_H1cd zenon_Hf0 zenon_H54 zenon_H141 zenon_H1a8 zenon_H36 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_H186 zenon_H25b zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_He2 zenon_Hf5 zenon_H1d5 zenon_H125 zenon_H38 zenon_H68.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.32 apply (zenon_L297_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.32 apply (zenon_L1696_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.32 apply (zenon_L1243_); trivial.
% 22.22/22.32 apply (zenon_L663_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.32 apply (zenon_L214_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.22/22.32 apply (zenon_L252_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.32 apply (zenon_L171_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.32 apply (zenon_L24_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.32 apply (zenon_L214_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.32 apply (zenon_L186_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.32 apply (zenon_L439_); trivial.
% 22.22/22.32 apply (zenon_L1246_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.32 apply (zenon_L214_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.32 apply (zenon_L55_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.32 exact (zenon_H159 zenon_H10c).
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.32 apply (zenon_L825_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.32 apply (zenon_L1242_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.32 apply (zenon_L1694_); trivial.
% 22.22/22.32 apply (zenon_L1162_); trivial.
% 22.22/22.32 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.32 apply (zenon_L439_); trivial.
% 22.22/22.32 apply (zenon_L965_); trivial.
% 22.22/22.32 apply (zenon_L414_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.32 apply (zenon_L1243_); trivial.
% 22.22/22.32 apply (zenon_L663_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.22/22.32 apply (zenon_L38_); trivial.
% 22.22/22.32 apply (zenon_L291_); trivial.
% 22.22/22.32 apply (zenon_L165_); trivial.
% 22.22/22.32 (* end of lemma zenon_L1698_ *)
% 22.22/22.32 assert (zenon_L1699_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.22/22.32 do 0 intro. intros zenon_H26a zenon_Ha0 zenon_H186 zenon_H133 zenon_H195 zenon_H93 zenon_H11f zenon_H20f zenon_Hf5 zenon_H38 zenon_H25b zenon_Hc4.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H9e | zenon_intro zenon_H26b ].
% 22.22/22.32 apply (zenon_L156_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H26c ].
% 22.22/22.32 apply (zenon_L308_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc3 ].
% 22.22/22.32 apply (zenon_L671_); trivial.
% 22.22/22.32 exact (zenon_Hc4 zenon_Hc3).
% 22.22/22.32 (* end of lemma zenon_L1699_ *)
% 22.22/22.32 assert (zenon_L1700_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.22/22.32 do 0 intro. intros zenon_H12e zenon_H181 zenon_H18a zenon_H162 zenon_H1b7 zenon_H1cb zenon_H77 zenon_H1bb zenon_H1b4 zenon_H129 zenon_H48 zenon_H18d zenon_H26a zenon_Ha0 zenon_H186 zenon_H133 zenon_H195 zenon_H93 zenon_H20f zenon_Hf5 zenon_H38 zenon_H25b zenon_Hc4.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.22/22.32 apply (zenon_L211_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.22/22.32 apply (zenon_L1276_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.22/22.32 apply (zenon_L1159_); trivial.
% 22.22/22.32 apply (zenon_L1699_); trivial.
% 22.22/22.32 (* end of lemma zenon_L1700_ *)
% 22.22/22.32 assert (zenon_L1701_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.22/22.32 do 0 intro. intros zenon_H183 zenon_H68 zenon_H6e zenon_H192 zenon_Hc4 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H162 zenon_H1bb zenon_H181.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.22/22.32 apply (zenon_L291_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.22/22.32 apply (zenon_L1128_); trivial.
% 22.22/22.32 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.22/22.32 apply (zenon_L870_); trivial.
% 22.22/22.32 exact (zenon_H181 zenon_H17c).
% 22.22/22.32 (* end of lemma zenon_L1701_ *)
% 22.22/22.32 assert (zenon_L1702_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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)) = (e1)) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.22/22.33 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H25b zenon_H195 zenon_H26a zenon_H162 zenon_H1c6 zenon_H159 zenon_H38 zenon_H196 zenon_H201 zenon_H6f zenon_H183 zenon_H68 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H181 zenon_H1d8 zenon_H13a zenon_H25e zenon_H1fb zenon_Ha9 zenon_H1c3 zenon_Ha0 zenon_Hb6 zenon_Hf5 zenon_H288 zenon_H11a zenon_H3f zenon_H36 zenon_H231 zenon_H104 zenon_H18a zenon_Hbc zenon_H186 zenon_H1a2 zenon_H171 zenon_He7 zenon_H163 zenon_H192 zenon_H3d zenon_H34 zenon_H12e zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H93 zenon_H77 zenon_H1cb zenon_H54 zenon_H141 zenon_H1c7.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.33 apply (zenon_L900_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.33 exact (zenon_H159 zenon_H10c).
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.33 apply (zenon_L1700_); trivial.
% 22.22/22.33 apply (zenon_L1692_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1702_ *)
% 22.22/22.33 assert (zenon_L1703_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.22/22.33 do 0 intro. intros zenon_H141 zenon_H48 zenon_H54 zenon_Ha0 zenon_H10d zenon_Hef zenon_H133 zenon_H196 zenon_H38.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.33 apply (zenon_L217_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.33 apply (zenon_L152_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.33 apply (zenon_L265_); trivial.
% 22.22/22.33 apply (zenon_L1162_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1703_ *)
% 22.22/22.33 assert (zenon_L1704_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.22/22.33 do 0 intro. intros zenon_H1a2 zenon_Ha9 zenon_H66 zenon_H196 zenon_Hef zenon_H10d zenon_H54 zenon_H141 zenon_Ha0 zenon_H111 zenon_H121 zenon_H33 zenon_H104 zenon_H13a zenon_H18a zenon_H162 zenon_H77 zenon_H93 zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_Hb6 zenon_H183 zenon_H68 zenon_He7 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H163 zenon_H4d zenon_H192 zenon_H3d zenon_H48 zenon_H12e zenon_H181.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.22/22.33 apply (zenon_L193_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.22/22.33 apply (zenon_L1703_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.22/22.33 apply (zenon_L1300_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.22/22.33 apply (zenon_L211_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.22/22.33 apply (zenon_L1276_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.22/22.33 apply (zenon_L363_); trivial.
% 22.22/22.33 apply (zenon_L1538_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1704_ *)
% 22.22/22.33 assert (zenon_L1705_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.22/22.33 do 0 intro. intros zenon_H1c6 zenon_H159 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H163 zenon_H4d zenon_H192 zenon_H3d zenon_H48 zenon_H12e zenon_H1c2 zenon_H93 zenon_Hef zenon_H156 zenon_H1a2 zenon_Ha9 zenon_H196 zenon_H54 zenon_H141 zenon_Ha0 zenon_H111 zenon_H121 zenon_H33 zenon_H104 zenon_H13a zenon_H18a zenon_H162 zenon_H77 zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_Hb6 zenon_H183 zenon_H68 zenon_He7 zenon_H181 zenon_H1cf zenon_H1c7.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.33 apply (zenon_L55_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.33 exact (zenon_H159 zenon_H10c).
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.22/22.33 apply (zenon_L1704_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.22/22.33 apply (zenon_L100_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.22/22.33 apply (zenon_L207_); trivial.
% 22.22/22.33 apply (zenon_L853_); trivial.
% 22.22/22.33 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.33 (* end of lemma zenon_L1705_ *)
% 22.22/22.33 assert (zenon_L1706_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (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) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (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 (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.22/22.33 do 0 intro. intros zenon_Heb zenon_H100 zenon_H1cb zenon_H186 zenon_Hbc zenon_H231 zenon_H36 zenon_H11a zenon_H288 zenon_Hf5 zenon_H1fb zenon_H25e zenon_H1d8 zenon_H6f zenon_H201 zenon_H26a zenon_H195 zenon_H25b zenon_H24 zenon_H9f zenon_H13c zenon_He7 zenon_H163 zenon_H192 zenon_H3d zenon_H34 zenon_H48 zenon_H12e zenon_H93 zenon_H189 zenon_H1c6 zenon_H159 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H1c2 zenon_H156 zenon_H1a2 zenon_Ha9 zenon_H196 zenon_H54 zenon_H141 zenon_Ha0 zenon_H111 zenon_H121 zenon_H33 zenon_H104 zenon_H13a zenon_H18a zenon_H162 zenon_H18d zenon_Hb6 zenon_H183 zenon_H1cf zenon_H1c7 zenon_H1a8 zenon_H1c3 zenon_H68 zenon_H77 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H181.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.33 apply (zenon_L69_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.33 apply (zenon_L1701_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.33 apply (zenon_L186_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.33 apply (zenon_L439_); trivial.
% 22.22/22.33 apply (zenon_L1702_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.33 apply (zenon_L214_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.33 apply (zenon_L1705_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.33 apply (zenon_L439_); trivial.
% 22.22/22.33 apply (zenon_L965_); trivial.
% 22.22/22.33 apply (zenon_L414_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1706_ *)
% 22.22/22.33 assert (zenon_L1707_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((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) (e3)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.22/22.33 do 0 intro. intros zenon_H141 zenon_H34 zenon_H109 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H18d zenon_H48 zenon_H38 zenon_H5d zenon_H3c zenon_H93 zenon_Hef zenon_H24e zenon_H189 zenon_H53 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1c2 zenon_Hf3 zenon_H201 zenon_H1a2 zenon_Ha0 zenon_Hb6 zenon_H1cf zenon_H1bb zenon_H162 zenon_H77 zenon_H68 zenon_Ha9 zenon_Ha5 zenon_H9f zenon_H1c3 zenon_H181 zenon_Hc4.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.33 apply (zenon_L359_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.33 apply (zenon_L111_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.33 apply (zenon_L1688_); trivial.
% 22.22/22.33 apply (zenon_L886_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1707_ *)
% 22.22/22.33 assert (zenon_L1708_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((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)) = (e0)) -> False).
% 22.22/22.33 do 0 intro. intros zenon_H1a8 zenon_H181 zenon_H1bb zenon_H162 zenon_H1c7 zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_Hc4 zenon_H192 zenon_H183 zenon_H3f zenon_H189 zenon_H141 zenon_H54 zenon_He7 zenon_Hf0 zenon_H1cd zenon_H1c2 zenon_H93 zenon_H68 zenon_Hf3 zenon_H201 zenon_H77 zenon_H48 zenon_H1a2 zenon_Ha9 zenon_Ha0 zenon_Hb6 zenon_H1cf zenon_H196 zenon_H38.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.33 apply (zenon_L1701_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.33 apply (zenon_L186_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.33 apply (zenon_L439_); trivial.
% 22.22/22.33 apply (zenon_L1239_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1708_ *)
% 22.22/22.33 assert (zenon_L1709_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (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) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((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)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((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) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.22/22.33 do 0 intro. intros zenon_H13b zenon_H179 zenon_H18a zenon_H104 zenon_H33 zenon_H121 zenon_H111 zenon_H12e zenon_H9f zenon_H24 zenon_H26a zenon_H1d8 zenon_H288 zenon_H11a zenon_H36 zenon_H231 zenon_Hbc zenon_H34 zenon_H7d zenon_H1c6 zenon_Hb6 zenon_H3d zenon_H159 zenon_Ha0 zenon_H1c7 zenon_H100 zenon_H201 zenon_H1c2 zenon_H1cd zenon_Hf0 zenon_H54 zenon_H141 zenon_H183 zenon_H192 zenon_Hc4 zenon_H24e zenon_H162 zenon_H181 zenon_H1a8 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_H186 zenon_H25b zenon_H68 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H93 zenon_H1bb zenon_He2 zenon_Hf5 zenon_H38.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.33 apply (zenon_L297_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.33 apply (zenon_L1706_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.33 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.22/22.33 apply (zenon_L316_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.33 apply (zenon_L69_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.33 apply (zenon_L1708_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.33 apply (zenon_L117_); trivial.
% 22.22/22.33 apply (zenon_L1236_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.22/22.33 apply (zenon_L1242_); trivial.
% 22.22/22.33 apply (zenon_L802_); trivial.
% 22.22/22.33 apply (zenon_L663_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1709_ *)
% 22.22/22.33 assert (zenon_L1710_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((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))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((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 (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.22/22.33 do 0 intro. intros zenon_H13c zenon_H24 zenon_H159 zenon_Hc4 zenon_H25b zenon_Hf5 zenon_H20f zenon_H93 zenon_H186 zenon_H26a zenon_H18d zenon_H129 zenon_H1b4 zenon_H1bb zenon_H77 zenon_H1cb zenon_H1b7 zenon_H162 zenon_H18a zenon_H181 zenon_H12e zenon_H141 zenon_H34 zenon_H109 zenon_H48 zenon_H195 zenon_Ha0 zenon_H53 zenon_Hb6 zenon_H2c zenon_H9f zenon_H117 zenon_H196 zenon_H38.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.33 apply (zenon_L900_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.33 exact (zenon_H159 zenon_H10c).
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.33 apply (zenon_L1700_); trivial.
% 22.22/22.33 apply (zenon_L1404_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1710_ *)
% 22.22/22.33 assert (zenon_L1711_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (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) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((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 (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.22/22.33 do 0 intro. intros zenon_Heb zenon_H100 zenon_H1c7 zenon_H1a2 zenon_H186 zenon_Hbc zenon_H18a zenon_H104 zenon_H231 zenon_H1cb zenon_H93 zenon_H18d zenon_H36 zenon_H12e zenon_H48 zenon_H11a zenon_H288 zenon_Hf5 zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H196 zenon_H1fb zenon_H25e zenon_H13a zenon_H1d8 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H192 zenon_H183 zenon_H6f zenon_H159 zenon_H141 zenon_H111 zenon_H13f zenon_He7 zenon_Hf0 zenon_H195 zenon_H54 zenon_H117 zenon_H1c6 zenon_H162 zenon_H26a zenon_H25b zenon_H24 zenon_H9f zenon_H13c zenon_H73 zenon_H153 zenon_H1c3 zenon_H68 zenon_H77 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H181.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.33 apply (zenon_L69_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.33 apply (zenon_L900_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.33 exact (zenon_H159 zenon_H10c).
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.33 apply (zenon_L1700_); trivial.
% 22.22/22.33 apply (zenon_L1521_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.33 apply (zenon_L184_); trivial.
% 22.22/22.33 apply (zenon_L414_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1711_ *)
% 22.22/22.33 assert (zenon_L1712_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.22/22.33 do 0 intro. intros zenon_H3a zenon_H9f zenon_H38.
% 22.22/22.33 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.22/22.33 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.22/22.33 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.22/22.33 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.22/22.33 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.22/22.33 apply (zenon_L1568_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1712_ *)
% 22.22/22.33 assert (zenon_L1713_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 22.22/22.33 do 0 intro. intros zenon_H1cf zenon_H177 zenon_Ha9 zenon_Hac zenon_H183 zenon_H156 zenon_Hef zenon_H8b zenon_H164 zenon_H195 zenon_H93 zenon_H163 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H77 zenon_H25 zenon_H68 zenon_Hfa zenon_H14c zenon_H104 zenon_H67 zenon_H7e.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.22/22.33 apply (zenon_L1575_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.22/22.33 apply (zenon_L100_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.22/22.33 exact (zenon_H8b zenon_H8a).
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.22/22.33 apply (zenon_L456_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.22/22.33 apply (zenon_L828_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.22/22.33 apply (zenon_L257_); trivial.
% 22.22/22.33 apply (zenon_L547_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1713_ *)
% 22.22/22.33 assert (zenon_L1714_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.22/22.33 do 0 intro. intros zenon_H82 zenon_H68 zenon_H38 zenon_H13a zenon_Hb6 zenon_H3d zenon_Ha9 zenon_Ha0 zenon_H77 zenon_H139 zenon_H4e zenon_H5a zenon_H55 zenon_H53 zenon_H34 zenon_H48.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.33 apply (zenon_L1149_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.33 apply (zenon_L16_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.33 apply (zenon_L15_); trivial.
% 22.22/22.33 apply (zenon_L456_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1714_ *)
% 22.22/22.33 assert (zenon_L1715_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e0)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.22/22.33 do 0 intro. intros zenon_H15d zenon_H9f zenon_H34 zenon_H53 zenon_H55 zenon_H5a zenon_H4e zenon_H139 zenon_H77 zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H13a zenon_H68 zenon_H82 zenon_H73 zenon_H4d zenon_H38 zenon_H48.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.33 apply (zenon_L253_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.33 apply (zenon_L1714_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.33 apply (zenon_L184_); trivial.
% 22.22/22.33 apply (zenon_L246_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1715_ *)
% 22.22/22.33 assert (zenon_L1716_ : (~((e0) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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 (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> False).
% 22.22/22.33 do 0 intro. intros zenon_Ha0 zenon_H9f zenon_H15d zenon_H73 zenon_H139 zenon_H68 zenon_Ha9 zenon_H38 zenon_H13a zenon_H77 zenon_H48 zenon_H55 zenon_H53 zenon_H1d5 zenon_H125 zenon_H1c6 zenon_H92 zenon_H1ef zenon_H131 zenon_H4d zenon_H13e zenon_H7b zenon_Hf0 zenon_H8b zenon_H16a zenon_H1cf zenon_Hfa zenon_H195 zenon_H163 zenon_H1bb zenon_Hc4 zenon_H20f zenon_H1b4 zenon_H18d zenon_H104 zenon_H164 zenon_H156 zenon_H177 zenon_H129 zenon_H183 zenon_H196 zenon_H141 zenon_H159 zenon_H82 zenon_Hb6 zenon_H5a zenon_H4e zenon_H1fe zenon_H93.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.22/22.33 exact (zenon_H16b zenon_H93).
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.22/22.33 apply (zenon_L41_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.33 apply (zenon_L253_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.33 apply (zenon_L1149_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.33 apply (zenon_L25_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.33 apply (zenon_L15_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.33 apply (zenon_L171_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.33 apply (zenon_L55_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.33 exact (zenon_H159 zenon_H10c).
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.33 apply (zenon_L113_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.33 apply (zenon_L1008_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.33 apply (zenon_L111_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.33 apply (zenon_L1713_); trivial.
% 22.22/22.33 apply (zenon_L1162_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.33 apply (zenon_L59_); trivial.
% 22.22/22.33 apply (zenon_L228_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.33 apply (zenon_L214_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.33 apply (zenon_L651_); trivial.
% 22.22/22.33 apply (zenon_L165_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.33 apply (zenon_L184_); trivial.
% 22.22/22.33 apply (zenon_L246_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.22/22.33 apply (zenon_L755_); trivial.
% 22.22/22.33 apply (zenon_L1715_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1716_ *)
% 22.22/22.33 assert (zenon_L1717_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.22/22.33 do 0 intro. intros zenon_H61 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H93 zenon_H77 zenon_H1b7.
% 22.22/22.33 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 22.22/22.33 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 22.22/22.33 apply (zenon_L1276_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1717_ *)
% 22.22/22.33 assert (zenon_L1718_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.22/22.33 do 0 intro. intros zenon_Hfa zenon_H68 zenon_H25 zenon_H77 zenon_H3f zenon_H160 zenon_H163 zenon_H93 zenon_H195.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.33 apply (zenon_L171_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.33 apply (zenon_L186_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.33 apply (zenon_L227_); trivial.
% 22.22/22.33 apply (zenon_L228_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1718_ *)
% 22.22/22.33 assert (zenon_L1719_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (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) (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) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (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 (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.22/22.33 do 0 intro. intros zenon_H13c zenon_H9f zenon_H24 zenon_H1c6 zenon_H159 zenon_H38 zenon_H196 zenon_H164 zenon_H1cd zenon_H7d zenon_H24e zenon_H4d zenon_H192 zenon_H3d zenon_H12e zenon_H1b7 zenon_H68 zenon_H93 zenon_Ha0 zenon_Hfa zenon_H25 zenon_H77 zenon_H1bb zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H160 zenon_H163 zenon_H195 zenon_H19a zenon_H104 zenon_H1b4 zenon_H13f zenon_Hb6 zenon_H131 zenon_H141 zenon_H1c7.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.33 apply (zenon_L900_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.33 exact (zenon_H159 zenon_H10c).
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.33 apply (zenon_L124_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.33 apply (zenon_L55_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.33 exact (zenon_H159 zenon_H10c).
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.33 apply (zenon_L825_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.33 apply (zenon_L152_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.22/22.33 apply (zenon_L853_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.22/22.33 apply (zenon_L829_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.22/22.33 apply (zenon_L257_); trivial.
% 22.22/22.33 apply (zenon_L411_); trivial.
% 22.22/22.33 apply (zenon_L1162_); trivial.
% 22.22/22.33 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.33 (* end of lemma zenon_L1719_ *)
% 22.22/22.33 assert (zenon_L1720_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.22/22.33 do 0 intro. intros zenon_H18d zenon_H48 zenon_H1cb zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H68 zenon_H1c3 zenon_H99 zenon_H93 zenon_H77 zenon_H7e zenon_H18a.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.22/22.33 apply (zenon_L246_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.22/22.33 apply (zenon_L1352_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.22/22.33 apply (zenon_L218_); trivial.
% 22.22/22.33 apply (zenon_L140_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1720_ *)
% 22.22/22.33 assert (zenon_L1721_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((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)) -> (~((e1) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.22/22.33 do 0 intro. intros zenon_Hfa zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H18d zenon_H48 zenon_H38 zenon_H5d zenon_H3c zenon_H77 zenon_H24e zenon_H189 zenon_H53 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H160 zenon_H163 zenon_H93 zenon_H195.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.33 apply (zenon_L24_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.33 apply (zenon_L1687_); trivial.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.33 apply (zenon_L227_); trivial.
% 22.22/22.33 apply (zenon_L228_); trivial.
% 22.22/22.33 (* end of lemma zenon_L1721_ *)
% 22.22/22.33 assert (zenon_L1722_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.22/22.33 do 0 intro. intros zenon_He4 zenon_H1d8 zenon_H153 zenon_H23c zenon_H195 zenon_H163 zenon_H160 zenon_H189 zenon_H24e zenon_H3c zenon_H5d zenon_H1cd zenon_H1c7 zenon_Hfa zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H93 zenon_H77 zenon_H1b7.
% 22.22/22.33 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.22/22.33 apply (zenon_L738_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.22/22.34 apply (zenon_L492_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.22/22.34 apply (zenon_L1721_); trivial.
% 22.22/22.34 apply (zenon_L1276_); trivial.
% 22.22/22.34 (* end of lemma zenon_L1722_ *)
% 22.22/22.34 assert (zenon_L1723_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.22/22.34 do 0 intro. intros zenon_H82 zenon_H13a zenon_Ha9 zenon_Hb6 zenon_Ha0 zenon_H139 zenon_H1b7 zenon_H1c7 zenon_H1cd zenon_H5d zenon_H24e zenon_H189 zenon_H23c zenon_H1d8 zenon_He4 zenon_H153 zenon_H73 zenon_Hfa zenon_H25 zenon_H160 zenon_H163 zenon_H195 zenon_H100 zenon_Heb zenon_H18d zenon_H48 zenon_H1cb zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H68 zenon_H1c3 zenon_H99 zenon_H93 zenon_H77 zenon_H18a.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.34 apply (zenon_L1284_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.34 apply (zenon_L1722_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.34 apply (zenon_L69_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.34 apply (zenon_L1718_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.34 apply (zenon_L184_); trivial.
% 22.22/22.34 apply (zenon_L1352_); trivial.
% 22.22/22.34 apply (zenon_L1720_); trivial.
% 22.22/22.34 (* end of lemma zenon_L1723_ *)
% 22.22/22.34 assert (zenon_L1724_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (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 (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.22/22.34 do 0 intro. intros zenon_H12e zenon_H18a zenon_H77 zenon_H99 zenon_H1c3 zenon_H68 zenon_H129 zenon_H1b4 zenon_H1bb zenon_H1cb zenon_H48 zenon_H18d zenon_H3d zenon_H192 zenon_H105 zenon_H104 zenon_H26a zenon_Ha0 zenon_H186 zenon_H133 zenon_H195 zenon_H93 zenon_H20f zenon_Hf5 zenon_H38 zenon_H25b zenon_Hc4.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.22/22.34 apply (zenon_L1720_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.22/22.34 apply (zenon_L146_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.22/22.34 apply (zenon_L72_); trivial.
% 22.22/22.34 apply (zenon_L1699_); trivial.
% 22.22/22.34 (* end of lemma zenon_L1724_ *)
% 22.22/22.34 assert (zenon_L1725_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (((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) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 22.22/22.34 do 0 intro. intros zenon_H13f zenon_H2d zenon_Hb6 zenon_H10d zenon_Hc4 zenon_H25b zenon_H38 zenon_Hf5 zenon_H20f zenon_H195 zenon_H133 zenon_H186 zenon_Ha0 zenon_H26a zenon_H104 zenon_H192 zenon_H3d zenon_H18d zenon_H48 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H129 zenon_H68 zenon_H1c3 zenon_H99 zenon_H18a zenon_H12e zenon_H77 zenon_H93.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.22/22.34 apply (zenon_L217_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.22/22.34 apply (zenon_L113_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.22/22.34 apply (zenon_L1724_); trivial.
% 22.22/22.34 apply (zenon_L218_); trivial.
% 22.22/22.34 (* end of lemma zenon_L1725_ *)
% 22.22/22.34 assert (zenon_L1726_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> False).
% 22.22/22.34 do 0 intro. intros zenon_H201 zenon_H1d8 zenon_H3d zenon_Hf3 zenon_H48 zenon_H53 zenon_H190 zenon_H77 zenon_H160.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.22/22.34 apply (zenon_L738_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.22/22.34 apply (zenon_L117_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.22/22.34 apply (zenon_L143_); trivial.
% 22.22/22.34 apply (zenon_L367_); trivial.
% 22.22/22.34 (* end of lemma zenon_L1726_ *)
% 22.22/22.34 assert (zenon_L1727_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 22.22/22.34 do 0 intro. intros zenon_H13f zenon_H3c zenon_H100 zenon_H190 zenon_Hf3 zenon_H1d8 zenon_H201 zenon_H1cd zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_Ha0 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_Hef zenon_H109 zenon_H2d zenon_H164 zenon_Hb6 zenon_H12e zenon_H99 zenon_H1c3 zenon_H68 zenon_H1cb zenon_H3d zenon_H192 zenon_H104 zenon_H26a zenon_H186 zenon_H195 zenon_Hf5 zenon_H25b zenon_H67 zenon_H1a2 zenon_H77 zenon_H93.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.22/22.34 apply (zenon_L69_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.22/22.34 apply (zenon_L1726_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.22/22.34 apply (zenon_L446_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.22/22.34 apply (zenon_L1724_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.22/22.34 apply (zenon_L400_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.22/22.34 apply (zenon_L359_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.22/22.34 apply (zenon_L827_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.22/22.34 apply (zenon_L80_); trivial.
% 22.22/22.34 apply (zenon_L560_); trivial.
% 22.22/22.34 apply (zenon_L218_); trivial.
% 22.22/22.34 (* end of lemma zenon_L1727_ *)
% 22.22/22.34 assert (zenon_L1728_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 22.22/22.34 do 0 intro. intros zenon_H13f zenon_H3c zenon_H100 zenon_Hb6 zenon_H11d zenon_Ha0 zenon_H10d zenon_H190 zenon_Ha5 zenon_H186 zenon_H67 zenon_H1a2 zenon_H77 zenon_H93.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.22/22.34 apply (zenon_L69_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.22/22.34 apply (zenon_L113_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.22/22.34 apply (zenon_L446_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.22/22.34 apply (zenon_L308_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.22/22.34 apply (zenon_L163_); trivial.
% 22.22/22.34 apply (zenon_L80_); trivial.
% 22.22/22.34 apply (zenon_L218_); trivial.
% 22.22/22.34 (* end of lemma zenon_L1728_ *)
% 22.22/22.34 assert (zenon_L1729_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e2) (e0)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.22/22.34 do 0 intro. intros zenon_H82 zenon_H13a zenon_Ha9 zenon_Hb6 zenon_Ha0 zenon_H139 zenon_H1b7 zenon_Hfa zenon_H1c7 zenon_H1cd zenon_H5d zenon_H24e zenon_H189 zenon_H160 zenon_H163 zenon_H195 zenon_H23c zenon_H153 zenon_H1d8 zenon_He4 zenon_H2d zenon_H18d zenon_H48 zenon_H1cb zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H68 zenon_H1c3 zenon_H99 zenon_H93 zenon_H77 zenon_H18a.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.34 apply (zenon_L1284_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.34 apply (zenon_L1722_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.34 apply (zenon_L217_); trivial.
% 22.22/22.34 apply (zenon_L1720_); trivial.
% 22.22/22.34 (* end of lemma zenon_L1729_ *)
% 22.22/22.34 assert (zenon_L1730_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (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 (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e0)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.22/22.34 do 0 intro. intros zenon_H15d zenon_H13c zenon_H9f zenon_H24 zenon_H1c6 zenon_H159 zenon_H1a2 zenon_H186 zenon_H190 zenon_H100 zenon_H13f zenon_H1ef zenon_H201 zenon_H212 zenon_H7d zenon_Hbc zenon_H209 zenon_H109 zenon_H164 zenon_H12e zenon_H192 zenon_H104 zenon_H26a zenon_Hf5 zenon_H25b zenon_H26d zenon_H140 zenon_H177 zenon_H18a zenon_H77 zenon_H93 zenon_H99 zenon_H1c3 zenon_H68 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1cb zenon_H18d zenon_H2d zenon_He4 zenon_H1d8 zenon_H23c zenon_H195 zenon_H163 zenon_H160 zenon_H189 zenon_H24e zenon_H5d zenon_H1cd zenon_H1c7 zenon_Hfa zenon_H1b7 zenon_H139 zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_H13a zenon_H82 zenon_H38 zenon_H48.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.34 apply (zenon_L253_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.34 apply (zenon_L1149_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.34 apply (zenon_L24_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.34 apply (zenon_L900_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.34 apply (zenon_L55_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.34 apply (zenon_L1725_); trivial.
% 22.22/22.34 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.34 apply (zenon_L55_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.22/22.34 apply (zenon_L756_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.22/22.34 apply (zenon_L1727_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.22/22.34 apply (zenon_L405_); trivial.
% 22.22/22.34 apply (zenon_L1728_); trivial.
% 22.22/22.34 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.34 apply (zenon_L227_); trivial.
% 22.22/22.34 apply (zenon_L228_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.34 apply (zenon_L214_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.34 apply (zenon_L122_); trivial.
% 22.22/22.34 apply (zenon_L165_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.34 apply (zenon_L217_); trivial.
% 22.22/22.34 apply (zenon_L1720_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.34 apply (zenon_L1729_); trivial.
% 22.22/22.34 apply (zenon_L246_); trivial.
% 22.22/22.34 (* end of lemma zenon_L1730_ *)
% 22.22/22.34 assert (zenon_L1731_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (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 (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.22/22.34 do 0 intro. intros zenon_H1c6 zenon_H1a3 zenon_H11a zenon_H9f zenon_H33 zenon_H121 zenon_H93 zenon_H77 zenon_H12e zenon_H18a zenon_H99 zenon_H1c3 zenon_H68 zenon_H129 zenon_H1b4 zenon_H1bb zenon_H1cb zenon_H48 zenon_H18d zenon_H3d zenon_H192 zenon_H104 zenon_H26a zenon_Ha0 zenon_H186 zenon_H133 zenon_H195 zenon_H20f zenon_Hf5 zenon_H38 zenon_H25b zenon_Hc4 zenon_Hb6 zenon_H2d zenon_H13f zenon_H1c7.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.34 apply (zenon_L55_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.34 apply (zenon_L538_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.34 apply (zenon_L1725_); trivial.
% 22.22/22.34 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.34 (* end of lemma zenon_L1731_ *)
% 22.22/22.34 assert (zenon_L1732_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.22/22.34 do 0 intro. intros zenon_H1c6 zenon_H3d zenon_H159 zenon_H93 zenon_H77 zenon_H1a2 zenon_H67 zenon_Hf3 zenon_Hb6 zenon_H164 zenon_H160 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H18a zenon_H1cb zenon_H12e zenon_Hef zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_Ha0 zenon_H162 zenon_H100 zenon_H3c zenon_H13f zenon_H1c7.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.34 apply (zenon_L55_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.22/22.34 apply (zenon_L69_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.22/22.34 apply (zenon_L113_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.22/22.34 apply (zenon_L446_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.22/22.34 apply (zenon_L162_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.22/22.34 apply (zenon_L400_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.22/22.34 apply (zenon_L1510_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.22/22.34 apply (zenon_L827_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.22/22.34 apply (zenon_L80_); trivial.
% 22.22/22.34 exact (zenon_H162 zenon_H167).
% 22.22/22.34 apply (zenon_L218_); trivial.
% 22.22/22.34 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.34 (* end of lemma zenon_L1732_ *)
% 22.22/22.34 assert (zenon_L1733_ : ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.22/22.34 do 0 intro. intros zenon_H93 zenon_H77 zenon_H1a2 zenon_H67 zenon_H186 zenon_Ha5 zenon_H190 zenon_Ha0 zenon_Hb6 zenon_H100 zenon_H3c zenon_H13f zenon_H1ef zenon_H2d zenon_H1c6 zenon_H3d zenon_H159 zenon_H164 zenon_H160 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H18a zenon_H1cb zenon_H12e zenon_Hef zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H162 zenon_H26d zenon_H140 zenon_H1c7.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.34 apply (zenon_L55_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.22/22.34 apply (zenon_L756_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.22/22.34 apply (zenon_L1732_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.22/22.34 apply (zenon_L405_); trivial.
% 22.22/22.34 apply (zenon_L1728_); trivial.
% 22.22/22.34 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.34 (* end of lemma zenon_L1733_ *)
% 22.22/22.34 assert (zenon_L1734_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e3) (e0)) = (op (e3) (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) (e3)) = (op (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 (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> False).
% 22.22/22.34 do 0 intro. intros zenon_Hc8 zenon_Hcb zenon_He2 zenon_Hf0 zenon_H121 zenon_H11a zenon_H33 zenon_H1fe zenon_H26a zenon_H212 zenon_H109 zenon_H201 zenon_H140 zenon_H177 zenon_H125 zenon_H160 zenon_Hbc zenon_H93 zenon_H94 zenon_H68 zenon_H77 zenon_H82 zenon_H99 zenon_H18a zenon_H100 zenon_Hfa zenon_H195 zenon_H163 zenon_H13c zenon_H141 zenon_H196 zenon_H12e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H24e zenon_H192 zenon_H19a zenon_H18d zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H1bb zenon_H104 zenon_H164 zenon_H131 zenon_H13f zenon_H1c6 zenon_H159 zenon_H24 zenon_H284 zenon_H25e zenon_H281 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1a2 zenon_H1cb zenon_H16a zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H4e zenon_H1cf zenon_H283 zenon_H48 zenon_H13a zenon_H38 zenon_Ha9 zenon_Hb6 zenon_H139 zenon_H1d8 zenon_H23c zenon_He4 zenon_H9f zenon_Ha0 zenon_Hca.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.22/22.34 apply (zenon_L41_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.34 apply (zenon_L541_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.34 apply (zenon_L1149_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.34 apply (zenon_L25_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.34 apply (zenon_L69_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.34 apply (zenon_L1718_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.34 apply (zenon_L1719_); trivial.
% 22.22/22.34 apply (zenon_L1236_); trivial.
% 22.22/22.34 apply (zenon_L1720_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.34 apply (zenon_L1723_); trivial.
% 22.22/22.34 apply (zenon_L246_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.22/22.34 apply (zenon_L1730_); trivial.
% 22.22/22.34 apply (zenon_L1510_); trivial.
% 22.22/22.34 apply (zenon_L555_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.22/22.34 apply (zenon_L41_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.34 apply (zenon_L541_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.34 apply (zenon_L541_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.34 apply (zenon_L25_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.22/22.34 apply (zenon_L316_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.34 apply (zenon_L69_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.34 apply (zenon_L1718_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.34 apply (zenon_L171_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.34 apply (zenon_L900_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.34 apply (zenon_L1244_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.34 apply (zenon_L55_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.34 apply (zenon_L825_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.34 apply (zenon_L152_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.34 apply (zenon_L883_); trivial.
% 22.22/22.34 apply (zenon_L158_); trivial.
% 22.22/22.34 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.34 apply (zenon_L59_); trivial.
% 22.22/22.34 apply (zenon_L228_); trivial.
% 22.22/22.34 apply (zenon_L1236_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.22/22.34 apply (zenon_L1242_); trivial.
% 22.22/22.34 apply (zenon_L828_); trivial.
% 22.22/22.34 apply (zenon_L1720_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.34 apply (zenon_L1723_); trivial.
% 22.22/22.34 apply (zenon_L246_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.34 apply (zenon_L253_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.34 apply (zenon_L253_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.34 apply (zenon_L24_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.34 apply (zenon_L900_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.34 apply (zenon_L1731_); trivial.
% 22.22/22.34 apply (zenon_L1733_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.34 apply (zenon_L227_); trivial.
% 22.22/22.34 apply (zenon_L228_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.34 apply (zenon_L214_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.34 apply (zenon_L122_); trivial.
% 22.22/22.34 apply (zenon_L167_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.34 apply (zenon_L217_); trivial.
% 22.22/22.34 apply (zenon_L1720_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.34 apply (zenon_L1729_); trivial.
% 22.22/22.34 apply (zenon_L246_); trivial.
% 22.22/22.34 apply (zenon_L1510_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.22/22.34 apply (zenon_L41_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.34 apply (zenon_L541_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.34 apply (zenon_L541_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.34 apply (zenon_L25_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.22/22.34 apply (zenon_L65_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.34 apply (zenon_L69_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.34 apply (zenon_L1718_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.34 apply (zenon_L171_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.34 apply (zenon_L900_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.34 apply (zenon_L1244_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.34 apply (zenon_L55_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.34 apply (zenon_L887_); trivial.
% 22.22/22.34 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.34 apply (zenon_L59_); trivial.
% 22.22/22.34 apply (zenon_L228_); trivial.
% 22.22/22.34 apply (zenon_L1236_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.22/22.34 apply (zenon_L1242_); trivial.
% 22.22/22.34 apply (zenon_L828_); trivial.
% 22.22/22.34 apply (zenon_L1720_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.34 apply (zenon_L1284_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.34 apply (zenon_L1722_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.34 apply (zenon_L69_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.34 apply (zenon_L1718_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.34 apply (zenon_L184_); trivial.
% 22.22/22.34 apply (zenon_L414_); trivial.
% 22.22/22.34 apply (zenon_L211_); trivial.
% 22.22/22.34 apply (zenon_L246_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.34 apply (zenon_L253_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.34 apply (zenon_L253_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.34 apply (zenon_L24_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.34 apply (zenon_L46_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.34 apply (zenon_L1700_); trivial.
% 22.22/22.34 apply (zenon_L1733_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.34 apply (zenon_L227_); trivial.
% 22.22/22.34 apply (zenon_L228_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.34 apply (zenon_L214_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.34 apply (zenon_L122_); trivial.
% 22.22/22.34 apply (zenon_L165_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.34 apply (zenon_L217_); trivial.
% 22.22/22.34 apply (zenon_L1720_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.34 apply (zenon_L1284_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.34 apply (zenon_L1722_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.34 apply (zenon_L217_); trivial.
% 22.22/22.34 apply (zenon_L211_); trivial.
% 22.22/22.34 apply (zenon_L246_); trivial.
% 22.22/22.34 apply (zenon_L870_); trivial.
% 22.22/22.34 apply (zenon_L237_); trivial.
% 22.22/22.34 (* end of lemma zenon_L1734_ *)
% 22.22/22.34 assert (zenon_L1735_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.22/22.34 do 0 intro. intros zenon_H1a8 zenon_H77 zenon_H3d zenon_H1b3 zenon_H189 zenon_H93 zenon_Ha9 zenon_Hac.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.34 apply (zenon_L214_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.34 exact (zenon_H1b3 zenon_Hef).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.34 apply (zenon_L439_); trivial.
% 22.22/22.34 apply (zenon_L371_); trivial.
% 22.22/22.34 (* end of lemma zenon_L1735_ *)
% 22.22/22.34 assert (zenon_L1736_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.22/22.34 do 0 intro. intros zenon_Heb zenon_H7a zenon_H40 zenon_H73 zenon_H153 zenon_H1bb zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_H93 zenon_Hc4.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.34 exact (zenon_H7a zenon_H3c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.34 exact (zenon_H40 zenon_H3f).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.34 apply (zenon_L184_); trivial.
% 22.22/22.34 apply (zenon_L413_); trivial.
% 22.22/22.34 (* end of lemma zenon_L1736_ *)
% 22.22/22.34 assert (zenon_L1737_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> False).
% 22.22/22.34 do 0 intro. intros zenon_H169 zenon_Hb6 zenon_H9f zenon_H1a8 zenon_Hac zenon_Ha9 zenon_H189 zenon_H77 zenon_H73 zenon_H48 zenon_H15d zenon_H7a zenon_H40 zenon_H1bb zenon_Hc4 zenon_H93 zenon_H129 zenon_H20f zenon_H38 zenon_H1b4 zenon_Heb.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.22/22.34 apply (zenon_L1589_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.34 apply (zenon_L253_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.34 apply (zenon_L1735_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.34 apply (zenon_L1736_); trivial.
% 22.22/22.34 apply (zenon_L246_); trivial.
% 22.22/22.34 (* end of lemma zenon_L1737_ *)
% 22.22/22.34 assert (zenon_L1738_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (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)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((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 (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 22.22/22.34 do 0 intro. intros zenon_H169 zenon_Ha0 zenon_H9f zenon_H1ec zenon_Ha5 zenon_H186 zenon_He3 zenon_H40 zenon_H156 zenon_H159 zenon_H158 zenon_H4e zenon_He2 zenon_Hac zenon_H55 zenon_H38 zenon_H1fb zenon_H1d5 zenon_H94 zenon_H125 zenon_H179 zenon_H5d zenon_Hfa zenon_H201 zenon_Hf0 zenon_H18d zenon_H141 zenon_H2c zenon_H117 zenon_H195 zenon_Hb6 zenon_Heb zenon_H12e zenon_H20f zenon_H1bb zenon_Hc4 zenon_H1cb zenon_H18a zenon_H192 zenon_H13a zenon_H1c3 zenon_H1b4 zenon_Hf5 zenon_H25e zenon_He4 zenon_H1b7 zenon_H1d8 zenon_H15d zenon_H100 zenon_H16a zenon_H1a2 zenon_H1cd zenon_H13f zenon_H48 zenon_H13b zenon_H82 zenon_H77 zenon_H173 zenon_H183 zenon_H93 zenon_H129 zenon_H177 zenon_Ha9 zenon_H68 zenon_H196 zenon_H139 zenon_H1fe.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.22/22.34 apply (zenon_L41_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.22/22.34 apply (zenon_L309_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.22/22.34 apply (zenon_L1594_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.34 apply (zenon_L1597_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.34 apply (zenon_L1597_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.34 apply (zenon_L297_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.34 exact (zenon_He3 zenon_He7).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.22/22.34 apply (zenon_L65_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.22/22.34 exact (zenon_He3 zenon_He7).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.22/22.34 apply (zenon_L1612_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.22/22.34 apply (zenon_L111_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.22/22.34 apply (zenon_L1669_); trivial.
% 22.22/22.34 apply (zenon_L218_); trivial.
% 22.22/22.34 apply (zenon_L1689_); trivial.
% 22.22/22.34 apply (zenon_L90_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.34 apply (zenon_L306_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.34 apply (zenon_L1247_); trivial.
% 22.22/22.34 apply (zenon_L167_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.34 apply (zenon_L1613_); trivial.
% 22.22/22.34 apply (zenon_L456_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.34 apply (zenon_L1605_); trivial.
% 22.22/22.34 apply (zenon_L246_); trivial.
% 22.22/22.34 apply (zenon_L1113_); trivial.
% 22.22/22.34 (* end of lemma zenon_L1738_ *)
% 22.22/22.34 assert (zenon_L1739_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.22/22.34 do 0 intro. intros zenon_Hc0 zenon_H13c zenon_H9f zenon_H24 zenon_H159 zenon_H163 zenon_H195.
% 22.22/22.34 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.22/22.34 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.34 apply (zenon_L900_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.34 apply (zenon_L617_); trivial.
% 22.22/22.34 apply (zenon_L172_); trivial.
% 22.22/22.34 (* end of lemma zenon_L1739_ *)
% 22.22/22.34 assert (zenon_L1740_ : ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (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) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 22.22/22.34 do 0 intro. intros zenon_H38 zenon_H1fb zenon_H26d zenon_H179 zenon_H159 zenon_H33 zenon_H11a zenon_H121 zenon_H288 zenon_H164 zenon_H212 zenon_H1fe zenon_Hb2 zenon_H13f zenon_Hfa zenon_H140 zenon_Hbc zenon_He4 zenon_H231 zenon_H104 zenon_H18a zenon_H1f1 zenon_H183 zenon_H234 zenon_H82 zenon_H23c zenon_H26a zenon_H111 zenon_H1d8 zenon_H2c zenon_H177 zenon_H125 zenon_H283 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H158 zenon_H13a zenon_H13e zenon_H55 zenon_H6f zenon_H266 zenon_H1ef zenon_H139 zenon_H16a zenon_H68 zenon_H25b zenon_Hf5 zenon_H27e zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H13c zenon_H186 zenon_H190 zenon_H156 zenon_H7d zenon_H1b7 zenon_H24e zenon_H24 zenon_H189 zenon_H93 zenon_H1c6 zenon_H48 zenon_H201 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H1cb zenon_H18d zenon_H192 zenon_H163 zenon_H12e zenon_H1d5 zenon_H1a2 zenon_Ha9 zenon_H1c2 zenon_H1cd zenon_H1cf zenon_H196 zenon_H141 zenon_H1a8 zenon_H100 zenon_He2 zenon_Hf0 zenon_H13b zenon_Ha0 zenon_H109 zenon_H77 zenon_H9f zenon_Hb6.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.22/22.34 apply (zenon_L2_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.22/22.34 apply (zenon_L1146_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.22/22.34 apply (zenon_L1147_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.22/22.34 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.22/22.34 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.22/22.34 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.22/22.34 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.22/22.34 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.22/22.34 apply (zenon_L1691_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.34 apply (zenon_L253_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.34 apply (zenon_L253_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.34 apply (zenon_L25_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.34 apply (zenon_L24_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.34 apply (zenon_L1697_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.34 apply (zenon_L214_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.34 apply (zenon_L100_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.34 apply (zenon_L439_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.34 apply (zenon_L900_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.34 apply (zenon_L436_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.34 apply (zenon_L55_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.34 apply (zenon_L359_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.34 apply (zenon_L152_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.22/22.34 apply (zenon_L1698_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.22/22.34 apply (zenon_L1403_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.22/22.34 apply (zenon_L255_); trivial.
% 22.22/22.34 apply (zenon_L1444_); trivial.
% 22.22/22.34 apply (zenon_L1162_); trivial.
% 22.22/22.34 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.34 apply (zenon_L228_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.22/22.34 apply (zenon_L65_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.34 apply (zenon_L24_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.34 apply (zenon_L1697_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.34 apply (zenon_L62_); trivial.
% 22.22/22.34 apply (zenon_L228_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.22/22.34 apply (zenon_L1242_); trivial.
% 22.22/22.34 apply (zenon_L1689_); trivial.
% 22.22/22.34 apply (zenon_L663_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.34 apply (zenon_L214_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.34 apply (zenon_L1247_); trivial.
% 22.22/22.34 apply (zenon_L167_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.34 apply (zenon_L1698_); trivial.
% 22.22/22.34 apply (zenon_L456_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.34 apply (zenon_L1284_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.34 apply (zenon_L1523_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.34 apply (zenon_L1530_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.34 apply (zenon_L297_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.34 apply (zenon_L1523_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.34 apply (zenon_L1522_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.34 apply (zenon_L184_); trivial.
% 22.22/22.34 apply (zenon_L414_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.34 apply (zenon_L1525_); trivial.
% 22.22/22.34 apply (zenon_L663_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.34 apply (zenon_L94_); trivial.
% 22.22/22.34 apply (zenon_L167_); trivial.
% 22.22/22.34 apply (zenon_L456_); trivial.
% 22.22/22.34 apply (zenon_L246_); trivial.
% 22.22/22.34 apply (zenon_L555_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.22/22.34 apply (zenon_L1691_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.34 apply (zenon_L253_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.34 apply (zenon_L253_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.34 apply (zenon_L297_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.34 apply (zenon_L900_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.34 apply (zenon_L1700_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.34 apply (zenon_L55_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.34 apply (zenon_L359_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.34 apply (zenon_L152_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.22/22.34 apply (zenon_L1706_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.22/22.34 apply (zenon_L1403_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.22/22.34 apply (zenon_L255_); trivial.
% 22.22/22.34 apply (zenon_L218_); trivial.
% 22.22/22.34 apply (zenon_L886_); trivial.
% 22.22/22.34 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.22/22.34 apply (zenon_L65_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.34 apply (zenon_L24_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.34 apply (zenon_L900_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.34 apply (zenon_L162_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.34 apply (zenon_L55_); trivial.
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.34 exact (zenon_H159 zenon_H10c).
% 22.22/22.34 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.35 apply (zenon_L359_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.35 apply (zenon_L152_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.22/22.35 apply (zenon_L1706_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.22/22.35 apply (zenon_L1707_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.22/22.35 apply (zenon_L255_); trivial.
% 22.22/22.35 apply (zenon_L218_); trivial.
% 22.22/22.35 apply (zenon_L886_); trivial.
% 22.22/22.35 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.35 apply (zenon_L62_); trivial.
% 22.22/22.35 apply (zenon_L228_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.22/22.35 apply (zenon_L1242_); trivial.
% 22.22/22.35 apply (zenon_L1689_); trivial.
% 22.22/22.35 apply (zenon_L663_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.35 apply (zenon_L1709_); trivial.
% 22.22/22.35 apply (zenon_L211_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.35 apply (zenon_L1284_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.22/22.35 apply (zenon_L738_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.22/22.35 apply (zenon_L492_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.22/22.35 apply (zenon_L1710_); trivial.
% 22.22/22.35 apply (zenon_L1276_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.35 apply (zenon_L297_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.35 apply (zenon_L1711_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.22/22.35 apply (zenon_L317_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.35 apply (zenon_L69_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.35 apply (zenon_L1708_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.35 apply (zenon_L184_); trivial.
% 22.22/22.35 apply (zenon_L1236_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.35 apply (zenon_L69_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.35 apply (zenon_L1528_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.35 apply (zenon_L117_); trivial.
% 22.22/22.35 apply (zenon_L414_); trivial.
% 22.22/22.35 apply (zenon_L802_); trivial.
% 22.22/22.35 apply (zenon_L663_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.35 apply (zenon_L1701_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.35 apply (zenon_L94_); trivial.
% 22.22/22.35 apply (zenon_L167_); trivial.
% 22.22/22.35 apply (zenon_L211_); trivial.
% 22.22/22.35 apply (zenon_L246_); trivial.
% 22.22/22.35 apply (zenon_L555_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.22/22.35 apply (zenon_L1712_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.22/22.35 apply (zenon_L11_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.22/22.35 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 22.22/22.35 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 22.22/22.35 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.22/22.35 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.22/22.35 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.22/22.35 apply (zenon_L1716_); trivial.
% 22.22/22.35 apply (zenon_L1716_); trivial.
% 22.22/22.35 apply (zenon_L1221_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.22/22.35 apply (zenon_L1717_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.22/22.35 apply (zenon_L1208_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.22/22.35 apply (zenon_L1209_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.22/22.35 apply (zenon_L37_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.22/22.35 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.22/22.35 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.22/22.35 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.22/22.35 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.22/22.35 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.22/22.35 apply (zenon_L1734_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.22/22.35 apply (zenon_L1353_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.22/22.35 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.22/22.35 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.22/22.35 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.22/22.35 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.22/22.35 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.22/22.35 apply (zenon_L1737_); trivial.
% 22.22/22.35 apply (zenon_L1737_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.22/22.35 apply (zenon_L1738_); trivial.
% 22.22/22.35 apply (zenon_L1738_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.22/22.35 apply (zenon_L1739_); trivial.
% 22.22/22.35 apply (zenon_L51_); trivial.
% 22.22/22.35 apply (zenon_L1212_); trivial.
% 22.22/22.35 (* end of lemma zenon_L1740_ *)
% 22.22/22.35 assert (zenon_L1741_ : ((op (e1) (e3)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (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) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 22.22/22.35 do 0 intro. intros zenon_Ha5 zenon_H14c zenon_H54 zenon_H120 zenon_H4d zenon_H34 zenon_H181 zenon_H38 zenon_H1fb zenon_H26d zenon_H179 zenon_H159 zenon_H33 zenon_H11a zenon_H121 zenon_H288 zenon_H164 zenon_H212 zenon_H1fe zenon_Hb2 zenon_H13f zenon_Hfa zenon_H140 zenon_Hbc zenon_He4 zenon_H231 zenon_H104 zenon_H18a zenon_H1f1 zenon_H183 zenon_H234 zenon_H82 zenon_H23c zenon_H26a zenon_H111 zenon_H1d8 zenon_H2c zenon_H177 zenon_H125 zenon_H283 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H158 zenon_H13a zenon_H13e zenon_H55 zenon_H6f zenon_H266 zenon_H1ef zenon_H139 zenon_H16a zenon_H68 zenon_H25b zenon_Hf5 zenon_H27e zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H13c zenon_H186 zenon_H190 zenon_H156 zenon_H7d zenon_H1b7 zenon_H24e zenon_H24 zenon_H189 zenon_H1c6 zenon_H48 zenon_H201 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H1cb zenon_H18d zenon_H192 zenon_H163 zenon_H12e zenon_H1d5 zenon_H1a2 zenon_Ha9 zenon_H1c2 zenon_H1cd zenon_H1cf zenon_H196 zenon_H141 zenon_H1a8 zenon_H100 zenon_He2 zenon_Hf0 zenon_H13b zenon_Ha0 zenon_H109 zenon_H77 zenon_H9f zenon_Hb6.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.22/22.35 apply (zenon_L30_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.22/22.35 apply (zenon_L1090_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.22/22.35 apply (zenon_L1684_); trivial.
% 22.22/22.35 apply (zenon_L1740_); trivial.
% 22.22/22.35 (* end of lemma zenon_L1741_ *)
% 22.22/22.35 assert (zenon_L1742_ : ((op (e1) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.22/22.35 do 0 intro. intros zenon_Hef zenon_He7 zenon_Hb6 zenon_H9f zenon_H77 zenon_H109 zenon_Ha0 zenon_H13b zenon_Hf0 zenon_He2 zenon_H100 zenon_H1a8 zenon_H141 zenon_H1cf zenon_H1cd zenon_H1c2 zenon_Ha9 zenon_H1a2 zenon_H1d5 zenon_H12e zenon_H163 zenon_H192 zenon_H18d zenon_H1cb zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H201 zenon_H48 zenon_H1c6 zenon_H189 zenon_H24 zenon_H24e zenon_H1b7 zenon_H7d zenon_H156 zenon_H190 zenon_H186 zenon_H13c zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H195 zenon_H27e zenon_Hf5 zenon_H25b zenon_H68 zenon_H16a zenon_H139 zenon_H1ef zenon_H266 zenon_H6f zenon_H55 zenon_H13e zenon_H13a zenon_H158 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H283 zenon_H125 zenon_H177 zenon_H2c zenon_H1d8 zenon_H111 zenon_H26a zenon_H23c zenon_H82 zenon_H234 zenon_H183 zenon_H1f1 zenon_H18a zenon_H104 zenon_H231 zenon_He4 zenon_Hbc zenon_H140 zenon_Hfa zenon_H13f zenon_Hb2 zenon_H1fe zenon_H212 zenon_H164 zenon_H288 zenon_H121 zenon_H11a zenon_H33 zenon_H159 zenon_H179 zenon_H26d zenon_H1fb zenon_H181 zenon_H34 zenon_H4d zenon_H120 zenon_H54 zenon_H196 zenon_H38.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.35 apply (zenon_L900_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.35 exact (zenon_H159 zenon_H10c).
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.35 apply (zenon_L1244_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.35 apply (zenon_L217_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.35 apply (zenon_L929_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.35 apply (zenon_L1741_); trivial.
% 22.22/22.35 apply (zenon_L1162_); trivial.
% 22.22/22.35 (* end of lemma zenon_L1742_ *)
% 22.22/22.35 assert (zenon_L1743_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e0) (e0)) = (e2)) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 22.22/22.35 do 0 intro. intros zenon_H36 zenon_H67 zenon_Hcb zenon_H209 zenon_He7 zenon_H3d zenon_H34 zenon_H159 zenon_H54 zenon_H181 zenon_H120 zenon_Hb2 zenon_H24e zenon_H1f1 zenon_H23c zenon_H26a zenon_H104 zenon_H231 zenon_H2c zenon_H109 zenon_H11a zenon_H1c2 zenon_H1cd zenon_H111 zenon_He2 zenon_H12e zenon_H100 zenon_H22d zenon_H191 zenon_H125 zenon_H141 zenon_H201 zenon_H164 zenon_H212 zenon_Hbc zenon_H179 zenon_H288 zenon_H192 zenon_H183 zenon_H18a zenon_Hfa zenon_H13b zenon_H1a8 zenon_H24 zenon_H121 zenon_H33 zenon_Hf0 zenon_H1d5 zenon_H1fe zenon_H82 zenon_H177 zenon_H1d8 zenon_H234 zenon_H7d zenon_He4 zenon_Hc4 zenon_H26d zenon_H38 zenon_H4e zenon_H13f zenon_H77 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H140 zenon_H9f zenon_Ha0.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.35 apply (zenon_L69_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.35 apply (zenon_L214_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.35 apply (zenon_L186_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.35 apply (zenon_L1647_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.35 apply (zenon_L900_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.35 exact (zenon_H159 zenon_H10c).
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.35 apply (zenon_L1683_); trivial.
% 22.22/22.35 apply (zenon_L1657_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.35 apply (zenon_L214_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.35 apply (zenon_L1742_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.35 apply (zenon_L1661_); trivial.
% 22.22/22.35 apply (zenon_L965_); trivial.
% 22.22/22.35 apply (zenon_L1627_); trivial.
% 22.22/22.35 (* end of lemma zenon_L1743_ *)
% 22.22/22.35 assert (zenon_L1744_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> False).
% 22.22/22.35 do 0 intro. intros zenon_H201 zenon_H1d8 zenon_H3d zenon_H4e zenon_H3c zenon_H48 zenon_H14c zenon_H1a2 zenon_Ha9 zenon_H66 zenon_H186 zenon_Ha5 zenon_H190 zenon_H10d zenon_Hb6.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.22/22.35 apply (zenon_L738_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.22/22.35 apply (zenon_L14_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.22/22.35 apply (zenon_L255_); trivial.
% 22.22/22.35 apply (zenon_L512_); trivial.
% 22.22/22.35 (* end of lemma zenon_L1744_ *)
% 22.22/22.35 assert (zenon_L1745_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((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))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.22/22.35 do 0 intro. intros zenon_H24 zenon_Hf3 zenon_H13a zenon_H11a zenon_H3d zenon_H2c zenon_H111 zenon_H1f1 zenon_H23c zenon_He4 zenon_H26a zenon_H1d8 zenon_H82 zenon_H1b7 zenon_H1cd zenon_H7d zenon_H24e zenon_H104 zenon_H162 zenon_H19a zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H139 zenon_H1c6 zenon_H25b zenon_Hf5 zenon_H27e zenon_H189 zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H18a zenon_H191 zenon_Hf0 zenon_H38 zenon_H196 zenon_H201 zenon_H1a2 zenon_H54 zenon_H141 zenon_H186 zenon_H16a zenon_H5c zenon_H195 zenon_H117 zenon_Hb6 zenon_Ha0 zenon_H13f zenon_H1c2 zenon_H121 zenon_H33 zenon_H9f zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_H1a3 zenon_H1c3 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H1cb zenon_H109 zenon_H1c7.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.35 apply (zenon_L900_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.35 apply (zenon_L1306_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.35 apply (zenon_L162_); trivial.
% 22.22/22.35 apply (zenon_L1541_); trivial.
% 22.22/22.35 (* end of lemma zenon_L1745_ *)
% 22.22/22.35 assert (zenon_L1746_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (((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 (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.22/22.35 do 0 intro. intros zenon_Hf5 zenon_H100 zenon_H1a8 zenon_H1d5 zenon_Hfa zenon_H13a zenon_H11a zenon_H2c zenon_H111 zenon_H1f1 zenon_H23c zenon_He4 zenon_H26a zenon_H1d8 zenon_H82 zenon_H1b7 zenon_H1cd zenon_H7d zenon_H24e zenon_H104 zenon_H162 zenon_H19a zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H6f zenon_H266 zenon_H1ef zenon_H139 zenon_H25b zenon_H27e zenon_H189 zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H18a zenon_H191 zenon_Hf0 zenon_H16a zenon_H195 zenon_H117 zenon_H13f zenon_H1c2 zenon_H34 zenon_H183 zenon_H1c3 zenon_H18d zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1cb zenon_H109 zenon_He2 zenon_H177 zenon_H125 zenon_Hb2 zenon_H1fe zenon_H212 zenon_H164 zenon_H13b zenon_H288 zenon_H179 zenon_Hca zenon_H36 zenon_Hc2 zenon_H12e zenon_Hcb zenon_H234 zenon_H231 zenon_H192 zenon_Hbc zenon_H140 zenon_H1c7 zenon_H1a2 zenon_Ha9 zenon_H186 zenon_H190 zenon_H1a3 zenon_H159 zenon_H3d zenon_Hb6 zenon_H1c6 zenon_H196 zenon_H201 zenon_H77 zenon_H48 zenon_H121 zenon_H33 zenon_H9f zenon_Hc4 zenon_Ha0 zenon_H54 zenon_H141 zenon_H24 zenon_H13c zenon_H38 zenon_H68.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.35 apply (zenon_L297_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.35 apply (zenon_L69_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.35 apply (zenon_L1415_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.35 apply (zenon_L1416_); trivial.
% 22.22/22.35 apply (zenon_L1542_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.35 apply (zenon_L69_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.35 apply (zenon_L1469_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.35 apply (zenon_L117_); trivial.
% 22.22/22.35 apply (zenon_L1745_); trivial.
% 22.22/22.35 apply (zenon_L663_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.35 apply (zenon_L214_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.35 apply (zenon_L1472_); trivial.
% 22.22/22.35 apply (zenon_L165_); trivial.
% 22.22/22.35 (* end of lemma zenon_L1746_ *)
% 22.22/22.35 assert (zenon_L1747_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((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)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((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 (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.22/22.35 do 0 intro. intros zenon_H139 zenon_H2c zenon_H162 zenon_H1cd zenon_H7d zenon_H24e zenon_H192 zenon_H183 zenon_Ha0 zenon_Ha9 zenon_H3d zenon_Hb6 zenon_H190 zenon_H1c3 zenon_H1cf zenon_He4 zenon_H23c zenon_H4e zenon_H201 zenon_H13f zenon_H1f1 zenon_H1b7 zenon_H117 zenon_H109 zenon_H6f zenon_H14c zenon_H13a zenon_H186 zenon_H1ef zenon_H65 zenon_H18a zenon_H34 zenon_H1d8 zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_H181 zenon_H1a2 zenon_Hc4 zenon_H104 zenon_H1c7 zenon_H33 zenon_H121 zenon_H18d zenon_H48 zenon_H5d zenon_H3c zenon_H1cb zenon_H38 zenon_H68.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.35 apply (zenon_L180_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.35 apply (zenon_L1701_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.22/22.35 apply (zenon_L1505_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.22/22.35 apply (zenon_L55_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.22/22.35 apply (zenon_L193_); trivial.
% 22.22/22.35 apply (zenon_L156_); trivial.
% 22.22/22.35 apply (zenon_L165_); trivial.
% 22.22/22.35 (* end of lemma zenon_L1747_ *)
% 22.22/22.35 assert (zenon_L1748_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.22/22.35 do 0 intro. intros zenon_H139 zenon_H2c zenon_H65 zenon_H181 zenon_H1bb zenon_H162 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_Hc4 zenon_H192 zenon_H183 zenon_H153 zenon_H77 zenon_H38 zenon_H68.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.35 apply (zenon_L180_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.35 apply (zenon_L1701_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.35 apply (zenon_L94_); trivial.
% 22.22/22.35 apply (zenon_L165_); trivial.
% 22.22/22.35 (* end of lemma zenon_L1748_ *)
% 22.22/22.35 assert (zenon_L1749_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((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 (e3) (e3)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e2) (e0)) = (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)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.22/22.35 do 0 intro. intros zenon_H15d zenon_H24 zenon_H1cb zenon_H3c zenon_H5d zenon_H18d zenon_H121 zenon_H33 zenon_H104 zenon_H1a2 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1d8 zenon_H18a zenon_H1ef zenon_H186 zenon_H13a zenon_H14c zenon_H6f zenon_H109 zenon_H117 zenon_H1f1 zenon_H13f zenon_H201 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H1c3 zenon_H190 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H68 zenon_H77 zenon_H183 zenon_H192 zenon_Hc4 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H162 zenon_H1bb zenon_H181 zenon_H65 zenon_H2c zenon_H139 zenon_H38 zenon_H48.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.35 apply (zenon_L1475_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.35 apply (zenon_L1747_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.35 apply (zenon_L1748_); trivial.
% 22.22/22.35 apply (zenon_L246_); trivial.
% 22.22/22.35 (* end of lemma zenon_L1749_ *)
% 22.22/22.35 assert (zenon_L1750_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (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 (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((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)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> False).
% 22.22/22.35 do 0 intro. intros zenon_Hcb zenon_H162 zenon_H24e zenon_H1cd zenon_H7d zenon_H192 zenon_H15d zenon_H2c zenon_H65 zenon_H77 zenon_Ha9 zenon_H183 zenon_H38 zenon_H121 zenon_H13a zenon_Hb6 zenon_H23c zenon_H201 zenon_H6f zenon_Ha0 zenon_H18d zenon_H1cb zenon_H5d zenon_H117 zenon_H190 zenon_H13f zenon_H109 zenon_H1b7 zenon_H1f1 zenon_He4 zenon_H33 zenon_H186 zenon_H1ef zenon_H1bb zenon_H18a zenon_H1cf zenon_H1b4 zenon_H20f zenon_H129 zenon_H26a zenon_Hf5 zenon_H195 zenon_H25b zenon_H1a2 zenon_H1c3 zenon_H34 zenon_H68 zenon_H111 zenon_H1c7 zenon_H104 zenon_H14c zenon_H48 zenon_H4e zenon_H1d8 zenon_H139 zenon_H3c zenon_H24 zenon_Hc2.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.22/22.35 apply (zenon_L1476_); trivial.
% 22.22/22.35 apply (zenon_L1476_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.22/22.35 apply (zenon_L1749_); trivial.
% 22.22/22.35 apply (zenon_L1749_); trivial.
% 22.22/22.35 (* end of lemma zenon_L1750_ *)
% 22.22/22.35 assert (zenon_L1751_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.22/22.35 do 0 intro. intros zenon_Hfa zenon_H3c zenon_H6e zenon_H173 zenon_H1a3 zenon_Ha0 zenon_H14c zenon_Ha9 zenon_Hb6 zenon_H1a2 zenon_H1cf zenon_H153 zenon_H77 zenon_H186 zenon_H1ef zenon_H65 zenon_H1bb zenon_H162 zenon_H120 zenon_H1cb zenon_Hc4.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.35 apply (zenon_L24_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.35 apply (zenon_L226_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.35 apply (zenon_L1170_); trivial.
% 22.22/22.35 apply (zenon_L1322_); trivial.
% 22.22/22.35 (* end of lemma zenon_L1751_ *)
% 22.22/22.35 assert (zenon_L1752_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.22/22.35 do 0 intro. intros zenon_H139 zenon_H2c zenon_Hc4 zenon_H1cb zenon_H120 zenon_H162 zenon_H1bb zenon_H65 zenon_H1ef zenon_H186 zenon_H1cf zenon_H1a2 zenon_Hb6 zenon_Ha9 zenon_H14c zenon_Ha0 zenon_H1a3 zenon_H173 zenon_H3c zenon_Hfa zenon_H153 zenon_H77 zenon_H38 zenon_H68.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.35 apply (zenon_L180_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.35 apply (zenon_L1751_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.35 apply (zenon_L94_); trivial.
% 22.22/22.35 apply (zenon_L165_); trivial.
% 22.22/22.35 (* end of lemma zenon_L1752_ *)
% 22.22/22.35 assert (zenon_L1753_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (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) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (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 (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((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)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.22/22.35 do 0 intro. intros zenon_H15d zenon_H24 zenon_H1d8 zenon_Hc2 zenon_Hcb zenon_H183 zenon_H1b7 zenon_H129 zenon_H1b4 zenon_H104 zenon_Hbc zenon_H231 zenon_H121 zenon_H34 zenon_H18a zenon_H13a zenon_H33 zenon_H6f zenon_H109 zenon_H117 zenon_H1f1 zenon_H13f zenon_H201 zenon_H4e zenon_H23c zenon_He4 zenon_H1c3 zenon_H26a zenon_H190 zenon_H195 zenon_H20f zenon_Hf5 zenon_H25b zenon_H18d zenon_H5d zenon_H68 zenon_H77 zenon_Hfa zenon_H3c zenon_H173 zenon_H1a3 zenon_Ha0 zenon_H14c zenon_Ha9 zenon_Hb6 zenon_H1a2 zenon_H1cf zenon_H186 zenon_H1ef zenon_H65 zenon_H1bb zenon_H162 zenon_H120 zenon_H1cb zenon_Hc4 zenon_H2c zenon_H139 zenon_H38 zenon_H48.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.35 apply (zenon_L1475_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.35 apply (zenon_L1325_); trivial.
% 22.22/22.35 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.35 apply (zenon_L1752_); trivial.
% 22.22/22.35 apply (zenon_L246_); trivial.
% 22.22/22.35 (* end of lemma zenon_L1753_ *)
% 22.22/22.35 assert (zenon_L1754_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((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 (e1) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((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)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((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))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((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 (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> False).
% 22.22/22.36 do 0 intro. intros zenon_Hca zenon_H231 zenon_Hbc zenon_H173 zenon_Hfa zenon_Hc2 zenon_H24 zenon_H3c zenon_H139 zenon_H1d8 zenon_H4e zenon_H48 zenon_H14c zenon_H104 zenon_H111 zenon_H68 zenon_H34 zenon_H1c3 zenon_H1a2 zenon_H25b zenon_H195 zenon_Hf5 zenon_H26a zenon_H129 zenon_H20f zenon_H1b4 zenon_H1cf zenon_H18a zenon_H1bb zenon_H1ef zenon_H186 zenon_H33 zenon_He4 zenon_H1f1 zenon_H1b7 zenon_H109 zenon_H13f zenon_H190 zenon_H117 zenon_H5d zenon_H1cb zenon_H18d zenon_Ha0 zenon_H6f zenon_H201 zenon_H23c zenon_Hb6 zenon_H13a zenon_H121 zenon_H38 zenon_H183 zenon_Ha9 zenon_H77 zenon_H65 zenon_H2c zenon_H15d zenon_H192 zenon_H7d zenon_H1cd zenon_H24e zenon_H162 zenon_Hcb.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.22/22.36 apply (zenon_L1750_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.22/22.36 apply (zenon_L1753_); trivial.
% 22.22/22.36 apply (zenon_L1753_); trivial.
% 22.22/22.36 apply (zenon_L434_); trivial.
% 22.22/22.36 (* end of lemma zenon_L1754_ *)
% 22.22/22.36 assert (zenon_L1755_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (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 (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((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 (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.22/22.36 do 0 intro. intros zenon_H16a zenon_Hcb zenon_H162 zenon_H24e zenon_H192 zenon_H15d zenon_H13a zenon_H23c zenon_H201 zenon_H6f zenon_H18d zenon_H5d zenon_H190 zenon_H13f zenon_H1b7 zenon_H1f1 zenon_He4 zenon_H186 zenon_H1ef zenon_H1bb zenon_H1cf zenon_H1b4 zenon_H129 zenon_H26a zenon_Hf5 zenon_H25b zenon_H1a2 zenon_H111 zenon_H4e zenon_H1d8 zenon_H139 zenon_Hc2 zenon_H173 zenon_Hca zenon_H171 zenon_He7 zenon_H1c3 zenon_Hc4 zenon_H1a3 zenon_H183 zenon_H68 zenon_H20f zenon_H33 zenon_H121 zenon_H1c2 zenon_H14c zenon_H104 zenon_H7d zenon_H18a zenon_H231 zenon_Hbc zenon_H1cd zenon_H1cb zenon_H212 zenon_H12e zenon_Hfa zenon_H77 zenon_H24 zenon_H38 zenon_H196 zenon_H117 zenon_H9f zenon_H2c zenon_Hb6 zenon_H53 zenon_Ha0 zenon_H48 zenon_H109 zenon_H34 zenon_H141 zenon_Ha9 zenon_H159 zenon_H3c zenon_H13c zenon_H195.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.22/22.36 apply (zenon_L1754_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.22/22.36 apply (zenon_L56_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.22/22.36 apply (zenon_L1411_); trivial.
% 22.22/22.36 apply (zenon_L1496_); trivial.
% 22.22/22.36 (* end of lemma zenon_L1755_ *)
% 22.22/22.36 assert (zenon_L1756_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (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 (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (~((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)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.22/22.36 do 0 intro. intros zenon_H82 zenon_H1f1 zenon_H13f zenon_H186 zenon_Hfa zenon_Hca zenon_H173 zenon_Hc2 zenon_H4e zenon_H111 zenon_H25b zenon_H26a zenon_H1ef zenon_H5d zenon_H18d zenon_H6f zenon_H201 zenon_H23c zenon_H15d zenon_H162 zenon_Hcb zenon_H68 zenon_H38 zenon_H77 zenon_H153 zenon_H121 zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_H33 zenon_H13a zenon_H1c7 zenon_H1a3 zenon_Hc4 zenon_H13b zenon_H179 zenon_H141 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_H1c3 zenon_H190 zenon_H1cf zenon_H196 zenon_H140 zenon_Hbc zenon_H183 zenon_H192 zenon_H231 zenon_H1cd zenon_H1a8 zenon_H55 zenon_H234 zenon_H1d8 zenon_He4 zenon_H73 zenon_H1b7 zenon_H24e zenon_H11a zenon_H109 zenon_Hf0 zenon_H1c2 zenon_H1d5 zenon_H12e zenon_H212 zenon_H18a zenon_H7d zenon_H104 zenon_H9f zenon_H117 zenon_H195 zenon_H159 zenon_H24 zenon_H13c zenon_H139 zenon_H2c zenon_H16a zenon_H100 zenon_Heb zenon_H191 zenon_H1a2 zenon_Hf5 zenon_H34 zenon_H48.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.36 apply (zenon_L1284_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.36 apply (zenon_L25_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.22/22.36 apply (zenon_L738_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.22/22.36 apply (zenon_L492_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.36 apply (zenon_L24_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.36 apply (zenon_L1405_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.36 apply (zenon_L1473_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.36 apply (zenon_L1409_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.36 apply (zenon_L1455_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.36 apply (zenon_L56_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.36 apply (zenon_L359_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.36 apply (zenon_L111_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.36 apply (zenon_L1755_); trivial.
% 22.22/22.36 apply (zenon_L1162_); trivial.
% 22.22/22.36 apply (zenon_L1484_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.36 apply (zenon_L1265_); trivial.
% 22.22/22.36 apply (zenon_L663_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.36 apply (zenon_L1409_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.36 apply (zenon_L94_); trivial.
% 22.22/22.36 apply (zenon_L165_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.36 apply (zenon_L1485_); trivial.
% 22.22/22.36 apply (zenon_L456_); trivial.
% 22.22/22.36 (* end of lemma zenon_L1756_ *)
% 22.22/22.36 assert (zenon_L1757_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (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)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.22/22.36 do 0 intro. intros zenon_H141 zenon_H68 zenon_He7 zenon_Hf0 zenon_Hc4 zenon_Hb6 zenon_H1c7 zenon_H1cf zenon_Ha0 zenon_Ha9 zenon_He4 zenon_H23c zenon_H190 zenon_H4e zenon_H201 zenon_H13f zenon_H77 zenon_H1f1 zenon_H1b7 zenon_H3c zenon_H5d zenon_H48 zenon_H18d zenon_H117 zenon_H109 zenon_H6f zenon_H33 zenon_H13a zenon_Hf7 zenon_H186 zenon_H1ef zenon_H65 zenon_H1bb zenon_H18a zenon_H34 zenon_H1cb zenon_H121 zenon_H133 zenon_H3d zenon_H1d8 zenon_H196 zenon_H38.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.36 apply (zenon_L27_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.36 apply (zenon_L929_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.36 apply (zenon_L1503_); trivial.
% 22.22/22.36 apply (zenon_L1162_); trivial.
% 22.22/22.36 (* end of lemma zenon_L1757_ *)
% 22.22/22.36 assert (zenon_L1758_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((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)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e0)) = (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)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.22/22.36 do 0 intro. intros zenon_H15d zenon_H24 zenon_H196 zenon_H117 zenon_H190 zenon_H186 zenon_H1a2 zenon_H195 zenon_Hf0 zenon_He7 zenon_H109 zenon_H34 zenon_H141 zenon_H1cf zenon_He4 zenon_H23c zenon_H4e zenon_H201 zenon_H13f zenon_H1f1 zenon_H1b7 zenon_H3c zenon_H5d zenon_H18d zenon_H6f zenon_H1ef zenon_H1bb zenon_H18a zenon_H1cb zenon_H1d8 zenon_H11a zenon_H13c zenon_H73 zenon_Hfa zenon_H68 zenon_H77 zenon_H121 zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_H33 zenon_H13a zenon_H1c7 zenon_H1a3 zenon_Hc4 zenon_H65 zenon_H2c zenon_H139 zenon_H38 zenon_H48.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.36 apply (zenon_L1475_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.36 apply (zenon_L180_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.36 apply (zenon_L214_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.36 apply (zenon_L24_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.36 apply (zenon_L1453_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.36 apply (zenon_L22_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.36 apply (zenon_L46_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.36 apply (zenon_L1248_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.36 apply (zenon_L1757_); trivial.
% 22.22/22.36 apply (zenon_L1452_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.22/22.36 apply (zenon_L55_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.22/22.36 apply (zenon_L193_); trivial.
% 22.22/22.36 apply (zenon_L156_); trivial.
% 22.22/22.36 apply (zenon_L165_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.36 apply (zenon_L1410_); trivial.
% 22.22/22.36 apply (zenon_L246_); trivial.
% 22.22/22.36 (* end of lemma zenon_L1758_ *)
% 22.22/22.36 assert (zenon_L1759_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((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 (e3) (e3)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e2) (e0)) = (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)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.22/22.36 do 0 intro. intros zenon_H15d zenon_H24 zenon_H196 zenon_H190 zenon_H1c3 zenon_H1cf zenon_He4 zenon_H23c zenon_H4e zenon_H201 zenon_H13f zenon_H1f1 zenon_H117 zenon_H109 zenon_H6f zenon_H13a zenon_H186 zenon_H1ef zenon_H18a zenon_H1d8 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1a2 zenon_H104 zenon_H33 zenon_H121 zenon_H18d zenon_H5d zenon_H3c zenon_H1cb zenon_Hf0 zenon_He7 zenon_H141 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H68 zenon_H77 zenon_H183 zenon_H192 zenon_Hc4 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H162 zenon_H1bb zenon_H181 zenon_H65 zenon_H2c zenon_H139 zenon_H38 zenon_H48.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.36 apply (zenon_L1475_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.36 apply (zenon_L1632_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.36 apply (zenon_L1748_); trivial.
% 22.22/22.36 apply (zenon_L246_); trivial.
% 22.22/22.36 (* end of lemma zenon_L1759_ *)
% 22.22/22.36 assert (zenon_L1760_ : (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((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 (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.22/22.36 do 0 intro. intros zenon_H1d8 zenon_H3d zenon_Hc2 zenon_Hcb zenon_H183 zenon_H1b7 zenon_H18d zenon_H48 zenon_H129 zenon_H1b4 zenon_H1bb zenon_H120 zenon_H133 zenon_H162 zenon_H104 zenon_Hbc zenon_H231 zenon_H121 zenon_H1cb zenon_H34 zenon_H18a zenon_H65 zenon_H1ef zenon_H13a zenon_H33 zenon_Hb6 zenon_H14c zenon_H6f zenon_H109 zenon_H117 zenon_H1f1 zenon_H13f zenon_H201 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H68 zenon_H1c3 zenon_H77 zenon_H26a zenon_Ha0 zenon_H1a3 zenon_H10d zenon_H190 zenon_H186 zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H195 zenon_H20f zenon_H3c zenon_H5d zenon_Hf5 zenon_H38 zenon_H25b zenon_Hc4.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.22/22.36 apply (zenon_L738_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.22/22.36 apply (zenon_L14_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.22/22.36 apply (zenon_L1321_); trivial.
% 22.22/22.36 apply (zenon_L1324_); trivial.
% 22.22/22.36 (* end of lemma zenon_L1760_ *)
% 22.22/22.36 assert (zenon_L1761_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e3)) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 22.22/22.36 do 0 intro. intros zenon_H201 zenon_Hc4 zenon_H120 zenon_H65 zenon_H1ef zenon_H186 zenon_H1cf zenon_Hb6 zenon_H133 zenon_Hcb zenon_H231 zenon_H162 zenon_H1cb zenon_H1bb zenon_H104 zenon_Hbc zenon_Hc2 zenon_Hca zenon_H183 zenon_H68 zenon_H34 zenon_Hac zenon_Ha9 zenon_H77 zenon_Hf7 zenon_H20f.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.22/22.36 apply (zenon_L1322_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.22/22.36 apply (zenon_L124_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.22/22.36 apply (zenon_L1547_); trivial.
% 22.22/22.36 apply (zenon_L1153_); trivial.
% 22.22/22.36 (* end of lemma zenon_L1761_ *)
% 22.22/22.36 assert (zenon_L1762_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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 (e1) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> (~((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 (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> False).
% 22.22/22.36 do 0 intro. intros zenon_H13c zenon_H20f zenon_H77 zenon_H34 zenon_H68 zenon_H183 zenon_Hca zenon_Hc2 zenon_Hbc zenon_H104 zenon_H1bb zenon_H1cb zenon_H162 zenon_H231 zenon_Hcb zenon_Hb6 zenon_H1cf zenon_H186 zenon_H1ef zenon_H65 zenon_H120 zenon_Hc4 zenon_H201 zenon_H141 zenon_H25b zenon_Hf5 zenon_H5d zenon_H3c zenon_H195 zenon_H1a2 zenon_H66 zenon_H190 zenon_H1a3 zenon_Ha0 zenon_H26a zenon_H1c3 zenon_He4 zenon_H23c zenon_H4e zenon_H13f zenon_H1f1 zenon_H117 zenon_H109 zenon_H6f zenon_H33 zenon_H13a zenon_H18a zenon_H121 zenon_H1b4 zenon_H129 zenon_H48 zenon_H18d zenon_H1b7 zenon_H3d zenon_H1d8 zenon_H196 zenon_H38 zenon_H11a zenon_H1c6 zenon_Ha9 zenon_Hf7.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.36 apply (zenon_L46_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.36 apply (zenon_L1248_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.36 apply (zenon_L55_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.36 apply (zenon_L1248_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.36 apply (zenon_L27_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.36 apply (zenon_L152_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.36 apply (zenon_L1760_); trivial.
% 22.22/22.36 apply (zenon_L1162_); trivial.
% 22.22/22.36 apply (zenon_L1761_); trivial.
% 22.22/22.36 apply (zenon_L299_); trivial.
% 22.22/22.36 (* end of lemma zenon_L1762_ *)
% 22.22/22.36 assert (zenon_L1763_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (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) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((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)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.22/22.36 do 0 intro. intros zenon_H15d zenon_H24 zenon_H1c6 zenon_H11a zenon_H1d8 zenon_H1b7 zenon_H18d zenon_H129 zenon_H1b4 zenon_H121 zenon_H18a zenon_H13a zenon_H33 zenon_H6f zenon_H117 zenon_H1f1 zenon_H13f zenon_H4e zenon_H23c zenon_He4 zenon_H1c3 zenon_H26a zenon_H190 zenon_H195 zenon_H5d zenon_Hf5 zenon_H25b zenon_H201 zenon_Hcb zenon_H231 zenon_H104 zenon_Hbc zenon_Hc2 zenon_Hca zenon_H183 zenon_H20f zenon_H13c zenon_H73 zenon_H68 zenon_H77 zenon_H141 zenon_H34 zenon_H109 zenon_He7 zenon_Hf0 zenon_Hc4 zenon_H1cb zenon_H120 zenon_H162 zenon_H1bb zenon_H65 zenon_H1ef zenon_H186 zenon_H1cf zenon_H1a2 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H1a3 zenon_H173 zenon_H3c zenon_Hfa zenon_H196 zenon_H2c zenon_H139 zenon_H38 zenon_H48.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.36 apply (zenon_L1475_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.36 apply (zenon_L180_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.36 apply (zenon_L214_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.36 apply (zenon_L24_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.36 apply (zenon_L1453_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.36 apply (zenon_L22_); trivial.
% 22.22/22.36 apply (zenon_L1762_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.22/22.36 apply (zenon_L55_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.22/22.36 apply (zenon_L193_); trivial.
% 22.22/22.36 apply (zenon_L156_); trivial.
% 22.22/22.36 apply (zenon_L165_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.36 apply (zenon_L180_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.36 apply (zenon_L359_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.36 apply (zenon_L929_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.36 apply (zenon_L1751_); trivial.
% 22.22/22.36 apply (zenon_L1162_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.36 apply (zenon_L94_); trivial.
% 22.22/22.36 apply (zenon_L165_); trivial.
% 22.22/22.36 apply (zenon_L246_); trivial.
% 22.22/22.36 (* end of lemma zenon_L1763_ *)
% 22.22/22.36 assert (zenon_L1764_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((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)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (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 (e3) (e0)) = (op (e3) (e3)))) -> (((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)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (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) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 22.22/22.36 do 0 intro. intros zenon_H24 zenon_H3c zenon_H139 zenon_Hfa zenon_H13a zenon_H1c6 zenon_Hca zenon_H1c3 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1cf zenon_H1ef zenon_H23c zenon_H201 zenon_H6f zenon_H18d zenon_H5d zenon_H48 zenon_H13f zenon_H1b7 zenon_H1f1 zenon_He4 zenon_H18a zenon_H26a zenon_Hf5 zenon_H25b zenon_H183 zenon_Hc2 zenon_Hbc zenon_H104 zenon_H1bb zenon_H1cb zenon_H120 zenon_H162 zenon_H231 zenon_Hcb zenon_H4e zenon_H1d8 zenon_H73 zenon_Hb6 zenon_H121 zenon_H1a3 zenon_H11a zenon_H33 zenon_H141 zenon_H38 zenon_H196 zenon_He7 zenon_Hf0 zenon_H68 zenon_Ha9 zenon_H1a2 zenon_H190 zenon_H186 zenon_Ha0 zenon_H195 zenon_H117 zenon_H34 zenon_H109 zenon_H13c zenon_H77 zenon_H65 zenon_H2c zenon_H173 zenon_H15d.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.22/22.36 apply (zenon_L1763_); trivial.
% 22.22/22.36 apply (zenon_L1763_); trivial.
% 22.22/22.36 (* end of lemma zenon_L1764_ *)
% 22.22/22.36 assert (zenon_L1765_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((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) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (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)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 22.22/22.36 do 0 intro. intros zenon_H36 zenon_H1c6 zenon_H26a zenon_Hf5 zenon_H25b zenon_Hbc zenon_H231 zenon_H173 zenon_H24 zenon_H3c zenon_H139 zenon_Hfa zenon_H13a zenon_H1d8 zenon_H48 zenon_H23c zenon_H201 zenon_H6f zenon_H18d zenon_H1cb zenon_H5d zenon_H4e zenon_H13f zenon_H1b7 zenon_H1f1 zenon_He4 zenon_H1ef zenon_H1bb zenon_H18a zenon_H1cf zenon_H73 zenon_Hb6 zenon_H121 zenon_H11a zenon_H33 zenon_H141 zenon_H196 zenon_He7 zenon_Hf0 zenon_H68 zenon_Ha9 zenon_H1a2 zenon_H190 zenon_H186 zenon_Ha0 zenon_H195 zenon_H117 zenon_H109 zenon_H13c zenon_H77 zenon_H65 zenon_H2c zenon_H15d zenon_H104 zenon_H1c3 zenon_H129 zenon_H20f zenon_H1b4 zenon_H192 zenon_H7d zenon_H1cd zenon_H24e zenon_H162 zenon_H183.
% 22.22/22.36 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.22/22.36 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.22/22.36 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.22/22.36 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.22/22.36 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.22/22.36 apply (zenon_L1758_); trivial.
% 22.22/22.36 apply (zenon_L1758_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.22/22.36 apply (zenon_L1759_); trivial.
% 22.22/22.36 apply (zenon_L1759_); trivial.
% 22.22/22.36 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.22/22.36 apply (zenon_L1764_); trivial.
% 22.22/22.36 apply (zenon_L434_); trivial.
% 22.22/22.36 (* end of lemma zenon_L1765_ *)
% 22.22/22.36 assert (zenon_L1766_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.22/22.36 do 0 intro. intros zenon_H125 zenon_H1d5 zenon_H66 zenon_H38 zenon_Hf5 zenon_He2 zenon_H3d zenon_H183 zenon_H162 zenon_H24e zenon_H1cd zenon_H7d zenon_H192 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1c3 zenon_H104 zenon_H15d zenon_H2c zenon_H77 zenon_H109 zenon_H186 zenon_H190 zenon_H1a2 zenon_Hf0 zenon_H196 zenon_H141 zenon_H11a zenon_Hb6 zenon_H73 zenon_H1cf zenon_H18a zenon_H1bb zenon_H1ef zenon_He4 zenon_H1f1 zenon_H1b7 zenon_H13f zenon_H4e zenon_H5d zenon_H1cb zenon_H18d zenon_H6f zenon_H201 zenon_H23c zenon_H48 zenon_H1d8 zenon_H13a zenon_Hfa zenon_H139 zenon_H3c zenon_H173 zenon_H231 zenon_Hbc zenon_H25b zenon_H26a zenon_H1c6 zenon_H36 zenon_H195 zenon_H191 zenon_Ha9 zenon_H117 zenon_H159 zenon_H24 zenon_H13c zenon_H121 zenon_H33 zenon_H9f zenon_Ha0 zenon_H1a3 zenon_Hc4 zenon_H179 zenon_H13b zenon_H34 zenon_H68.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.22/22.37 apply (zenon_L252_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.22/22.37 apply (zenon_L24_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.37 apply (zenon_L297_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.37 apply (zenon_L1765_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.37 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.22/22.37 apply (zenon_L65_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.22/22.37 apply (zenon_L1765_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.22/22.37 apply (zenon_L1460_); trivial.
% 22.22/22.37 apply (zenon_L1401_); trivial.
% 22.22/22.37 apply (zenon_L663_); trivial.
% 22.22/22.37 apply (zenon_L291_); trivial.
% 22.22/22.37 (* end of lemma zenon_L1766_ *)
% 22.22/22.37 assert (zenon_L1767_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.22/22.37 do 0 intro. intros zenon_H183 zenon_H68 zenon_H77 zenon_H7f zenon_Hc4 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H162 zenon_H1bb zenon_H181.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.22/22.37 apply (zenon_L291_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.22/22.37 apply (zenon_L169_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.22/22.37 apply (zenon_L870_); trivial.
% 22.22/22.37 exact (zenon_H181 zenon_H17c).
% 22.22/22.37 (* end of lemma zenon_L1767_ *)
% 22.22/22.37 assert (zenon_L1768_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.22/22.37 do 0 intro. intros zenon_He4 zenon_H1d8 zenon_H153 zenon_H23c zenon_H38 zenon_H196 zenon_H117 zenon_H9f zenon_H2c zenon_Hb6 zenon_Ha0 zenon_H195 zenon_H48 zenon_H109 zenon_H141 zenon_Hf3 zenon_H159 zenon_H3c zenon_H13c zenon_H183 zenon_H68 zenon_H77 zenon_Hc4 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H162 zenon_H1bb zenon_H181.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.22/22.37 apply (zenon_L738_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.22/22.37 apply (zenon_L492_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.22/22.37 apply (zenon_L1498_); trivial.
% 22.22/22.37 apply (zenon_L1767_); trivial.
% 22.22/22.37 (* end of lemma zenon_L1768_ *)
% 22.22/22.37 assert (zenon_L1769_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.22/22.37 do 0 intro. intros zenon_H13b zenon_H179 zenon_H1a8 zenon_Hf0 zenon_H12e zenon_H18a zenon_H1cb zenon_H1b4 zenon_H129 zenon_H18d zenon_H26a zenon_H186 zenon_H20f zenon_H25b zenon_H24 zenon_H104 zenon_H177 zenon_Hca zenon_H231 zenon_Hbc zenon_H173 zenon_Hfa zenon_Hc2 zenon_H139 zenon_H4e zenon_H111 zenon_H1c3 zenon_H1a2 zenon_H1cf zenon_H1ef zenon_H33 zenon_H1f1 zenon_H13f zenon_H190 zenon_H5d zenon_H6f zenon_H201 zenon_H13a zenon_H121 zenon_Ha9 zenon_H15d zenon_H192 zenon_Hcb zenon_H16a zenon_H181 zenon_H1bb zenon_H162 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_Hc4 zenon_H77 zenon_H68 zenon_H183 zenon_H13c zenon_H3c zenon_H159 zenon_H141 zenon_H109 zenon_H48 zenon_H195 zenon_Ha0 zenon_Hb6 zenon_H2c zenon_H9f zenon_H117 zenon_H196 zenon_H23c zenon_H153 zenon_H1d8 zenon_He4 zenon_Hf5 zenon_H38.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.37 apply (zenon_L297_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.37 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.22/22.37 apply (zenon_L738_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.22/22.37 apply (zenon_L492_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.22/22.37 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.22/22.37 apply (zenon_L24_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.22/22.37 apply (zenon_L1405_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.22/22.37 apply (zenon_L1473_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.37 apply (zenon_L1701_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.37 apply (zenon_L1455_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.37 apply (zenon_L56_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.37 apply (zenon_L359_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.37 apply (zenon_L111_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.22/22.37 apply (zenon_L1754_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.22/22.37 apply (zenon_L56_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.22/22.37 apply (zenon_L1495_); trivial.
% 22.22/22.37 apply (zenon_L1710_); trivial.
% 22.22/22.37 apply (zenon_L1162_); trivial.
% 22.22/22.37 apply (zenon_L1767_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.37 apply (zenon_L1768_); trivial.
% 22.22/22.37 apply (zenon_L663_); trivial.
% 22.22/22.37 (* end of lemma zenon_L1769_ *)
% 22.22/22.37 assert (zenon_L1770_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.22/22.37 do 0 intro. intros zenon_H1cf zenon_H1d5 zenon_H67 zenon_H38 zenon_H196 zenon_H117 zenon_Hb6 zenon_H54 zenon_Ha9 zenon_Ha0 zenon_H195 zenon_H68 zenon_H48 zenon_H141 zenon_H159 zenon_H24 zenon_H9f zenon_H13c zenon_H190 zenon_H6d zenon_H1bb zenon_H162 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H181 zenon_Hc4.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.22/22.37 apply (zenon_L252_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.22/22.37 apply (zenon_L1481_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.22/22.37 apply (zenon_L366_); trivial.
% 22.22/22.37 apply (zenon_L870_); trivial.
% 22.22/22.37 (* end of lemma zenon_L1770_ *)
% 22.22/22.37 assert (zenon_L1771_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (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) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((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 (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.22/22.37 do 0 intro. intros zenon_H16a zenon_H2c zenon_H190 zenon_H67 zenon_H1d5 zenon_H1cf zenon_H171 zenon_H177 zenon_Heb zenon_H100 zenon_H1c7 zenon_H1a2 zenon_H186 zenon_Hbc zenon_H18a zenon_H104 zenon_H231 zenon_H1cb zenon_H18d zenon_H36 zenon_H12e zenon_H48 zenon_H11a zenon_H288 zenon_Hf5 zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H196 zenon_H1fb zenon_H25e zenon_H13a zenon_H1d8 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H192 zenon_H183 zenon_H6f zenon_H159 zenon_H141 zenon_H111 zenon_H13f zenon_He7 zenon_Hf0 zenon_H195 zenon_H54 zenon_H117 zenon_H1c6 zenon_H162 zenon_H26a zenon_H25b zenon_H24 zenon_H9f zenon_H13c zenon_H73 zenon_H153 zenon_H1c3 zenon_H68 zenon_H77 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H181.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.22/22.37 apply (zenon_L180_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.22/22.37 apply (zenon_L1770_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.22/22.37 apply (zenon_L1495_); trivial.
% 22.22/22.37 apply (zenon_L1711_); trivial.
% 22.22/22.37 (* end of lemma zenon_L1771_ *)
% 22.22/22.37 assert (zenon_L1772_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (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) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((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 (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e3)) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.22/22.37 do 0 intro. intros zenon_H109 zenon_H10d zenon_Hc4 zenon_Hb6 zenon_H1c7 zenon_H9f zenon_H33 zenon_H121 zenon_H48 zenon_H12e zenon_H34 zenon_H3d zenon_H192 zenon_H163 zenon_He7 zenon_H171 zenon_H16a zenon_H2c zenon_H190 zenon_H67 zenon_H1d5 zenon_H1cf zenon_H177 zenon_Heb zenon_H100 zenon_H1a2 zenon_H186 zenon_Hbc zenon_H18a zenon_H104 zenon_H231 zenon_H1cb zenon_H18d zenon_H36 zenon_H11a zenon_H288 zenon_Hf5 zenon_Ha0 zenon_Ha9 zenon_H1fb zenon_H25e zenon_H13a zenon_H1d8 zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H183 zenon_H6f zenon_H159 zenon_H141 zenon_H111 zenon_H13f zenon_Hf0 zenon_H195 zenon_H54 zenon_H117 zenon_H1c6 zenon_H162 zenon_H26a zenon_H25b zenon_H24 zenon_H13c zenon_H73 zenon_H1c3 zenon_H68 zenon_H77 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H181 zenon_H201 zenon_H196 zenon_H38.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.37 apply (zenon_L359_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.37 apply (zenon_L152_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.22/22.37 apply (zenon_L1771_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.22/22.37 apply (zenon_L965_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.22/22.37 apply (zenon_L255_); trivial.
% 22.22/22.37 apply (zenon_L1414_); trivial.
% 22.22/22.37 apply (zenon_L1162_); trivial.
% 22.22/22.37 (* end of lemma zenon_L1772_ *)
% 22.22/22.37 assert (zenon_L1773_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.22/22.37 do 0 intro. intros zenon_H16a zenon_H38 zenon_H192 zenon_Hc4 zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H162 zenon_H1bb zenon_H2c zenon_H139 zenon_Ha9 zenon_H10d zenon_H171 zenon_He7 zenon_H177 zenon_H153 zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H104 zenon_H181 zenon_H48 zenon_H12e zenon_Hf7 zenon_H195.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.22/22.37 apply (zenon_L1748_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.22/22.37 apply (zenon_L289_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.22/22.37 apply (zenon_L1495_); trivial.
% 22.22/22.37 apply (zenon_L228_); trivial.
% 22.22/22.37 (* end of lemma zenon_L1773_ *)
% 22.22/22.37 assert (zenon_L1774_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> False).
% 22.22/22.37 do 0 intro. intros zenon_H13c zenon_H24 zenon_H1c7 zenon_H141 zenon_H109 zenon_Ha0 zenon_Hc4 zenon_Hb6 zenon_H9f zenon_H33 zenon_H121 zenon_H48 zenon_H16a zenon_H192 zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H162 zenon_H1bb zenon_H2c zenon_H139 zenon_H171 zenon_He7 zenon_H177 zenon_H183 zenon_H68 zenon_H34 zenon_H77 zenon_H104 zenon_H181 zenon_H12e zenon_H195 zenon_H201 zenon_H196 zenon_H38 zenon_H159 zenon_H3d zenon_H1c6 zenon_Ha9 zenon_Hf7.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.37 apply (zenon_L900_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.37 exact (zenon_H159 zenon_H10c).
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.37 apply (zenon_L55_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.37 exact (zenon_H159 zenon_H10c).
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.37 apply (zenon_L359_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.37 apply (zenon_L152_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.22/22.37 apply (zenon_L1773_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.22/22.37 apply (zenon_L124_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.22/22.37 apply (zenon_L255_); trivial.
% 22.22/22.37 apply (zenon_L1414_); trivial.
% 22.22/22.37 apply (zenon_L1162_); trivial.
% 22.22/22.37 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.37 apply (zenon_L299_); trivial.
% 22.22/22.37 (* end of lemma zenon_L1774_ *)
% 22.22/22.37 assert (zenon_L1775_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e2) (e1)) = (e0)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.22/22.37 do 0 intro. intros zenon_He4 zenon_Hdd zenon_H1c6 zenon_H23c zenon_H38 zenon_H196 zenon_H117 zenon_H9f zenon_H2c zenon_Hb6 zenon_Ha0 zenon_H195 zenon_H48 zenon_H109 zenon_H141 zenon_Hf3 zenon_H159 zenon_H3c zenon_H13c zenon_H183 zenon_H68 zenon_H77 zenon_Hc4 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H162 zenon_H1bb zenon_H181.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.22/22.37 apply (zenon_L1242_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.22/22.37 apply (zenon_L492_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.22/22.37 apply (zenon_L1498_); trivial.
% 22.22/22.37 apply (zenon_L1767_); trivial.
% 22.22/22.37 (* end of lemma zenon_L1775_ *)
% 22.22/22.37 assert (zenon_L1776_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.22/22.37 do 0 intro. intros zenon_H26a zenon_H9f zenon_Ha9 zenon_H115 zenon_H1bb zenon_H181 zenon_H1c2 zenon_H8a zenon_H5c zenon_H77 zenon_H19a zenon_H68 zenon_H48 zenon_Ha0 zenon_H162 zenon_H1c3 zenon_Hc4.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H9e | zenon_intro zenon_H26b ].
% 22.22/22.37 apply (zenon_L209_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H26c ].
% 22.22/22.37 apply (zenon_L886_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc3 ].
% 22.22/22.37 apply (zenon_L208_); trivial.
% 22.22/22.37 exact (zenon_Hc4 zenon_Hc3).
% 22.22/22.37 (* end of lemma zenon_L1776_ *)
% 22.22/22.37 assert (zenon_L1777_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 22.22/22.37 do 0 intro. intros zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H1c3 zenon_Ha0 zenon_H48 zenon_H68 zenon_H19a zenon_H77 zenon_H5c zenon_H8a zenon_H1c2 zenon_H181 zenon_H1bb zenon_Ha9 zenon_H9f zenon_H26a zenon_H162.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.22/22.37 apply (zenon_L414_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.22/22.37 apply (zenon_L157_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.22/22.37 apply (zenon_L1776_); trivial.
% 22.22/22.37 exact (zenon_H162 zenon_H167).
% 22.22/22.37 (* end of lemma zenon_L1777_ *)
% 22.22/22.37 assert (zenon_L1778_ : (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (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) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (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 (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.22/22.37 do 0 intro. intros zenon_H68 zenon_H38 zenon_H77 zenon_H153 zenon_H183 zenon_H192 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_Hb6 zenon_H9f zenon_H24 zenon_H121 zenon_H11a zenon_H33 zenon_H141 zenon_H2c zenon_H1d8 zenon_H111 zenon_H26a zenon_He4 zenon_H1f1 zenon_H109 zenon_H13f zenon_H23c zenon_H82 zenon_H186 zenon_Hf0 zenon_H191 zenon_H104 zenon_H1c2 zenon_H19a zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H201 zenon_H48 zenon_H1a8 zenon_Hcb zenon_Hfa zenon_H140 zenon_Hbc zenon_H231 zenon_H12e zenon_H234 zenon_Hc2 zenon_H1d5 zenon_H36 zenon_Hca zenon_H5d zenon_H13a zenon_Ha0 zenon_Ha9 zenon_H139 zenon_H13b zenon_H179 zenon_H288 zenon_H164 zenon_H212 zenon_H1fe zenon_Hb2 zenon_H125 zenon_H177 zenon_H159 zenon_H100 zenon_Hf5 zenon_H1bb zenon_H162 zenon_H18a zenon_H181 zenon_Hc4.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.37 apply (zenon_L1284_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.37 apply (zenon_L1769_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.37 apply (zenon_L297_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.37 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.37 apply (zenon_L69_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.37 apply (zenon_L1701_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.37 apply (zenon_L186_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.37 apply (zenon_L1770_); trivial.
% 22.22/22.37 apply (zenon_L1771_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.37 apply (zenon_L184_); trivial.
% 22.22/22.37 apply (zenon_L414_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.37 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.37 apply (zenon_L69_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.37 apply (zenon_L1642_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.37 apply (zenon_L184_); trivial.
% 22.22/22.37 apply (zenon_L1556_); trivial.
% 22.22/22.37 apply (zenon_L663_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.22/22.37 apply (zenon_L1701_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.22/22.37 apply (zenon_L94_); trivial.
% 22.22/22.37 apply (zenon_L165_); trivial.
% 22.22/22.37 apply (zenon_L211_); trivial.
% 22.22/22.37 (* end of lemma zenon_L1778_ *)
% 22.22/22.37 assert (zenon_L1779_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (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 (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.22/22.37 do 0 intro. intros zenon_H82 zenon_H68 zenon_H38 zenon_H1cb zenon_H5d zenon_H48 zenon_H18d zenon_H121 zenon_H33 zenon_H1c7 zenon_H104 zenon_H1a2 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1d8 zenon_H34 zenon_H1ef zenon_H186 zenon_H13a zenon_H14c zenon_H6f zenon_H109 zenon_H117 zenon_H1b7 zenon_H1f1 zenon_H13f zenon_H201 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H1c3 zenon_H190 zenon_Hb6 zenon_H3d zenon_Ha9 zenon_Ha0 zenon_H183 zenon_H192 zenon_H24e zenon_H7d zenon_H1cd zenon_H2c zenon_H139 zenon_H65 zenon_H77 zenon_H1bb zenon_H162 zenon_H18a zenon_H181 zenon_Hc4.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.37 apply (zenon_L1287_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.37 apply (zenon_L1747_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.37 apply (zenon_L30_); trivial.
% 22.22/22.37 apply (zenon_L211_); trivial.
% 22.22/22.37 (* end of lemma zenon_L1779_ *)
% 22.22/22.37 assert (zenon_L1780_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.22/22.37 do 0 intro. intros zenon_H1c6 zenon_H159 zenon_H181 zenon_H12e zenon_H48 zenon_H3d zenon_H192 zenon_H4d zenon_H163 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_He7 zenon_H68 zenon_H183 zenon_Hb6 zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H93 zenon_H77 zenon_H162 zenon_H18a zenon_H13a zenon_H104 zenon_H33 zenon_H121 zenon_H111 zenon_Ha0 zenon_H141 zenon_H54 zenon_Hef zenon_H196 zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H1c7.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.37 apply (zenon_L55_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.37 exact (zenon_H159 zenon_H10c).
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.37 apply (zenon_L1704_); trivial.
% 22.22/22.37 exact (zenon_H1c7 zenon_Hac).
% 22.22/22.37 (* end of lemma zenon_L1780_ *)
% 22.22/22.37 assert (zenon_L1781_ : ((op (e0) (e0)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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 (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> False).
% 22.22/22.37 do 0 intro. intros zenon_H67 zenon_Ha5 zenon_H16a zenon_H139 zenon_H2c zenon_H162 zenon_H1bb zenon_H1ef zenon_H186 zenon_H1cf zenon_H1a2 zenon_Hb6 zenon_Ha0 zenon_H173 zenon_H3c zenon_Hfa zenon_H5d zenon_H18d zenon_H25b zenon_Hf5 zenon_H195 zenon_H190 zenon_H26a zenon_He4 zenon_H23c zenon_H4e zenon_H201 zenon_H13f zenon_H1f1 zenon_H117 zenon_H109 zenon_H6f zenon_H13a zenon_H1b4 zenon_H129 zenon_H1b7 zenon_Hcb zenon_Hc2 zenon_H1d8 zenon_H24 zenon_H15d zenon_Hf0 zenon_Hef zenon_H120 zenon_H1c3 zenon_H38 zenon_Hc4 zenon_H1a3 zenon_H183 zenon_H68 zenon_H34 zenon_Ha9 zenon_H20f zenon_H9f zenon_H33 zenon_H121 zenon_H1c2 zenon_H14c zenon_H104 zenon_H7d zenon_H18a zenon_H231 zenon_Hbc zenon_H1cd zenon_H1cb zenon_H212 zenon_H48 zenon_H12e zenon_H77.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.22/22.37 apply (zenon_L1644_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.22/22.37 apply (zenon_L1403_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.22/22.37 apply (zenon_L255_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.22/22.37 apply (zenon_L1753_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.22/22.37 apply (zenon_L61_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.22/22.37 apply (zenon_L1643_); trivial.
% 22.22/22.37 apply (zenon_L218_); trivial.
% 22.22/22.37 (* end of lemma zenon_L1781_ *)
% 22.22/22.37 assert (zenon_L1782_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 22.22/22.37 do 0 intro. intros zenon_H1cf zenon_H77 zenon_H1a3 zenon_Ha0 zenon_H14c zenon_Ha9 zenon_H153 zenon_Hb6 zenon_H1a2 zenon_H190 zenon_H6d zenon_Hc2 zenon_H162 zenon_H120 zenon_H1cb zenon_H1bb.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.22/22.37 apply (zenon_L94_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.22/22.37 apply (zenon_L1170_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.22/22.37 apply (zenon_L366_); trivial.
% 22.22/22.37 apply (zenon_L238_); trivial.
% 22.22/22.37 (* end of lemma zenon_L1782_ *)
% 22.22/22.37 assert (zenon_L1783_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 22.22/22.37 do 0 intro. intros zenon_H1a2 zenon_H67 zenon_H105 zenon_H72 zenon_H1ef zenon_Ha8 zenon_H1c6 zenon_Hb6 zenon_H3d zenon_H159 zenon_Ha9 zenon_H6d zenon_H1cd.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.22/22.37 apply (zenon_L446_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.22/22.37 apply (zenon_L436_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.22/22.37 apply (zenon_L282_); trivial.
% 22.22/22.37 apply (zenon_L1111_); trivial.
% 22.22/22.37 (* end of lemma zenon_L1783_ *)
% 22.22/22.37 assert (zenon_L1784_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.22/22.37 do 0 intro. intros zenon_H117 zenon_H1cd zenon_H159 zenon_H3d zenon_Hb6 zenon_H1c6 zenon_H1ef zenon_H72 zenon_H105 zenon_H67 zenon_H1a2 zenon_Ha9 zenon_H6d zenon_H14c zenon_Ha0 zenon_Ha5 zenon_H195.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.22/22.37 apply (zenon_L1783_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.22/22.37 apply (zenon_L289_); trivial.
% 22.22/22.37 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.22/22.38 apply (zenon_L278_); trivial.
% 22.22/22.38 apply (zenon_L172_); trivial.
% 22.22/22.38 (* end of lemma zenon_L1784_ *)
% 22.22/22.38 assert (zenon_L1785_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((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)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e2) (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) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (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 (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> False).
% 22.22/22.38 do 0 intro. intros zenon_Hb2 zenon_H111 zenon_He2 zenon_H100 zenon_H22d zenon_H125 zenon_H164 zenon_H179 zenon_H288 zenon_H13b zenon_H1fe zenon_H177 zenon_H212 zenon_H12e zenon_H159 zenon_H67 zenon_H234 zenon_H192 zenon_H27e zenon_Hf0 zenon_He7 zenon_H1d5 zenon_Hfa zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H1fb zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H236 zenon_H189 zenon_H266 zenon_H55 zenon_H13e zenon_H158 zenon_H173 zenon_H1ec zenon_H73 zenon_H163 zenon_H283 zenon_Ha9 zenon_H141 zenon_H68 zenon_H195 zenon_H48 zenon_H117 zenon_Hb6 zenon_Ha0 zenon_H13f zenon_H196 zenon_H38 zenon_H156 zenon_H3d zenon_H1a8 zenon_H54 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H1c3 zenon_H1a3 zenon_H183 zenon_H34 zenon_H9f zenon_H33 zenon_H121 zenon_H1c2 zenon_H16a zenon_H1a2 zenon_H186 zenon_H201 zenon_H140 zenon_H26d zenon_H36 zenon_H131 zenon_H191 zenon_H162 zenon_H19a zenon_H120 zenon_H24e zenon_H7d zenon_H1cd zenon_H1b7 zenon_H11a zenon_H82 zenon_H1d8 zenon_Hc2 zenon_Hcb zenon_H104 zenon_H231 zenon_H18a zenon_H1ef zenon_H13a zenon_H6f zenon_H109 zenon_H1f1 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H26a zenon_H190 zenon_Hf5 zenon_H25b zenon_H5d zenon_H2c zenon_H139 zenon_Hbc zenon_H1c6 zenon_H24 zenon_H13c zenon_H77.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.22/22.38 apply (zenon_L69_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.22/22.38 apply (zenon_L1653_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.22/22.38 apply (zenon_L1654_); trivial.
% 22.22/22.38 apply (zenon_L1546_); trivial.
% 22.22/22.38 (* end of lemma zenon_L1785_ *)
% 22.22/22.38 assert (zenon_L1786_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.22/22.38 do 0 intro. intros zenon_H82 zenon_H13a zenon_H68 zenon_H38 zenon_H153 zenon_Hfa zenon_H173 zenon_H1a3 zenon_Ha0 zenon_H14c zenon_Ha9 zenon_Hb6 zenon_H1a2 zenon_H1cf zenon_H186 zenon_H1ef zenon_H1bb zenon_H162 zenon_H120 zenon_H1cb zenon_Hc4 zenon_H2c zenon_H139 zenon_H65 zenon_H77 zenon_H34 zenon_H48.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.22/22.38 apply (zenon_L1284_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.22/22.38 apply (zenon_L1752_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.22/22.38 apply (zenon_L30_); trivial.
% 22.22/22.38 apply (zenon_L456_); trivial.
% 22.22/22.38 (* end of lemma zenon_L1786_ *)
% 22.22/22.38 assert (zenon_L1787_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.22/22.38 do 0 intro. intros zenon_H195 zenon_H13c zenon_H3c zenon_H159 zenon_Ha9 zenon_H141 zenon_H34 zenon_H109 zenon_H48 zenon_Ha0 zenon_H53 zenon_Hb6 zenon_H2c zenon_H9f zenon_H117 zenon_H24 zenon_H77 zenon_Hfa zenon_H191 zenon_H12e zenon_H1b7 zenon_H5d zenon_H18d zenon_H1c2 zenon_H121 zenon_H33 zenon_H20f zenon_H68 zenon_H183 zenon_H1a3 zenon_Hc4 zenon_H1c3 zenon_H120 zenon_H82 zenon_H13a zenon_H153 zenon_H173 zenon_H1a2 zenon_H1cf zenon_H186 zenon_H1ef zenon_H1bb zenon_H162 zenon_H1cb zenon_H139 zenon_H16a zenon_H196 zenon_H38.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.38 apply (zenon_L359_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.38 apply (zenon_L111_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.22/22.38 apply (zenon_L1786_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.22/22.38 apply (zenon_L56_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.22/22.38 apply (zenon_L1065_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.22/22.38 apply (zenon_L113_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.22/22.38 exact (zenon_H191 zenon_H110).
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.22/22.38 apply (zenon_L456_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.22/22.38 apply (zenon_L1290_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.22/22.38 apply (zenon_L1158_); trivial.
% 22.22/22.38 exact (zenon_H120 zenon_H11f).
% 22.22/22.38 apply (zenon_L1496_); trivial.
% 22.22/22.38 apply (zenon_L1162_); trivial.
% 22.22/22.38 (* end of lemma zenon_L1787_ *)
% 22.22/22.38 assert (zenon_L1788_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.22/22.38 do 0 intro. intros zenon_He4 zenon_H177 zenon_H11a zenon_H1c3 zenon_H20f zenon_H1c2 zenon_H18d zenon_H5d zenon_H1b7 zenon_H12e zenon_H191 zenon_H24 zenon_H117 zenon_H159 zenon_H13c zenon_H195 zenon_H141 zenon_H109 zenon_He7 zenon_Hf0 zenon_H77 zenon_H183 zenon_H68 zenon_H34 zenon_H104 zenon_H121 zenon_H33 zenon_H9f zenon_H7d zenon_H18a zenon_H231 zenon_Hbc zenon_H1cd zenon_H1cb zenon_H212 zenon_H1a3 zenon_Hc4 zenon_H6e zenon_H6f zenon_H82 zenon_H13a zenon_H153 zenon_Hfa zenon_H173 zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H1a2 zenon_H1cf zenon_H186 zenon_H1ef zenon_H1bb zenon_H162 zenon_H120 zenon_H2c zenon_H139 zenon_H48 zenon_H16a zenon_Hc2 zenon_H1f1 zenon_H100 zenon_H3c zenon_H13f zenon_H196 zenon_H38.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.22/22.38 apply (zenon_L214_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.22/22.38 apply (zenon_L1648_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.22/22.38 apply (zenon_L1787_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.38 apply (zenon_L359_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.38 apply (zenon_L929_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.22/22.38 apply (zenon_L69_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.22/22.38 apply (zenon_L284_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.22/22.38 apply (zenon_L477_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.22/22.38 apply (zenon_L1786_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.22/22.38 apply (zenon_L21_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.22/22.38 apply (zenon_L1168_); trivial.
% 22.22/22.38 apply (zenon_L218_); trivial.
% 22.22/22.38 apply (zenon_L1162_); trivial.
% 22.22/22.38 (* end of lemma zenon_L1788_ *)
% 22.22/22.38 assert (zenon_L1789_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.22/22.38 do 0 intro. intros zenon_H13b zenon_H77 zenon_H141 zenon_H34 zenon_H109 zenon_Hf0 zenon_H1bb zenon_H1cb zenon_H120 zenon_H162 zenon_Hc2 zenon_H190 zenon_Ha9 zenon_H1cf zenon_H196 zenon_H140 zenon_H48 zenon_Hbc zenon_He4 zenon_H177 zenon_H11a zenon_H1c3 zenon_H20f zenon_H1c2 zenon_H18d zenon_H5d zenon_H1b7 zenon_H12e zenon_H24 zenon_H117 zenon_H159 zenon_H13c zenon_H195 zenon_H183 zenon_H68 zenon_H104 zenon_H121 zenon_H33 zenon_H9f zenon_H7d zenon_H18a zenon_H231 zenon_H1cd zenon_H212 zenon_Hc4 zenon_H6f zenon_H82 zenon_H13a zenon_Hfa zenon_H173 zenon_H186 zenon_H1ef zenon_H2c zenon_H139 zenon_H16a zenon_H1f1 zenon_H100 zenon_H3c zenon_H13f zenon_H1a8 zenon_H23c zenon_H1d8 zenon_H1a3 zenon_H191 zenon_Ha0 zenon_H153 zenon_Hb6 zenon_H1a2 zenon_Hf5 zenon_H38.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.22/22.38 apply (zenon_L25_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.22/22.38 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.22/22.38 apply (zenon_L738_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.22/22.38 apply (zenon_L492_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.22/22.38 apply (zenon_L1787_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.22/22.38 apply (zenon_L1788_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.22/22.38 apply (zenon_L1316_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.38 apply (zenon_L359_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.38 apply (zenon_L929_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.38 apply (zenon_L1782_); trivial.
% 22.22/22.38 apply (zenon_L1162_); trivial.
% 22.22/22.38 apply (zenon_L169_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.22/22.38 apply (zenon_L1265_); trivial.
% 22.22/22.38 apply (zenon_L663_); trivial.
% 22.22/22.38 (* end of lemma zenon_L1789_ *)
% 22.22/22.38 assert (zenon_L1790_ : ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False).
% 22.22/22.38 do 0 intro. intros zenon_H38 zenon_H196 zenon_H1c6 zenon_H25b zenon_H26a zenon_H4e zenon_Hcb zenon_H24e zenon_H19a zenon_H131 zenon_H36 zenon_H26d zenon_H129 zenon_H1b4 zenon_H156 zenon_H283 zenon_H73 zenon_H1ec zenon_H158 zenon_H13e zenon_H55 zenon_H266 zenon_H189 zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1fb zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H1d5 zenon_H27e zenon_H234 zenon_H67 zenon_H1fe zenon_H288 zenon_H179 zenon_H164 zenon_H125 zenon_H22d zenon_He2 zenon_H111 zenon_Hb2 zenon_H201 zenon_Hf5 zenon_H1a2 zenon_Hb6 zenon_Ha0 zenon_H191 zenon_H1d8 zenon_H23c zenon_H1a8 zenon_H13f zenon_H3c zenon_H100 zenon_H1f1 zenon_H16a zenon_H139 zenon_H2c zenon_H1ef zenon_H186 zenon_H173 zenon_Hfa zenon_H13a zenon_H82 zenon_H6f zenon_H212 zenon_H1cd zenon_H231 zenon_H18a zenon_H7d zenon_H104 zenon_H195 zenon_H13c zenon_H159 zenon_H117 zenon_H24 zenon_H5d zenon_H18d zenon_H1c2 zenon_H11a zenon_H177 zenon_He4 zenon_Hbc zenon_H140 zenon_H1cf zenon_H190 zenon_Hc2 zenon_H162 zenon_H120 zenon_H1cb zenon_H1bb zenon_Hf0 zenon_H109 zenon_H141 zenon_H13b zenon_He7 zenon_H163 zenon_H192 zenon_H3d zenon_H12e zenon_H48 zenon_H1c3 zenon_Hc4 zenon_H1a3 zenon_H183 zenon_H68 zenon_H34 zenon_H20f zenon_H9f zenon_H33 zenon_H121 zenon_H77 zenon_H1b7 zenon_Ha9 zenon_H171.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.22/22.38 apply (zenon_L55_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.22/22.38 exact (zenon_H159 zenon_H10c).
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.22/22.38 apply (zenon_L359_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.22/22.38 apply (zenon_L152_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.22/22.38 apply (zenon_L1785_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.22/22.38 apply (zenon_L113_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.22/22.38 apply (zenon_L255_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.22/22.38 apply (zenon_L1789_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.22/22.38 apply (zenon_L965_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.22/22.38 apply (zenon_L255_); trivial.
% 22.22/22.38 apply (zenon_L1651_); trivial.
% 22.22/22.38 apply (zenon_L1162_); trivial.
% 22.22/22.38 apply (zenon_L371_); trivial.
% 22.22/22.38 (* end of lemma zenon_L1790_ *)
% 22.22/22.38 assert (zenon_L1791_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> False).
% 22.22/22.38 do 0 intro. intros zenon_H13c zenon_Ha0 zenon_H25 zenon_H159 zenon_Hb6 zenon_H4d zenon_Ha9 zenon_Hf7.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.22/22.38 apply (zenon_L116_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.22/22.38 exact (zenon_H159 zenon_H10c).
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.22/22.38 apply (zenon_L124_); trivial.
% 22.22/22.38 apply (zenon_L299_); trivial.
% 22.22/22.38 (* end of lemma zenon_L1791_ *)
% 22.22/22.38 assert (zenon_L1792_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.22/22.38 do 0 intro. intros zenon_H1fe zenon_He2 zenon_H13c zenon_H24 zenon_H141 zenon_H92 zenon_Hf0 zenon_H195 zenon_H2c zenon_H117 zenon_H16a zenon_H7b zenon_Hfa zenon_H1c6 zenon_H159 zenon_H191 zenon_H8b zenon_H131 zenon_H1ef zenon_H13e zenon_H15d zenon_H9f zenon_H53 zenon_H55 zenon_H5a zenon_H4e zenon_H139 zenon_H77 zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H13a zenon_H68 zenon_H82 zenon_H73 zenon_H4d zenon_H38 zenon_H48.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.22/22.38 apply (zenon_L41_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.22/22.38 apply (zenon_L253_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.22/22.38 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.22/22.38 apply (zenon_L65_); trivial.
% 22.22/22.38 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.32/22.39 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.32/22.39 apply (zenon_L171_); trivial.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.32/22.39 apply (zenon_L900_); trivial.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.32/22.39 exact (zenon_H159 zenon_H10c).
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.32/22.39 apply (zenon_L124_); trivial.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.32/22.39 apply (zenon_L1008_); trivial.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.32/22.39 apply (zenon_L929_); trivial.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.32/22.39 apply (zenon_L1403_); trivial.
% 22.32/22.39 apply (zenon_L766_); trivial.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.32/22.39 apply (zenon_L59_); trivial.
% 22.32/22.39 apply (zenon_L1791_); trivial.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.32/22.39 apply (zenon_L111_); trivial.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.32/22.39 apply (zenon_L55_); trivial.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.32/22.39 exact (zenon_H159 zenon_H10c).
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.32/22.39 apply (zenon_L113_); trivial.
% 22.32/22.39 apply (zenon_L107_); trivial.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.39 apply (zenon_L184_); trivial.
% 22.32/22.39 apply (zenon_L246_); trivial.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.39 apply (zenon_L755_); trivial.
% 22.32/22.39 apply (zenon_L1715_); trivial.
% 22.32/22.39 (* end of lemma zenon_L1792_ *)
% 22.32/22.39 assert (zenon_L1793_ : ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (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 (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> False).
% 22.32/22.39 do 0 intro. intros zenon_H38 zenon_H1fb zenon_H26d zenon_Hb6 zenon_H9f zenon_H13b zenon_Hf5 zenon_Hfa zenon_H4e zenon_H1ef zenon_He2 zenon_H13c zenon_H109 zenon_H201 zenon_H117 zenon_H195 zenon_H183 zenon_H129 zenon_H27e zenon_H1c2 zenon_H18a zenon_H1c3 zenon_H18d zenon_H1cb zenon_H1b4 zenon_H20f zenon_H1bb zenon_H16a zenon_H186 zenon_H1a2 zenon_Hf0 zenon_H196 zenon_H141 zenon_H173 zenon_H121 zenon_H177 zenon_H11a zenon_H33 zenon_H48 zenon_H15d zenon_H24 zenon_H189 zenon_H191 zenon_H13f zenon_H190 zenon_H1cf zenon_H82 zenon_H1d8 zenon_H234 zenon_H55 zenon_H1a8 zenon_H140 zenon_H192 zenon_H231 zenon_H1cd zenon_Hbc zenon_He4 zenon_H1c6 zenon_H179 zenon_H288 zenon_H164 zenon_H212 zenon_H1fe zenon_Hb2 zenon_H125 zenon_H104 zenon_H12e zenon_H7d zenon_H24e zenon_H1f1 zenon_H23c zenon_H26a zenon_H2c zenon_H1d5 zenon_H111 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_Hcc zenon_H282 zenon_Heb zenon_H236 zenon_H25b zenon_H1b7 zenon_H266 zenon_H6f zenon_H13e zenon_H158 zenon_H156 zenon_H1ec zenon_H73 zenon_H131 zenon_H163 zenon_H283 zenon_H5c zenon_H5d zenon_H77 zenon_H13a zenon_Ha0 zenon_Ha9 zenon_H68 zenon_H139 zenon_H100 zenon_H22d.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 22.32/22.39 apply (zenon_L1627_); trivial.
% 22.32/22.39 apply (zenon_L1235_); trivial.
% 22.32/22.39 (* end of lemma zenon_L1793_ *)
% 22.32/22.39 assert (zenon_L1794_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (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 (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.32/22.39 do 0 intro. intros zenon_H22d zenon_H100 zenon_H139 zenon_H68 zenon_Ha9 zenon_Ha0 zenon_H13a zenon_H77 zenon_H5d zenon_H5c zenon_H283 zenon_H163 zenon_H131 zenon_H73 zenon_H1ec zenon_H156 zenon_H158 zenon_H13e zenon_H6f zenon_H266 zenon_H1b7 zenon_H25b zenon_H236 zenon_Heb zenon_H282 zenon_Hcc zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H111 zenon_H1d5 zenon_H2c zenon_H26a zenon_H23c zenon_H1f1 zenon_H24e zenon_H7d zenon_H12e zenon_H104 zenon_H125 zenon_Hb2 zenon_H1fe zenon_H212 zenon_H164 zenon_H288 zenon_H179 zenon_H1c6 zenon_He4 zenon_Hbc zenon_H1cd zenon_H231 zenon_H192 zenon_H140 zenon_H1a8 zenon_H55 zenon_H234 zenon_H1d8 zenon_H82 zenon_H1cf zenon_H190 zenon_H13f zenon_H189 zenon_H24 zenon_H15d zenon_H48 zenon_H33 zenon_H11a zenon_H177 zenon_H121 zenon_H173 zenon_H141 zenon_H196 zenon_Hf0 zenon_H1a2 zenon_H186 zenon_H16a zenon_H1bb zenon_H20f zenon_H1b4 zenon_H1cb zenon_H18d zenon_H1c3 zenon_H18a zenon_H1c2 zenon_H27e zenon_H129 zenon_H183 zenon_H195 zenon_H117 zenon_H201 zenon_H109 zenon_H13c zenon_He2 zenon_H1ef zenon_H4e zenon_Hfa zenon_Hf5 zenon_H13b zenon_H9f zenon_Hb6 zenon_H26d zenon_H1fb zenon_H38.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H191 | zenon_intro zenon_H93 ].
% 22.32/22.39 apply (zenon_L1793_); trivial.
% 22.32/22.39 apply (zenon_L1236_); trivial.
% 22.32/22.39 (* end of lemma zenon_L1794_ *)
% 22.32/22.39 assert (zenon_L1795_ : (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (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 (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.32/22.39 do 0 intro. intros zenon_H7a zenon_H40 zenon_H72 zenon_H22d zenon_H100 zenon_H139 zenon_H68 zenon_Ha9 zenon_Ha0 zenon_H13a zenon_H77 zenon_H5d zenon_H283 zenon_H163 zenon_H131 zenon_H73 zenon_H1ec zenon_H156 zenon_H158 zenon_H13e zenon_H6f zenon_H266 zenon_H1b7 zenon_H25b zenon_H236 zenon_Heb zenon_H282 zenon_Hcc zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H111 zenon_H1d5 zenon_H2c zenon_H26a zenon_H23c zenon_H1f1 zenon_H24e zenon_H7d zenon_H12e zenon_H104 zenon_H125 zenon_Hb2 zenon_H1fe zenon_H212 zenon_H164 zenon_H288 zenon_H179 zenon_H1c6 zenon_He4 zenon_Hbc zenon_H1cd zenon_H231 zenon_H192 zenon_H140 zenon_H1a8 zenon_H55 zenon_H234 zenon_H1d8 zenon_H82 zenon_H1cf zenon_H190 zenon_H13f zenon_H189 zenon_H24 zenon_H15d zenon_H48 zenon_H33 zenon_H11a zenon_H177 zenon_H121 zenon_H173 zenon_H141 zenon_H196 zenon_Hf0 zenon_H1a2 zenon_H186 zenon_H16a zenon_H1bb zenon_H20f zenon_H1b4 zenon_H1cb zenon_H18d zenon_H1c3 zenon_H18a zenon_H1c2 zenon_H27e zenon_H129 zenon_H183 zenon_H195 zenon_H117 zenon_H201 zenon_H109 zenon_H13c zenon_He2 zenon_H1ef zenon_H4e zenon_Hfa zenon_Hf5 zenon_H13b zenon_H9f zenon_Hb6 zenon_H26d zenon_H1fb zenon_H38.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.32/22.39 exact (zenon_H7a zenon_H3c).
% 22.32/22.39 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.32/22.39 exact (zenon_H40 zenon_H3f).
% 22.32/22.39 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.32/22.39 apply (zenon_L59_); trivial.
% 22.32/22.39 apply (zenon_L1794_); trivial.
% 22.32/22.39 (* end of lemma zenon_L1795_ *)
% 22.32/22.39 assert (zenon_L1796_ : (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e2)) = (e2)) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (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 (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (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))))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> False).
% 22.32/22.39 do 0 intro. intros zenon_H40 zenon_H66 zenon_H3e zenon_H1fe zenon_H13b zenon_Hb1 zenon_H2c zenon_H109 zenon_H179 zenon_Hb6 zenon_H177 zenon_H82 zenon_He4 zenon_H7d zenon_H125 zenon_H1d5 zenon_Hfa zenon_H156 zenon_H1a8 zenon_H201 zenon_H141 zenon_H196 zenon_H195 zenon_H117 zenon_H48 zenon_H13f zenon_H183 zenon_H129 zenon_H27e zenon_H11a zenon_H1c2 zenon_H18a zenon_H1c3 zenon_H18d zenon_H1cb zenon_H1b4 zenon_H20f zenon_Hc4 zenon_H1bb zenon_H16a zenon_H186 zenon_Ha5 zenon_H191 zenon_H1cd zenon_Hac zenon_H1a2 zenon_H1d8 zenon_Hf0 zenon_H111 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H236 zenon_H189 zenon_Hf5 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H7a zenon_H77 zenon_H13a zenon_H38 zenon_Ha9 zenon_H68 zenon_H139 zenon_H9f zenon_Ha0 zenon_H169.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.32/22.39 exact (zenon_H7a zenon_H3c).
% 22.32/22.39 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.32/22.39 exact (zenon_H40 zenon_H3f).
% 22.32/22.39 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.32/22.39 apply (zenon_L379_); trivial.
% 22.32/22.39 apply (zenon_L1593_); trivial.
% 22.32/22.39 (* end of lemma zenon_L1796_ *)
% 22.32/22.39 assert (zenon_L1797_ : (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (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 (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.32/22.39 do 0 intro. intros zenon_H7a zenon_H40 zenon_Hf3 zenon_H22d zenon_H100 zenon_H139 zenon_H68 zenon_Ha9 zenon_Ha0 zenon_H13a zenon_H77 zenon_H5d zenon_H283 zenon_H163 zenon_H131 zenon_H73 zenon_H1ec zenon_H156 zenon_H158 zenon_H13e zenon_H6f zenon_H266 zenon_H1b7 zenon_H25b zenon_H236 zenon_Heb zenon_H282 zenon_Hcc zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H111 zenon_H1d5 zenon_H2c zenon_H26a zenon_H23c zenon_H1f1 zenon_H24e zenon_H7d zenon_H12e zenon_H104 zenon_H125 zenon_Hb2 zenon_H1fe zenon_H212 zenon_H164 zenon_H288 zenon_H179 zenon_H1c6 zenon_He4 zenon_Hbc zenon_H1cd zenon_H231 zenon_H192 zenon_H140 zenon_H1a8 zenon_H55 zenon_H234 zenon_H1d8 zenon_H82 zenon_H1cf zenon_H190 zenon_H13f zenon_H189 zenon_H24 zenon_H15d zenon_H48 zenon_H33 zenon_H11a zenon_H177 zenon_H121 zenon_H173 zenon_H141 zenon_H196 zenon_Hf0 zenon_H1a2 zenon_H186 zenon_H16a zenon_H1bb zenon_H20f zenon_H1b4 zenon_H1cb zenon_H18d zenon_H1c3 zenon_H18a zenon_H1c2 zenon_H27e zenon_H129 zenon_H183 zenon_H195 zenon_H117 zenon_H201 zenon_H109 zenon_H13c zenon_He2 zenon_H1ef zenon_H4e zenon_Hfa zenon_Hf5 zenon_H13b zenon_H9f zenon_Hb6 zenon_H26d zenon_H1fb zenon_H38.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.32/22.39 exact (zenon_H7a zenon_H3c).
% 22.32/22.39 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.32/22.39 exact (zenon_H40 zenon_H3f).
% 22.32/22.39 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.32/22.39 apply (zenon_L117_); trivial.
% 22.32/22.39 apply (zenon_L1794_); trivial.
% 22.32/22.39 (* end of lemma zenon_L1797_ *)
% 22.32/22.39 assert (zenon_L1798_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.32/22.39 do 0 intro. intros zenon_H82 zenon_H13a zenon_H139 zenon_H7a zenon_Hac zenon_Ha9 zenon_H141 zenon_H68 zenon_H195 zenon_Ha5 zenon_Ha0 zenon_Hb6 zenon_H117 zenon_H196 zenon_H38 zenon_H1b3 zenon_H3d zenon_H77 zenon_H1a8 zenon_H34 zenon_H48.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.39 apply (zenon_L1149_); trivial.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.39 exact (zenon_H7a zenon_H3c).
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.32/22.39 apply (zenon_L214_); trivial.
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.32/22.39 exact (zenon_H1b3 zenon_Hef).
% 22.32/22.39 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.32/22.39 apply (zenon_L1393_); trivial.
% 22.32/22.39 apply (zenon_L371_); trivial.
% 22.32/22.39 apply (zenon_L456_); trivial.
% 22.32/22.39 (* end of lemma zenon_L1798_ *)
% 22.32/22.40 assert (zenon_L1799_ : (~((e0) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (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 (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (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))))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_Ha0 zenon_H9f zenon_Hb6 zenon_H177 zenon_H82 zenon_He4 zenon_H7d zenon_H125 zenon_H1d5 zenon_Hfa zenon_H156 zenon_H1a8 zenon_H201 zenon_H141 zenon_H196 zenon_H195 zenon_H117 zenon_H48 zenon_H13f zenon_H183 zenon_H129 zenon_H27e zenon_H11a zenon_H1c2 zenon_H18a zenon_H1c3 zenon_H18d zenon_H1cb zenon_H1b4 zenon_H20f zenon_Hc4 zenon_H1bb zenon_H16a zenon_H186 zenon_Ha5 zenon_H191 zenon_H1cd zenon_Hac zenon_H1a2 zenon_H1d8 zenon_Hf0 zenon_H111 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H236 zenon_H189 zenon_Hf5 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H77 zenon_H13a zenon_H38 zenon_Ha9 zenon_H68 zenon_H139 zenon_H40 zenon_H7a zenon_H169 zenon_H179 zenon_H109 zenon_H2c zenon_Hb1 zenon_H13b zenon_H1fe zenon_H3e zenon_H22d zenon_H100 zenon_H26a zenon_H23c zenon_H1f1 zenon_H24e zenon_H12e zenon_H104 zenon_Hb2 zenon_H212 zenon_H164 zenon_H288 zenon_Hbc zenon_H231 zenon_H192 zenon_H140 zenon_H234 zenon_H24 zenon_H33 zenon_H121 zenon_He2.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.40 apply (zenon_L41_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.32/22.40 exact (zenon_H7a zenon_H3c).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.32/22.40 exact (zenon_H40 zenon_H3f).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.32/22.40 exact (zenon_H1d4 zenon_H4d).
% 22.32/22.40 apply (zenon_L1582_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.40 apply (zenon_L253_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.32/22.40 exact (zenon_H7a zenon_H3c).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.32/22.40 exact (zenon_H40 zenon_H3f).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.32/22.40 exact (zenon_H1d4 zenon_H4d).
% 22.32/22.40 apply (zenon_L1574_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.40 apply (zenon_L214_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.40 apply (zenon_L1796_); trivial.
% 22.32/22.40 apply (zenon_L165_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.40 apply (zenon_L1439_); trivial.
% 22.32/22.40 apply (zenon_L246_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.40 apply (zenon_L253_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.40 apply (zenon_L1149_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.40 exact (zenon_H7a zenon_H3c).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.32/22.40 apply (zenon_L297_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.32/22.40 exact (zenon_H7a zenon_H3c).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.32/22.40 exact (zenon_H40 zenon_H3f).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.32/22.40 exact (zenon_H1d4 zenon_H4d).
% 22.32/22.40 apply (zenon_L1584_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.32/22.40 apply (zenon_L1797_); trivial.
% 22.32/22.40 apply (zenon_L90_); trivial.
% 22.32/22.40 apply (zenon_L456_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.40 apply (zenon_L1439_); trivial.
% 22.32/22.40 apply (zenon_L461_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.40 apply (zenon_L41_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.32/22.40 exact (zenon_H7a zenon_H3c).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.32/22.40 exact (zenon_H40 zenon_H3f).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.32/22.40 apply (zenon_L923_); trivial.
% 22.32/22.40 apply (zenon_L1794_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.40 apply (zenon_L355_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.32/22.40 exact (zenon_H7a zenon_H3c).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.32/22.40 exact (zenon_H40 zenon_H3f).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.32/22.40 apply (zenon_L214_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.32/22.40 exact (zenon_H1b3 zenon_Hef).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.32/22.40 apply (zenon_L1393_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.32/22.40 apply (zenon_L56_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.32/22.40 apply (zenon_L128_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.32/22.40 apply (zenon_L67_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.32/22.40 apply (zenon_L289_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.32/22.40 exact (zenon_H191 zenon_H110).
% 22.32/22.40 apply (zenon_L182_); trivial.
% 22.32/22.40 apply (zenon_L371_); trivial.
% 22.32/22.40 apply (zenon_L1593_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.40 apply (zenon_L1439_); trivial.
% 22.32/22.40 apply (zenon_L246_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.40 apply (zenon_L253_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.40 apply (zenon_L1798_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.40 apply (zenon_L1439_); trivial.
% 22.32/22.40 apply (zenon_L246_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1799_ *)
% 22.32/22.40 assert (zenon_L1800_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((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 (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((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 (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H169 zenon_H11a zenon_Ha0 zenon_H9f zenon_H1ec zenon_Ha5 zenon_H186 zenon_He3 zenon_H40 zenon_H156 zenon_H159 zenon_H158 zenon_H4e zenon_He2 zenon_Hac zenon_H55 zenon_H38 zenon_H1fb zenon_H139 zenon_H68 zenon_Ha9 zenon_H13a zenon_H77 zenon_H1d5 zenon_H125 zenon_H48 zenon_H7d zenon_H201 zenon_Hf0 zenon_H18d zenon_H141 zenon_H173 zenon_H2c zenon_H117 zenon_H195 zenon_Heb zenon_H196 zenon_H177 zenon_H129 zenon_H183 zenon_H12e zenon_H20f zenon_H1bb zenon_Hc4 zenon_H1cb zenon_H18a zenon_H192 zenon_H1c3 zenon_H1b4 zenon_Hf5 zenon_H25e zenon_He4 zenon_H1b7 zenon_H1d8 zenon_H15d zenon_H100 zenon_H16a zenon_H13c zenon_H109 zenon_H1a2 zenon_H1cd zenon_H191 zenon_H13f zenon_H13b zenon_H82 zenon_Hb6 zenon_H1fe.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.40 apply (zenon_L41_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.40 apply (zenon_L309_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.40 apply (zenon_L1594_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.40 apply (zenon_L253_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.40 apply (zenon_L1149_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.32/22.40 apply (zenon_L25_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.32/22.40 exact (zenon_He3 zenon_He7).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.32/22.40 apply (zenon_L65_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.32/22.40 exact (zenon_He3 zenon_He7).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.32/22.40 apply (zenon_L1612_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.32/22.40 apply (zenon_L1498_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.32/22.40 apply (zenon_L1669_); trivial.
% 22.32/22.40 apply (zenon_L1670_); trivial.
% 22.32/22.40 apply (zenon_L802_); trivial.
% 22.32/22.40 apply (zenon_L663_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.40 apply (zenon_L306_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.32/22.40 apply (zenon_L252_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.32/22.40 apply (zenon_L24_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.32/22.40 apply (zenon_L316_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.32/22.40 exact (zenon_He3 zenon_He7).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.32/22.40 apply (zenon_L1459_); trivial.
% 22.32/22.40 apply (zenon_L107_); trivial.
% 22.32/22.40 apply (zenon_L291_); trivial.
% 22.32/22.40 apply (zenon_L165_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.40 apply (zenon_L1613_); trivial.
% 22.32/22.40 apply (zenon_L456_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.40 apply (zenon_L1439_); trivial.
% 22.32/22.40 apply (zenon_L246_); trivial.
% 22.32/22.40 apply (zenon_L373_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1800_ *)
% 22.32/22.40 assert (zenon_L1801_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H11a zenon_He7 zenon_He0.
% 22.32/22.40 cut (((op (e1) (e1)) = (e0)) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 22.32/22.40 intro zenon_D_pnotp.
% 22.32/22.40 apply zenon_H11a.
% 22.32/22.40 rewrite <- zenon_D_pnotp.
% 22.32/22.40 exact zenon_He7.
% 22.32/22.40 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 22.32/22.40 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 22.32/22.40 congruence.
% 22.32/22.40 apply zenon_H10f. apply refl_equal.
% 22.32/22.40 apply zenon_H1f2. apply sym_equal. exact zenon_He0.
% 22.32/22.40 (* end of lemma zenon_L1801_ *)
% 22.32/22.40 assert (zenon_L1802_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H1fe zenon_H1f zenon_H48 zenon_H3c zenon_H68 zenon_H65 zenon_H167 zenon_H18a.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.40 exact (zenon_H1f zenon_H1e).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.40 apply (zenon_L25_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.40 apply (zenon_L27_); trivial.
% 22.32/22.40 apply (zenon_L416_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1802_ *)
% 22.32/22.40 assert (zenon_L1803_ : (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H48 zenon_H11f zenon_H167.
% 22.32/22.40 cut (((op (e3) (e3)) = (e1)) = ((e0) = (e1))).
% 22.32/22.40 intro zenon_D_pnotp.
% 22.32/22.40 apply zenon_H48.
% 22.32/22.40 rewrite <- zenon_D_pnotp.
% 22.32/22.40 exact zenon_H11f.
% 22.32/22.40 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 22.32/22.40 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H162].
% 22.32/22.40 congruence.
% 22.32/22.40 exact (zenon_H162 zenon_H167).
% 22.32/22.40 apply zenon_H4a. apply refl_equal.
% 22.32/22.40 (* end of lemma zenon_L1803_ *)
% 22.32/22.40 assert (zenon_L1804_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H16a zenon_H18a zenon_H68 zenon_H1f zenon_H1fe zenon_H1ba zenon_H8b zenon_H18d zenon_H9e zenon_Hb6 zenon_H5d zenon_H3c zenon_H77 zenon_H48 zenon_H167.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.40 apply (zenon_L1802_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.40 exact (zenon_H1ba zenon_H6d).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.40 exact (zenon_H8b zenon_H8a).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.32/22.40 apply (zenon_L115_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.32/22.40 apply (zenon_L17_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.32/22.40 apply (zenon_L218_); trivial.
% 22.32/22.40 apply (zenon_L1803_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1804_ *)
% 22.32/22.40 assert (zenon_L1805_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H125 zenon_H47 zenon_H77 zenon_H3c zenon_H68 zenon_H2f zenon_Ha9 zenon_H9d.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.32/22.40 apply (zenon_L251_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.32/22.40 apply (zenon_L24_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.32/22.40 apply (zenon_L28_); trivial.
% 22.32/22.40 apply (zenon_L91_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1805_ *)
% 22.32/22.40 assert (zenon_L1806_ : (((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)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H13a zenon_H33 zenon_H9d zenon_H3d zenon_Ha0 zenon_H31 zenon_H16a zenon_H18a zenon_H68 zenon_H1f zenon_H1fe zenon_H1ba zenon_H8b zenon_H18d zenon_Hb6 zenon_H5d zenon_H3c zenon_H77 zenon_H48 zenon_H167.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.40 apply (zenon_L245_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.40 apply (zenon_L55_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.40 apply (zenon_L68_); trivial.
% 22.32/22.40 apply (zenon_L1804_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1806_ *)
% 22.32/22.40 assert (zenon_L1807_ : (((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)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (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))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H13a zenon_H33 zenon_H9d zenon_H6f zenon_H1ba zenon_H89 zenon_H13d zenon_H190 zenon_H191 zenon_H13e zenon_H55 zenon_H2d zenon_H266 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H155.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.40 apply (zenon_L245_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.40 apply (zenon_L1076_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.40 apply (zenon_L68_); trivial.
% 22.32/22.40 apply (zenon_L115_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1807_ *)
% 22.32/22.40 assert (zenon_L1808_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H92 zenon_H125 zenon_Ha9 zenon_H2f zenon_H89 zenon_H13d zenon_H190 zenon_H13e zenon_H15d zenon_H33 zenon_H9d zenon_He4 zenon_H1f1 zenon_H68 zenon_H77 zenon_H8b zenon_H16a zenon_H55 zenon_H2d zenon_Hf0 zenon_H1ba zenon_H6f zenon_H266 zenon_Hb6 zenon_Ha0 zenon_H31 zenon_H5d zenon_H18d zenon_H1f zenon_H48 zenon_H3c zenon_H18a zenon_H167 zenon_H1fe zenon_H13a.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.40 apply (zenon_L245_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.40 apply (zenon_L705_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.40 apply (zenon_L68_); trivial.
% 22.32/22.40 apply (zenon_L1804_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.40 apply (zenon_L1805_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.40 apply (zenon_L1806_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.40 apply (zenon_L239_); trivial.
% 22.32/22.40 apply (zenon_L1807_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1808_ *)
% 22.32/22.40 assert (zenon_L1809_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H16a zenon_H18a zenon_H167 zenon_H68 zenon_H3c zenon_H48 zenon_H1f zenon_H1fe zenon_Hf0 zenon_Hef zenon_H8b zenon_H16b.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.40 apply (zenon_L1802_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.40 apply (zenon_L61_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.40 exact (zenon_H8b zenon_H8a).
% 22.32/22.40 exact (zenon_H16b zenon_H93).
% 22.32/22.40 (* end of lemma zenon_L1809_ *)
% 22.32/22.40 assert (zenon_L1810_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H18d zenon_Hb6 zenon_H5d zenon_H3c zenon_H68 zenon_H77 zenon_H10c zenon_Ha9 zenon_H9e zenon_H1c3 zenon_H48 zenon_H167.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.32/22.40 apply (zenon_L115_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.32/22.40 apply (zenon_L17_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.32/22.40 apply (zenon_L296_); trivial.
% 22.32/22.40 apply (zenon_L1803_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1810_ *)
% 22.32/22.40 assert (zenon_L1811_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H13c zenon_H167 zenon_H48 zenon_H1c3 zenon_H77 zenon_H68 zenon_H3c zenon_H5d zenon_Hb6 zenon_H18d zenon_Ha9 zenon_H72 zenon_H9e zenon_Hf5.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.32/22.40 apply (zenon_L46_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.32/22.40 apply (zenon_L1810_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.32/22.40 apply (zenon_L436_); trivial.
% 22.32/22.40 apply (zenon_L262_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1811_ *)
% 22.32/22.40 assert (zenon_L1812_ : (((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 (e0) (e2)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H13a zenon_H33 zenon_Ha0 zenon_H31 zenon_Hfa zenon_Hf0 zenon_H1fe zenon_H1f zenon_H18a zenon_Hf5 zenon_H18d zenon_H5d zenon_H3c zenon_H77 zenon_H1c3 zenon_H48 zenon_H13c zenon_H1c6 zenon_Hb6 zenon_H3d zenon_H167 zenon_H16b zenon_H8b zenon_Ha9 zenon_H2d zenon_H68 zenon_H16a zenon_H9d zenon_H7d.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.40 apply (zenon_L245_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.40 apply (zenon_L55_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.40 apply (zenon_L68_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.32/22.40 apply (zenon_L24_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.32/22.40 apply (zenon_L1809_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.32/22.40 apply (zenon_L1811_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.32/22.40 apply (zenon_L55_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.32/22.40 apply (zenon_L294_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.32/22.40 apply (zenon_L715_); trivial.
% 22.32/22.40 apply (zenon_L44_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1812_ *)
% 22.32/22.40 assert (zenon_L1813_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H92 zenon_H190 zenon_H13e zenon_H16a zenon_H8b zenon_H53 zenon_H77 zenon_H68 zenon_H48 zenon_H13d zenon_H129 zenon_H167 zenon_H141.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.32/22.40 apply (zenon_L327_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.32/22.40 apply (zenon_L111_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.32/22.40 exact (zenon_H13d zenon_H14c).
% 22.32/22.40 apply (zenon_L298_); trivial.
% 22.32/22.40 apply (zenon_L144_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1813_ *)
% 22.32/22.40 assert (zenon_L1814_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H89 zenon_H141 zenon_H167 zenon_H129 zenon_H13d zenon_H48 zenon_H68 zenon_H77 zenon_H53 zenon_H16a zenon_H13e zenon_H190 zenon_H92.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.32/22.40 apply (zenon_L1813_); trivial.
% 22.32/22.40 apply (zenon_L1813_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1814_ *)
% 22.32/22.40 assert (zenon_L1815_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H183 zenon_H9d zenon_Ha9 zenon_H77 zenon_H7f zenon_H72 zenon_H163 zenon_H68 zenon_H167.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.32/22.40 apply (zenon_L91_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.32/22.40 apply (zenon_L169_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.32/22.40 apply (zenon_L227_); trivial.
% 22.32/22.40 apply (zenon_L295_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1815_ *)
% 22.32/22.40 assert (zenon_L1816_ : (((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) (e3)))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H13a zenon_H33 zenon_H18a zenon_H9d zenon_Ha9 zenon_H26a zenon_H1bf zenon_H1f1 zenon_H100 zenon_H3c zenon_H13f zenon_H183 zenon_H77 zenon_H163 zenon_H68 zenon_H167 zenon_H16a zenon_H48 zenon_H1f zenon_H1fe zenon_Hf0 zenon_H8b zenon_H16b zenon_Hfa zenon_H89 zenon_H141 zenon_H129 zenon_H13d zenon_H13e zenon_H190 zenon_H92 zenon_H23c zenon_He4 zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H155.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.40 apply (zenon_L245_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.32/22.40 apply (zenon_L55_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.32/22.40 apply (zenon_L492_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.32/22.40 apply (zenon_L1814_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.32/22.40 apply (zenon_L24_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.32/22.40 apply (zenon_L1809_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.32/22.40 apply (zenon_L1815_); trivial.
% 22.32/22.40 apply (zenon_L748_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.40 apply (zenon_L68_); trivial.
% 22.32/22.40 apply (zenon_L115_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1816_ *)
% 22.32/22.40 assert (zenon_L1817_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((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 (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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))))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H1ef zenon_H125 zenon_H9d zenon_Ha9 zenon_H68 zenon_H2f zenon_H3c zenon_H77 zenon_H13a zenon_H16a zenon_H8b zenon_Hf0 zenon_H1f zenon_H48 zenon_H18a zenon_H167 zenon_H1fe zenon_H13c zenon_Hf5 zenon_H5d zenon_H1c3 zenon_H18d zenon_H1c6 zenon_H7d zenon_H2d zenon_Hfa zenon_H31 zenon_Ha0 zenon_Hb6 zenon_H33 zenon_H23c zenon_H89 zenon_H141 zenon_H129 zenon_H13d zenon_H13e zenon_H190 zenon_H92 zenon_H100 zenon_H1f1 zenon_H1bf zenon_H26a zenon_H13f zenon_H163 zenon_H183 zenon_He4 zenon_H15d.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.40 apply (zenon_L1805_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.40 apply (zenon_L1812_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.40 apply (zenon_L239_); trivial.
% 22.32/22.40 apply (zenon_L1816_); trivial.
% 22.32/22.40 apply (zenon_L644_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1817_ *)
% 22.32/22.40 assert (zenon_L1818_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e3)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_Hc8 zenon_H167 zenon_H9d.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.32/22.40 exact (zenon_H209 zenon_H9d).
% 22.32/22.40 exact (zenon_H162 zenon_H167).
% 22.32/22.40 (* end of lemma zenon_L1818_ *)
% 22.32/22.40 assert (zenon_L1819_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e3)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H36 zenon_H167 zenon_H9d.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.32/22.40 apply (zenon_L1818_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1819_ *)
% 22.32/22.40 assert (zenon_L1820_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H18d zenon_H38 zenon_H5d zenon_H3a zenon_H93 zenon_H77 zenon_H48 zenon_H167.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.32/22.40 apply (zenon_L246_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.32/22.40 apply (zenon_L1206_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.32/22.40 apply (zenon_L218_); trivial.
% 22.32/22.40 apply (zenon_L1803_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1820_ *)
% 22.32/22.40 assert (zenon_L1821_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H1c3 zenon_H10c zenon_H48 zenon_H77 zenon_H3a zenon_H5d zenon_H38 zenon_H18d zenon_H68 zenon_H167.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 22.32/22.40 apply (zenon_L165_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 22.32/22.40 apply (zenon_L294_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 22.32/22.40 apply (zenon_L1820_); trivial.
% 22.32/22.40 apply (zenon_L295_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1821_ *)
% 22.32/22.40 assert (zenon_L1822_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H1c3 zenon_H38 zenon_Ha5 zenon_Ha9 zenon_H128 zenon_H77 zenon_H68 zenon_H167.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 22.32/22.40 apply (zenon_L165_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 22.32/22.40 apply (zenon_L299_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 22.32/22.40 apply (zenon_L218_); trivial.
% 22.32/22.40 apply (zenon_L295_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1822_ *)
% 22.32/22.40 assert (zenon_L1823_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H18d zenon_H5d zenon_H3c zenon_H68 zenon_H77 zenon_Ha9 zenon_Ha5 zenon_H38 zenon_H1c3 zenon_H48 zenon_H167.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.32/22.40 apply (zenon_L246_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.32/22.40 apply (zenon_L17_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.32/22.40 apply (zenon_L1822_); trivial.
% 22.32/22.40 apply (zenon_L1803_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1823_ *)
% 22.32/22.40 assert (zenon_L1824_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H23b zenon_H3a zenon_H13a zenon_Ha0 zenon_H3c zenon_H1c3 zenon_H5d zenon_H77 zenon_H18d zenon_H167 zenon_H68 zenon_H73 zenon_Ha9 zenon_H13c zenon_Hb6 zenon_H1f zenon_H48 zenon_H3d zenon_H237 zenon_H236.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.32/22.40 apply (zenon_L487_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.40 exact (zenon_H1f zenon_H1e).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.40 apply (zenon_L318_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.40 exact (zenon_H237 zenon_H31).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.40 exact (zenon_Ha4 zenon_H9f).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.40 apply (zenon_L55_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.32/22.40 apply (zenon_L46_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.32/22.40 apply (zenon_L1821_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.32/22.40 apply (zenon_L89_); trivial.
% 22.32/22.40 apply (zenon_L1823_); trivial.
% 22.32/22.40 apply (zenon_L156_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1824_ *)
% 22.32/22.40 assert (zenon_L1825_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H125 zenon_H6c zenon_H77 zenon_H18a zenon_H167 zenon_H68 zenon_H3c zenon_H48 zenon_H1f zenon_H1fe zenon_Ha9 zenon_H9d.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.32/22.40 exact (zenon_H6c zenon_H67).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.32/22.40 apply (zenon_L24_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.32/22.40 apply (zenon_L1802_); trivial.
% 22.32/22.40 apply (zenon_L91_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1825_ *)
% 22.32/22.40 assert (zenon_L1826_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H1fe zenon_H18a zenon_H9d zenon_H125 zenon_H236 zenon_H48 zenon_H1f zenon_Hb6 zenon_H13c zenon_Ha9 zenon_H73 zenon_H68 zenon_H167 zenon_H18d zenon_H77 zenon_H5d zenon_H1c3 zenon_Ha0 zenon_H13a zenon_H3a.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.32/22.40 apply (zenon_L1824_); trivial.
% 22.32/22.40 apply (zenon_L1825_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1826_ *)
% 22.32/22.40 assert (zenon_L1827_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H13b zenon_Hec zenon_H77 zenon_H40 zenon_H48 zenon_Heb zenon_He3 zenon_H72 zenon_H68 zenon_H167 zenon_H20f.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.32/22.40 apply (zenon_L60_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.32/22.40 exact (zenon_He3 zenon_He7).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.32/22.40 apply (zenon_L62_); trivial.
% 22.32/22.40 apply (zenon_L421_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1827_ *)
% 22.32/22.40 assert (zenon_L1828_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H15c zenon_H158 zenon_H156 zenon_H3e zenon_Heb zenon_H72 zenon_H77 zenon_H40 zenon_H48 zenon_He3 zenon_H68 zenon_H20f zenon_H167 zenon_H13b.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.32/22.40 apply (zenon_L1827_); trivial.
% 22.32/22.40 apply (zenon_L102_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1828_ *)
% 22.32/22.40 assert (zenon_L1829_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H13b zenon_H167 zenon_H20f zenon_H68 zenon_He3 zenon_H48 zenon_H77 zenon_H72 zenon_Heb zenon_H3e zenon_H156 zenon_H158 zenon_H15c.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.32/22.40 apply (zenon_L1828_); trivial.
% 22.32/22.40 apply (zenon_L1828_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1829_ *)
% 22.32/22.40 assert (zenon_L1830_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H87 zenon_H158 zenon_H156 zenon_Heb zenon_H77 zenon_H48 zenon_H68 zenon_H20f zenon_H167 zenon_H13b zenon_H3c.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.32/22.40 exact (zenon_H7a zenon_H3c).
% 22.32/22.40 apply (zenon_L1829_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1830_ *)
% 22.32/22.40 assert (zenon_L1831_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e3)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H99 zenon_H167 zenon_H9d.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.32/22.40 apply (zenon_L1818_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1831_ *)
% 22.32/22.40 assert (zenon_L1832_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H13c zenon_H167 zenon_H48 zenon_H1c3 zenon_Ha9 zenon_H77 zenon_H68 zenon_H3c zenon_H5d zenon_Hb6 zenon_H18d zenon_Ha0 zenon_Hf3 zenon_H9e zenon_Hf5.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.32/22.40 apply (zenon_L46_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.32/22.40 apply (zenon_L1810_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.32/22.40 apply (zenon_L162_); trivial.
% 22.32/22.40 apply (zenon_L262_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1832_ *)
% 22.32/22.40 assert (zenon_L1833_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H13b zenon_H2a zenon_H173 zenon_Hf5 zenon_H9e zenon_Ha0 zenon_H18d zenon_Hb6 zenon_H5d zenon_H3c zenon_H68 zenon_H77 zenon_Ha9 zenon_H1c3 zenon_H48 zenon_H13c zenon_H167 zenon_H20f.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.32/22.40 apply (zenon_L25_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.32/22.40 apply (zenon_L272_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.32/22.40 apply (zenon_L1832_); trivial.
% 22.32/22.40 apply (zenon_L421_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1833_ *)
% 22.32/22.40 assert (zenon_L1834_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H236 zenon_H1f zenon_H20f zenon_H167 zenon_H13c zenon_H48 zenon_H1c3 zenon_Ha9 zenon_H77 zenon_H68 zenon_H3c zenon_H5d zenon_Hb6 zenon_H18d zenon_Hf5 zenon_H173 zenon_H13b zenon_H237 zenon_H9e zenon_Ha0.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.40 exact (zenon_H1f zenon_H1e).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.40 apply (zenon_L1833_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.40 exact (zenon_H237 zenon_H31).
% 22.32/22.40 apply (zenon_L156_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1834_ *)
% 22.32/22.40 assert (zenon_L1835_ : ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (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 (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_Hcc zenon_H266 zenon_H6f zenon_Hf0 zenon_H55 zenon_H16a zenon_H1f1 zenon_He4 zenon_H33 zenon_H15d zenon_H13e zenon_H190 zenon_H13d zenon_H183 zenon_H163 zenon_H13f zenon_H26a zenon_H100 zenon_H129 zenon_H141 zenon_H23c zenon_Hfa zenon_H1c6 zenon_H1ef zenon_H13a zenon_H73 zenon_H4e zenon_Heb zenon_H156 zenon_H158 zenon_H236 zenon_H48 zenon_H3c zenon_H173 zenon_H13c zenon_Hf5 zenon_Ha0 zenon_H5d zenon_H1c3 zenon_H68 zenon_H77 zenon_H167 zenon_Ha9 zenon_H18d zenon_Hb6 zenon_H20f zenon_H13b zenon_H1f zenon_H125 zenon_H18a zenon_H1fe zenon_H7d zenon_Hbc zenon_H9d.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.32/22.40 apply (zenon_L2_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.32/22.40 apply (zenon_L26_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.32/22.40 apply (zenon_L1808_); trivial.
% 22.32/22.40 apply (zenon_L1808_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.32/22.40 apply (zenon_L1817_); trivial.
% 22.32/22.40 apply (zenon_L1817_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.32/22.40 apply (zenon_L1819_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.32/22.40 apply (zenon_L1826_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.32/22.40 apply (zenon_L11_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.32/22.40 apply (zenon_L16_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.32/22.40 apply (zenon_L18_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.32/22.40 apply (zenon_L1802_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.32/22.40 apply (zenon_L1830_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.32/22.40 apply (zenon_L37_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.32/22.40 apply (zenon_L1831_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.32/22.40 apply (zenon_L1834_); trivial.
% 22.32/22.40 apply (zenon_L1825_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.32/22.40 apply (zenon_L221_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.32/22.40 apply (zenon_L201_); trivial.
% 22.32/22.40 apply (zenon_L51_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1835_ *)
% 22.32/22.40 assert (zenon_L1836_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (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 (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H1c0 zenon_H3c zenon_H48 zenon_H13a zenon_H1fe zenon_H18a zenon_H1f zenon_H18d zenon_H5d zenon_Ha0 zenon_Hb6 zenon_H266 zenon_H6f zenon_Hf0 zenon_H55 zenon_H16a zenon_H77 zenon_H68 zenon_H1f1 zenon_He4 zenon_H33 zenon_H15d zenon_H13e zenon_H190 zenon_H13d zenon_Ha9 zenon_H125 zenon_H183 zenon_H163 zenon_H13f zenon_H26a zenon_H100 zenon_H129 zenon_H141 zenon_H23c zenon_Hfa zenon_H7d zenon_H1c6 zenon_H1c3 zenon_Hf5 zenon_H13c zenon_H1ef zenon_H73 zenon_H236 zenon_H4e zenon_H13b zenon_H20f zenon_Heb zenon_H156 zenon_H158 zenon_H173 zenon_Hbc zenon_Hcc zenon_H167.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H162 | zenon_intro zenon_H9d ].
% 22.32/22.40 exact (zenon_H162 zenon_H167).
% 22.32/22.40 apply (zenon_L1835_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1836_ *)
% 22.32/22.40 assert (zenon_L1837_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (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 (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H164 zenon_H2d zenon_H109 zenon_He7 zenon_H11a zenon_H31 zenon_H177 zenon_H1c0 zenon_H3c zenon_H48 zenon_H13a zenon_H1fe zenon_H18a zenon_H1f zenon_H18d zenon_H5d zenon_Ha0 zenon_Hb6 zenon_H266 zenon_H6f zenon_Hf0 zenon_H55 zenon_H16a zenon_H77 zenon_H68 zenon_H1f1 zenon_He4 zenon_H33 zenon_H15d zenon_H13e zenon_H190 zenon_H13d zenon_Ha9 zenon_H125 zenon_H183 zenon_H163 zenon_H13f zenon_H26a zenon_H100 zenon_H129 zenon_H141 zenon_H23c zenon_Hfa zenon_H7d zenon_H1c6 zenon_H1c3 zenon_Hf5 zenon_H13c zenon_H1ef zenon_H73 zenon_H236 zenon_H4e zenon_H13b zenon_H20f zenon_Heb zenon_H156 zenon_H158 zenon_H173 zenon_Hbc zenon_Hcc.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.32/22.40 apply (zenon_L359_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.32/22.40 apply (zenon_L1801_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.32/22.40 apply (zenon_L406_); trivial.
% 22.32/22.40 apply (zenon_L1836_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1837_ *)
% 22.32/22.40 assert (zenon_L1838_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (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 (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H2f zenon_H164 zenon_H109 zenon_He7 zenon_H11a zenon_H177 zenon_H1c0 zenon_H3c zenon_H48 zenon_H13a zenon_H1fe zenon_H18a zenon_H1f zenon_H18d zenon_H5d zenon_Ha0 zenon_Hb6 zenon_H266 zenon_H6f zenon_Hf0 zenon_H55 zenon_H16a zenon_H77 zenon_H68 zenon_H1f1 zenon_He4 zenon_H33 zenon_H15d zenon_H13e zenon_H190 zenon_H13d zenon_Ha9 zenon_H125 zenon_H183 zenon_H163 zenon_H13f zenon_H26a zenon_H100 zenon_H129 zenon_H141 zenon_H23c zenon_Hfa zenon_H7d zenon_H1c6 zenon_H1c3 zenon_Hf5 zenon_H13c zenon_H1ef zenon_H73 zenon_H236 zenon_H4e zenon_H13b zenon_H20f zenon_Heb zenon_H156 zenon_H158 zenon_H173 zenon_Hbc zenon_Hcc.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 22.32/22.40 apply (zenon_L1837_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1838_ *)
% 22.32/22.40 assert (zenon_L1839_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H141 zenon_H34 zenon_H109 zenon_He7 zenon_Hf0 zenon_H13d zenon_H196 zenon_H38.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.32/22.40 apply (zenon_L359_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.32/22.40 apply (zenon_L929_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.32/22.40 exact (zenon_H13d zenon_H14c).
% 22.32/22.40 apply (zenon_L1162_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1839_ *)
% 22.32/22.40 assert (zenon_L1840_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H36 zenon_H141 zenon_H109 zenon_He7 zenon_Hf0 zenon_H13d zenon_H196.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.32/22.40 apply (zenon_L1839_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1840_ *)
% 22.32/22.40 assert (zenon_L1841_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H3d zenon_H67 zenon_H105 zenon_H38 zenon_Ha0.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.40 exact (zenon_Ha4 zenon_H9f).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.40 apply (zenon_L55_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.40 apply (zenon_L446_); trivial.
% 22.32/22.40 apply (zenon_L156_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1841_ *)
% 22.32/22.40 assert (zenon_L1842_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H3d zenon_H111 zenon_H110 zenon_H38 zenon_Ha0.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.40 exact (zenon_Ha4 zenon_H9f).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.40 apply (zenon_L55_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.40 apply (zenon_L75_); trivial.
% 22.32/22.40 apply (zenon_L156_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1842_ *)
% 22.32/22.40 assert (zenon_L1843_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H3a zenon_Hb6 zenon_H111 zenon_H110 zenon_Ha0 zenon_H13a zenon_H38.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.32/22.40 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.32/22.40 exact (zenon_H238 zenon_H38).
% 22.32/22.40 apply (zenon_L1842_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1843_ *)
% 22.32/22.40 assert (zenon_L1844_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((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)) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H117 zenon_H109 zenon_H9d zenon_H10c zenon_Hf0 zenon_H13a zenon_Ha0 zenon_H111 zenon_H3a zenon_H18d zenon_H48 zenon_H38 zenon_H5d zenon_H3c zenon_Hb6 zenon_H106 zenon_H1cb.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.32/22.40 apply (zenon_L73_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.32/22.40 apply (zenon_L74_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.32/22.40 apply (zenon_L1843_); trivial.
% 22.32/22.40 apply (zenon_L1151_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1844_ *)
% 22.32/22.40 assert (zenon_L1845_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((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)) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H201 zenon_Hfe zenon_H4e zenon_H67 zenon_H3d zenon_Ha4 zenon_H117 zenon_H109 zenon_H9d zenon_H10c zenon_Hf0 zenon_H13a zenon_Ha0 zenon_H111 zenon_H3a zenon_H18d zenon_H48 zenon_H38 zenon_H5d zenon_H3c zenon_Hb6 zenon_H1cb.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.32/22.40 apply (zenon_L95_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.32/22.40 apply (zenon_L14_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.32/22.40 apply (zenon_L1841_); trivial.
% 22.32/22.40 apply (zenon_L1844_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1845_ *)
% 22.32/22.40 assert (zenon_L1846_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H12e zenon_H48 zenon_H34 zenon_H3d zenon_H192 zenon_H160 zenon_H77 zenon_Hf6 zenon_H9f.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.32/22.40 apply (zenon_L456_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.32/22.40 apply (zenon_L146_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.32/22.40 apply (zenon_L367_); trivial.
% 22.32/22.40 apply (zenon_L673_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1846_ *)
% 22.32/22.40 assert (zenon_L1847_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H125 zenon_H6c zenon_H77 zenon_H3c zenon_H6d zenon_H55 zenon_H34 zenon_H68.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.32/22.40 exact (zenon_H6c zenon_H67).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.32/22.40 apply (zenon_L24_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.32/22.40 apply (zenon_L34_); trivial.
% 22.32/22.40 apply (zenon_L291_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1847_ *)
% 22.32/22.40 assert (zenon_L1848_ : (((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) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Ha9 zenon_H72 zenon_H105 zenon_H12e zenon_H48 zenon_H34 zenon_H77 zenon_H171 zenon_Hb6 zenon_Hf6 zenon_H9f.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.32/22.40 apply (zenon_L68_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.32/22.40 apply (zenon_L436_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.32/22.40 apply (zenon_L400_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.32/22.40 apply (zenon_L456_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.32/22.40 apply (zenon_L169_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.32/22.40 apply (zenon_L363_); trivial.
% 22.32/22.40 apply (zenon_L673_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1848_ *)
% 22.32/22.40 assert (zenon_L1849_ : (((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 (e1) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H1cf zenon_H68 zenon_H31 zenon_Ha9 zenon_H133 zenon_H1ef zenon_H65 zenon_H77 zenon_H106.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.32/22.40 apply (zenon_L264_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.32/22.40 apply (zenon_L436_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.32/22.40 apply (zenon_L533_); trivial.
% 22.32/22.40 apply (zenon_L367_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1849_ *)
% 22.32/22.40 assert (zenon_L1850_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H1a2 zenon_Ha0 zenon_H77 zenon_H65 zenon_H1ef zenon_Ha9 zenon_H31 zenon_H68 zenon_H1cf zenon_H190 zenon_H10d zenon_Hb6 zenon_H106.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.32/22.40 apply (zenon_L68_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.32/22.40 apply (zenon_L1849_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.32/22.40 apply (zenon_L163_); trivial.
% 22.32/22.40 apply (zenon_L363_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1850_ *)
% 22.32/22.40 assert (zenon_L1851_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H266 zenon_He7 zenon_Hf0 zenon_H128 zenon_H189 zenon_H68 zenon_H34 zenon_H55 zenon_H3c zenon_H77 zenon_H6c zenon_H125 zenon_H110 zenon_H190.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_Hdd | zenon_intro zenon_H267 ].
% 22.32/22.40 apply (zenon_L929_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H53 | zenon_intro zenon_H268 ].
% 22.32/22.40 apply (zenon_L139_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H6d | zenon_intro zenon_H10d ].
% 22.32/22.40 apply (zenon_L1847_); trivial.
% 22.32/22.40 apply (zenon_L163_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1851_ *)
% 22.32/22.40 assert (zenon_L1852_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H201 zenon_H1d8 zenon_H3d zenon_H4e zenon_H48 zenon_H12e zenon_H72 zenon_H117 zenon_H1cf zenon_H31 zenon_H1ef zenon_H65 zenon_Ha0 zenon_H1a2 zenon_H1cb zenon_H266 zenon_He7 zenon_Hf0 zenon_H189 zenon_H68 zenon_H34 zenon_H55 zenon_H3c zenon_H77 zenon_H6c zenon_H125 zenon_H190 zenon_H5d zenon_Hf6 zenon_H18d zenon_H121 zenon_H33 zenon_H9f zenon_H171 zenon_Ha9 zenon_Hb6 zenon_H129.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.32/22.40 apply (zenon_L738_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.32/22.40 apply (zenon_L14_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.32/22.40 apply (zenon_L1848_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.32/22.40 apply (zenon_L43_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.32/22.40 apply (zenon_L1850_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.32/22.40 apply (zenon_L98_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.32/22.40 apply (zenon_L17_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.32/22.40 apply (zenon_L1851_); trivial.
% 22.32/22.40 apply (zenon_L846_); trivial.
% 22.32/22.40 apply (zenon_L493_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1852_ *)
% 22.32/22.40 assert (zenon_L1853_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H139 zenon_H6c zenon_H77 zenon_H3d zenon_H68 zenon_H31 zenon_Ha9 zenon_H9e.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.40 exact (zenon_H6c zenon_H67).
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.40 apply (zenon_L214_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.40 apply (zenon_L264_); trivial.
% 22.32/22.40 apply (zenon_L92_); trivial.
% 22.32/22.40 (* end of lemma zenon_L1853_ *)
% 22.32/22.40 assert (zenon_L1854_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 22.32/22.40 do 0 intro. intros zenon_H13a zenon_Hf6 zenon_Hf5 zenon_H1a8 zenon_H156 zenon_H201 zenon_H1d8 zenon_H4e zenon_H48 zenon_H12e zenon_H117 zenon_H1cf zenon_H1ef zenon_H65 zenon_H1a2 zenon_H1cb zenon_H266 zenon_He7 zenon_Hf0 zenon_H189 zenon_H34 zenon_H55 zenon_H3c zenon_H125 zenon_H190 zenon_H5d zenon_H18d zenon_H121 zenon_H33 zenon_H129 zenon_H192 zenon_Hfa zenon_Hb6 zenon_Ha0 zenon_H139 zenon_H6c zenon_H77 zenon_H3d zenon_H68 zenon_H31 zenon_Ha9.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.32/22.40 apply (zenon_L24_); trivial.
% 22.32/22.40 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.32/22.40 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.32/22.40 apply (zenon_L264_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.32/22.41 apply (zenon_L100_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.32/22.41 apply (zenon_L1132_); trivial.
% 22.32/22.41 apply (zenon_L1846_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.32/22.41 apply (zenon_L214_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.32/22.41 apply (zenon_L100_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.32/22.41 apply (zenon_L1847_); trivial.
% 22.32/22.41 apply (zenon_L1852_); trivial.
% 22.32/22.41 apply (zenon_L63_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.41 apply (zenon_L55_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.41 apply (zenon_L68_); trivial.
% 22.32/22.41 apply (zenon_L1853_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1854_ *)
% 22.32/22.41 assert (zenon_L1855_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H3d zenon_Ha0 zenon_H31 zenon_Ha9 zenon_Hf6.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.41 exact (zenon_Ha4 zenon_H9f).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.41 apply (zenon_L55_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.41 apply (zenon_L68_); trivial.
% 22.32/22.41 apply (zenon_L92_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1855_ *)
% 22.32/22.41 assert (zenon_L1856_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H139 zenon_H6c zenon_H77 zenon_H68 zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H3d zenon_Ha0 zenon_H31 zenon_Ha9.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.41 exact (zenon_H6c zenon_H67).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.41 apply (zenon_L214_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.41 apply (zenon_L264_); trivial.
% 22.32/22.41 apply (zenon_L1855_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1856_ *)
% 22.32/22.41 assert (zenon_L1857_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H139 zenon_H6c zenon_H77 zenon_Ha0 zenon_Ha9 zenon_H3d zenon_Hb6 zenon_Ha4 zenon_H13a zenon_H38 zenon_H68.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.41 exact (zenon_H6c zenon_H67).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.41 apply (zenon_L214_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.41 apply (zenon_L488_); trivial.
% 22.32/22.41 apply (zenon_L165_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1857_ *)
% 22.32/22.41 assert (zenon_L1858_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H236 zenon_H1f zenon_H205 zenon_H139 zenon_H6c zenon_H77 zenon_Ha0 zenon_Ha9 zenon_H3d zenon_Hb6 zenon_Ha4 zenon_H13a zenon_H68.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.41 exact (zenon_H1f zenon_H1e).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.41 exact (zenon_H205 zenon_H2a).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.41 apply (zenon_L1856_); trivial.
% 22.32/22.41 apply (zenon_L1857_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1858_ *)
% 22.32/22.41 assert (zenon_L1859_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e3) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H23d zenon_H1f zenon_H4c zenon_H6c zenon_H11f zenon_Hf6.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1e | zenon_intro zenon_H23e ].
% 22.32/22.41 exact (zenon_H1f zenon_H1e).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H47 | zenon_intro zenon_H23f ].
% 22.32/22.41 exact (zenon_H4c zenon_H47).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H67 | zenon_intro zenon_H9f ].
% 22.32/22.41 exact (zenon_H6c zenon_H67).
% 22.32/22.41 apply (zenon_L673_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1859_ *)
% 22.32/22.41 assert (zenon_L1860_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H236 zenon_H48 zenon_H3a zenon_H11f zenon_H6c zenon_H4c zenon_H1f zenon_H23d zenon_H68 zenon_H3d zenon_H77 zenon_H139 zenon_H238.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.41 exact (zenon_H1f zenon_H1e).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.41 apply (zenon_L318_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.41 exact (zenon_H6c zenon_H67).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.41 apply (zenon_L214_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.41 apply (zenon_L264_); trivial.
% 22.32/22.41 apply (zenon_L1859_); trivial.
% 22.32/22.41 exact (zenon_H238 zenon_H38).
% 22.32/22.41 (* end of lemma zenon_L1860_ *)
% 22.32/22.41 assert (zenon_L1861_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H23d zenon_H1f zenon_H4c zenon_H6c zenon_Ha4.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1e | zenon_intro zenon_H23e ].
% 22.32/22.41 exact (zenon_H1f zenon_H1e).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H47 | zenon_intro zenon_H23f ].
% 22.32/22.41 exact (zenon_H4c zenon_H47).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H67 | zenon_intro zenon_H9f ].
% 22.32/22.41 exact (zenon_H6c zenon_H67).
% 22.32/22.41 exact (zenon_Ha4 zenon_H9f).
% 22.32/22.41 (* end of lemma zenon_L1861_ *)
% 22.32/22.41 assert (zenon_L1862_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H23b zenon_H1f zenon_H3a zenon_H48 zenon_H139 zenon_H4c zenon_H11f zenon_H23d zenon_H68 zenon_H3d zenon_H77 zenon_H6c zenon_H236.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.32/22.41 apply (zenon_L1860_); trivial.
% 22.32/22.41 apply (zenon_L1861_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1862_ *)
% 22.32/22.41 assert (zenon_L1863_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H12e zenon_H34 zenon_H192 zenon_H160 zenon_H23b zenon_H1f zenon_H3a zenon_H48 zenon_H139 zenon_H4c zenon_H23d zenon_H68 zenon_H3d zenon_H77 zenon_H6c zenon_H236.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.32/22.41 apply (zenon_L456_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.32/22.41 apply (zenon_L146_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.32/22.41 apply (zenon_L367_); trivial.
% 22.32/22.41 apply (zenon_L1862_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1863_ *)
% 22.32/22.41 assert (zenon_L1864_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H1cf zenon_H31 zenon_H156 zenon_Hef zenon_H1ef zenon_H65 zenon_H12e zenon_H34 zenon_H192 zenon_H23b zenon_H1f zenon_H3a zenon_H48 zenon_H139 zenon_H4c zenon_H23d zenon_H68 zenon_H3d zenon_H77 zenon_H6c zenon_H236.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.32/22.41 apply (zenon_L264_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.32/22.41 apply (zenon_L100_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.32/22.41 apply (zenon_L533_); trivial.
% 22.32/22.41 apply (zenon_L1863_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1864_ *)
% 22.32/22.41 assert (zenon_L1865_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H240 zenon_H3c zenon_Hfa zenon_Hf5 zenon_H55 zenon_H201 zenon_H190 zenon_H18d zenon_H1cb zenon_Hf0 zenon_He7 zenon_H189 zenon_H125 zenon_H266 zenon_H5d zenon_H121 zenon_H129 zenon_H33 zenon_H117 zenon_H1a2 zenon_H4e zenon_H1d8 zenon_H1a8 zenon_H156 zenon_H1ef zenon_H12e zenon_H23d zenon_H4c zenon_H3a zenon_H192 zenon_H1cf zenon_H1fe zenon_H236 zenon_H3d zenon_H48 zenon_H1f zenon_H2c zenon_H65 zenon_H77 zenon_H13a zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H68 zenon_H139 zenon_H23b.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.32/22.41 apply (zenon_L491_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.41 exact (zenon_H1f zenon_H1e).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.41 apply (zenon_L65_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.41 exact (zenon_H1f zenon_H1e).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.41 apply (zenon_L25_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.41 apply (zenon_L27_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.41 exact (zenon_H6c zenon_H67).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.41 apply (zenon_L214_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.41 apply (zenon_L264_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.32/22.41 apply (zenon_L24_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.32/22.41 apply (zenon_L1864_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.32/22.41 apply (zenon_L214_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.32/22.41 apply (zenon_L1864_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.32/22.41 apply (zenon_L34_); trivial.
% 22.32/22.41 apply (zenon_L1852_); trivial.
% 22.32/22.41 apply (zenon_L63_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.41 apply (zenon_L55_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.41 apply (zenon_L68_); trivial.
% 22.32/22.41 apply (zenon_L92_); trivial.
% 22.32/22.41 exact (zenon_H238 zenon_H38).
% 22.32/22.41 apply (zenon_L1861_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1865_ *)
% 22.32/22.41 assert (zenon_L1866_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e3)) = (e0))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H236 zenon_H1f zenon_H205 zenon_H68 zenon_H66 zenon_H238.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.41 exact (zenon_H1f zenon_H1e).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.41 exact (zenon_H205 zenon_H2a).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.41 apply (zenon_L264_); trivial.
% 22.32/22.41 exact (zenon_H238 zenon_H38).
% 22.32/22.41 (* end of lemma zenon_L1866_ *)
% 22.32/22.41 assert (zenon_L1867_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H23b zenon_H237 zenon_H15d zenon_H48 zenon_H77 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H13a zenon_H3c zenon_H24 zenon_H1f zenon_H205 zenon_H68 zenon_H66 zenon_H236.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.32/22.41 apply (zenon_L1866_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.41 exact (zenon_H1f zenon_H1e).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.41 exact (zenon_H205 zenon_H2a).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.41 exact (zenon_H237 zenon_H31).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.41 apply (zenon_L1475_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.41 apply (zenon_L488_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.41 apply (zenon_L94_); trivial.
% 22.32/22.41 apply (zenon_L246_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1867_ *)
% 22.32/22.41 assert (zenon_L1868_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H240 zenon_H139 zenon_H236 zenon_H66 zenon_H68 zenon_H205 zenon_H1f zenon_H24 zenon_H3c zenon_H13a zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H77 zenon_H48 zenon_H15d zenon_H23b.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.32/22.41 apply (zenon_L1867_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.32/22.41 apply (zenon_L1866_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.41 exact (zenon_H1f zenon_H1e).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.41 exact (zenon_H205 zenon_H2a).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.41 apply (zenon_L264_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.41 apply (zenon_L1475_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.41 apply (zenon_L1857_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.41 apply (zenon_L94_); trivial.
% 22.32/22.41 apply (zenon_L246_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1868_ *)
% 22.32/22.41 assert (zenon_L1869_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e3)) = (e0))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H236 zenon_H1f zenon_He7 zenon_H173 zenon_H68 zenon_H66 zenon_H238.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.41 exact (zenon_H1f zenon_H1e).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.41 apply (zenon_L272_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.41 apply (zenon_L264_); trivial.
% 22.32/22.41 exact (zenon_H238 zenon_H38).
% 22.32/22.41 (* end of lemma zenon_L1869_ *)
% 22.32/22.41 assert (zenon_L1870_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H63 zenon_He7 zenon_H173 zenon_H23d zenon_H1d5 zenon_H15d zenon_H48 zenon_H77 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H13a zenon_H3c zenon_H24 zenon_H1f zenon_H68 zenon_H236 zenon_H139.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.32/22.41 apply (zenon_L1868_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.32/22.41 apply (zenon_L1869_); trivial.
% 22.32/22.41 apply (zenon_L601_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1870_ *)
% 22.32/22.41 assert (zenon_L1871_ : ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H44 zenon_He7 zenon_H3c.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.32/22.41 exact (zenon_H7a zenon_H3c).
% 22.32/22.41 exact (zenon_He3 zenon_He7).
% 22.32/22.41 (* end of lemma zenon_L1871_ *)
% 22.32/22.41 assert (zenon_L1872_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H87 zenon_He7 zenon_H3c.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.32/22.41 apply (zenon_L1871_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1872_ *)
% 22.32/22.41 assert (zenon_L1873_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H236 zenon_H1f zenon_H205 zenon_H237 zenon_H9e zenon_Ha0.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.41 exact (zenon_H1f zenon_H1e).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.41 exact (zenon_H205 zenon_H2a).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.41 exact (zenon_H237 zenon_H31).
% 22.32/22.41 apply (zenon_L156_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1873_ *)
% 22.32/22.41 assert (zenon_L1874_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((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)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H139 zenon_H6c zenon_H77 zenon_H68 zenon_H13a zenon_H33 zenon_H9d zenon_Hb6 zenon_H3d zenon_Ha0 zenon_H31 zenon_Ha9.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.41 exact (zenon_H6c zenon_H67).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.41 apply (zenon_L214_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.41 apply (zenon_L264_); trivial.
% 22.32/22.41 apply (zenon_L708_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1874_ *)
% 22.32/22.41 assert (zenon_L1875_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H240 zenon_H15d zenon_H48 zenon_H77 zenon_H68 zenon_H13a zenon_Ha9 zenon_Hb6 zenon_H9d zenon_H33 zenon_H139 zenon_H3c zenon_H24 zenon_H9b zenon_H1f zenon_H205 zenon_Ha0 zenon_H9e zenon_H236.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.32/22.41 apply (zenon_L1873_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.41 exact (zenon_H1f zenon_H1e).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.41 exact (zenon_H205 zenon_H2a).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.41 apply (zenon_L1475_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.41 apply (zenon_L1874_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.41 apply (zenon_L239_); trivial.
% 22.32/22.41 apply (zenon_L115_); trivial.
% 22.32/22.41 apply (zenon_L1353_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1875_ *)
% 22.32/22.41 assert (zenon_L1876_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H240 zenon_H33 zenon_H9d zenon_H23d zenon_H1f zenon_H15d zenon_Hb6 zenon_H2c zenon_H65 zenon_H68 zenon_H77 zenon_Ha9 zenon_H9e zenon_H139 zenon_H48 zenon_H4c zenon_Ha0 zenon_H236.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.32/22.41 apply (zenon_L499_); trivial.
% 22.32/22.41 apply (zenon_L611_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1876_ *)
% 22.32/22.41 assert (zenon_L1877_ : ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H65 zenon_H2c zenon_H23d zenon_H236 zenon_Ha0 zenon_H1f zenon_H9b zenon_H24 zenon_H3c zenon_H139 zenon_H33 zenon_Hb6 zenon_Ha9 zenon_H13a zenon_H68 zenon_H77 zenon_H48 zenon_H15d.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.32/22.41 apply (zenon_L1875_); trivial.
% 22.32/22.41 apply (zenon_L1876_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1877_ *)
% 22.32/22.41 assert (zenon_L1878_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> False).
% 22.32/22.41 do 0 intro. intros zenon_Hb1 zenon_He7 zenon_H3c.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.32/22.41 apply (zenon_L1871_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1878_ *)
% 22.32/22.41 assert (zenon_L1879_ : (((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)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H13a zenon_H33 zenon_H9d zenon_Hb6 zenon_H3d zenon_Ha9 zenon_H66 zenon_H38 zenon_Ha0.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.41 apply (zenon_L245_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.41 apply (zenon_L55_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.41 apply (zenon_L193_); trivial.
% 22.32/22.41 apply (zenon_L156_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1879_ *)
% 22.32/22.41 assert (zenon_L1880_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e3) (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) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H139 zenon_H2c zenon_H65 zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_H9d zenon_H33 zenon_H13a zenon_H153 zenon_H77 zenon_H38 zenon_H68.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.41 apply (zenon_L180_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.41 apply (zenon_L1408_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.41 apply (zenon_L94_); trivial.
% 22.32/22.41 apply (zenon_L165_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1880_ *)
% 22.32/22.41 assert (zenon_L1881_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H23b zenon_H1f zenon_H205 zenon_H139 zenon_H33 zenon_H9d zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H13a zenon_H68 zenon_H3d zenon_H77 zenon_H6c zenon_H236.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.41 exact (zenon_H1f zenon_H1e).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.41 exact (zenon_H205 zenon_H2a).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.41 apply (zenon_L1874_); trivial.
% 22.32/22.41 exact (zenon_H238 zenon_H38).
% 22.32/22.41 apply (zenon_L1858_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1881_ *)
% 22.32/22.41 assert (zenon_L1882_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H240 zenon_H9d zenon_H33 zenon_H205 zenon_H236 zenon_H3d zenon_H48 zenon_H1f zenon_H2c zenon_H65 zenon_H77 zenon_H13a zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H68 zenon_H139 zenon_H23b.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.32/22.41 apply (zenon_L491_); trivial.
% 22.32/22.41 apply (zenon_L1881_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1882_ *)
% 22.32/22.41 assert (zenon_L1883_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H204 zenon_H23d zenon_H23b zenon_H139 zenon_H68 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H13a zenon_H77 zenon_H65 zenon_H2c zenon_H1f zenon_H48 zenon_H3d zenon_H236 zenon_H33 zenon_H9d zenon_H240.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.32/22.41 apply (zenon_L1882_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.32/22.41 apply (zenon_L491_); trivial.
% 22.32/22.41 apply (zenon_L611_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1883_ *)
% 22.32/22.41 assert (zenon_L1884_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H3a zenon_H23d zenon_H139 zenon_H68 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H13a zenon_H77 zenon_H65 zenon_H2c zenon_H1f zenon_H48 zenon_H236 zenon_H33 zenon_H9d.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.32/22.41 apply (zenon_L1883_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1884_ *)
% 22.32/22.41 assert (zenon_L1885_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H23b zenon_H1d5 zenon_H23d zenon_H1f zenon_H15d zenon_H33 zenon_H9d zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H13a zenon_H66 zenon_H77 zenon_H48 zenon_H4c zenon_H237 zenon_H236.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.32/22.41 apply (zenon_L590_); trivial.
% 22.32/22.41 apply (zenon_L601_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1885_ *)
% 22.32/22.41 assert (zenon_L1886_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H240 zenon_H236 zenon_H4c zenon_H48 zenon_H77 zenon_H66 zenon_H13a zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H9d zenon_H33 zenon_H15d zenon_H1f zenon_H23d zenon_H1d5 zenon_H23b.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.32/22.41 apply (zenon_L1885_); trivial.
% 22.32/22.41 apply (zenon_L611_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1886_ *)
% 22.32/22.41 assert (zenon_L1887_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H204 zenon_H1d5 zenon_H23d zenon_H33 zenon_H9d zenon_H23b zenon_H15d zenon_H48 zenon_H77 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H13a zenon_H3c zenon_H24 zenon_H1f zenon_H68 zenon_H66 zenon_H236 zenon_H139 zenon_H240.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.32/22.41 apply (zenon_L1868_); trivial.
% 22.32/22.41 apply (zenon_L1886_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1887_ *)
% 22.32/22.41 assert (zenon_L1888_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H63 zenon_H1d5 zenon_H23d zenon_H33 zenon_H9d zenon_H15d zenon_H48 zenon_H77 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H13a zenon_H3c zenon_H24 zenon_H1f zenon_H68 zenon_H236 zenon_H139.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.32/22.41 apply (zenon_L1887_); trivial.
% 22.32/22.41 (* end of lemma zenon_L1888_ *)
% 22.32/22.41 assert (zenon_L1889_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((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 (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> False).
% 22.32/22.41 do 0 intro. intros zenon_H1c0 zenon_H3c zenon_H48 zenon_H65 zenon_H68 zenon_H183 zenon_H24e zenon_H1cd zenon_H7d zenon_H192 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1c3 zenon_H104 zenon_H15d zenon_H2c zenon_H77 zenon_H13c zenon_H109 zenon_H117 zenon_H195 zenon_Ha0 zenon_H186 zenon_H190 zenon_H1a2 zenon_Ha9 zenon_Hf0 zenon_He7 zenon_H196 zenon_H141 zenon_H33 zenon_H11a zenon_H121 zenon_Hb6 zenon_H73 zenon_H1cf zenon_H18a zenon_H1bb zenon_H1ef zenon_He4 zenon_H1f1 zenon_H1b7 zenon_H13f zenon_H4e zenon_H5d zenon_H1cb zenon_H18d zenon_H6f zenon_H201 zenon_H23c zenon_H1d8 zenon_H13a zenon_Hfa zenon_H139 zenon_H24 zenon_H173 zenon_H231 zenon_Hbc zenon_H25b zenon_Hf5 zenon_H26a zenon_H1c6 zenon_H55 zenon_H189 zenon_H266 zenon_H1a8 zenon_H156 zenon_H125 zenon_H12e zenon_H1fe zenon_H236 zenon_H1f zenon_H23d zenon_H1d5 zenon_H94 zenon_Hcc.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H162 | zenon_intro zenon_H9d ].
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.32/22.41 apply (zenon_L2_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.32/22.41 apply (zenon_L26_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.32/22.41 apply (zenon_L28_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.32/22.41 apply (zenon_L1765_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.32/22.41 apply (zenon_L491_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.41 exact (zenon_H1f zenon_H1e).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.41 exact (zenon_H205 zenon_H2a).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.41 exact (zenon_H1f zenon_H1e).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.41 apply (zenon_L25_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.41 apply (zenon_L27_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.41 exact (zenon_H6c zenon_H67).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.41 apply (zenon_L214_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.41 apply (zenon_L264_); trivial.
% 22.32/22.41 apply (zenon_L1854_); trivial.
% 22.32/22.41 exact (zenon_H238 zenon_H38).
% 22.32/22.41 apply (zenon_L1858_); trivial.
% 22.32/22.41 apply (zenon_L1865_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.32/22.41 apply (zenon_L11_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.32/22.41 apply (zenon_L16_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.32/22.41 apply (zenon_L18_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.32/22.41 apply (zenon_L1870_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.32/22.41 apply (zenon_L1872_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.32/22.41 apply (zenon_L37_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.32/22.41 apply (zenon_L39_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.32/22.41 apply (zenon_L1877_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.32/22.41 apply (zenon_L1878_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.32/22.41 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.32/22.41 exact (zenon_H7b zenon_H65).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.41 exact (zenon_H1f zenon_H1e).
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.41 apply (zenon_L25_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.41 apply (zenon_L27_); trivial.
% 22.32/22.41 apply (zenon_L1104_); trivial.
% 22.32/22.41 apply (zenon_L51_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.32/22.41 apply (zenon_L2_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.32/22.41 apply (zenon_L26_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.32/22.41 apply (zenon_L28_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.32/22.41 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.41 apply (zenon_L1475_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.41 apply (zenon_L180_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.41 apply (zenon_L214_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.41 apply (zenon_L1879_); trivial.
% 22.32/22.41 apply (zenon_L165_); trivial.
% 22.32/22.41 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.41 apply (zenon_L1880_); trivial.
% 22.32/22.42 apply (zenon_L246_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.32/22.42 apply (zenon_L1884_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.32/22.42 apply (zenon_L11_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.32/22.42 apply (zenon_L16_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.32/22.42 apply (zenon_L18_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.32/22.42 apply (zenon_L1888_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.32/22.42 apply (zenon_L35_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.32/22.42 apply (zenon_L37_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.32/22.42 apply (zenon_L39_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.32/22.42 apply (zenon_L1877_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.32/22.42 apply (zenon_L221_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.32/22.42 apply (zenon_L201_); trivial.
% 22.32/22.42 apply (zenon_L51_); trivial.
% 22.32/22.42 (* end of lemma zenon_L1889_ *)
% 22.32/22.42 assert (zenon_L1890_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((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 (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 22.32/22.42 do 0 intro. intros zenon_H3a zenon_H111 zenon_Ha4 zenon_H77 zenon_H183 zenon_Ha9 zenon_H38 zenon_H68 zenon_H1c3 zenon_H104 zenon_H24e zenon_He7 zenon_H11a zenon_H3d zenon_H192 zenon_H1b7 zenon_H1c0 zenon_H3c zenon_H48 zenon_H1cd zenon_H1b4 zenon_H20f zenon_H129 zenon_H15d zenon_H2c zenon_H13c zenon_H109 zenon_H117 zenon_H195 zenon_Ha0 zenon_H186 zenon_H190 zenon_H1a2 zenon_Hf0 zenon_H196 zenon_H141 zenon_H33 zenon_H121 zenon_Hb6 zenon_H73 zenon_H1cf zenon_H18a zenon_H1bb zenon_H1ef zenon_He4 zenon_H1f1 zenon_H13f zenon_H4e zenon_H5d zenon_H1cb zenon_H18d zenon_H6f zenon_H201 zenon_H23c zenon_H1d8 zenon_H13a zenon_Hfa zenon_H139 zenon_H24 zenon_H173 zenon_H231 zenon_Hbc zenon_H25b zenon_Hf5 zenon_H26a zenon_H1c6 zenon_H55 zenon_H189 zenon_H266 zenon_H1a8 zenon_H156 zenon_H125 zenon_H12e zenon_H1fe zenon_H236 zenon_H1f zenon_H23d zenon_H1d5 zenon_H94 zenon_Hcc zenon_H16a zenon_Hfe zenon_H67 zenon_H2d zenon_H9d zenon_H7d.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.32/22.42 apply (zenon_L46_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.32/22.42 apply (zenon_L1845_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.32/22.42 apply (zenon_L89_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.32/22.42 apply (zenon_L55_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.32/22.42 apply (zenon_L1845_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.32/22.42 apply (zenon_L217_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.32/22.42 apply (zenon_L113_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.32/22.42 apply (zenon_L446_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.42 apply (zenon_L1889_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.42 apply (zenon_L289_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.32/22.42 apply (zenon_L91_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.32/22.42 apply (zenon_L1444_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.32/22.42 apply (zenon_L231_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_He0 | zenon_intro zenon_H24f ].
% 22.32/22.42 apply (zenon_L1801_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H7f | zenon_intro zenon_H250 ].
% 22.32/22.42 apply (zenon_L146_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H171 | zenon_intro zenon_Hac ].
% 22.32/22.42 apply (zenon_L188_); trivial.
% 22.32/22.42 apply (zenon_L44_); trivial.
% 22.32/22.42 apply (zenon_L218_); trivial.
% 22.32/22.42 apply (zenon_L44_); trivial.
% 22.32/22.42 (* end of lemma zenon_L1890_ *)
% 22.32/22.42 assert (zenon_L1891_ : (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (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 (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (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 (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) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e3)) = (e0))) -> False).
% 22.32/22.42 do 0 intro. intros zenon_H68 zenon_H13a zenon_Hf5 zenon_H1a8 zenon_H156 zenon_H201 zenon_H1d8 zenon_H4e zenon_H48 zenon_H12e zenon_H117 zenon_H1cf zenon_H1ef zenon_H1a2 zenon_H1cb zenon_H266 zenon_He7 zenon_Hf0 zenon_H189 zenon_H55 zenon_H3c zenon_H125 zenon_H190 zenon_H5d zenon_H18d zenon_H121 zenon_H33 zenon_H129 zenon_H192 zenon_Hfa zenon_Hb6 zenon_Ha0 zenon_H139 zenon_H6c zenon_H77 zenon_H3d zenon_Ha9 zenon_H236 zenon_H1f zenon_H173 zenon_H164 zenon_H109 zenon_H11a zenon_H177 zenon_H1c0 zenon_H1fe zenon_H18a zenon_H6f zenon_H16a zenon_H1f1 zenon_He4 zenon_H15d zenon_H13e zenon_H13d zenon_H183 zenon_H163 zenon_H13f zenon_H26a zenon_H100 zenon_H141 zenon_H23c zenon_H7d zenon_H1c6 zenon_H1c3 zenon_H13c zenon_H73 zenon_H13b zenon_H20f zenon_Heb zenon_H158 zenon_Hbc zenon_Hcc zenon_H238.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.42 exact (zenon_H1f zenon_H1e).
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.42 apply (zenon_L65_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.42 exact (zenon_H1f zenon_H1e).
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.42 apply (zenon_L25_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.42 apply (zenon_L1837_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.42 exact (zenon_H6c zenon_H67).
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.42 apply (zenon_L214_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.42 apply (zenon_L1869_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.32/22.42 exact (zenon_H6c zenon_H67).
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.32/22.42 apply (zenon_L24_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.32/22.42 apply (zenon_L1854_); trivial.
% 22.32/22.42 apply (zenon_L291_); trivial.
% 22.32/22.42 exact (zenon_H238 zenon_H38).
% 22.32/22.42 (* end of lemma zenon_L1891_ *)
% 22.32/22.42 assert (zenon_L1892_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> False).
% 22.32/22.42 do 0 intro. intros zenon_H236 zenon_H1f zenon_He7 zenon_H173 zenon_H237 zenon_H9e zenon_Ha0.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.42 exact (zenon_H1f zenon_H1e).
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.42 apply (zenon_L272_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.42 exact (zenon_H237 zenon_H31).
% 22.32/22.42 apply (zenon_L156_); trivial.
% 22.32/22.42 (* end of lemma zenon_L1892_ *)
% 22.32/22.42 assert (zenon_L1893_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.32/22.42 do 0 intro. intros zenon_H240 zenon_H4c zenon_H33 zenon_H9d zenon_H23d zenon_H1f zenon_H173 zenon_He7 zenon_Ha0 zenon_H9e zenon_H236.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.32/22.42 apply (zenon_L1892_); trivial.
% 22.32/22.42 apply (zenon_L611_); trivial.
% 22.32/22.42 (* end of lemma zenon_L1893_ *)
% 22.32/22.42 assert (zenon_L1894_ : ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((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 (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (((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 (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.32/22.42 do 0 intro. intros zenon_He7 zenon_H173 zenon_H4c zenon_H3a zenon_H111 zenon_Ha4 zenon_H183 zenon_H1c3 zenon_H104 zenon_H24e zenon_H11a zenon_H192 zenon_H1b7 zenon_H1c0 zenon_H1cd zenon_H1b4 zenon_H20f zenon_H129 zenon_H2c zenon_H13c zenon_H109 zenon_H117 zenon_H195 zenon_H186 zenon_H190 zenon_H1a2 zenon_Hf0 zenon_H196 zenon_H141 zenon_H121 zenon_H73 zenon_H1cf zenon_H18a zenon_H1bb zenon_H1ef zenon_He4 zenon_H1f1 zenon_H13f zenon_H4e zenon_H5d zenon_H1cb zenon_H18d zenon_H6f zenon_H201 zenon_H23c zenon_H1d8 zenon_Hfa zenon_H231 zenon_Hbc zenon_H25b zenon_Hf5 zenon_H26a zenon_H1c6 zenon_H55 zenon_H189 zenon_H266 zenon_H1a8 zenon_H156 zenon_H125 zenon_H12e zenon_H1fe zenon_H94 zenon_Hcc zenon_H16a zenon_H2d zenon_H7d zenon_H3d zenon_H240 zenon_H139 zenon_H236 zenon_H1f zenon_H24 zenon_H3c zenon_H13a zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H77 zenon_H48 zenon_H15d zenon_H23b zenon_H9d zenon_H33 zenon_H23d zenon_H1d5 zenon_H204 zenon_H38 zenon_H68.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.42 exact (zenon_Ha4 zenon_H9f).
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.42 apply (zenon_L55_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.42 apply (zenon_L1890_); trivial.
% 22.32/22.42 apply (zenon_L1893_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.42 apply (zenon_L214_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.42 apply (zenon_L1887_); trivial.
% 22.32/22.42 apply (zenon_L165_); trivial.
% 22.32/22.42 (* end of lemma zenon_L1894_ *)
% 22.32/22.42 assert (zenon_L1895_ : ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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 (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 22.32/22.42 do 0 intro. intros zenon_Hcc zenon_Hbc zenon_H173 zenon_H158 zenon_H156 zenon_Heb zenon_H20f zenon_H13b zenon_H4e zenon_H236 zenon_H73 zenon_H1ef zenon_H13c zenon_Hf5 zenon_H1c3 zenon_H1c6 zenon_H7d zenon_Hfa zenon_H23c zenon_H129 zenon_H100 zenon_H26a zenon_H13f zenon_H163 zenon_H183 zenon_H125 zenon_Ha9 zenon_H190 zenon_H13e zenon_H15d zenon_H33 zenon_He4 zenon_H1f1 zenon_H77 zenon_H16a zenon_H55 zenon_H6f zenon_H266 zenon_Hb6 zenon_Ha0 zenon_H5d zenon_H18d zenon_H1f zenon_H18a zenon_H1fe zenon_H13a zenon_H48 zenon_H3c zenon_H1c0 zenon_H177 zenon_H31 zenon_H11a zenon_H164 zenon_H141 zenon_H109 zenon_He7 zenon_Hf0 zenon_H13d zenon_H68 zenon_H93.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.42 exact (zenon_H1f zenon_H1e).
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.42 apply (zenon_L25_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.42 apply (zenon_L1837_); trivial.
% 22.32/22.42 apply (zenon_L1072_); trivial.
% 22.32/22.42 (* end of lemma zenon_L1895_ *)
% 22.32/22.42 assert (zenon_L1896_ : (((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 (e2) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 22.32/22.42 do 0 intro. intros zenon_H266 zenon_H2d zenon_H55 zenon_H105 zenon_Hf0 zenon_Hef zenon_H110 zenon_H190.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_Hdd | zenon_intro zenon_H267 ].
% 22.32/22.42 apply (zenon_L702_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H53 | zenon_intro zenon_H268 ].
% 22.32/22.42 apply (zenon_L143_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H6d | zenon_intro zenon_H10d ].
% 22.32/22.42 apply (zenon_L61_); trivial.
% 22.32/22.42 apply (zenon_L163_); trivial.
% 22.32/22.42 (* end of lemma zenon_L1896_ *)
% 22.32/22.42 assert (zenon_L1897_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 22.32/22.42 do 0 intro. intros zenon_H164 zenon_H68 zenon_H13d zenon_Hf0 zenon_He7 zenon_H109 zenon_H141 zenon_Hef zenon_H77 zenon_H93 zenon_H3c zenon_H5d zenon_H38 zenon_H48 zenon_H18d zenon_Hbb zenon_Ha0 zenon_H162.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.32/22.42 apply (zenon_L1072_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.32/22.42 apply (zenon_L1685_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.32/22.42 apply (zenon_L80_); trivial.
% 22.32/22.42 exact (zenon_H162 zenon_H167).
% 22.32/22.42 (* end of lemma zenon_L1897_ *)
% 22.32/22.42 assert (zenon_L1898_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((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 (e1) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((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 (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 22.32/22.42 do 0 intro. intros zenon_H13f zenon_H195 zenon_H163 zenon_H160 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H189 zenon_H24e zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_Hfa zenon_H162 zenon_Ha0 zenon_H18d zenon_H48 zenon_H38 zenon_H5d zenon_H3c zenon_Hef zenon_H141 zenon_H109 zenon_He7 zenon_Hf0 zenon_H13d zenon_H68 zenon_H164 zenon_H266 zenon_H2d zenon_H55 zenon_H190 zenon_Hf3 zenon_H67 zenon_H1a2 zenon_H77 zenon_H93.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.32/22.42 apply (zenon_L217_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.32/22.42 apply (zenon_L1721_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.32/22.42 apply (zenon_L446_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.32/22.42 apply (zenon_L162_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.32/22.42 apply (zenon_L1896_); trivial.
% 22.32/22.42 apply (zenon_L1897_); trivial.
% 22.32/22.42 apply (zenon_L218_); trivial.
% 22.32/22.42 (* end of lemma zenon_L1898_ *)
% 22.32/22.42 assert (zenon_L1899_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((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 (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (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) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (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) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 22.32/22.42 do 0 intro. intros zenon_H140 zenon_Hcc zenon_Hbc zenon_H173 zenon_H158 zenon_H156 zenon_Heb zenon_H13b zenon_H4e zenon_H236 zenon_H73 zenon_H1ef zenon_H13c zenon_Hf5 zenon_H1c3 zenon_H1c6 zenon_H7d zenon_H23c zenon_H26a zenon_H183 zenon_H125 zenon_Ha9 zenon_H13e zenon_H15d zenon_H33 zenon_He4 zenon_H1f1 zenon_H16a zenon_H6f zenon_H1f zenon_H18a zenon_H1fe zenon_H13a zenon_H1c0 zenon_H177 zenon_H11a zenon_H164 zenon_H68 zenon_He7 zenon_H109 zenon_H141 zenon_H162 zenon_Hfa zenon_H163 zenon_H13d zenon_H1c7 zenon_H160 zenon_H1cd zenon_H1b7 zenon_H18d zenon_H48 zenon_H38 zenon_H5d zenon_H24e zenon_H189 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H195 zenon_Ha5 zenon_H266 zenon_H2d zenon_H55 zenon_Hf0 zenon_Hef zenon_H190 zenon_H13f zenon_H3c zenon_H100 zenon_Hb6 zenon_Ha0 zenon_H186 zenon_H67 zenon_H1a2 zenon_H117 zenon_H77 zenon_H93.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.32/22.42 apply (zenon_L1837_); trivial.
% 22.32/22.42 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.32/22.43 apply (zenon_L1898_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.32/22.43 exact (zenon_H13d zenon_H14c).
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.32/22.43 apply (zenon_L69_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.32/22.43 apply (zenon_L1687_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.32/22.43 apply (zenon_L67_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.32/22.43 apply (zenon_L1728_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.32/22.43 apply (zenon_L1896_); trivial.
% 22.32/22.43 apply (zenon_L172_); trivial.
% 22.32/22.43 apply (zenon_L218_); trivial.
% 22.32/22.43 (* end of lemma zenon_L1899_ *)
% 22.32/22.43 assert (zenon_L1900_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.32/22.43 do 0 intro. intros zenon_Hfa zenon_H77 zenon_Hfe zenon_H67 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H189 zenon_H24e zenon_H3c zenon_H5d zenon_H38 zenon_H48 zenon_H18d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H2d zenon_H13f zenon_H160 zenon_H163 zenon_H93 zenon_H195.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.32/22.43 apply (zenon_L24_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.32/22.43 apply (zenon_L217_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.32/22.43 apply (zenon_L1687_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.32/22.43 apply (zenon_L446_); trivial.
% 22.32/22.43 apply (zenon_L218_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.32/22.43 apply (zenon_L227_); trivial.
% 22.32/22.43 apply (zenon_L228_); trivial.
% 22.32/22.43 (* end of lemma zenon_L1900_ *)
% 22.32/22.43 assert (zenon_L1901_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (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 (e2) (e2)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.32/22.43 do 0 intro. intros zenon_He4 zenon_H1d8 zenon_H23c zenon_H195 zenon_H163 zenon_H189 zenon_H3c zenon_H5d zenon_Hfa zenon_H139 zenon_Ha0 zenon_H13f zenon_Hb6 zenon_H117 zenon_H1a2 zenon_H186 zenon_H100 zenon_H190 zenon_Hf0 zenon_H55 zenon_H266 zenon_H13d zenon_H162 zenon_H141 zenon_H109 zenon_He7 zenon_H68 zenon_H164 zenon_H11a zenon_H1c0 zenon_H13a zenon_H1fe zenon_H1f zenon_H6f zenon_H16a zenon_H1f1 zenon_H33 zenon_H15d zenon_H13e zenon_Ha9 zenon_H125 zenon_H183 zenon_H26a zenon_H1c6 zenon_H1c3 zenon_Hf5 zenon_H13c zenon_H1ef zenon_H73 zenon_H236 zenon_H4e zenon_H13b zenon_Heb zenon_H156 zenon_H158 zenon_H173 zenon_Hbc zenon_Hcc zenon_H140 zenon_H1a3 zenon_H121 zenon_H99 zenon_H192 zenon_H104 zenon_H25b zenon_H177 zenon_H196 zenon_H24 zenon_H12e zenon_H77 zenon_H93 zenon_H1b4 zenon_H20f zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H1cb zenon_H18a zenon_H1bb zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H160 zenon_H1c7.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.43 exact (zenon_H1f zenon_H1e).
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.43 apply (zenon_L272_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.43 apply (zenon_L1895_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.43 exact (zenon_H1f zenon_H1e).
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.43 apply (zenon_L25_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.43 apply (zenon_L1475_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.43 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.32/22.43 apply (zenon_L24_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.32/22.43 apply (zenon_L46_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.32/22.43 apply (zenon_L538_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.32/22.43 apply (zenon_L1731_); trivial.
% 22.32/22.43 apply (zenon_L1899_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.32/22.43 apply (zenon_L227_); trivial.
% 22.32/22.43 apply (zenon_L228_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.43 apply (zenon_L55_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.43 apply (zenon_L1900_); trivial.
% 22.32/22.43 apply (zenon_L156_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.43 apply (zenon_L214_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.43 apply (zenon_L122_); trivial.
% 22.32/22.43 apply (zenon_L167_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.43 apply (zenon_L1722_); trivial.
% 22.32/22.43 apply (zenon_L246_); trivial.
% 22.32/22.43 apply (zenon_L1510_); trivial.
% 22.32/22.43 (* end of lemma zenon_L1901_ *)
% 22.32/22.43 assert (zenon_L1902_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.32/22.43 do 0 intro. intros zenon_H11a zenon_H1c0 zenon_H13a zenon_Hb6 zenon_H6f zenon_H16a zenon_H1f1 zenon_H33 zenon_H13e zenon_Ha9 zenon_H125 zenon_H183 zenon_H100 zenon_H7d zenon_H1c6 zenon_H1c3 zenon_H13c zenon_H1ef zenon_H73 zenon_H236 zenon_H4e zenon_H13b zenon_Heb zenon_H156 zenon_H158 zenon_H173 zenon_Hbc zenon_Hcc zenon_H1fe zenon_H1f zenon_H48 zenon_He4 zenon_H1d8 zenon_H23c zenon_H195 zenon_H163 zenon_H160 zenon_H189 zenon_H24e zenon_H3c zenon_H5d zenon_H1cd zenon_H1c7 zenon_Hfa zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H93 zenon_H77 zenon_H1b7 zenon_H139 zenon_H140 zenon_H26d zenon_H164 zenon_H13f zenon_Ha0 zenon_H266 zenon_H55 zenon_H190 zenon_H12e zenon_H181 zenon_H18a zenon_H162 zenon_H1cb zenon_H26a zenon_H186 zenon_Hf5 zenon_H25b zenon_H1a2 zenon_H177 zenon_H68 zenon_H24 zenon_H15d zenon_H141 zenon_H109 zenon_He7 zenon_Hf0 zenon_H13d zenon_H196.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.43 exact (zenon_H1f zenon_H1e).
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.43 apply (zenon_L272_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.43 apply (zenon_L1895_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.43 exact (zenon_H1f zenon_H1e).
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.43 apply (zenon_L25_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.43 apply (zenon_L1475_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.43 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.32/22.43 apply (zenon_L24_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.32/22.43 apply (zenon_L756_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.32/22.43 apply (zenon_L1898_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.32/22.43 exact (zenon_H13d zenon_H14c).
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.32/22.43 apply (zenon_L217_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.32/22.43 apply (zenon_L1721_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.32/22.43 apply (zenon_L446_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.32/22.43 apply (zenon_L1700_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.32/22.43 apply (zenon_L1896_); trivial.
% 22.32/22.43 apply (zenon_L80_); trivial.
% 22.32/22.43 apply (zenon_L218_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.32/22.43 apply (zenon_L227_); trivial.
% 22.32/22.43 apply (zenon_L228_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.43 apply (zenon_L214_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.43 apply (zenon_L122_); trivial.
% 22.32/22.43 apply (zenon_L165_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.43 apply (zenon_L1722_); trivial.
% 22.32/22.43 apply (zenon_L246_); trivial.
% 22.32/22.43 apply (zenon_L1839_); trivial.
% 22.32/22.43 (* end of lemma zenon_L1902_ *)
% 22.32/22.43 assert (zenon_L1903_ : ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 22.32/22.43 do 0 intro. intros zenon_He7 zenon_H173 zenon_H23d zenon_H236 zenon_Ha0 zenon_H1f zenon_H9b zenon_H24 zenon_H3c zenon_H139 zenon_H33 zenon_Hb6 zenon_Ha9 zenon_H13a zenon_H68 zenon_H77 zenon_H48 zenon_H15d.
% 22.32/22.43 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 22.32/22.43 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 22.32/22.43 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.32/22.43 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.32/22.43 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.32/22.43 apply (zenon_L1875_); trivial.
% 22.32/22.43 apply (zenon_L1893_); trivial.
% 22.32/22.43 (* end of lemma zenon_L1903_ *)
% 22.32/22.43 assert (zenon_L1904_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((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) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (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)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 22.32/22.43 do 0 intro. intros zenon_H16a zenon_Hcc zenon_H94 zenon_H1d5 zenon_H23d zenon_H1f zenon_H236 zenon_H1fe zenon_H12e zenon_H125 zenon_H156 zenon_H1a8 zenon_H266 zenon_H189 zenon_H55 zenon_H1c6 zenon_H26a zenon_Hf5 zenon_H25b zenon_Hbc zenon_H231 zenon_H173 zenon_H24 zenon_H139 zenon_Hfa zenon_H13a zenon_H1d8 zenon_H23c zenon_H201 zenon_H6f zenon_H1cb zenon_H4e zenon_H13f zenon_H1b7 zenon_H1f1 zenon_He4 zenon_H1ef zenon_H1bb zenon_H18a zenon_H1cf zenon_H73 zenon_Hb6 zenon_H121 zenon_H11a zenon_H33 zenon_H196 zenon_Ha9 zenon_H1a2 zenon_H190 zenon_H186 zenon_H195 zenon_H117 zenon_H13c zenon_H2c zenon_H15d zenon_H104 zenon_H1c3 zenon_H129 zenon_H20f zenon_H1b4 zenon_H192 zenon_H7d zenon_H1cd zenon_H24e zenon_H183 zenon_H1c0 zenon_H1ba zenon_H8b zenon_H164 zenon_H68 zenon_H13d zenon_Hf0 zenon_He7 zenon_H109 zenon_H141 zenon_Hef zenon_H77 zenon_H3c zenon_H5d zenon_H38 zenon_H48 zenon_H18d zenon_Hbb zenon_Ha0 zenon_H162.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.43 apply (zenon_L1889_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.43 exact (zenon_H1ba zenon_H6d).
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.43 exact (zenon_H8b zenon_H8a).
% 22.32/22.43 apply (zenon_L1897_); trivial.
% 22.32/22.43 (* end of lemma zenon_L1904_ *)
% 22.32/22.43 assert (zenon_L1905_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> False).
% 22.32/22.43 do 0 intro. intros zenon_H1fe zenon_H1f zenon_Hbb zenon_H4e zenon_H38 zenon_H26d zenon_H140 zenon_H68 zenon_H65 zenon_H141 zenon_H109 zenon_He7 zenon_Hf0 zenon_H13d zenon_Ha0 zenon_Hb9.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.43 exact (zenon_H1f zenon_H1e).
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.43 apply (zenon_L1385_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.43 apply (zenon_L27_); trivial.
% 22.32/22.43 apply (zenon_L1104_); trivial.
% 22.32/22.43 (* end of lemma zenon_L1905_ *)
% 22.32/22.43 assert (zenon_L1906_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (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)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.32/22.43 do 0 intro. intros zenon_H16a zenon_Hb9 zenon_Ha0 zenon_H13d zenon_Hf0 zenon_He7 zenon_H109 zenon_H141 zenon_H68 zenon_H140 zenon_H26d zenon_H38 zenon_H4e zenon_Hbb zenon_H1f zenon_H1fe zenon_H1ba zenon_H8b zenon_Hf7 zenon_H195.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.43 apply (zenon_L1905_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.43 exact (zenon_H1ba zenon_H6d).
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.43 exact (zenon_H8b zenon_H8a).
% 22.32/22.43 apply (zenon_L228_); trivial.
% 22.32/22.43 (* end of lemma zenon_L1906_ *)
% 22.32/22.43 assert (zenon_L1907_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((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)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((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 (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((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 (e3) (e2)) = (e3)) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.32/22.43 do 0 intro. intros zenon_H177 zenon_H13e zenon_H163 zenon_H100 zenon_H13b zenon_Heb zenon_H158 zenon_H162 zenon_H18d zenon_H48 zenon_H5d zenon_H3c zenon_H77 zenon_H164 zenon_H1c0 zenon_H183 zenon_H24e zenon_H1cd zenon_H7d zenon_H192 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1c3 zenon_H104 zenon_H15d zenon_H2c zenon_H13c zenon_H117 zenon_H186 zenon_H190 zenon_H1a2 zenon_Ha9 zenon_H196 zenon_H33 zenon_H11a zenon_H121 zenon_Hb6 zenon_H73 zenon_H1cf zenon_H18a zenon_H1bb zenon_H1ef zenon_He4 zenon_H1f1 zenon_H1b7 zenon_H13f zenon_H1cb zenon_H6f zenon_H201 zenon_H23c zenon_H1d8 zenon_H13a zenon_Hfa zenon_H139 zenon_H24 zenon_H173 zenon_H231 zenon_Hbc zenon_H25b zenon_Hf5 zenon_H26a zenon_H1c6 zenon_H55 zenon_H189 zenon_H266 zenon_H1a8 zenon_H156 zenon_H125 zenon_H12e zenon_H236 zenon_H23d zenon_H1d5 zenon_H94 zenon_Hcc zenon_H16a zenon_Hb9 zenon_Ha0 zenon_H13d zenon_Hf0 zenon_He7 zenon_H109 zenon_H141 zenon_H68 zenon_H140 zenon_H26d zenon_H4e zenon_Hbb zenon_H1f zenon_H1fe zenon_H1ba zenon_H8b zenon_H195.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.43 exact (zenon_H1f zenon_H1e).
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.43 apply (zenon_L272_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.43 exact (zenon_H1f zenon_H1e).
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.43 apply (zenon_L25_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.43 apply (zenon_L1837_); trivial.
% 22.32/22.43 apply (zenon_L1104_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.32/22.43 apply (zenon_L24_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.32/22.43 apply (zenon_L1904_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.32/22.43 apply (zenon_L756_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.32/22.43 apply (zenon_L62_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.32/22.43 exact (zenon_H13d zenon_H14c).
% 22.32/22.43 apply (zenon_L80_); trivial.
% 22.32/22.43 apply (zenon_L1906_); trivial.
% 22.32/22.43 (* end of lemma zenon_L1907_ *)
% 22.32/22.43 assert (zenon_L1908_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 22.32/22.43 do 0 intro. intros zenon_H141 zenon_H34 zenon_H196 zenon_H9e zenon_H133 zenon_H131 zenon_Ha0 zenon_H9d zenon_H109 zenon_H117 zenon_H13d zenon_H68 zenon_H93.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.32/22.43 apply (zenon_L359_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.32/22.43 apply (zenon_L587_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.32/22.43 exact (zenon_H13d zenon_H14c).
% 22.32/22.43 apply (zenon_L158_); trivial.
% 22.32/22.43 (* end of lemma zenon_L1908_ *)
% 22.32/22.43 assert (zenon_L1909_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 22.32/22.43 do 0 intro. intros zenon_H13c zenon_H179 zenon_H9d zenon_H173 zenon_Hdb zenon_Hb6 zenon_H4d zenon_H19a zenon_H48 zenon_H155 zenon_Ha0 zenon_H93 zenon_H68 zenon_H162.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.32/22.43 apply (zenon_L123_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.32/22.43 apply (zenon_L120_); trivial.
% 22.32/22.43 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.32/22.43 apply (zenon_L124_); trivial.
% 22.32/22.43 apply (zenon_L247_); trivial.
% 22.32/22.43 (* end of lemma zenon_L1909_ *)
% 22.32/22.43 assert (zenon_L1910_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H13c zenon_H179 zenon_H173 zenon_H177 zenon_H31 zenon_H7f zenon_H141 zenon_H109 zenon_He7 zenon_Hf0 zenon_H13d zenon_H164 zenon_H131 zenon_H6f zenon_Hdb zenon_H9d zenon_H117 zenon_H19a zenon_H48 zenon_H155 zenon_Ha0 zenon_H93 zenon_H68 zenon_H162.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.32/22.44 apply (zenon_L123_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.32/22.44 apply (zenon_L120_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.32/22.44 apply (zenon_L73_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.32/22.44 apply (zenon_L205_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.32/22.44 apply (zenon_L259_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.32/22.44 apply (zenon_L1104_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.32/22.44 apply (zenon_L57_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.32/22.44 apply (zenon_L406_); trivial.
% 22.32/22.44 exact (zenon_H162 zenon_H167).
% 22.32/22.44 apply (zenon_L247_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1910_ *)
% 22.32/22.44 assert (zenon_L1911_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_He4 zenon_Hb6 zenon_Hdb zenon_H111 zenon_H153 zenon_Hf0 zenon_H2d zenon_H13f zenon_H195 zenon_H163 zenon_H160 zenon_H189 zenon_H24e zenon_H3c zenon_H5d zenon_H1cd zenon_H1c7 zenon_Hfa zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H38 zenon_H1bb zenon_H93 zenon_H77 zenon_H1b7.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.32/22.44 apply (zenon_L55_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.32/22.44 apply (zenon_L219_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.32/22.44 apply (zenon_L1721_); trivial.
% 22.32/22.44 apply (zenon_L1276_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1911_ *)
% 22.32/22.44 assert (zenon_L1912_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (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) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H15d zenon_H24 zenon_H68 zenon_Ha9 zenon_H139 zenon_Ha0 zenon_Hb6 zenon_He4 zenon_H111 zenon_Hf0 zenon_H2d zenon_H13f zenon_H195 zenon_H163 zenon_H160 zenon_H189 zenon_H24e zenon_H3c zenon_H5d zenon_H1cd zenon_H1c7 zenon_Hfa zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H93 zenon_H77 zenon_H1b7 zenon_H9d zenon_H33 zenon_H13a zenon_H38 zenon_H48.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.44 apply (zenon_L1475_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.44 apply (zenon_L245_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.44 apply (zenon_L55_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.44 apply (zenon_L1900_); trivial.
% 22.32/22.44 apply (zenon_L156_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.44 apply (zenon_L214_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.44 apply (zenon_L1879_); trivial.
% 22.32/22.44 apply (zenon_L165_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.44 apply (zenon_L245_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.44 apply (zenon_L1911_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.44 apply (zenon_L95_); trivial.
% 22.32/22.44 apply (zenon_L156_); trivial.
% 22.32/22.44 apply (zenon_L246_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1912_ *)
% 22.32/22.44 assert (zenon_L1913_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((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 (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((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)) = (e3)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((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 (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H236 zenon_H13d zenon_He7 zenon_H109 zenon_H141 zenon_H4e zenon_H1d8 zenon_H196 zenon_Hf5 zenon_H162 zenon_H19a zenon_H117 zenon_H6f zenon_H131 zenon_H164 zenon_H177 zenon_H173 zenon_H179 zenon_H13c zenon_H201 zenon_H190 zenon_H23c zenon_H1fe zenon_H1f zenon_H13a zenon_H33 zenon_H9d zenon_Hfa zenon_H5d zenon_H3c zenon_H189 zenon_H163 zenon_H195 zenon_H13f zenon_Hf0 zenon_H111 zenon_He4 zenon_Hb6 zenon_Ha0 zenon_H139 zenon_Ha9 zenon_H68 zenon_H24 zenon_H15d zenon_H12e zenon_H77 zenon_H93 zenon_H1b4 zenon_H20f zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H1cb zenon_H18a zenon_H1bb zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H160 zenon_H1c7.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.44 exact (zenon_H1f zenon_H1e).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.44 apply (zenon_L272_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.44 exact (zenon_H1f zenon_H1e).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.44 apply (zenon_L25_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.44 apply (zenon_L1475_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.44 apply (zenon_L245_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.44 apply (zenon_L55_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.44 apply (zenon_L68_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.32/22.44 apply (zenon_L24_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.32/22.44 apply (zenon_L46_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.32/22.44 apply (zenon_L738_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.32/22.44 apply (zenon_L14_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.32/22.44 apply (zenon_L707_); trivial.
% 22.32/22.44 apply (zenon_L367_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.32/22.44 apply (zenon_L1908_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.32/22.44 apply (zenon_L808_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.32/22.44 apply (zenon_L406_); trivial.
% 22.32/22.44 exact (zenon_H162 zenon_H167).
% 22.32/22.44 apply (zenon_L262_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.32/22.44 apply (zenon_L227_); trivial.
% 22.32/22.44 apply (zenon_L228_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.44 apply (zenon_L239_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.44 apply (zenon_L245_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.32/22.44 apply (zenon_L55_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.32/22.44 apply (zenon_L492_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.32/22.44 apply (zenon_L239_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.32/22.44 apply (zenon_L1909_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.32/22.44 apply (zenon_L143_); trivial.
% 22.32/22.44 apply (zenon_L367_); trivial.
% 22.32/22.44 apply (zenon_L1910_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.44 apply (zenon_L68_); trivial.
% 22.32/22.44 apply (zenon_L115_); trivial.
% 22.32/22.44 apply (zenon_L1072_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.44 exact (zenon_H1f zenon_H1e).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.44 apply (zenon_L25_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.44 apply (zenon_L1912_); trivial.
% 22.32/22.44 apply (zenon_L1510_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1913_ *)
% 22.32/22.44 assert (zenon_L1914_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((e1) = (e2))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H82 zenon_H4c zenon_H23c zenon_H1c6 zenon_Hb6 zenon_H16b zenon_Ha9 zenon_H2d zenon_H16a zenon_H125 zenon_H177 zenon_Ha0 zenon_H48 zenon_H164 zenon_H8b zenon_H4e zenon_H31 zenon_H1cf zenon_H1bf zenon_H3f zenon_H156 zenon_H3d zenon_H1d8 zenon_H201 zenon_H68 zenon_H2f zenon_H77.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.44 exact (zenon_H4c zenon_H47).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.44 apply (zenon_L492_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.44 apply (zenon_L217_); trivial.
% 22.32/22.44 apply (zenon_L742_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1914_ *)
% 22.32/22.44 assert (zenon_L1915_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H15d zenon_H2f zenon_H201 zenon_H1d8 zenon_H156 zenon_H1bf zenon_H1cf zenon_H4e zenon_H8b zenon_H125 zenon_H82 zenon_H4c zenon_H3f zenon_H23c zenon_H2d zenon_H139 zenon_H177 zenon_Ha0 zenon_Hac zenon_H48 zenon_H164 zenon_H6f zenon_H6d zenon_H68 zenon_H31 zenon_H77.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.44 exact (zenon_H4c zenon_H47).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.44 exact (zenon_H4c zenon_H47).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.44 apply (zenon_L492_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.44 apply (zenon_L217_); trivial.
% 22.32/22.44 apply (zenon_L741_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.44 apply (zenon_L239_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.44 exact (zenon_H4c zenon_H47).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.44 apply (zenon_L492_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.44 apply (zenon_L217_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.44 apply (zenon_L718_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.44 apply (zenon_L21_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.44 apply (zenon_L264_); trivial.
% 22.32/22.44 apply (zenon_L98_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1915_ *)
% 22.32/22.44 assert (zenon_L1916_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H201 zenon_H48 zenon_H1cb zenon_H17c zenon_H8b zenon_H77 zenon_H31 zenon_H68 zenon_H1cf zenon_H1bf zenon_Hb6 zenon_Hbb.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.32/22.44 apply (zenon_L239_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.32/22.44 apply (zenon_L781_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.32/22.44 exact (zenon_H1bf zenon_H105).
% 22.32/22.44 apply (zenon_L363_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1916_ *)
% 22.32/22.44 assert (zenon_L1917_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e2)) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H121 zenon_H6d zenon_H6f zenon_H164 zenon_Ha0 zenon_H177 zenon_H139 zenon_H2d zenon_H23c zenon_H3f zenon_H4c zenon_H82 zenon_H125 zenon_H4e zenon_H156 zenon_H1d8 zenon_H2f zenon_H15d zenon_Hb6 zenon_H1bf zenon_H1cf zenon_H68 zenon_H31 zenon_H77 zenon_H8b zenon_H1cb zenon_H48 zenon_H201 zenon_Ha9 zenon_H17c.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 22.32/22.44 apply (zenon_L586_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 22.32/22.44 apply (zenon_L1915_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 22.32/22.44 apply (zenon_L1916_); trivial.
% 22.32/22.44 apply (zenon_L133_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1917_ *)
% 22.32/22.44 assert (zenon_L1918_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H1c3 zenon_H155 zenon_H106 zenon_H186 zenon_H16b zenon_H121 zenon_H6d zenon_H6f zenon_H164 zenon_Ha0 zenon_H177 zenon_H139 zenon_H2d zenon_H23c zenon_H3f zenon_H4c zenon_H82 zenon_H125 zenon_H4e zenon_H156 zenon_H1d8 zenon_H2f zenon_H15d zenon_Hb6 zenon_H1bf zenon_H1cf zenon_H68 zenon_H31 zenon_H77 zenon_H8b zenon_H1cb zenon_H48 zenon_H201 zenon_Ha9.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 22.32/22.44 apply (zenon_L98_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 22.32/22.44 apply (zenon_L750_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 22.32/22.44 exact (zenon_H16b zenon_H93).
% 22.32/22.44 apply (zenon_L1917_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1918_ *)
% 22.32/22.44 assert (zenon_L1919_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((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 (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e3) (e2)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H16a zenon_H2c zenon_H67 zenon_Ha9 zenon_H201 zenon_H48 zenon_H1cb zenon_H77 zenon_H31 zenon_H68 zenon_H1cf zenon_H1bf zenon_Hb6 zenon_H15d zenon_H2f zenon_H1d8 zenon_H156 zenon_H4e zenon_H125 zenon_H82 zenon_H4c zenon_H3f zenon_H23c zenon_H2d zenon_H139 zenon_H177 zenon_Ha0 zenon_H164 zenon_H6f zenon_H121 zenon_H186 zenon_H106 zenon_H155 zenon_H1c3 zenon_H8b zenon_H16b.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.44 apply (zenon_L180_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.44 apply (zenon_L1918_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.44 exact (zenon_H8b zenon_H8a).
% 22.32/22.44 exact (zenon_H16b zenon_H93).
% 22.32/22.44 (* end of lemma zenon_L1919_ *)
% 22.32/22.44 assert (zenon_L1920_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((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 (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H92 zenon_H1ef zenon_H13e zenon_H4c zenon_H82 zenon_Hb6 zenon_H16a zenon_H8b zenon_Ha9 zenon_H68 zenon_H125 zenon_H2f zenon_H1d8 zenon_H156 zenon_H1bf zenon_H1cf zenon_H77 zenon_H4e zenon_H201 zenon_Ha0 zenon_H177 zenon_H31 zenon_H164 zenon_H1c6 zenon_H2d zenon_H48 zenon_H3f zenon_H23c zenon_Hac zenon_H13a zenon_H183 zenon_H139 zenon_H15d.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.44 exact (zenon_H4c zenon_H47).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.44 apply (zenon_L1914_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.44 apply (zenon_L239_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.44 exact (zenon_H4c zenon_H47).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.44 apply (zenon_L492_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.44 apply (zenon_L217_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.44 apply (zenon_L718_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.32/22.44 apply (zenon_L239_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.32/22.44 apply (zenon_L486_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.32/22.44 exact (zenon_H1bf zenon_H105).
% 22.32/22.44 apply (zenon_L514_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.44 apply (zenon_L110_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.44 apply (zenon_L68_); trivial.
% 22.32/22.44 apply (zenon_L115_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.44 apply (zenon_L264_); trivial.
% 22.32/22.44 apply (zenon_L98_); trivial.
% 22.32/22.44 apply (zenon_L644_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1920_ *)
% 22.32/22.44 assert (zenon_L1921_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H82 zenon_H4c zenon_H23c zenon_H38 zenon_H196 zenon_H117 zenon_Ha9 zenon_H6d zenon_Ha0 zenon_H18d zenon_H234 zenon_H3f zenon_Hb6 zenon_H120 zenon_H68 zenon_H141 zenon_H34 zenon_H48.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.44 exact (zenon_H4c zenon_H47).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.44 apply (zenon_L492_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.44 apply (zenon_L1647_); trivial.
% 22.32/22.44 apply (zenon_L456_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1921_ *)
% 22.32/22.44 assert (zenon_L1922_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H36 zenon_H82 zenon_H4c zenon_H23c zenon_H196 zenon_H117 zenon_Ha9 zenon_H6d zenon_Ha0 zenon_H18d zenon_H234 zenon_H3f zenon_Hb6 zenon_H120 zenon_H68 zenon_H141 zenon_H48.
% 22.32/22.44 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.32/22.44 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.32/22.44 apply (zenon_L1921_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1922_ *)
% 22.32/22.44 assert (zenon_L1923_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H1a8 zenon_H3d zenon_H77 zenon_H48 zenon_H141 zenon_H68 zenon_H120 zenon_Hb6 zenon_H3f zenon_H234 zenon_H18d zenon_Ha0 zenon_H117 zenon_H196 zenon_H23c zenon_H4c zenon_H82 zenon_H36 zenon_Ha9 zenon_Hac.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.32/22.44 apply (zenon_L214_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.32/22.44 apply (zenon_L186_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.32/22.44 apply (zenon_L1922_); trivial.
% 22.32/22.44 apply (zenon_L371_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1923_ *)
% 22.32/22.44 assert (zenon_L1924_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (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)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e2)) = (e0))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H23b zenon_H4c zenon_H66 zenon_H1f zenon_H264 zenon_H230 zenon_H109 zenon_H1d5 zenon_Hf5 zenon_H6f zenon_H1c3 zenon_H189 zenon_H1cf zenon_H16a zenon_H13b zenon_H173 zenon_H25e zenon_H25b zenon_H94 zenon_Hb2 zenon_H19a zenon_H18d zenon_H1b4 zenon_H20f zenon_H1b7 zenon_H179 zenon_H24e zenon_H125 zenon_H1ef zenon_H186 zenon_H1a2 zenon_Hcc zenon_H1cd zenon_H1cb zenon_H19d zenon_H195 zenon_H12e zenon_H212 zenon_Hbc zenon_H7d zenon_H18a zenon_H1bb zenon_Hfa zenon_H13c zenon_H55 zenon_H1a8 zenon_H23d zenon_H11a zenon_H1fe zenon_H1c6 zenon_H13e zenon_H111 zenon_H140 zenon_H68 zenon_H13f zenon_H156 zenon_H117 zenon_Hb6 zenon_H4e zenon_H163 zenon_H73 zenon_H131 zenon_H1ec zenon_Ha9 zenon_H201 zenon_H82 zenon_H139 zenon_H13a zenon_H2c zenon_H236 zenon_H15d zenon_H23c zenon_H183 zenon_H196 zenon_H33 zenon_H129 zenon_H121 zenon_H190 zenon_H177 zenon_He4 zenon_H192 zenon_H104 zenon_H164 zenon_H141 zenon_Ha0 zenon_H77 zenon_H234 zenon_Hf0 zenon_H48 zenon_H1fb zenon_H1d8 zenon_H3f zenon_H237.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.44 exact (zenon_H1f zenon_H1e).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.44 apply (zenon_L699_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.44 exact (zenon_H237 zenon_H31).
% 22.32/22.44 exact (zenon_H238 zenon_H38).
% 22.32/22.44 apply (zenon_L601_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1924_ *)
% 22.32/22.44 assert (zenon_L1925_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (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) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H240 zenon_H65 zenon_Hac zenon_H1bf zenon_H3f zenon_H1d8 zenon_H1fb zenon_H48 zenon_Hf0 zenon_H234 zenon_H77 zenon_Ha0 zenon_H141 zenon_H164 zenon_H104 zenon_H192 zenon_He4 zenon_H177 zenon_H190 zenon_H121 zenon_H129 zenon_H33 zenon_H196 zenon_H183 zenon_H23c zenon_H15d zenon_H236 zenon_H2c zenon_H13a zenon_H139 zenon_H82 zenon_H201 zenon_Ha9 zenon_H1ec zenon_H131 zenon_H73 zenon_H163 zenon_H4e zenon_Hb6 zenon_H117 zenon_H156 zenon_H13f zenon_H68 zenon_H140 zenon_H111 zenon_H13e zenon_H1c6 zenon_H1fe zenon_H11a zenon_H23d zenon_H1a8 zenon_H55 zenon_H13c zenon_Hfa zenon_H1bb zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H12e zenon_H195 zenon_H19d zenon_H1cb zenon_H1cd zenon_Hcc zenon_H1a2 zenon_H186 zenon_H1ef zenon_H125 zenon_H24e zenon_H179 zenon_H1b7 zenon_H20f zenon_H1b4 zenon_H18d zenon_H19a zenon_Hb2 zenon_H94 zenon_H25b zenon_H25e zenon_H173 zenon_H13b zenon_H16a zenon_H1cf zenon_H189 zenon_H1c3 zenon_H6f zenon_Hf5 zenon_H1d5 zenon_H109 zenon_H230 zenon_H264 zenon_H1f zenon_H66 zenon_H4c zenon_H23b.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.32/22.44 apply (zenon_L1924_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.44 exact (zenon_H1f zenon_H1e).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.44 apply (zenon_L520_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.44 apply (zenon_L264_); trivial.
% 22.32/22.44 exact (zenon_H238 zenon_H38).
% 22.32/22.44 apply (zenon_L1861_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1925_ *)
% 22.32/22.44 assert (zenon_L1926_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H13a zenon_Ha0 zenon_Ha9 zenon_H6e zenon_H1bf zenon_Hf0 zenon_H201 zenon_H196 zenon_H177 zenon_He4 zenon_H156 zenon_H55 zenon_H1bb zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H129 zenon_Hc4 zenon_H1e zenon_H68 zenon_H139 zenon_H160 zenon_H13f zenon_H18d zenon_Hb6 zenon_H234 zenon_H3f zenon_H93 zenon_H77 zenon_H120.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.44 apply (zenon_L41_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.44 apply (zenon_L110_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.32/22.44 apply (zenon_L95_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.32/22.44 apply (zenon_L857_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.32/22.44 exact (zenon_H1bf zenon_H105).
% 22.32/22.44 apply (zenon_L367_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.32/22.44 apply (zenon_L118_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.32/22.44 exact (zenon_H1bf zenon_H105).
% 22.32/22.44 apply (zenon_L218_); trivial.
% 22.32/22.44 apply (zenon_L540_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1926_ *)
% 22.32/22.44 assert (zenon_L1927_ : (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((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 (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H120 zenon_H77 zenon_H3f zenon_H234 zenon_Hb6 zenon_H18d zenon_H13f zenon_H139 zenon_H68 zenon_H1e zenon_Hc4 zenon_H129 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1bb zenon_H55 zenon_H156 zenon_He4 zenon_H201 zenon_Hf0 zenon_H1bf zenon_Ha9 zenon_Ha0 zenon_H13a zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.44 apply (zenon_L20_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.44 apply (zenon_L1926_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.44 apply (zenon_L122_); trivial.
% 22.32/22.44 apply (zenon_L167_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1927_ *)
% 22.32/22.44 assert (zenon_L1928_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H13a zenon_H1e zenon_Ha9 zenon_H6e zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H155.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.44 apply (zenon_L41_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.44 apply (zenon_L110_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.44 apply (zenon_L68_); trivial.
% 22.32/22.44 apply (zenon_L115_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1928_ *)
% 22.32/22.44 assert (zenon_L1929_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H15d zenon_H4c zenon_H177 zenon_H160 zenon_H77 zenon_H48 zenon_H139 zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H1e zenon_H13a zenon_H68 zenon_H31 zenon_H93 zenon_H196.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.44 exact (zenon_H4c zenon_H47).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.44 apply (zenon_L215_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.44 apply (zenon_L239_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.44 apply (zenon_L20_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.44 apply (zenon_L1928_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.44 apply (zenon_L264_); trivial.
% 22.32/22.44 apply (zenon_L167_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1929_ *)
% 22.32/22.44 assert (zenon_L1930_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (((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 (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_Hb2 zenon_H120 zenon_H77 zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H67 zenon_H12e zenon_H177 zenon_H31 zenon_H19a zenon_H195 zenon_H163 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_Hfa zenon_H93 zenon_H68 zenon_H1b7 zenon_H179 zenon_H164 zenon_H201 zenon_H1bf zenon_H121 zenon_H33 zenon_H11a zenon_H1a3 zenon_H13c zenon_Ha0 zenon_H25 zenon_Hb6 zenon_H54 zenon_H209.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.32/22.44 apply (zenon_L116_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.32/22.44 apply (zenon_L538_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.32/22.44 apply (zenon_L239_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.32/22.44 apply (zenon_L124_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.32/22.44 exact (zenon_H1bf zenon_H105).
% 22.32/22.44 apply (zenon_L367_); trivial.
% 22.32/22.44 apply (zenon_L862_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.32/22.44 apply (zenon_L116_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.32/22.44 apply (zenon_L151_); trivial.
% 22.32/22.44 exact (zenon_H209 zenon_H9d).
% 22.32/22.44 (* end of lemma zenon_L1930_ *)
% 22.32/22.44 assert (zenon_L1931_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H139 zenon_H7e zenon_H177 zenon_H121 zenon_H209 zenon_Ha0 zenon_H1a3 zenon_Hc4 zenon_H48 zenon_H164 zenon_H77 zenon_H3d zenon_H68 zenon_H31 zenon_H93 zenon_H196.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.44 apply (zenon_L548_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.44 apply (zenon_L214_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.44 apply (zenon_L264_); trivial.
% 22.32/22.44 apply (zenon_L167_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1931_ *)
% 22.32/22.44 assert (zenon_L1932_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H82 zenon_H4c zenon_H3f zenon_H23c zenon_H160 zenon_Hb2 zenon_H120 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H12e zenon_H19a zenon_H195 zenon_H163 zenon_H18d zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_Hfa zenon_H1b7 zenon_H179 zenon_H201 zenon_H1bf zenon_H33 zenon_H11a zenon_H13c zenon_H25 zenon_Hb6 zenon_H139 zenon_H177 zenon_H121 zenon_H209 zenon_Ha0 zenon_H1a3 zenon_Hc4 zenon_H48 zenon_H164 zenon_H77 zenon_H3d zenon_H68 zenon_H31 zenon_H93 zenon_H196.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.44 exact (zenon_H4c zenon_H47).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.44 apply (zenon_L492_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.44 apply (zenon_L1930_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.44 apply (zenon_L214_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.44 apply (zenon_L122_); trivial.
% 22.32/22.44 apply (zenon_L167_); trivial.
% 22.32/22.44 apply (zenon_L1931_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1932_ *)
% 22.32/22.44 assert (zenon_L1933_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (((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)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H139 zenon_H209 zenon_H54 zenon_Hb6 zenon_Ha0 zenon_H13c zenon_H1a3 zenon_H11a zenon_H33 zenon_H121 zenon_H1bf zenon_H201 zenon_H164 zenon_H179 zenon_H1b7 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H19a zenon_H177 zenon_H12e zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H120 zenon_Hb2 zenon_H195 zenon_H93 zenon_H163 zenon_H160 zenon_H173 zenon_H25 zenon_Hfa zenon_H68 zenon_H31 zenon_H155 zenon_H77.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.44 apply (zenon_L1930_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.44 apply (zenon_L229_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.44 apply (zenon_L264_); trivial.
% 22.32/22.44 apply (zenon_L98_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1933_ *)
% 22.32/22.44 assert (zenon_L1934_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H125 zenon_H7e zenon_H177 zenon_H31 zenon_Ha0 zenon_Hac zenon_H48 zenon_H164 zenon_H68 zenon_H25 zenon_H94 zenon_H93 zenon_H160 zenon_Hbc.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.32/22.44 apply (zenon_L718_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.32/22.44 apply (zenon_L171_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.32/22.44 apply (zenon_L38_); trivial.
% 22.32/22.44 apply (zenon_L104_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1934_ *)
% 22.32/22.44 assert (zenon_L1935_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e3) (e2)) = (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) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H236 zenon_He4 zenon_H55 zenon_H186 zenon_H156 zenon_H4e zenon_H1ec zenon_H1d8 zenon_H234 zenon_H73 zenon_H140 zenon_H13e zenon_H104 zenon_H99 zenon_H131 zenon_H19d zenon_H160 zenon_H11a zenon_H3f zenon_H12e zenon_H13f zenon_Hf0 zenon_H1bf zenon_H15d zenon_H196 zenon_H23c zenon_H82 zenon_H4c zenon_Hfa zenon_H173 zenon_H163 zenon_H195 zenon_Hb2 zenon_H212 zenon_H18a zenon_H7d zenon_H19a zenon_H1b7 zenon_H179 zenon_H201 zenon_H121 zenon_H33 zenon_H1a3 zenon_H13c zenon_Hb6 zenon_H209 zenon_H139 zenon_H125 zenon_H177 zenon_Ha0 zenon_Hac zenon_H164 zenon_H68 zenon_H94 zenon_Hbc zenon_Ha9 zenon_H13a zenon_H1fe zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H93 zenon_H77 zenon_H120.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.44 apply (zenon_L1927_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.44 apply (zenon_L554_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.44 apply (zenon_L1929_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.44 exact (zenon_H4c zenon_H47).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.44 apply (zenon_L1932_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.44 apply (zenon_L239_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.44 exact (zenon_H4c zenon_H47).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.44 apply (zenon_L25_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.44 apply (zenon_L1933_); trivial.
% 22.32/22.44 apply (zenon_L1934_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.44 apply (zenon_L526_); trivial.
% 22.32/22.44 apply (zenon_L553_); trivial.
% 22.32/22.44 apply (zenon_L555_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1935_ *)
% 22.32/22.44 assert (zenon_L1936_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (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) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H19a zenon_H93 zenon_H1b4 zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H181 zenon_H20f zenon_H1bb zenon_Hb9 zenon_Ha0 zenon_H12e zenon_H67 zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H160 zenon_H77 zenon_H120.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.32/22.44 apply (zenon_L555_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.32/22.44 apply (zenon_L422_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.32/22.44 apply (zenon_L77_); trivial.
% 22.32/22.44 apply (zenon_L558_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1936_ *)
% 22.32/22.44 assert (zenon_L1937_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (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) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H141 zenon_H3f zenon_Hf0 zenon_H93 zenon_H77 zenon_H1bf zenon_H48 zenon_H117 zenon_Hb6 zenon_H131 zenon_H19a zenon_H1b4 zenon_H18d zenon_H20f zenon_Ha0 zenon_H12e zenon_H67 zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H160 zenon_H13f zenon_Hef zenon_H133 zenon_H1bb zenon_H129 zenon_H120 zenon_H181 zenon_Hc4.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.32/22.44 apply (zenon_L526_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.32/22.44 apply (zenon_L151_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.32/22.44 apply (zenon_L152_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.32/22.44 apply (zenon_L259_); trivial.
% 22.32/22.44 apply (zenon_L1936_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.32/22.44 apply (zenon_L111_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.32/22.44 exact (zenon_H1bf zenon_H105).
% 22.32/22.44 apply (zenon_L218_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.32/22.44 apply (zenon_L265_); trivial.
% 22.32/22.44 apply (zenon_L415_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1937_ *)
% 22.32/22.44 assert (zenon_L1938_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_Hfa zenon_H68 zenon_H186 zenon_H3f zenon_H156 zenon_H4e zenon_H25 zenon_H1ec zenon_H141 zenon_Hf0 zenon_H77 zenon_H1bf zenon_H48 zenon_H117 zenon_Hb6 zenon_H131 zenon_H19a zenon_H1b4 zenon_H18d zenon_H20f zenon_Ha0 zenon_H12e zenon_H67 zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H13f zenon_H1bb zenon_H129 zenon_H120 zenon_H181 zenon_Hc4 zenon_Hac zenon_H11a zenon_H13c zenon_H160 zenon_H163 zenon_H93 zenon_H195.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.32/22.44 apply (zenon_L171_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.32/22.44 apply (zenon_L116_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.32/22.44 apply (zenon_L79_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.32/22.44 apply (zenon_L1937_); trivial.
% 22.32/22.44 apply (zenon_L525_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.32/22.44 apply (zenon_L227_); trivial.
% 22.32/22.44 apply (zenon_L228_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1938_ *)
% 22.32/22.44 assert (zenon_L1939_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((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)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H1fe zenon_H19d zenon_H177 zenon_H2a zenon_H68 zenon_Hfa zenon_H186 zenon_H156 zenon_H4e zenon_H1ec zenon_H141 zenon_H117 zenon_Hb6 zenon_H131 zenon_H19a zenon_H1b4 zenon_H18d zenon_H20f zenon_Ha0 zenon_H181 zenon_Hac zenon_H11a zenon_H13c zenon_H163 zenon_H195 zenon_H139 zenon_H196 zenon_H125 zenon_H94 zenon_H15d zenon_H1bf zenon_H3f zenon_Hf0 zenon_H13f zenon_H12e zenon_H48 zenon_Hc4 zenon_H93 zenon_H129 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1bb zenon_H160 zenon_H77 zenon_H120.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.44 apply (zenon_L161_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.44 apply (zenon_L541_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.44 apply (zenon_L65_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.44 apply (zenon_L1938_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.44 apply (zenon_L147_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.44 apply (zenon_L94_); trivial.
% 22.32/22.44 apply (zenon_L167_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.44 apply (zenon_L1938_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.44 apply (zenon_L147_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.44 apply (zenon_L122_); trivial.
% 22.32/22.44 apply (zenon_L98_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.44 apply (zenon_L526_); trivial.
% 22.32/22.44 apply (zenon_L528_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1939_ *)
% 22.32/22.44 assert (zenon_L1940_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H19a zenon_H26d zenon_H31 zenon_H20f zenon_Hc4 zenon_H181 zenon_H120 zenon_H129 zenon_H1bb zenon_H34 zenon_H18a.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.32/22.44 apply (zenon_L756_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.32/22.44 apply (zenon_L422_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.32/22.44 apply (zenon_L415_); trivial.
% 22.32/22.44 apply (zenon_L416_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1940_ *)
% 22.32/22.44 assert (zenon_L1941_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((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 (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((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)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.32/22.44 do 0 intro. intros zenon_H236 zenon_H201 zenon_He4 zenon_H55 zenon_H234 zenon_H19d zenon_H18a zenon_H181 zenon_H26d zenon_H19a zenon_H13f zenon_Hf0 zenon_H3f zenon_H1bf zenon_H82 zenon_H4c zenon_Hfa zenon_H186 zenon_H156 zenon_H4e zenon_H1ec zenon_H141 zenon_H117 zenon_Hb6 zenon_H131 zenon_H12e zenon_H209 zenon_H7d zenon_H212 zenon_H11a zenon_H13c zenon_H163 zenon_H195 zenon_H125 zenon_H177 zenon_Ha0 zenon_Hac zenon_H164 zenon_H68 zenon_H94 zenon_H160 zenon_Hbc zenon_H15d zenon_H139 zenon_Ha9 zenon_H13a zenon_H196 zenon_H1fe zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H93 zenon_H77 zenon_H120.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.44 apply (zenon_L1927_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.44 apply (zenon_L1939_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.44 apply (zenon_L1929_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.44 exact (zenon_H4c zenon_H47).
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.44 apply (zenon_L25_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.32/22.44 apply (zenon_L1938_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.32/22.44 apply (zenon_L171_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.32/22.44 apply (zenon_L30_); trivial.
% 22.32/22.44 apply (zenon_L104_); trivial.
% 22.32/22.44 apply (zenon_L1934_); trivial.
% 22.32/22.44 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.44 apply (zenon_L526_); trivial.
% 22.32/22.44 apply (zenon_L1940_); trivial.
% 22.32/22.44 apply (zenon_L555_); trivial.
% 22.32/22.44 (* end of lemma zenon_L1941_ *)
% 22.32/22.44 assert (zenon_L1942_ : (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (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) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.32/22.45 do 0 intro. intros zenon_H1fb zenon_H192 zenon_H190 zenon_H183 zenon_H2c zenon_H111 zenon_H1c6 zenon_H23d zenon_H1a8 zenon_Hcc zenon_H1a2 zenon_H1ef zenon_H24e zenon_H25b zenon_H25e zenon_H13b zenon_H16a zenon_H1cf zenon_H189 zenon_H1c3 zenon_H6f zenon_Hf5 zenon_H1d5 zenon_H109 zenon_H230 zenon_H264 zenon_Ha0 zenon_Ha9 zenon_H13f zenon_Hf0 zenon_Hb6 zenon_H139 zenon_H196 zenon_H177 zenon_H77 zenon_H156 zenon_H55 zenon_H1bb zenon_H129 zenon_H18a zenon_Hbc zenon_H212 zenon_He4 zenon_H1bf zenon_H201 zenon_H18d zenon_H234 zenon_H13a zenon_H68 zenon_H1fe zenon_H12e zenon_H48 zenon_H13c zenon_H4e zenon_H163 zenon_H186 zenon_H1ec zenon_H1d8 zenon_H13e zenon_H131 zenon_H104 zenon_H140 zenon_H33 zenon_H11a zenon_H121 zenon_H195 zenon_Hfa zenon_H82 zenon_H19a zenon_H164 zenon_Hb2 zenon_H73 zenon_H94 zenon_H125 zenon_H15d zenon_H19d zenon_H20f zenon_H1b4 zenon_H1b7 zenon_H179 zenon_H23c zenon_H173 zenon_H4c zenon_H236 zenon_H117 zenon_H141 zenon_H26d zenon_H1cb zenon_H7d zenon_H3f zenon_H1cd zenon_Hac.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.32/22.45 apply (zenon_L2_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.32/22.45 apply (zenon_L482_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.32/22.45 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.32/22.45 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 22.32/22.45 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.32/22.45 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.32/22.45 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.32/22.45 apply (zenon_L1920_); trivial.
% 22.32/22.45 apply (zenon_L1920_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.32/22.45 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.32/22.45 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.32/22.45 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.32/22.45 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.32/22.45 exact (zenon_H1c7 zenon_Hac).
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.45 exact (zenon_H4c zenon_H47).
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.45 apply (zenon_L1923_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.45 apply (zenon_L1648_); trivial.
% 22.32/22.45 apply (zenon_L246_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.32/22.45 apply (zenon_L513_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.32/22.45 apply (zenon_L11_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.32/22.45 apply (zenon_L483_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.32/22.45 apply (zenon_L485_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.32/22.45 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.32/22.45 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.32/22.45 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.32/22.45 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.32/22.45 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.32/22.45 apply (zenon_L1925_); trivial.
% 22.32/22.45 apply (zenon_L1925_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.32/22.45 apply (zenon_L522_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.32/22.45 apply (zenon_L37_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.32/22.45 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.32/22.45 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.32/22.45 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.32/22.45 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.32/22.45 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.32/22.45 exact (zenon_H1c7 zenon_Hac).
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.32/22.45 apply (zenon_L1935_); trivial.
% 22.32/22.45 apply (zenon_L1935_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.32/22.45 apply (zenon_L1941_); trivial.
% 22.32/22.45 apply (zenon_L1941_); trivial.
% 22.32/22.45 apply (zenon_L530_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.32/22.45 apply (zenon_L387_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.32/22.45 apply (zenon_L531_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.32/22.45 apply (zenon_L388_); trivial.
% 22.32/22.45 apply (zenon_L51_); trivial.
% 22.32/22.45 (* end of lemma zenon_L1942_ *)
% 22.32/22.45 assert (zenon_L1943_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (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)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False).
% 22.32/22.45 do 0 intro. intros zenon_H2f zenon_H1cd zenon_H3f zenon_H7d zenon_H1cb zenon_H26d zenon_H141 zenon_H117 zenon_H236 zenon_H4c zenon_H173 zenon_H23c zenon_H179 zenon_H1b7 zenon_H1b4 zenon_H20f zenon_H19d zenon_H15d zenon_H125 zenon_H94 zenon_H73 zenon_Hb2 zenon_H164 zenon_H19a zenon_H82 zenon_Hfa zenon_H195 zenon_H121 zenon_H11a zenon_H33 zenon_H140 zenon_H104 zenon_H131 zenon_H13e zenon_H1d8 zenon_H1ec zenon_H186 zenon_H163 zenon_H4e zenon_H13c zenon_H48 zenon_H12e zenon_H1fe zenon_H13a zenon_H234 zenon_H18d zenon_H201 zenon_H1bf zenon_He4 zenon_H212 zenon_Hbc zenon_H18a zenon_H129 zenon_H1bb zenon_H55 zenon_H156 zenon_H177 zenon_H196 zenon_H139 zenon_Hb6 zenon_Hf0 zenon_H13f zenon_Ha9 zenon_Ha0 zenon_H264 zenon_H230 zenon_H109 zenon_H1d5 zenon_Hf5 zenon_H6f zenon_H1c3 zenon_H189 zenon_H1cf zenon_H16a zenon_H13b zenon_H25e zenon_H25b zenon_H24e zenon_H1ef zenon_H1a2 zenon_Hcc zenon_H1a8 zenon_H23d zenon_H1c6 zenon_H111 zenon_H2c zenon_H183 zenon_H190 zenon_H192 zenon_H1fb zenon_H2d zenon_H8b zenon_H16b zenon_H68 zenon_H31 zenon_H77.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.45 exact (zenon_H4c zenon_H47).
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.45 apply (zenon_L1914_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.45 apply (zenon_L239_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.32/22.45 apply (zenon_L239_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.32/22.45 apply (zenon_L486_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.32/22.45 exact (zenon_H1bf zenon_H105).
% 22.32/22.45 apply (zenon_L1919_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.32/22.45 apply (zenon_L110_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.32/22.45 apply (zenon_L216_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.32/22.45 apply (zenon_L715_); trivial.
% 22.32/22.45 apply (zenon_L1942_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.45 apply (zenon_L264_); trivial.
% 22.32/22.45 apply (zenon_L98_); trivial.
% 22.32/22.45 (* end of lemma zenon_L1943_ *)
% 22.32/22.45 assert (zenon_L1944_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((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 (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (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) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((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)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((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 (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> False).
% 22.32/22.45 do 0 intro. intros zenon_H92 zenon_H4c zenon_H82 zenon_Hb6 zenon_H16a zenon_H8b zenon_Ha9 zenon_H68 zenon_H125 zenon_H2f zenon_H1d8 zenon_H156 zenon_H1bf zenon_H1cf zenon_H77 zenon_H4e zenon_H201 zenon_Ha0 zenon_H177 zenon_H31 zenon_H164 zenon_H1c6 zenon_H2d zenon_H48 zenon_H3f zenon_H23c zenon_H26d zenon_H264 zenon_H230 zenon_H109 zenon_H1d5 zenon_Hf5 zenon_H189 zenon_H13b zenon_H173 zenon_H25e zenon_H25b zenon_H94 zenon_Hb2 zenon_H19a zenon_H1b4 zenon_H20f zenon_H1b7 zenon_H179 zenon_H24e zenon_H1a2 zenon_Hcc zenon_H1cd zenon_H19d zenon_H195 zenon_H212 zenon_Hbc zenon_H7d zenon_H18a zenon_H1bb zenon_Hfa zenon_H13c zenon_H55 zenon_H23d zenon_H1fe zenon_H111 zenon_H140 zenon_H13f zenon_H163 zenon_H73 zenon_H131 zenon_H1ec zenon_H236 zenon_H33 zenon_H129 zenon_H190 zenon_He4 zenon_H192 zenon_H104 zenon_H1fb zenon_Hf0 zenon_H1a8 zenon_H117 zenon_H234 zenon_H18d zenon_H196 zenon_H141 zenon_H12e zenon_H11a zenon_H183 zenon_H13a zenon_H13e zenon_H1ef zenon_H186 zenon_H121 zenon_H1cb zenon_H6f zenon_H139 zenon_H15d zenon_H1c3 zenon_H2c.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.32/22.45 apply (zenon_L1943_); trivial.
% 22.32/22.45 apply (zenon_L644_); trivial.
% 22.32/22.45 (* end of lemma zenon_L1944_ *)
% 22.32/22.45 assert (zenon_L1945_ : (((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))))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.32/22.45 do 0 intro. intros zenon_H13c zenon_H26a zenon_Ha0 zenon_H5d zenon_Hc4 zenon_Hb6 zenon_Hfe zenon_H73 zenon_H18d zenon_H48 zenon_H234 zenon_H3f zenon_H1b7 zenon_H171 zenon_H77 zenon_Ha9 zenon_H38 zenon_H68 zenon_H1c3 zenon_H120.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.32/22.45 apply (zenon_L1656_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.32/22.45 apply (zenon_L216_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.32/22.45 apply (zenon_L89_); trivial.
% 22.32/22.45 apply (zenon_L1657_); trivial.
% 22.32/22.45 (* end of lemma zenon_L1945_ *)
% 22.32/22.45 assert (zenon_L1946_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.32/22.45 do 0 intro. intros zenon_H1a8 zenon_H3d zenon_H141 zenon_H117 zenon_H196 zenon_H23c zenon_H4c zenon_H82 zenon_H36 zenon_H13c zenon_H26a zenon_Ha0 zenon_H5d zenon_Hc4 zenon_Hb6 zenon_Hfe zenon_H73 zenon_H18d zenon_H48 zenon_H234 zenon_H3f zenon_H1b7 zenon_H77 zenon_Ha9 zenon_H38 zenon_H68 zenon_H1c3 zenon_H120.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.32/22.45 apply (zenon_L214_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.32/22.45 apply (zenon_L186_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.32/22.45 apply (zenon_L1922_); trivial.
% 22.32/22.45 apply (zenon_L1945_); trivial.
% 22.32/22.45 (* end of lemma zenon_L1946_ *)
% 22.32/22.45 assert (zenon_L1947_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.32/22.45 do 0 intro. intros zenon_H15d zenon_Ha0 zenon_H1a8 zenon_H141 zenon_H117 zenon_H196 zenon_H23c zenon_H4c zenon_H82 zenon_H36 zenon_H13c zenon_H26a zenon_H5d zenon_Hc4 zenon_Hb6 zenon_H73 zenon_H18d zenon_H234 zenon_H1b7 zenon_H77 zenon_Ha9 zenon_H68 zenon_H1c3 zenon_H1a3 zenon_H183 zenon_H20f zenon_H33 zenon_H121 zenon_H1bf zenon_H201 zenon_H13a zenon_H120 zenon_H177 zenon_H11a zenon_H3f zenon_H34 zenon_H12e zenon_H38 zenon_H48.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.45 exact (zenon_H4c zenon_H47).
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.32/22.45 apply (zenon_L214_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.32/22.45 apply (zenon_L186_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.32/22.45 apply (zenon_L1922_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.32/22.45 apply (zenon_L1656_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.32/22.45 apply (zenon_L538_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.32/22.45 apply (zenon_L1648_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.32/22.45 apply (zenon_L124_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.32/22.45 exact (zenon_H1bf zenon_H105).
% 22.32/22.45 apply (zenon_L1652_); trivial.
% 22.32/22.45 apply (zenon_L1657_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.45 apply (zenon_L55_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.45 apply (zenon_L1946_); trivial.
% 22.32/22.45 apply (zenon_L156_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.45 apply (zenon_L1648_); trivial.
% 22.32/22.45 apply (zenon_L246_); trivial.
% 22.32/22.45 (* end of lemma zenon_L1947_ *)
% 22.32/22.45 assert (zenon_L1948_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (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 (e3) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 22.32/22.45 do 0 intro. intros zenon_Hc2 zenon_H4c zenon_H13a zenon_H73 zenon_H77 zenon_H3f zenon_H36 zenon_H23c zenon_H141 zenon_H196 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H18d zenon_H120 zenon_H234 zenon_H117 zenon_H68 zenon_H48 zenon_H82 zenon_H13c zenon_H12e zenon_H177 zenon_H34 zenon_H1bf zenon_H20f zenon_H183 zenon_H1b7 zenon_H1c3 zenon_H201 zenon_H33 zenon_H11a zenon_H1a3 zenon_H121 zenon_H38 zenon_H26a zenon_H5d zenon_H1a8 zenon_H15d.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.32/22.45 apply (zenon_L1947_); trivial.
% 22.32/22.45 apply (zenon_L1947_); trivial.
% 22.32/22.45 (* end of lemma zenon_L1948_ *)
% 22.32/22.45 assert (zenon_L1949_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False).
% 22.32/22.45 do 0 intro. intros zenon_H1c6 zenon_H38 zenon_H196 zenon_H201 zenon_H1d8 zenon_H3d zenon_H133 zenon_H1bf zenon_H16a zenon_H2c zenon_H67 zenon_H3f zenon_H234 zenon_Ha0 zenon_H54 zenon_H117 zenon_Hcb zenon_H34 zenon_H183 zenon_H104 zenon_H68 zenon_Hb6 zenon_H120 zenon_H12e zenon_H181 zenon_H209 zenon_H121 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H1cb zenon_H109 zenon_H141 zenon_Ha9 zenon_H171.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.32/22.45 apply (zenon_L55_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.32/22.45 apply (zenon_L216_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.32/22.45 apply (zenon_L359_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.32/22.45 apply (zenon_L152_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.32/22.45 apply (zenon_L738_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.32/22.45 apply (zenon_L124_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.32/22.45 exact (zenon_H1bf zenon_H105).
% 22.32/22.45 apply (zenon_L1682_); trivial.
% 22.32/22.45 apply (zenon_L1162_); trivial.
% 22.32/22.45 apply (zenon_L371_); trivial.
% 22.32/22.45 (* end of lemma zenon_L1949_ *)
% 22.32/22.45 assert (zenon_L1950_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((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 (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 22.32/22.45 do 0 intro. intros zenon_H92 zenon_H13e zenon_H1ef zenon_H89 zenon_H4c zenon_H82 zenon_Hb6 zenon_H16a zenon_H8b zenon_Ha9 zenon_H68 zenon_H125 zenon_H2f zenon_H1d8 zenon_H156 zenon_H1bf zenon_H1cf zenon_H77 zenon_H4e zenon_H201 zenon_Ha0 zenon_H177 zenon_H31 zenon_H164 zenon_H1c6 zenon_H2d zenon_H48 zenon_H3f zenon_H23c zenon_H186 zenon_H121 zenon_H1cb zenon_H6f zenon_H6d zenon_H139 zenon_H15d zenon_H1c3.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.45 exact (zenon_H4c zenon_H47).
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.45 apply (zenon_L1914_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.45 apply (zenon_L239_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.32/22.45 apply (zenon_L239_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.32/22.45 apply (zenon_L486_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.32/22.45 exact (zenon_H1bf zenon_H105).
% 22.32/22.45 apply (zenon_L1918_); trivial.
% 22.32/22.45 apply (zenon_L645_); trivial.
% 22.32/22.45 (* end of lemma zenon_L1950_ *)
% 22.32/22.45 assert (zenon_L1951_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((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)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((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)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 22.32/22.45 do 0 intro. intros zenon_H240 zenon_H1f zenon_H23b zenon_H23d zenon_H1bb zenon_H1b4 zenon_H1cb zenon_Hb2 zenon_H1ef zenon_H173 zenon_H183 zenon_H111 zenon_H13b zenon_H4e zenon_Hfa zenon_H179 zenon_H82 zenon_H1c6 zenon_H1d8 zenon_H1fb zenon_H55 zenon_H189 zenon_Hcc zenon_H131 zenon_H109 zenon_Ha0 zenon_H141 zenon_H9d zenon_H11a zenon_H18d zenon_Ha9 zenon_H1cf zenon_H77 zenon_H120 zenon_H12e zenon_H186 zenon_H1d5 zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H192 zenon_H1c3 zenon_H234 zenon_Hb6 zenon_H196 zenon_H9e zenon_H117 zenon_H48 zenon_Hf5 zenon_H13c zenon_H6d zenon_Hf0 zenon_H68 zenon_H236 zenon_H13a zenon_H33 zenon_H15d zenon_H139 zenon_H3f zenon_H23c zenon_H4c zenon_H140 zenon_Hbc zenon_H6f zenon_H1fe.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.45 exact (zenon_H1f zenon_H1e).
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.45 apply (zenon_L610_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.45 exact (zenon_H237 zenon_H31).
% 22.32/22.45 apply (zenon_L156_); trivial.
% 22.32/22.45 apply (zenon_L611_); trivial.
% 22.32/22.45 (* end of lemma zenon_L1951_ *)
% 22.32/22.45 assert (zenon_L1952_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 22.32/22.45 do 0 intro. intros zenon_H201 zenon_H66 zenon_H77 zenon_H156 zenon_H3f zenon_H1bf zenon_Hb6 zenon_Hbb.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.32/22.45 apply (zenon_L94_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.32/22.45 apply (zenon_L486_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.32/22.45 exact (zenon_H1bf zenon_H105).
% 22.32/22.45 apply (zenon_L363_); trivial.
% 22.32/22.45 (* end of lemma zenon_L1952_ *)
% 22.32/22.45 assert (zenon_L1953_ : (((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 (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.32/22.45 do 0 intro. intros zenon_H139 zenon_H68 zenon_H1e zenon_H6f zenon_H6d zenon_Hbb zenon_Hb6 zenon_H1bf zenon_H3f zenon_H156 zenon_H201 zenon_H155 zenon_H77.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.45 apply (zenon_L20_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.45 apply (zenon_L21_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.45 apply (zenon_L1952_); trivial.
% 22.32/22.45 apply (zenon_L98_); trivial.
% 22.32/22.45 (* end of lemma zenon_L1953_ *)
% 22.32/22.45 assert (zenon_L1954_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (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 (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.32/22.45 do 0 intro. intros zenon_H18d zenon_H77 zenon_H201 zenon_H156 zenon_H1bf zenon_Hbb zenon_H6d zenon_H6f zenon_H1e zenon_H68 zenon_H139 zenon_H234 zenon_H3f zenon_Hb9 zenon_Hb6 zenon_H120.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.32/22.45 apply (zenon_L1953_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.32/22.45 apply (zenon_L484_); trivial.
% 22.32/22.45 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.32/22.45 apply (zenon_L182_); trivial.
% 22.32/22.45 exact (zenon_H120 zenon_H11f).
% 22.32/22.45 (* end of lemma zenon_L1954_ *)
% 22.32/22.45 assert (zenon_L1955_ : (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (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 (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e2) (e1)) = (e2)) -> False).
% 22.32/22.46 do 0 intro. intros zenon_H4c zenon_H18d zenon_H120 zenon_H234 zenon_H68 zenon_H6f zenon_H201 zenon_Hb6 zenon_H3f zenon_H156 zenon_H77 zenon_H139 zenon_H13a zenon_H196 zenon_H177 zenon_Ha0 zenon_H48 zenon_H1d8 zenon_H4e zenon_H25b zenon_H25e zenon_H19a zenon_H179 zenon_H173 zenon_H13b zenon_H183 zenon_H163 zenon_Hf0 zenon_Hfa zenon_H195 zenon_H16a zenon_H12e zenon_H11a zenon_H1cf zenon_H1c6 zenon_H1cd zenon_Ha9 zenon_H1bb zenon_H129 zenon_H20f zenon_H189 zenon_H1cb zenon_H1c3 zenon_H1a8 zenon_He4 zenon_H121 zenon_H164 zenon_H104 zenon_H73 zenon_H125 zenon_H13f zenon_H2c zenon_H13e zenon_H1fe zenon_Hbc zenon_H140 zenon_H23c zenon_H15d zenon_H33 zenon_H236 zenon_H13c zenon_Hf5 zenon_H117 zenon_H192 zenon_H1b7 zenon_H7d zenon_H24e zenon_H1d5 zenon_H186 zenon_H141 zenon_H109 zenon_H131 zenon_Hcc zenon_H82 zenon_H111 zenon_H1ef zenon_Hb2 zenon_H1b4 zenon_H23d zenon_H55 zenon_H1fb zenon_H230 zenon_H212 zenon_H1a2 zenon_H19d zenon_H6d.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.32/22.46 apply (zenon_L2_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.32/22.46 apply (zenon_L482_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.32/22.46 exact (zenon_H1ba zenon_H6d).
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.32/22.46 apply (zenon_L1950_); trivial.
% 22.32/22.46 apply (zenon_L1950_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.32/22.46 apply (zenon_L1922_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.32/22.46 apply (zenon_L513_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.32/22.46 apply (zenon_L11_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.32/22.46 apply (zenon_L483_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.32/22.46 apply (zenon_L485_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.32/22.46 apply (zenon_L435_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.32/22.46 apply (zenon_L522_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.32/22.46 apply (zenon_L37_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.32/22.46 apply (zenon_L458_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.32/22.46 apply (zenon_L1951_); trivial.
% 22.32/22.46 apply (zenon_L1951_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.32/22.46 apply (zenon_L531_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.32/22.46 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.32/22.46 exact (zenon_H1ba zenon_H6d).
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.46 apply (zenon_L1954_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.46 apply (zenon_L698_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.46 apply (zenon_L1052_); trivial.
% 22.32/22.46 apply (zenon_L1645_); trivial.
% 22.32/22.46 apply (zenon_L653_); trivial.
% 22.32/22.46 apply (zenon_L51_); trivial.
% 22.32/22.46 (* end of lemma zenon_L1955_ *)
% 22.32/22.46 assert (zenon_L1956_ : ((op (e1) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((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)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (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) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False).
% 22.32/22.46 do 0 intro. intros zenon_H3f zenon_H6d zenon_H1c3 zenon_H15d zenon_H139 zenon_H6f zenon_H1cb zenon_H121 zenon_H186 zenon_H23c zenon_H48 zenon_H1c6 zenon_H164 zenon_H177 zenon_Ha0 zenon_H201 zenon_H4e zenon_H77 zenon_H1cf zenon_H156 zenon_H1d8 zenon_H125 zenon_H68 zenon_Ha9 zenon_H16a zenon_Hb6 zenon_H82 zenon_H4c zenon_H1ef zenon_H13e zenon_H141 zenon_H196 zenon_H18d zenon_H234 zenon_H117 zenon_Hf0 zenon_H55 zenon_H189 zenon_H23d zenon_H1bb zenon_H1b4 zenon_Hb2 zenon_H173 zenon_H183 zenon_H111 zenon_H13b zenon_Hfa zenon_H179 zenon_H1fb zenon_Hcc zenon_H131 zenon_H109 zenon_H11a zenon_H12e zenon_H1d5 zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H192 zenon_Hf5 zenon_H13c zenon_H236 zenon_H13a zenon_H33 zenon_H140 zenon_Hbc zenon_H1fe zenon_H25b zenon_H25e zenon_H19a zenon_H163 zenon_H195 zenon_H129 zenon_H20f zenon_H1a8 zenon_He4 zenon_H104 zenon_H73 zenon_H13f zenon_H2c zenon_H230 zenon_H212 zenon_H1a2 zenon_H19d.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H120 | zenon_intro zenon_Hac ].
% 22.32/22.46 apply (zenon_L1955_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.32/22.46 apply (zenon_L2_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.32/22.46 apply (zenon_L482_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.32/22.46 exact (zenon_H1ba zenon_H6d).
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.32/22.46 apply (zenon_L1915_); trivial.
% 22.32/22.46 apply (zenon_L1915_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.32/22.46 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.32/22.46 exact (zenon_H1c7 zenon_Hac).
% 22.32/22.46 apply (zenon_L1921_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.32/22.46 apply (zenon_L513_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.32/22.46 apply (zenon_L11_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.32/22.46 apply (zenon_L319_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.32/22.46 apply (zenon_L485_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.32/22.46 apply (zenon_L435_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.32/22.46 apply (zenon_L522_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.32/22.46 apply (zenon_L37_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.32/22.46 apply (zenon_L458_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.32/22.46 apply (zenon_L387_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.32/22.46 apply (zenon_L531_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.32/22.46 apply (zenon_L388_); trivial.
% 22.32/22.46 apply (zenon_L51_); trivial.
% 22.32/22.46 (* end of lemma zenon_L1956_ *)
% 22.32/22.46 assert (zenon_L1957_ : ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (((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))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 22.32/22.46 do 0 intro. intros zenon_H54 zenon_H19d zenon_H1a2 zenon_H212 zenon_H230 zenon_H2c zenon_H13f zenon_H73 zenon_H104 zenon_He4 zenon_H1a8 zenon_H20f zenon_H195 zenon_H163 zenon_H19a zenon_H25e zenon_H25b zenon_H1fe zenon_Hbc zenon_H140 zenon_H33 zenon_H13a zenon_H236 zenon_H13c zenon_Hf5 zenon_H192 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H24e zenon_H1d5 zenon_H12e zenon_H11a zenon_H109 zenon_H131 zenon_Hcc zenon_H1fb zenon_H179 zenon_Hfa zenon_H13b zenon_H173 zenon_Hb2 zenon_H1b4 zenon_H1bb zenon_H23d zenon_H189 zenon_H55 zenon_Hf0 zenon_H117 zenon_H234 zenon_H18d zenon_H196 zenon_H141 zenon_H13e zenon_H1ef zenon_H4c zenon_H82 zenon_Hb6 zenon_H16a zenon_H125 zenon_H1d8 zenon_H156 zenon_H1cf zenon_H77 zenon_H4e zenon_H201 zenon_Ha0 zenon_H164 zenon_H1c6 zenon_H48 zenon_H23c zenon_H186 zenon_H121 zenon_H1cb zenon_H6f zenon_H139 zenon_H15d zenon_H1c3 zenon_H3f zenon_H111 zenon_H183 zenon_H68 zenon_H34 zenon_Hac zenon_Ha9 zenon_H66 zenon_H177 zenon_H129.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.46 apply (zenon_L30_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.46 apply (zenon_L1956_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.46 apply (zenon_L258_); trivial.
% 22.32/22.46 apply (zenon_L1596_); trivial.
% 22.32/22.46 (* end of lemma zenon_L1957_ *)
% 22.32/22.46 assert (zenon_L1958_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (((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) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (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) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.32/22.46 do 0 intro. intros zenon_Hcb zenon_H209 zenon_H1c3 zenon_Ha9 zenon_H77 zenon_H1b7 zenon_H234 zenon_H18d zenon_Hc4 zenon_H181 zenon_H1bf zenon_H19d zenon_H1a2 zenon_H212 zenon_H230 zenon_H2c zenon_H13f zenon_H73 zenon_H104 zenon_He4 zenon_H1a8 zenon_H20f zenon_H195 zenon_H163 zenon_H19a zenon_H25e zenon_H25b zenon_H1fe zenon_Hbc zenon_H140 zenon_H33 zenon_H13a zenon_H236 zenon_H13c zenon_Hf5 zenon_H192 zenon_H1cd zenon_H7d zenon_H24e zenon_H1d5 zenon_H109 zenon_H131 zenon_Hcc zenon_H1fb zenon_H179 zenon_Hfa zenon_H13b zenon_H173 zenon_Hb2 zenon_H1b4 zenon_H1bb zenon_H23d zenon_H189 zenon_H55 zenon_Hf0 zenon_H117 zenon_H196 zenon_H141 zenon_H13e zenon_H1ef zenon_H4c zenon_H82 zenon_Hb6 zenon_H16a zenon_H125 zenon_H1d8 zenon_H156 zenon_H1cf zenon_H4e zenon_H201 zenon_Ha0 zenon_H164 zenon_H1c6 zenon_H23c zenon_H186 zenon_H121 zenon_H1cb zenon_H6f zenon_H139 zenon_H15d zenon_H111 zenon_H183 zenon_H129 zenon_H5d zenon_H26a zenon_H68 zenon_H120 zenon_H177 zenon_H11a zenon_H3f zenon_H34 zenon_H12e zenon_H38 zenon_H48.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.46 exact (zenon_H4c zenon_H47).
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.46 exact (zenon_H4c zenon_H47).
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.46 apply (zenon_L492_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.32/22.46 apply (zenon_L214_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.32/22.46 apply (zenon_L186_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.32/22.46 apply (zenon_L1647_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.32/22.46 apply (zenon_L1656_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.32/22.46 apply (zenon_L216_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.32/22.46 apply (zenon_L1949_); trivial.
% 22.32/22.46 apply (zenon_L1657_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.46 apply (zenon_L214_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.32/22.46 apply (zenon_L214_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.32/22.46 apply (zenon_L186_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.32/22.46 apply (zenon_L1647_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.32/22.46 apply (zenon_L1656_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.32/22.46 apply (zenon_L216_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.32/22.46 apply (zenon_L55_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.32/22.46 apply (zenon_L216_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.32/22.46 apply (zenon_L217_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.32/22.46 apply (zenon_L152_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.32/22.46 apply (zenon_L94_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.32/22.46 apply (zenon_L124_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.32/22.46 exact (zenon_H1bf zenon_H105).
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.46 apply (zenon_L516_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.46 apply (zenon_L1646_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.46 apply (zenon_L258_); trivial.
% 22.32/22.46 apply (zenon_L1159_); trivial.
% 22.32/22.46 apply (zenon_L415_); trivial.
% 22.32/22.46 apply (zenon_L1957_); trivial.
% 22.32/22.46 apply (zenon_L1657_); trivial.
% 22.32/22.46 apply (zenon_L165_); trivial.
% 22.32/22.46 apply (zenon_L456_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.46 apply (zenon_L1648_); trivial.
% 22.32/22.46 apply (zenon_L246_); trivial.
% 22.32/22.46 (* end of lemma zenon_L1958_ *)
% 22.32/22.46 assert (zenon_L1959_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e1))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (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) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 22.32/22.46 do 0 intro. intros zenon_H240 zenon_H65 zenon_H1bf zenon_H204 zenon_H3f zenon_H1d8 zenon_H1fb zenon_H48 zenon_Hf0 zenon_H234 zenon_H77 zenon_Ha0 zenon_H141 zenon_H164 zenon_H104 zenon_H192 zenon_He4 zenon_H177 zenon_H190 zenon_H121 zenon_H129 zenon_H33 zenon_H196 zenon_H183 zenon_H23c zenon_H15d zenon_H236 zenon_H2c zenon_H13a zenon_H139 zenon_H82 zenon_H201 zenon_Ha9 zenon_H1ec zenon_H131 zenon_H73 zenon_H163 zenon_H4e zenon_Hb6 zenon_H117 zenon_H156 zenon_H13f zenon_H68 zenon_H140 zenon_H111 zenon_H13e zenon_H1c6 zenon_H1fe zenon_H11a zenon_H23d zenon_H1a8 zenon_H55 zenon_H13c zenon_Hfa zenon_H1bb zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H12e zenon_H195 zenon_H19d zenon_H1cb zenon_H1cd zenon_Hcc zenon_H1a2 zenon_H186 zenon_H1ef zenon_H125 zenon_H24e zenon_H179 zenon_H1b7 zenon_H20f zenon_H1b4 zenon_H18d zenon_H19a zenon_Hb2 zenon_H94 zenon_H25b zenon_H25e zenon_H173 zenon_H13b zenon_H16a zenon_H1cf zenon_H189 zenon_H1c3 zenon_H6f zenon_Hf5 zenon_H1d5 zenon_H109 zenon_H230 zenon_H264 zenon_H1f zenon_H66 zenon_H4c zenon_H23b.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.32/22.46 apply (zenon_L1924_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.46 exact (zenon_H1f zenon_H1e).
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.46 apply (zenon_L537_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.46 apply (zenon_L264_); trivial.
% 22.32/22.46 exact (zenon_H238 zenon_H38).
% 22.32/22.46 apply (zenon_L1861_); trivial.
% 22.32/22.46 (* end of lemma zenon_L1959_ *)
% 22.32/22.46 assert (zenon_L1960_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e3) (e2)) = (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) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.32/22.46 do 0 intro. intros zenon_H236 zenon_He4 zenon_H55 zenon_H94 zenon_H125 zenon_H186 zenon_H156 zenon_H4e zenon_H1ec zenon_H1d8 zenon_H234 zenon_H73 zenon_H140 zenon_H13e zenon_H104 zenon_H99 zenon_H131 zenon_H19d zenon_H160 zenon_H11a zenon_H3f zenon_H12e zenon_H13f zenon_Hf0 zenon_H1bf zenon_H15d zenon_H196 zenon_H23c zenon_H82 zenon_H4c zenon_Hb2 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H19a zenon_H1b7 zenon_H179 zenon_H201 zenon_H33 zenon_H13c zenon_Hb6 zenon_H139 zenon_H177 zenon_H121 zenon_H209 zenon_Ha0 zenon_H1a3 zenon_H164 zenon_H195 zenon_H163 zenon_H173 zenon_Hfa zenon_H68 zenon_Ha9 zenon_H13a zenon_H1fe zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H93 zenon_H77 zenon_H120.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.46 apply (zenon_L1927_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.46 apply (zenon_L554_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.46 apply (zenon_L1929_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.46 exact (zenon_H4c zenon_H47).
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.46 apply (zenon_L1932_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.46 apply (zenon_L239_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.46 exact (zenon_H4c zenon_H47).
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.46 apply (zenon_L25_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.46 apply (zenon_L1933_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.46 apply (zenon_L548_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.46 apply (zenon_L229_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.46 apply (zenon_L264_); trivial.
% 22.32/22.46 apply (zenon_L98_); trivial.
% 22.32/22.46 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.46 apply (zenon_L526_); trivial.
% 22.32/22.46 apply (zenon_L553_); trivial.
% 22.32/22.46 apply (zenon_L555_); trivial.
% 22.32/22.46 (* end of lemma zenon_L1960_ *)
% 22.32/22.47 assert (zenon_L1961_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((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 (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (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) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H236 zenon_H201 zenon_He4 zenon_H55 zenon_H234 zenon_H140 zenon_H1cb zenon_H104 zenon_H121 zenon_H1cd zenon_H24e zenon_H11a zenon_H4e zenon_H99 zenon_H131 zenon_H13e zenon_H1d8 zenon_H1ec zenon_H186 zenon_H156 zenon_H13c zenon_H19d zenon_Hc2 zenon_H160 zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H12e zenon_H13f zenon_Hf0 zenon_H3f zenon_H1bf zenon_H139 zenon_H177 zenon_H19a zenon_H181 zenon_H1b7 zenon_H179 zenon_H164 zenon_H195 zenon_H163 zenon_H173 zenon_Hfa zenon_H68 zenon_H196 zenon_H15d zenon_H4c zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H13a zenon_H1fe zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H93 zenon_H77 zenon_H120.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.47 apply (zenon_L1927_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.47 apply (zenon_L565_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.32/22.47 apply (zenon_L1929_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.47 apply (zenon_L559_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.47 apply (zenon_L229_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.47 apply (zenon_L264_); trivial.
% 22.32/22.47 apply (zenon_L167_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.32/22.47 apply (zenon_L526_); trivial.
% 22.32/22.47 apply (zenon_L528_); trivial.
% 22.32/22.47 apply (zenon_L555_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1961_ *)
% 22.32/22.47 assert (zenon_L1962_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H240 zenon_H33 zenon_H23d zenon_H1f zenon_H15d zenon_H9e zenon_Hb6 zenon_H9d zenon_H11a zenon_H3f zenon_H177 zenon_H120 zenon_H12e zenon_H48 zenon_H4c zenon_Ha0 zenon_H236.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.47 exact (zenon_H1f zenon_H1e).
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.47 apply (zenon_L567_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.47 exact (zenon_H237 zenon_H31).
% 22.32/22.47 apply (zenon_L156_); trivial.
% 22.32/22.47 apply (zenon_L611_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1962_ *)
% 22.32/22.47 assert (zenon_L1963_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (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 (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H16a zenon_H7b zenon_H120 zenon_Hb6 zenon_Hb9 zenon_H3f zenon_H234 zenon_H139 zenon_H68 zenon_H1e zenon_H6f zenon_Hbb zenon_H1bf zenon_H156 zenon_H201 zenon_H77 zenon_H18d zenon_H8b zenon_Hf6 zenon_H196.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.47 exact (zenon_H7b zenon_H65).
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.47 apply (zenon_L1954_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.47 exact (zenon_H8b zenon_H8a).
% 22.32/22.47 apply (zenon_L167_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1963_ *)
% 22.32/22.47 assert (zenon_L1964_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (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 (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H177 zenon_Ha9 zenon_Ha0 zenon_H13a zenon_H16a zenon_H7b zenon_H120 zenon_Hb6 zenon_Hb9 zenon_H3f zenon_H234 zenon_H139 zenon_H68 zenon_H1e zenon_H6f zenon_Hbb zenon_H1bf zenon_H156 zenon_H201 zenon_H77 zenon_H18d zenon_H8b zenon_H196.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.47 apply (zenon_L20_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.47 apply (zenon_L181_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.47 apply (zenon_L1952_); trivial.
% 22.32/22.47 apply (zenon_L1963_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1964_ *)
% 22.32/22.47 assert (zenon_L1965_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (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 (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H92 zenon_H89 zenon_H7b zenon_H18d zenon_H120 zenon_H234 zenon_H6f zenon_H139 zenon_H8b zenon_H16a zenon_H77 zenon_H156 zenon_H3f zenon_H1bf zenon_Hb6 zenon_H201 zenon_Ha0 zenon_Ha9 zenon_H177 zenon_Hbb zenon_H196 zenon_Hb9 zenon_H13a zenon_H68 zenon_H48 zenon_H1d8 zenon_H4e zenon_H25b zenon_H25e zenon_H19a zenon_H179 zenon_H173 zenon_H13b zenon_H183 zenon_H163 zenon_Hf0 zenon_Hfa zenon_H195 zenon_H12e zenon_H11a zenon_H1cf zenon_H1c6 zenon_H1cd zenon_H1bb zenon_H129 zenon_Hc0 zenon_H20f zenon_H189 zenon_H1cb zenon_H1c3 zenon_H1a8 zenon_He4 zenon_H121 zenon_H164 zenon_H104 zenon_H73 zenon_H125 zenon_H13f zenon_H2c zenon_H13e zenon_H1fe zenon_Hbc zenon_H140 zenon_H23c zenon_H15d zenon_H33 zenon_H236 zenon_H13c zenon_Hf5 zenon_H117 zenon_H192 zenon_H1b7 zenon_H7d zenon_H24e zenon_H1d5 zenon_H186 zenon_H141 zenon_H109 zenon_H131 zenon_Hcc zenon_H82 zenon_H111 zenon_H1ef zenon_Hb2 zenon_H1b4 zenon_H23d zenon_H55 zenon_H1fb zenon_H230 zenon_H212 zenon_H1a2 zenon_H19d.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.47 apply (zenon_L1964_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.47 apply (zenon_L694_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.47 apply (zenon_L1052_); trivial.
% 22.32/22.47 apply (zenon_L1645_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.32/22.47 apply (zenon_L1964_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.32/22.47 apply (zenon_L696_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.32/22.47 apply (zenon_L1052_); trivial.
% 22.32/22.47 apply (zenon_L1645_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1965_ *)
% 22.32/22.47 assert (zenon_L1966_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H28 zenon_Hef zenon_H4d.
% 22.32/22.47 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 22.32/22.47 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 22.32/22.47 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.32/22.47 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.32/22.47 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.32/22.47 apply (zenon_L984_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1966_ *)
% 22.32/22.47 assert (zenon_L1967_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H139 zenon_H6c zenon_Hef zenon_H173 zenon_H160 zenon_H177 zenon_H38 zenon_H68.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.47 exact (zenon_H6c zenon_H67).
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.47 apply (zenon_L226_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.47 apply (zenon_L122_); trivial.
% 22.32/22.47 apply (zenon_L165_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1967_ *)
% 22.32/22.47 assert (zenon_L1968_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H183 zenon_H34 zenon_H11a zenon_H68 zenon_H38 zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H77 zenon_H11f.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.32/22.47 apply (zenon_L291_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.32/22.47 apply (zenon_L119_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.32/22.47 apply (zenon_L1967_); trivial.
% 22.32/22.47 apply (zenon_L884_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1968_ *)
% 22.32/22.47 assert (zenon_L1969_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H12e zenon_H1b7 zenon_H1cb zenon_H93 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H183 zenon_H34 zenon_H11a zenon_H68 zenon_H38 zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H77.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.32/22.47 apply (zenon_L456_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.32/22.47 apply (zenon_L1276_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.32/22.47 apply (zenon_L1159_); trivial.
% 22.32/22.47 apply (zenon_L1968_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1969_ *)
% 22.32/22.47 assert (zenon_L1970_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H16a zenon_H54 zenon_Hf0 zenon_H8b zenon_H12e zenon_H1b7 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H183 zenon_H34 zenon_H11a zenon_H68 zenon_H38 zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H77.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.47 apply (zenon_L30_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.47 apply (zenon_L61_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.47 exact (zenon_H8b zenon_H8a).
% 22.32/22.47 apply (zenon_L1969_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1970_ *)
% 22.32/22.47 assert (zenon_L1971_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e1)) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H117 zenon_Ha9 zenon_H65 zenon_Hdb zenon_H6f zenon_H14c zenon_Ha0 zenon_Hb6 zenon_H128.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.32/22.47 apply (zenon_L43_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.32/22.47 apply (zenon_L205_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.32/22.47 apply (zenon_L278_); trivial.
% 22.32/22.47 apply (zenon_L182_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1971_ *)
% 22.32/22.47 assert (zenon_L1972_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H13f zenon_H77 zenon_H7f zenon_H1f1 zenon_H4d zenon_H131 zenon_H117 zenon_Ha9 zenon_H65 zenon_Hdb zenon_H6f zenon_H14c zenon_Ha0 zenon_Hb6.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.32/22.47 apply (zenon_L30_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.32/22.47 apply (zenon_L284_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.32/22.47 apply (zenon_L128_); trivial.
% 22.32/22.47 apply (zenon_L1971_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1972_ *)
% 22.32/22.47 assert (zenon_L1973_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H12e zenon_H48 zenon_H6f zenon_Hdb zenon_H65 zenon_H117 zenon_H131 zenon_H4d zenon_H1f1 zenon_H13f zenon_Hb6 zenon_Ha0 zenon_H14c zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H183 zenon_H34 zenon_H11a zenon_H68 zenon_H38 zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H77.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.32/22.47 apply (zenon_L456_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.32/22.47 apply (zenon_L1972_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.32/22.47 apply (zenon_L687_); trivial.
% 22.32/22.47 apply (zenon_L1968_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1973_ *)
% 22.32/22.47 assert (zenon_L1974_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((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 (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H16a zenon_H1a2 zenon_Ha9 zenon_H66 zenon_H14c zenon_Ha0 zenon_Hb6 zenon_H13f zenon_H1f1 zenon_H4d zenon_H131 zenon_H117 zenon_Hdb zenon_H6f zenon_H53 zenon_H8b zenon_H12e zenon_H1b7 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H183 zenon_H34 zenon_H11a zenon_H68 zenon_H38 zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H77.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.47 apply (zenon_L1973_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.47 apply (zenon_L56_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.47 exact (zenon_H8b zenon_H8a).
% 22.32/22.47 apply (zenon_L1969_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1974_ *)
% 22.32/22.47 assert (zenon_L1975_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e1)) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H16a zenon_Hb6 zenon_Ha0 zenon_H14c zenon_H6f zenon_Hdb zenon_Ha9 zenon_H117 zenon_Hf0 zenon_Hef zenon_H8b zenon_H77 zenon_H128.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.47 apply (zenon_L1971_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.47 apply (zenon_L61_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.47 exact (zenon_H8b zenon_H8a).
% 22.32/22.47 apply (zenon_L218_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1975_ *)
% 22.32/22.47 assert (zenon_L1976_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H139 zenon_H6c zenon_H173 zenon_H177 zenon_H38 zenon_H68 zenon_H11a zenon_H34 zenon_H183 zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1cb zenon_H1b7 zenon_H12e zenon_H131 zenon_H4d zenon_H1f1 zenon_H13f zenon_H66 zenon_H1a2 zenon_H48 zenon_H16a zenon_Hb6 zenon_Ha0 zenon_H14c zenon_H6f zenon_Hdb zenon_Ha9 zenon_H117 zenon_Hf0 zenon_Hef zenon_H8b zenon_H77.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.32/22.47 apply (zenon_L1970_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.32/22.47 apply (zenon_L1974_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.32/22.47 apply (zenon_L255_); trivial.
% 22.32/22.47 apply (zenon_L1975_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1976_ *)
% 22.32/22.47 assert (zenon_L1977_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H140 zenon_H77 zenon_H8b zenon_Hef zenon_Hf0 zenon_H117 zenon_Ha9 zenon_Hdb zenon_H6f zenon_Ha0 zenon_Hb6 zenon_H16a zenon_H48 zenon_H1a2 zenon_H66 zenon_H13f zenon_H1f1 zenon_H4d zenon_H131 zenon_H12e zenon_H1b7 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H183 zenon_H11a zenon_H68 zenon_H38 zenon_H177 zenon_H173 zenon_H6c zenon_H139 zenon_Hbc zenon_H34.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.32/22.47 apply (zenon_L264_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.32/22.47 apply (zenon_L117_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.32/22.47 apply (zenon_L1976_); trivial.
% 22.32/22.47 apply (zenon_L328_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1977_ *)
% 22.32/22.47 assert (zenon_L1978_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H13a zenon_H47 zenon_H34 zenon_Hbc zenon_H139 zenon_H6c zenon_H173 zenon_H177 zenon_H68 zenon_H11a zenon_H183 zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1cb zenon_H1b7 zenon_H12e zenon_H131 zenon_H4d zenon_H1f1 zenon_H13f zenon_H1a2 zenon_H48 zenon_H16a zenon_Hb6 zenon_H6f zenon_H117 zenon_Hf0 zenon_Hef zenon_H8b zenon_H77 zenon_H140 zenon_Ha9 zenon_H66 zenon_H38 zenon_Ha0.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.47 apply (zenon_L253_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.47 apply (zenon_L1977_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.47 apply (zenon_L193_); trivial.
% 22.32/22.47 apply (zenon_L156_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1978_ *)
% 22.32/22.47 assert (zenon_L1979_ : (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (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 (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_Ha0 zenon_Ha9 zenon_H140 zenon_H77 zenon_H8b zenon_Hef zenon_Hf0 zenon_H117 zenon_H6f zenon_Hb6 zenon_H16a zenon_H48 zenon_H1a2 zenon_H13f zenon_H1f1 zenon_H4d zenon_H131 zenon_H12e zenon_H1b7 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H183 zenon_H11a zenon_H177 zenon_H173 zenon_H6c zenon_H139 zenon_Hbc zenon_H34 zenon_H47 zenon_H13a zenon_H38 zenon_H68.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.47 exact (zenon_H6c zenon_H67).
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.47 apply (zenon_L226_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.47 apply (zenon_L1978_); trivial.
% 22.32/22.47 apply (zenon_L165_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1979_ *)
% 22.32/22.47 assert (zenon_L1980_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H15d zenon_Hbc zenon_H131 zenon_H1f1 zenon_H13f zenon_H1a2 zenon_H6f zenon_H117 zenon_H140 zenon_H34 zenon_H16a zenon_Hf0 zenon_H8b zenon_H12e zenon_H1b7 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H183 zenon_H11a zenon_H68 zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H77 zenon_H4e zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H13a zenon_H82 zenon_H73 zenon_H4d zenon_H38 zenon_H48.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.47 apply (zenon_L1979_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.47 apply (zenon_L1149_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.47 apply (zenon_L14_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.47 apply (zenon_L1970_); trivial.
% 22.32/22.47 apply (zenon_L456_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.47 apply (zenon_L184_); trivial.
% 22.32/22.47 apply (zenon_L246_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1980_ *)
% 22.32/22.47 assert (zenon_L1981_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H139 zenon_H6c zenon_Hef zenon_H173 zenon_H160 zenon_H177 zenon_H155 zenon_H77.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.47 exact (zenon_H6c zenon_H67).
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.47 apply (zenon_L226_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.47 apply (zenon_L122_); trivial.
% 22.32/22.47 apply (zenon_L98_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1981_ *)
% 22.32/22.47 assert (zenon_L1982_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H15d zenon_H196 zenon_H93 zenon_H1e zenon_H68 zenon_H73 zenon_H4d zenon_H139 zenon_H6c zenon_Hef zenon_H173 zenon_H160 zenon_H177 zenon_H77.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.47 apply (zenon_L975_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.47 apply (zenon_L215_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.47 apply (zenon_L184_); trivial.
% 22.32/22.47 apply (zenon_L1981_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1982_ *)
% 22.32/22.47 assert (zenon_L1983_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H183 zenon_H7e zenon_H11a zenon_H77 zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H4d zenon_H73 zenon_H1e zenon_H93 zenon_H196 zenon_H15d zenon_H68 zenon_H167.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.32/22.47 apply (zenon_L71_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.32/22.47 apply (zenon_L119_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.32/22.47 apply (zenon_L1982_); trivial.
% 22.32/22.47 apply (zenon_L295_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1983_ *)
% 22.32/22.47 assert (zenon_L1984_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((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)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e0) = (e2))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H141 zenon_H191 zenon_H10c zenon_H117 zenon_H15d zenon_H196 zenon_H1e zenon_H73 zenon_H4d zenon_H139 zenon_H6c zenon_Hef zenon_H173 zenon_H177 zenon_H11a zenon_H7e zenon_H183 zenon_H104 zenon_H18d zenon_Hb6 zenon_H1b7 zenon_H48 zenon_H9e zenon_Ha0 zenon_H19a zenon_H189 zenon_H33 zenon_H164 zenon_Hf0 zenon_H16a zenon_H7b zenon_H53 zenon_H77 zenon_H8b zenon_H68.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.32/22.47 apply (zenon_L731_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.32/22.47 apply (zenon_L111_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.47 exact (zenon_H7b zenon_H65).
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.47 apply (zenon_L61_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.47 exact (zenon_H8b zenon_H8a).
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.32/22.47 apply (zenon_L7_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.32/22.47 apply (zenon_L759_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.32/22.47 apply (zenon_L257_); trivial.
% 22.32/22.47 apply (zenon_L1983_); trivial.
% 22.32/22.47 apply (zenon_L766_); trivial.
% 22.32/22.47 (* end of lemma zenon_L1984_ *)
% 22.32/22.47 assert (zenon_L1985_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.32/22.47 do 0 intro. intros zenon_H183 zenon_H7e zenon_H11a zenon_H77 zenon_H155 zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H181.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.32/22.47 apply (zenon_L71_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.32/22.47 apply (zenon_L119_); trivial.
% 22.32/22.47 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.32/22.47 apply (zenon_L1981_); trivial.
% 22.32/22.47 exact (zenon_H181 zenon_H17c).
% 22.32/22.47 (* end of lemma zenon_L1985_ *)
% 22.32/22.47 assert (zenon_L1986_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H82 zenon_H48 zenon_H1e zenon_H4e zenon_H5a zenon_H55 zenon_H53 zenon_H183 zenon_H11a zenon_H77 zenon_H155 zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H181.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.48 apply (zenon_L13_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.48 apply (zenon_L16_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.48 apply (zenon_L15_); trivial.
% 22.32/22.48 apply (zenon_L1985_); trivial.
% 22.32/22.48 (* end of lemma zenon_L1986_ *)
% 22.32/22.48 assert (zenon_L1987_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((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))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H196 zenon_H8b zenon_Hf0 zenon_H7b zenon_H16a zenon_H13a zenon_H1c6 zenon_H68 zenon_H164 zenon_H33 zenon_H189 zenon_H19a zenon_Ha0 zenon_H1b7 zenon_H18d zenon_H104 zenon_H15d zenon_H117 zenon_H141 zenon_H1a2 zenon_Ha9 zenon_Hb6 zenon_H191 zenon_H1cd zenon_H73 zenon_H4d zenon_H82 zenon_H48 zenon_H1e zenon_H4e zenon_H5a zenon_H55 zenon_H53 zenon_H183 zenon_H11a zenon_H77 zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H181.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.48 apply (zenon_L13_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.48 apply (zenon_L13_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.48 apply (zenon_L16_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.48 apply (zenon_L15_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.48 exact (zenon_H6c zenon_H67).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.48 apply (zenon_L214_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.48 apply (zenon_L41_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.48 apply (zenon_L55_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.48 apply (zenon_L193_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.32/22.48 apply (zenon_L55_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.32/22.48 apply (zenon_L1984_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.32/22.48 apply (zenon_L113_); trivial.
% 22.32/22.48 apply (zenon_L379_); trivial.
% 22.32/22.48 apply (zenon_L621_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.48 apply (zenon_L184_); trivial.
% 22.32/22.48 apply (zenon_L1986_); trivial.
% 22.32/22.48 (* end of lemma zenon_L1987_ *)
% 22.32/22.48 assert (zenon_L1988_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H183 zenon_H34 zenon_Hef zenon_H11a zenon_H196 zenon_H93 zenon_H177 zenon_H2a zenon_H68 zenon_H47 zenon_H139 zenon_H16a zenon_H7b zenon_H53 zenon_H77 zenon_H8b zenon_H129.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.32/22.48 apply (zenon_L291_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.32/22.48 apply (zenon_L119_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.32/22.48 apply (zenon_L352_); trivial.
% 22.32/22.48 apply (zenon_L127_); trivial.
% 22.32/22.48 (* end of lemma zenon_L1988_ *)
% 22.32/22.48 assert (zenon_L1989_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H13f zenon_Hb6 zenon_Ha8 zenon_H7f zenon_H1f1 zenon_H4d zenon_H131 zenon_H77 zenon_H93.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.32/22.48 apply (zenon_L151_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.32/22.48 apply (zenon_L284_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.32/22.48 apply (zenon_L128_); trivial.
% 22.32/22.48 apply (zenon_L218_); trivial.
% 22.32/22.48 (* end of lemma zenon_L1989_ *)
% 22.32/22.48 assert (zenon_L1990_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H12e zenon_H102 zenon_H93 zenon_H77 zenon_H131 zenon_H4d zenon_H1f1 zenon_Ha8 zenon_H13f zenon_Hb6 zenon_Ha0 zenon_H14c zenon_H66 zenon_Ha9 zenon_H1a2 zenon_Hef zenon_He0.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.32/22.48 apply (zenon_L71_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.32/22.48 apply (zenon_L1989_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.32/22.48 apply (zenon_L687_); trivial.
% 22.32/22.48 apply (zenon_L662_); trivial.
% 22.32/22.48 (* end of lemma zenon_L1990_ *)
% 22.32/22.48 assert (zenon_L1991_ : ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H47 zenon_H102 zenon_H167.
% 22.32/22.48 apply (zenon_notand_s _ _ ax13); [ zenon_intro zenon_H286 | zenon_intro zenon_H28e ].
% 22.32/22.48 elim (classic ((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ].
% 22.32/22.48 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3)))) = ((e1) = (op (op (e3) (e3)) (op (e3) (e3))))).
% 22.32/22.48 intro zenon_D_pnotp.
% 22.32/22.48 apply zenon_H286.
% 22.32/22.48 rewrite <- zenon_D_pnotp.
% 22.32/22.48 exact zenon_H24a.
% 22.32/22.48 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24b].
% 22.32/22.48 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H287].
% 22.32/22.48 congruence.
% 22.32/22.48 cut (((op (e0) (e0)) = (e1)) = ((op (op (e3) (e3)) (op (e3) (e3))) = (e1))).
% 22.32/22.48 intro zenon_D_pnotp.
% 22.32/22.48 apply zenon_H287.
% 22.32/22.48 rewrite <- zenon_D_pnotp.
% 22.32/22.48 exact zenon_H47.
% 22.32/22.48 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 22.32/22.48 cut (((op (e0) (e0)) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24d].
% 22.32/22.48 congruence.
% 22.32/22.48 elim (classic ((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ].
% 22.32/22.48 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3)))) = ((op (e0) (e0)) = (op (op (e3) (e3)) (op (e3) (e3))))).
% 22.32/22.48 intro zenon_D_pnotp.
% 22.32/22.48 apply zenon_H24d.
% 22.32/22.48 rewrite <- zenon_D_pnotp.
% 22.32/22.48 exact zenon_H24a.
% 22.32/22.48 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24b].
% 22.32/22.48 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H241].
% 22.32/22.48 congruence.
% 22.32/22.48 apply (zenon_L544_); trivial.
% 22.32/22.48 apply zenon_H24b. apply refl_equal.
% 22.32/22.48 apply zenon_H24b. apply refl_equal.
% 22.32/22.48 apply zenon_H4a. apply refl_equal.
% 22.32/22.48 apply zenon_H24b. apply refl_equal.
% 22.32/22.48 apply zenon_H24b. apply refl_equal.
% 22.32/22.48 apply (zenon_notand_s _ _ zenon_H28e); [ zenon_intro zenon_H20e | zenon_intro zenon_H275 ].
% 22.32/22.48 apply zenon_H20e. apply sym_equal. exact zenon_H167.
% 22.32/22.48 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H244 | zenon_intro zenon_H245 ].
% 22.32/22.48 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e2) = (op (e3) (op (e3) (e3))))).
% 22.32/22.48 intro zenon_D_pnotp.
% 22.32/22.48 apply zenon_H275.
% 22.32/22.48 rewrite <- zenon_D_pnotp.
% 22.32/22.48 exact zenon_H244.
% 22.32/22.48 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H245].
% 22.32/22.48 cut (((op (e3) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H276].
% 22.32/22.48 congruence.
% 22.32/22.48 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (op (e3) (e3))) = (e2))).
% 22.32/22.48 intro zenon_D_pnotp.
% 22.32/22.48 apply zenon_H276.
% 22.32/22.48 rewrite <- zenon_D_pnotp.
% 22.32/22.48 exact zenon_H102.
% 22.32/22.48 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 22.32/22.48 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H247].
% 22.32/22.48 congruence.
% 22.32/22.48 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H244 | zenon_intro zenon_H245 ].
% 22.32/22.48 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))).
% 22.32/22.48 intro zenon_D_pnotp.
% 22.32/22.48 apply zenon_H247.
% 22.32/22.48 rewrite <- zenon_D_pnotp.
% 22.32/22.48 exact zenon_H244.
% 22.32/22.48 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H245].
% 22.32/22.48 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H242].
% 22.32/22.48 congruence.
% 22.32/22.48 apply (zenon_L545_); trivial.
% 22.32/22.48 apply zenon_H245. apply refl_equal.
% 22.32/22.48 apply zenon_H245. apply refl_equal.
% 22.32/22.48 apply zenon_H6a. apply refl_equal.
% 22.32/22.48 apply zenon_H245. apply refl_equal.
% 22.32/22.48 apply zenon_H245. apply refl_equal.
% 22.32/22.48 (* end of lemma zenon_L1991_ *)
% 22.32/22.48 assert (zenon_L1992_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H173 zenon_Ha9 zenon_H13c zenon_H25 zenon_H68 zenon_H77 zenon_H53 zenon_H164 zenon_H129 zenon_H139 zenon_H2a zenon_H177 zenon_H11a zenon_H183 zenon_H1a2 zenon_Ha0 zenon_H13f zenon_H1f1 zenon_H131 zenon_H12e zenon_H104 zenon_H47 zenon_H48 zenon_H117 zenon_H191 zenon_H141 zenon_Hb6 zenon_H4d zenon_Hf5 zenon_Hb2 zenon_H13a zenon_H6c zenon_H125 zenon_H16a zenon_H7b zenon_Hf0 zenon_Hef zenon_H8b zenon_H196.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.48 exact (zenon_H6c zenon_H67).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.48 apply (zenon_L226_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.32/22.48 exact (zenon_H6c zenon_H67).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.32/22.48 apply (zenon_L171_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.32/22.48 exact (zenon_H7b zenon_H65).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.48 apply (zenon_L253_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.48 apply (zenon_L53_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.48 apply (zenon_L193_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.32/22.48 apply (zenon_L253_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.32/22.48 apply (zenon_L116_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.32/22.48 apply (zenon_L116_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.32/22.48 apply (zenon_L731_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.32/22.48 apply (zenon_L111_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.48 exact (zenon_H7b zenon_H65).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.48 apply (zenon_L61_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.48 exact (zenon_H8b zenon_H8a).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.32/22.48 apply (zenon_L1988_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.32/22.48 apply (zenon_L1990_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.32/22.48 apply (zenon_L257_); trivial.
% 22.32/22.48 apply (zenon_L1991_); trivial.
% 22.32/22.48 apply (zenon_L766_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.32/22.48 apply (zenon_L124_); trivial.
% 22.32/22.48 apply (zenon_L262_); trivial.
% 22.32/22.48 apply (zenon_L91_); trivial.
% 22.32/22.48 apply (zenon_L621_); trivial.
% 22.32/22.48 (* end of lemma zenon_L1992_ *)
% 22.32/22.48 assert (zenon_L1993_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H139 zenon_H6c zenon_H68 zenon_Hb6 zenon_Ha9 zenon_H2a zenon_Ha0 zenon_H47 zenon_H13a zenon_H155 zenon_H77.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.48 exact (zenon_H6c zenon_H67).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.48 apply (zenon_L147_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.48 apply (zenon_L253_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.48 apply (zenon_L53_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.48 apply (zenon_L193_); trivial.
% 22.32/22.48 apply (zenon_L115_); trivial.
% 22.32/22.48 apply (zenon_L98_); trivial.
% 22.32/22.48 (* end of lemma zenon_L1993_ *)
% 22.32/22.48 assert (zenon_L1994_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H82 zenon_H13a zenon_Ha0 zenon_H2a zenon_Ha9 zenon_Hb6 zenon_H68 zenon_H48 zenon_H25 zenon_H55 zenon_H53 zenon_H183 zenon_H11a zenon_H77 zenon_H155 zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H181.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.48 apply (zenon_L1993_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.48 apply (zenon_L25_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.48 apply (zenon_L15_); trivial.
% 22.32/22.48 apply (zenon_L1985_); trivial.
% 22.32/22.48 (* end of lemma zenon_L1994_ *)
% 22.32/22.48 assert (zenon_L1995_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H15d zenon_H196 zenon_H8b zenon_Hf0 zenon_H7b zenon_H16a zenon_H125 zenon_Hb2 zenon_Hf5 zenon_H141 zenon_H191 zenon_H117 zenon_H104 zenon_H12e zenon_H131 zenon_H1f1 zenon_H13f zenon_H1a2 zenon_H129 zenon_H164 zenon_H13c zenon_H73 zenon_H4d zenon_H82 zenon_H13a zenon_Ha0 zenon_H2a zenon_Ha9 zenon_Hb6 zenon_H68 zenon_H48 zenon_H25 zenon_H55 zenon_H53 zenon_H183 zenon_H11a zenon_H77 zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H181.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.48 apply (zenon_L1992_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.48 apply (zenon_L65_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.48 apply (zenon_L184_); trivial.
% 22.32/22.48 apply (zenon_L1994_); trivial.
% 22.32/22.48 (* end of lemma zenon_L1995_ *)
% 22.32/22.48 assert (zenon_L1996_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H5a zenon_H183 zenon_H34 zenon_Hef zenon_H11a zenon_H196 zenon_H177 zenon_H2a zenon_H68 zenon_H47 zenon_H139 zenon_H16a zenon_H7b zenon_H53 zenon_H77 zenon_H8b zenon_H129.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.48 exact (zenon_H7b zenon_H65).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.48 apply (zenon_L319_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.48 exact (zenon_H8b zenon_H8a).
% 22.32/22.48 apply (zenon_L1988_); trivial.
% 22.32/22.48 (* end of lemma zenon_L1996_ *)
% 22.32/22.48 assert (zenon_L1997_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (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) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H139 zenon_H6c zenon_Hef zenon_H173 zenon_Hb6 zenon_Ha9 zenon_H2a zenon_Ha0 zenon_He4 zenon_H48 zenon_H156 zenon_H4d zenon_H55 zenon_H54 zenon_H183 zenon_H68 zenon_H34 zenon_H177 zenon_H13a zenon_H155 zenon_H77.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.48 exact (zenon_H6c zenon_H67).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.48 apply (zenon_L226_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.48 apply (zenon_L636_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.48 apply (zenon_L53_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.48 apply (zenon_L193_); trivial.
% 22.32/22.48 apply (zenon_L115_); trivial.
% 22.32/22.48 apply (zenon_L98_); trivial.
% 22.32/22.48 (* end of lemma zenon_L1997_ *)
% 22.32/22.48 assert (zenon_L1998_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H15d zenon_H129 zenon_H8b zenon_H53 zenon_H7b zenon_H16a zenon_H196 zenon_H5a zenon_H73 zenon_H82 zenon_H4e zenon_H13a zenon_H34 zenon_H68 zenon_H55 zenon_H4d zenon_H156 zenon_H48 zenon_He4 zenon_Ha0 zenon_H2a zenon_Ha9 zenon_Hb6 zenon_H183 zenon_H11a zenon_H77 zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H181.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.48 apply (zenon_L1996_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.48 apply (zenon_L65_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.48 apply (zenon_L184_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.48 apply (zenon_L1993_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.48 apply (zenon_L14_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.48 apply (zenon_L1997_); trivial.
% 22.32/22.48 apply (zenon_L1985_); trivial.
% 22.32/22.48 (* end of lemma zenon_L1998_ *)
% 22.32/22.48 assert (zenon_L1999_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H15d zenon_H196 zenon_H8b zenon_Hef zenon_Hf0 zenon_H7b zenon_H16a zenon_H13a zenon_H1e zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H77 zenon_H6c zenon_H139 zenon_H73 zenon_H4d zenon_H38 zenon_H48.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.48 apply (zenon_L13_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.48 exact (zenon_H6c zenon_H67).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.48 apply (zenon_L214_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.48 apply (zenon_L41_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.48 apply (zenon_L55_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.48 apply (zenon_L193_); trivial.
% 22.32/22.48 apply (zenon_L156_); trivial.
% 22.32/22.48 apply (zenon_L621_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.48 apply (zenon_L184_); trivial.
% 22.32/22.48 apply (zenon_L246_); trivial.
% 22.32/22.48 (* end of lemma zenon_L1999_ *)
% 22.32/22.48 assert (zenon_L2000_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H12e zenon_H48 zenon_H93 zenon_H131 zenon_H4d zenon_H1f1 zenon_Ha8 zenon_H13f zenon_Hb6 zenon_Ha0 zenon_H14c zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H183 zenon_H34 zenon_H11a zenon_H68 zenon_H38 zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H77.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.32/22.48 apply (zenon_L456_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.32/22.48 apply (zenon_L1989_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.32/22.48 apply (zenon_L687_); trivial.
% 22.32/22.48 apply (zenon_L1968_); trivial.
% 22.32/22.48 (* end of lemma zenon_L2000_ *)
% 22.32/22.48 assert (zenon_L2001_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H16a zenon_H7b zenon_H5a zenon_H8b zenon_H12e zenon_H102 zenon_H77 zenon_H131 zenon_H4d zenon_H1f1 zenon_Ha8 zenon_H13f zenon_Hb6 zenon_Ha0 zenon_H14c zenon_H66 zenon_Ha9 zenon_H1a2 zenon_Hef zenon_He0.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.48 exact (zenon_H7b zenon_H65).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.48 apply (zenon_L319_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.48 exact (zenon_H8b zenon_H8a).
% 22.32/22.48 apply (zenon_L1990_); trivial.
% 22.32/22.48 (* end of lemma zenon_L2001_ *)
% 22.32/22.48 assert (zenon_L2002_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H164 zenon_H139 zenon_H6c zenon_H173 zenon_H177 zenon_H38 zenon_H68 zenon_H11a zenon_H183 zenon_H93 zenon_H48 zenon_Hef zenon_H1a2 zenon_Ha9 zenon_H66 zenon_H14c zenon_Hb6 zenon_H13f zenon_Ha8 zenon_H1f1 zenon_H4d zenon_H131 zenon_H77 zenon_H12e zenon_H8b zenon_H5a zenon_H7b zenon_H16a zenon_Hbb zenon_Ha0 zenon_H47 zenon_H102.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.32/22.48 apply (zenon_L2000_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.32/22.48 apply (zenon_L2001_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.32/22.48 apply (zenon_L80_); trivial.
% 22.32/22.48 apply (zenon_L1991_); trivial.
% 22.32/22.48 (* end of lemma zenon_L2002_ *)
% 22.32/22.48 assert (zenon_L2003_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H139 zenon_H6c zenon_H3d zenon_H77 zenon_H7e zenon_H7b zenon_H25 zenon_H1d5 zenon_H125 zenon_H38 zenon_H68.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.48 exact (zenon_H6c zenon_H67).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.48 apply (zenon_L214_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.48 apply (zenon_L651_); trivial.
% 22.32/22.48 apply (zenon_L165_); trivial.
% 22.32/22.48 (* end of lemma zenon_L2003_ *)
% 22.32/22.48 assert (zenon_L2004_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (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 (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H15d zenon_H196 zenon_H8b zenon_H16a zenon_Hb2 zenon_H191 zenon_H164 zenon_H173 zenon_H177 zenon_H11a zenon_H183 zenon_Hef zenon_H1a2 zenon_H13f zenon_H1f1 zenon_H131 zenon_H12e zenon_H5a zenon_H141 zenon_H68 zenon_H125 zenon_H1d5 zenon_H25 zenon_H7b zenon_H77 zenon_H6c zenon_H139 zenon_H53 zenon_H55 zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H13a zenon_H82 zenon_H73 zenon_H4d zenon_H38 zenon_H48.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.48 exact (zenon_H6c zenon_H67).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.48 apply (zenon_L226_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.32/22.48 exact (zenon_H6c zenon_H67).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.32/22.48 apply (zenon_L171_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.32/22.48 exact (zenon_H7b zenon_H65).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.32/22.48 apply (zenon_L253_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.32/22.48 apply (zenon_L116_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.32/22.48 apply (zenon_L67_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.32/22.48 apply (zenon_L111_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.48 exact (zenon_H7b zenon_H65).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.48 apply (zenon_L319_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.48 exact (zenon_H8b zenon_H8a).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.32/22.48 apply (zenon_L193_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.32/22.48 apply (zenon_L265_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.32/22.48 exact (zenon_H191 zenon_H110).
% 22.32/22.48 apply (zenon_L2002_); trivial.
% 22.32/22.48 apply (zenon_L1162_); trivial.
% 22.32/22.48 apply (zenon_L91_); trivial.
% 22.32/22.48 apply (zenon_L321_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.32/22.48 apply (zenon_L1149_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.32/22.48 apply (zenon_L25_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.32/22.48 apply (zenon_L15_); trivial.
% 22.32/22.48 apply (zenon_L2003_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.48 apply (zenon_L184_); trivial.
% 22.32/22.48 apply (zenon_L246_); trivial.
% 22.32/22.48 (* end of lemma zenon_L2004_ *)
% 22.32/22.48 assert (zenon_L2005_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H18d zenon_H7f zenon_H1cd zenon_H14c zenon_H48 zenon_H186 zenon_H139 zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_H47 zenon_H13a zenon_H68 zenon_H201 zenon_H77 zenon_H25b zenon_H38 zenon_Hf5 zenon_H20f zenon_H93 zenon_Hb9 zenon_H195.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.32/22.48 apply (zenon_L246_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.32/22.48 apply (zenon_L1285_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.32/22.48 apply (zenon_L218_); trivial.
% 22.32/22.48 apply (zenon_L671_); trivial.
% 22.32/22.48 (* end of lemma zenon_L2005_ *)
% 22.32/22.48 assert (zenon_L2006_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((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 (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H12e zenon_H34 zenon_H77 zenon_H201 zenon_H68 zenon_H13a zenon_H47 zenon_H139 zenon_H186 zenon_H48 zenon_H1cd zenon_H18d zenon_Hb6 zenon_Ha0 zenon_H14c zenon_Hef zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H25b zenon_H38 zenon_Hf5 zenon_H20f zenon_H93 zenon_Hb9 zenon_H195.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.32/22.48 apply (zenon_L456_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.32/22.48 apply (zenon_L2005_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.32/22.48 apply (zenon_L687_); trivial.
% 22.32/22.48 apply (zenon_L671_); trivial.
% 22.32/22.48 (* end of lemma zenon_L2006_ *)
% 22.32/22.48 assert (zenon_L2007_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (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 (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H141 zenon_H13e zenon_H1ef zenon_H92 zenon_H53 zenon_H195 zenon_H20f zenon_Hf5 zenon_H25b zenon_H1a2 zenon_Ha9 zenon_H66 zenon_Hef zenon_Ha0 zenon_Hb6 zenon_H18d zenon_H1cd zenon_H48 zenon_H186 zenon_H139 zenon_H47 zenon_H13a zenon_H68 zenon_H201 zenon_H77 zenon_H34 zenon_H12e zenon_H191 zenon_H6f zenon_Hdb zenon_H131 zenon_H4d zenon_H1f1 zenon_H13f zenon_H183 zenon_H11a zenon_H177 zenon_H173 zenon_H6c zenon_H117 zenon_H8b zenon_Hf0 zenon_H7b zenon_H16a zenon_H196 zenon_H38.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.32/22.48 apply (zenon_L973_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.32/22.48 apply (zenon_L111_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.32/22.48 exact (zenon_H7b zenon_H65).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.32/22.48 apply (zenon_L61_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.32/22.48 exact (zenon_H8b zenon_H8a).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.32/22.48 apply (zenon_L2000_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.32/22.48 apply (zenon_L205_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.32/22.48 exact (zenon_H191 zenon_H110).
% 22.32/22.48 apply (zenon_L2006_); trivial.
% 22.32/22.48 apply (zenon_L1162_); trivial.
% 22.32/22.48 (* end of lemma zenon_L2007_ *)
% 22.32/22.48 assert (zenon_L2008_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (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) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H15d zenon_H196 zenon_H16a zenon_H7b zenon_Hf0 zenon_H8b zenon_H117 zenon_H6c zenon_H173 zenon_H177 zenon_H11a zenon_H183 zenon_H13f zenon_H1f1 zenon_H131 zenon_H6f zenon_H191 zenon_H12e zenon_H201 zenon_H186 zenon_H1cd zenon_H18d zenon_Hef zenon_H1a2 zenon_H25b zenon_Hf5 zenon_H20f zenon_H195 zenon_H92 zenon_H1ef zenon_H13e zenon_H141 zenon_H34 zenon_H53 zenon_H55 zenon_H5a zenon_H4e zenon_H139 zenon_H77 zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H13a zenon_H68 zenon_H82 zenon_H73 zenon_H4d zenon_H38 zenon_H48.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.32/22.48 exact (zenon_H6c zenon_H67).
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.32/22.48 apply (zenon_L226_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.48 apply (zenon_L253_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.48 apply (zenon_L2007_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.48 apply (zenon_L193_); trivial.
% 22.32/22.48 apply (zenon_L156_); trivial.
% 22.32/22.48 apply (zenon_L165_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.32/22.48 apply (zenon_L1714_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.32/22.48 apply (zenon_L184_); trivial.
% 22.32/22.48 apply (zenon_L246_); trivial.
% 22.32/22.48 (* end of lemma zenon_L2008_ *)
% 22.32/22.48 assert (zenon_L2009_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H92 zenon_H13e zenon_H1bf zenon_H1ef zenon_H89 zenon_H68 zenon_H2d zenon_Hf0 zenon_Hef zenon_H8b zenon_H16a.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.32/22.48 apply (zenon_L717_); trivial.
% 22.32/22.48 apply (zenon_L645_); trivial.
% 22.32/22.48 (* end of lemma zenon_L2009_ *)
% 22.32/22.48 assert (zenon_L2010_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e0)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H18d zenon_H139 zenon_H6c zenon_Hef zenon_H173 zenon_H177 zenon_H11a zenon_H183 zenon_H55 zenon_H5a zenon_H4e zenon_H1e zenon_H48 zenon_H82 zenon_H181 zenon_H68 zenon_H115 zenon_H77 zenon_Ha9 zenon_H9e zenon_H1c3 zenon_H53 zenon_H189 zenon_H7e zenon_H18a.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.32/22.48 apply (zenon_L1986_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.32/22.48 apply (zenon_L209_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.32/22.48 apply (zenon_L139_); trivial.
% 22.32/22.48 apply (zenon_L140_); trivial.
% 22.32/22.48 (* end of lemma zenon_L2010_ *)
% 22.32/22.48 assert (zenon_L2011_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H13a zenon_H3d zenon_Ha0 zenon_H111 zenon_H53 zenon_Hb6 zenon_H16a zenon_H77 zenon_H8b zenon_H16b zenon_H117 zenon_H13d zenon_H48 zenon_H2c zenon_H1e zenon_H141 zenon_Ha9 zenon_Hf6.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.32/22.48 apply (zenon_L41_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.32/22.48 apply (zenon_L55_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.32/22.48 apply (zenon_L114_); trivial.
% 22.32/22.48 apply (zenon_L92_); trivial.
% 22.32/22.48 (* end of lemma zenon_L2011_ *)
% 22.32/22.48 assert (zenon_L2012_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.32/22.48 do 0 intro. intros zenon_H183 zenon_H9d zenon_Ha9 zenon_Hef zenon_H11a zenon_H66 zenon_H177 zenon_H181.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.32/22.48 apply (zenon_L91_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.32/22.48 apply (zenon_L119_); trivial.
% 22.32/22.48 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.32/22.48 apply (zenon_L122_); trivial.
% 22.32/22.48 exact (zenon_H181 zenon_H17c).
% 22.32/22.48 (* end of lemma zenon_L2012_ *)
% 22.32/22.48 assert (zenon_L2013_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.42/22.48 do 0 intro. intros zenon_H236 zenon_H1c3 zenon_Hbc zenon_H1d8 zenon_H140 zenon_H109 zenon_H111 zenon_H1c6 zenon_H183 zenon_H11a zenon_H6c zenon_H181 zenon_H19d zenon_H55 zenon_H5a zenon_H4e zenon_H139 zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H13a zenon_H77 zenon_H82 zenon_H173 zenon_H117 zenon_H104 zenon_H26a zenon_H7d zenon_H5d zenon_Hb2 zenon_H12e zenon_H1f1 zenon_H163 zenon_H24e zenon_H1b7 zenon_H1cd zenon_H121 zenon_H1cf zenon_H16b zenon_H15d zenon_H156 zenon_H164 zenon_H177 zenon_H129 zenon_H125 zenon_H18a zenon_H189 zenon_H186 zenon_H18d zenon_H73 zenon_H2c zenon_H1fe zenon_H141 zenon_H16a zenon_H8b zenon_Hef zenon_Hf0 zenon_H68 zenon_H13e zenon_H4d zenon_H131 zenon_H1ef zenon_H92 zenon_H53 zenon_H48 zenon_H13d zenon_H196.
% 22.42/22.48 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.42/22.48 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.48 apply (zenon_L13_); trivial.
% 22.42/22.48 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.48 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.48 apply (zenon_L13_); trivial.
% 22.42/22.48 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.48 apply (zenon_L14_); trivial.
% 22.42/22.48 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.48 apply (zenon_L15_); trivial.
% 22.42/22.48 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.48 exact (zenon_H6c zenon_H67).
% 22.42/22.48 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.48 apply (zenon_L214_); trivial.
% 22.42/22.48 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.48 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.48 apply (zenon_L41_); trivial.
% 22.42/22.48 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.48 apply (zenon_L55_); trivial.
% 22.42/22.48 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.48 apply (zenon_L193_); trivial.
% 22.42/22.48 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.42/22.48 apply (zenon_L5_); trivial.
% 22.42/22.48 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.42/22.48 apply (zenon_L111_); trivial.
% 22.42/22.48 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.42/22.49 exact (zenon_H13d zenon_H14c).
% 22.42/22.49 apply (zenon_L2010_); trivial.
% 22.42/22.49 apply (zenon_L2011_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.49 apply (zenon_L184_); trivial.
% 22.42/22.49 apply (zenon_L1986_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.42/22.49 apply (zenon_L161_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.49 apply (zenon_L226_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.42/22.49 apply (zenon_L171_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.42/22.49 apply (zenon_L253_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.42/22.49 apply (zenon_L116_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.42/22.49 apply (zenon_L43_); trivial.
% 22.42/22.49 apply (zenon_L2012_); trivial.
% 22.42/22.49 apply (zenon_L325_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.42/22.49 apply (zenon_L171_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.42/22.49 apply (zenon_L326_); trivial.
% 22.42/22.49 apply (zenon_L325_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.49 apply (zenon_L65_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.49 apply (zenon_L184_); trivial.
% 22.42/22.49 apply (zenon_L1994_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.42/22.49 apply (zenon_L717_); trivial.
% 22.42/22.49 apply (zenon_L329_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.42/22.49 apply (zenon_L809_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.42/22.49 apply (zenon_L973_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.42/22.49 apply (zenon_L111_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.42/22.49 exact (zenon_H13d zenon_H14c).
% 22.42/22.49 apply (zenon_L1162_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2013_ *)
% 22.42/22.49 assert (zenon_L2014_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H117 zenon_H109 zenon_H9d zenon_Hb6 zenon_H53 zenon_H14c zenon_Ha0 zenon_Ha5 zenon_H195.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.42/22.49 apply (zenon_L73_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.42/22.49 apply (zenon_L113_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.42/22.49 apply (zenon_L278_); trivial.
% 22.42/22.49 apply (zenon_L172_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2014_ *)
% 22.42/22.49 assert (zenon_L2015_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H141 zenon_H68 zenon_H65 zenon_H48 zenon_H195 zenon_Ha5 zenon_Ha0 zenon_H53 zenon_Hb6 zenon_H9d zenon_H109 zenon_H117 zenon_H196 zenon_H38.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.42/22.49 apply (zenon_L27_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.42/22.49 apply (zenon_L111_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.42/22.49 apply (zenon_L2014_); trivial.
% 22.42/22.49 apply (zenon_L1162_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2015_ *)
% 22.42/22.49 assert (zenon_L2016_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H13c zenon_H179 zenon_H173 zenon_Hdb zenon_H4d zenon_H141 zenon_H68 zenon_H65 zenon_H48 zenon_H195 zenon_Ha0 zenon_H53 zenon_Hb6 zenon_H9d zenon_H109 zenon_H117 zenon_H196 zenon_H38.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.42/22.49 apply (zenon_L123_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.42/22.49 apply (zenon_L120_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.42/22.49 apply (zenon_L124_); trivial.
% 22.42/22.49 apply (zenon_L2015_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2016_ *)
% 22.42/22.49 assert (zenon_L2017_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H13a zenon_Hb6 zenon_H47 zenon_Ha9 zenon_H6e zenon_H111 zenon_H110 zenon_H38 zenon_Ha0.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.49 apply (zenon_L253_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.49 apply (zenon_L110_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.49 apply (zenon_L75_); trivial.
% 22.42/22.49 apply (zenon_L156_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2017_ *)
% 22.42/22.49 assert (zenon_L2018_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H139 zenon_H77 zenon_Ha0 zenon_H110 zenon_H111 zenon_Ha9 zenon_H47 zenon_Hb6 zenon_H13a zenon_H160 zenon_H177 zenon_H38 zenon_H68.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.49 apply (zenon_L251_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.49 apply (zenon_L2017_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.49 apply (zenon_L122_); trivial.
% 22.42/22.49 apply (zenon_L165_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2018_ *)
% 22.42/22.49 assert (zenon_L2019_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H13f zenon_H196 zenon_Ha5 zenon_H195 zenon_H48 zenon_H65 zenon_H141 zenon_H4d zenon_H131 zenon_H117 zenon_H109 zenon_Hdd zenon_H181 zenon_H139 zenon_H77 zenon_Ha0 zenon_H111 zenon_Ha9 zenon_H47 zenon_H13a zenon_H177 zenon_H38 zenon_H68 zenon_H7f zenon_H9d zenon_H183 zenon_Hb6.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.42/22.49 apply (zenon_L30_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.42/22.49 apply (zenon_L2015_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.42/22.49 apply (zenon_L128_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.42/22.49 apply (zenon_L73_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.42/22.49 apply (zenon_L152_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.42/22.49 apply (zenon_L91_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.42/22.49 apply (zenon_L169_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.42/22.49 apply (zenon_L2018_); trivial.
% 22.42/22.49 exact (zenon_H181 zenon_H17c).
% 22.42/22.49 apply (zenon_L182_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2019_ *)
% 22.42/22.49 assert (zenon_L2020_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H236 zenon_H1f zenon_H205 zenon_Ha9 zenon_H68 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H9e zenon_Ha0.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.42/22.49 exact (zenon_H1f zenon_H1e).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.42/22.49 exact (zenon_H205 zenon_H2a).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.42/22.49 apply (zenon_L983_); trivial.
% 22.42/22.49 apply (zenon_L156_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2020_ *)
% 22.42/22.49 assert (zenon_L2021_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H82 zenon_H4c zenon_H4e zenon_H4d zenon_H65 zenon_H77 zenon_H34 zenon_H48.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.49 exact (zenon_H4c zenon_H47).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.49 apply (zenon_L14_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.49 apply (zenon_L30_); trivial.
% 22.42/22.49 apply (zenon_L456_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2021_ *)
% 22.42/22.49 assert (zenon_L2022_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((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 (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((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)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H204 zenon_H82 zenon_H4e zenon_H23d zenon_H236 zenon_H66 zenon_H68 zenon_H1f zenon_H15d zenon_Hb2 zenon_H240 zenon_H33 zenon_H48 zenon_H2c zenon_H77 zenon_H13a zenon_Hb6 zenon_H139 zenon_H23b zenon_H156 zenon_H4d zenon_H13c zenon_H117 zenon_H195 zenon_H109 zenon_H196 zenon_H141 zenon_H173 zenon_H179 zenon_H13f zenon_H183 zenon_H181 zenon_H111 zenon_H177 zenon_H131 zenon_H6f zenon_H1f1 zenon_He4 zenon_H65 zenon_Ha9 zenon_Ha0 zenon_H6c zenon_Hef zenon_H63 zenon_H12e zenon_H11a zenon_H1a2 zenon_Hbc zenon_H140 zenon_H1fe.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.42/22.49 apply (zenon_L1866_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.42/22.49 exact (zenon_H1f zenon_H1e).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.42/22.49 exact (zenon_H205 zenon_H2a).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.42/22.49 apply (zenon_L264_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.42/22.49 exact (zenon_H1f zenon_H1e).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.49 exact (zenon_Ha4 zenon_H9f).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.42/22.49 exact (zenon_Ha4 zenon_H9f).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.42/22.49 apply (zenon_L116_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.42/22.49 apply (zenon_L43_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.42/22.49 apply (zenon_L1882_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.42/22.49 apply (zenon_L486_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.42/22.49 apply (zenon_L2016_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.42/22.49 apply (zenon_L123_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.42/22.49 apply (zenon_L120_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.42/22.49 apply (zenon_L124_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.42/22.49 apply (zenon_L27_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.42/22.49 apply (zenon_L2019_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.42/22.49 apply (zenon_L1972_); trivial.
% 22.42/22.49 apply (zenon_L1162_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.49 apply (zenon_L193_); trivial.
% 22.42/22.49 apply (zenon_L2020_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.49 apply (zenon_L489_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.49 apply (zenon_L94_); trivial.
% 22.42/22.49 apply (zenon_L246_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.42/22.49 apply (zenon_L27_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.49 exact (zenon_Ha4 zenon_H9f).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.42/22.49 apply (zenon_L814_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.42/22.49 apply (zenon_L117_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.42/22.49 apply (zenon_L1973_); trivial.
% 22.42/22.49 apply (zenon_L328_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.49 apply (zenon_L193_); trivial.
% 22.42/22.49 apply (zenon_L156_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.42/22.49 exact (zenon_H1f zenon_H1e).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.42/22.49 exact (zenon_H1f zenon_H1e).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.49 exact (zenon_H4c zenon_H47).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.49 apply (zenon_L65_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.49 apply (zenon_L94_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.49 exact (zenon_H4c zenon_H47).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.49 apply (zenon_L25_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.49 apply (zenon_L30_); trivial.
% 22.42/22.49 apply (zenon_L1985_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.42/22.49 apply (zenon_L27_); trivial.
% 22.42/22.49 apply (zenon_L2021_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.42/22.49 apply (zenon_L264_); trivial.
% 22.42/22.49 exact (zenon_H238 zenon_H38).
% 22.42/22.49 apply (zenon_L1861_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2022_ *)
% 22.42/22.49 assert (zenon_L2023_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H15d zenon_H196 zenon_H93 zenon_H68 zenon_H48 zenon_H2a zenon_H73 zenon_H4d zenon_H139 zenon_H6c zenon_Hef zenon_H173 zenon_H160 zenon_H177 zenon_H77.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.49 apply (zenon_L352_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.49 apply (zenon_L65_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.49 apply (zenon_L184_); trivial.
% 22.42/22.49 apply (zenon_L1981_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2023_ *)
% 22.42/22.49 assert (zenon_L2024_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (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 (e1) (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 (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H236 zenon_Hca zenon_H2c zenon_H1a2 zenon_H4e zenon_H186 zenon_H189 zenon_H1a8 zenon_Hc2 zenon_H15d zenon_H24e zenon_H1cd zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H1b7 zenon_H1b4 zenon_H1bb zenon_H77 zenon_H196 zenon_H93 zenon_H48 zenon_H13a zenon_Hb2 zenon_H156 zenon_H55 zenon_He4 zenon_Ha0 zenon_H117 zenon_H12e zenon_H25b zenon_H195 zenon_H20f zenon_Hf5 zenon_H25e zenon_H192 zenon_H18d zenon_H26d zenon_H19a zenon_H11a zenon_H164 zenon_H33 zenon_H104 zenon_H121 zenon_Hf0 zenon_Hb6 zenon_H4d zenon_H1c6 zenon_H13f zenon_H131 zenon_Hfa zenon_H163 zenon_H129 zenon_H179 zenon_H141 zenon_H13c zenon_H82 zenon_H94 zenon_H125 zenon_H73 zenon_H1f1 zenon_Ha9 zenon_H1cb zenon_H1fe zenon_Hcb zenon_H1c3 zenon_H109 zenon_Hc8 zenon_H209 zenon_H1c7 zenon_Hc4 zenon_H139 zenon_H6c zenon_Hef zenon_H173 zenon_H160 zenon_H177 zenon_H68.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.42/22.49 apply (zenon_L1982_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.42/22.49 apply (zenon_L2023_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.42/22.49 apply (zenon_L898_); trivial.
% 22.42/22.49 apply (zenon_L1967_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2024_ *)
% 22.42/22.49 assert (zenon_L2025_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (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 (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H236 zenon_H6c zenon_H1fe zenon_H1a8 zenon_H189 zenon_H13a zenon_Ha9 zenon_Hef zenon_H173 zenon_H179 zenon_H19a zenon_H12e zenon_H164 zenon_H73 zenon_H195 zenon_Hfa zenon_H4e zenon_H4d zenon_H139 zenon_H196 zenon_H177 zenon_H156 zenon_H55 zenon_H18a zenon_H7d zenon_Hbc zenon_H160 zenon_H209 zenon_H212 zenon_He4 zenon_H68 zenon_H1a2 zenon_H181 zenon_H1b7 zenon_H1cd zenon_H24e zenon_H15d zenon_H2c zenon_H141 zenon_Hb6 zenon_Ha0 zenon_H82 zenon_Hc2 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H93 zenon_H77 zenon_H120.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.42/22.49 apply (zenon_L1982_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.42/22.49 apply (zenon_L2023_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.42/22.49 apply (zenon_L979_); trivial.
% 22.42/22.49 apply (zenon_L555_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2025_ *)
% 22.42/22.49 assert (zenon_L2026_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H15d zenon_Hbc zenon_H94 zenon_H125 zenon_H48 zenon_H2a zenon_H73 zenon_H139 zenon_H6c zenon_H195 zenon_H93 zenon_H4d zenon_H173 zenon_H25 zenon_H68 zenon_Hfa zenon_H160 zenon_H177 zenon_H77.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.49 apply (zenon_L541_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.49 apply (zenon_L65_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.49 apply (zenon_L184_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.49 apply (zenon_L976_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.49 apply (zenon_L122_); trivial.
% 22.42/22.49 apply (zenon_L98_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2026_ *)
% 22.42/22.49 assert (zenon_L2027_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (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) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (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)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H236 zenon_Hc4 zenon_H1fe zenon_H125 zenon_H94 zenon_H13c zenon_H1c3 zenon_H19a zenon_H18d zenon_H129 zenon_H1c6 zenon_H117 zenon_H12e zenon_H25b zenon_H195 zenon_H20f zenon_Hf5 zenon_H1b4 zenon_H25e zenon_H192 zenon_Hfa zenon_H163 zenon_H104 zenon_H121 zenon_H131 zenon_H13f zenon_Hf0 zenon_H141 zenon_Hb2 zenon_H73 zenon_H179 zenon_H1a2 zenon_H48 zenon_H93 zenon_H196 zenon_H77 zenon_H82 zenon_H18a zenon_He4 zenon_H1bb zenon_H181 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H24e zenon_H162 zenon_H212 zenon_H33 zenon_Hbc zenon_H164 zenon_H55 zenon_H156 zenon_H4d zenon_H4e zenon_H13a zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H15d zenon_Hc2 zenon_H139 zenon_H6c zenon_Hef zenon_H173 zenon_H160 zenon_H177 zenon_H68.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.42/22.49 apply (zenon_L1982_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.42/22.49 apply (zenon_L1982_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.42/22.49 apply (zenon_L2026_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.49 apply (zenon_L352_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.49 apply (zenon_L892_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.49 apply (zenon_L184_); trivial.
% 22.42/22.49 apply (zenon_L1981_); trivial.
% 22.42/22.49 apply (zenon_L870_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.42/22.49 apply (zenon_L981_); trivial.
% 22.42/22.49 apply (zenon_L1967_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2027_ *)
% 22.42/22.49 assert (zenon_L2028_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H204 zenon_H33 zenon_H9d zenon_H23d zenon_H1f zenon_H139 zenon_H9e zenon_Ha9 zenon_H68 zenon_Hef zenon_H173 zenon_H6c zenon_Ha0 zenon_H236.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.42/22.49 apply (zenon_L2020_); trivial.
% 22.42/22.49 apply (zenon_L611_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2028_ *)
% 22.42/22.49 assert (zenon_L2029_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H13a zenon_Ha0 zenon_H1e zenon_Hb6 zenon_H3d zenon_Ha9 zenon_H66 zenon_Hb9 zenon_H196.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.49 apply (zenon_L41_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.49 apply (zenon_L55_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.49 apply (zenon_L193_); trivial.
% 22.42/22.49 apply (zenon_L154_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2029_ *)
% 22.42/22.49 assert (zenon_L2030_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H139 zenon_H6c zenon_H77 zenon_Hb9 zenon_Ha9 zenon_H3d zenon_Hb6 zenon_H1e zenon_Ha0 zenon_H13a zenon_H16a zenon_H7b zenon_Hf0 zenon_Hef zenon_H8b zenon_H196.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.49 apply (zenon_L214_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.49 apply (zenon_L2029_); trivial.
% 22.42/22.49 apply (zenon_L621_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2030_ *)
% 22.42/22.49 assert (zenon_L2031_ : (((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)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H140 zenon_H68 zenon_H66 zenon_H4d zenon_H20f zenon_H136 zenon_H104 zenon_H48 zenon_H7f zenon_H33 zenon_H1e zenon_H164 zenon_Ha0 zenon_Hbb.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.42/22.49 apply (zenon_L264_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.42/22.49 apply (zenon_L117_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.42/22.49 apply (zenon_L7_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.42/22.49 apply (zenon_L57_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.42/22.49 apply (zenon_L257_); trivial.
% 22.42/22.49 apply (zenon_L421_); trivial.
% 22.42/22.49 apply (zenon_L80_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2031_ *)
% 22.42/22.49 assert (zenon_L2032_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((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)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 22.42/22.49 do 0 intro. intros zenon_He4 zenon_Hb6 zenon_Hdb zenon_H156 zenon_H55 zenon_H54 zenon_H140 zenon_H68 zenon_H66 zenon_H4d zenon_H20f zenon_H136 zenon_H104 zenon_H48 zenon_H33 zenon_H1e zenon_H164 zenon_Ha0 zenon_Hbb.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.42/22.49 apply (zenon_L55_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.42/22.49 apply (zenon_L486_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.42/22.49 apply (zenon_L15_); trivial.
% 22.42/22.49 apply (zenon_L2031_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2032_ *)
% 22.42/22.49 assert (zenon_L2033_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((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)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H22d zenon_H2c zenon_Hbb zenon_Ha0 zenon_H164 zenon_H1e zenon_H33 zenon_H48 zenon_H104 zenon_H136 zenon_H20f zenon_H4d zenon_H66 zenon_H68 zenon_H140 zenon_H55 zenon_H156 zenon_Hdb zenon_Hb6 zenon_He4 zenon_H7b zenon_Hb9 zenon_H94.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H2d | zenon_intro zenon_H22e ].
% 22.42/22.49 apply (zenon_L5_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H54 | zenon_intro zenon_H22f ].
% 22.42/22.49 apply (zenon_L2032_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha8 ].
% 22.42/22.49 exact (zenon_H7b zenon_H65).
% 22.42/22.49 apply (zenon_L47_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2033_ *)
% 22.42/22.49 assert (zenon_L2034_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H25b zenon_H20f zenon_H167 zenon_H186 zenon_H4d zenon_H195 zenon_H93 zenon_Ha6 zenon_H5d.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H136 | zenon_intro zenon_H25c ].
% 22.42/22.49 apply (zenon_L421_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H5c | zenon_intro zenon_H25d ].
% 22.42/22.49 apply (zenon_L138_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Ha5 ].
% 22.42/22.49 apply (zenon_L228_); trivial.
% 22.42/22.49 apply (zenon_L42_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2034_ *)
% 22.42/22.49 assert (zenon_L2035_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H19a zenon_H155 zenon_H94 zenon_Hb9 zenon_H7b zenon_He4 zenon_Hb6 zenon_Hdb zenon_H156 zenon_H55 zenon_H140 zenon_H66 zenon_H104 zenon_H48 zenon_H33 zenon_H1e zenon_H164 zenon_Ha0 zenon_Hbb zenon_H2c zenon_H22d zenon_H68 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H195 zenon_H93 zenon_Ha6 zenon_H5d.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.42/22.49 apply (zenon_L246_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.42/22.49 apply (zenon_L2033_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.42/22.49 apply (zenon_L158_); trivial.
% 22.42/22.49 apply (zenon_L2034_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2035_ *)
% 22.42/22.49 assert (zenon_L2036_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H16a zenon_H1ba zenon_H8b zenon_H19a zenon_H155 zenon_H94 zenon_Hb9 zenon_H7b zenon_He4 zenon_Hb6 zenon_Hdb zenon_H156 zenon_H55 zenon_H140 zenon_H66 zenon_H104 zenon_H48 zenon_H33 zenon_H1e zenon_H164 zenon_Ha0 zenon_Hbb zenon_H2c zenon_H22d zenon_H68 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H195 zenon_Ha6 zenon_H5d.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.42/22.49 exact (zenon_H7b zenon_H65).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.42/22.49 exact (zenon_H1ba zenon_H6d).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.42/22.49 exact (zenon_H8b zenon_H8a).
% 22.42/22.49 apply (zenon_L2035_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2036_ *)
% 22.42/22.49 assert (zenon_L2037_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H139 zenon_H6c zenon_H2a zenon_H7e zenon_H7b zenon_H25 zenon_H68 zenon_H1d5 zenon_H125 zenon_H155 zenon_H77.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.49 apply (zenon_L147_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.49 apply (zenon_L651_); trivial.
% 22.42/22.49 apply (zenon_L98_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2037_ *)
% 22.42/22.49 assert (zenon_L2038_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H15d zenon_H73 zenon_H82 zenon_H196 zenon_Hb9 zenon_Hbb zenon_H4e zenon_H77 zenon_H13a zenon_H177 zenon_H68 zenon_H183 zenon_H55 zenon_H4d zenon_H156 zenon_He4 zenon_Ha0 zenon_H2a zenon_Ha9 zenon_Hb6 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H34 zenon_H48.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.49 apply (zenon_L376_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.49 apply (zenon_L65_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.49 apply (zenon_L184_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.49 apply (zenon_L376_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.49 apply (zenon_L14_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.49 apply (zenon_L1997_); trivial.
% 22.42/22.49 apply (zenon_L456_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2038_ *)
% 22.42/22.49 assert (zenon_L2039_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((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 (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H12e zenon_H48 zenon_H34 zenon_H3d zenon_H192 zenon_Hb6 zenon_Ha0 zenon_H14c zenon_Hef zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H25b zenon_H38 zenon_Hf5 zenon_H20f zenon_H93 zenon_Hb9 zenon_H195.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.42/22.49 apply (zenon_L456_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.42/22.49 apply (zenon_L146_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.42/22.49 apply (zenon_L687_); trivial.
% 22.42/22.49 apply (zenon_L671_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2039_ *)
% 22.42/22.49 assert (zenon_L2040_ : (((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)) = (e0)) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((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 (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H12e zenon_H77 zenon_H102 zenon_He0 zenon_H48 zenon_Hb6 zenon_Ha0 zenon_H14c zenon_Hef zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H25b zenon_H38 zenon_Hf5 zenon_H20f zenon_H93 zenon_Hb9 zenon_H195.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.42/22.49 apply (zenon_L71_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.42/22.49 apply (zenon_L57_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.42/22.49 apply (zenon_L687_); trivial.
% 22.42/22.49 apply (zenon_L671_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2040_ *)
% 22.42/22.49 assert (zenon_L2041_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((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 (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H16a zenon_H7b zenon_Hf0 zenon_H8b zenon_H164 zenon_H192 zenon_H3d zenon_Hf5 zenon_H38 zenon_H1a2 zenon_Ha9 zenon_H66 zenon_Hef zenon_Ha0 zenon_Hb6 zenon_H48 zenon_H102 zenon_H77 zenon_H12e zenon_H14c zenon_H104 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H10c zenon_Hb9 zenon_H195.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.42/22.49 exact (zenon_H7b zenon_H65).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.42/22.49 apply (zenon_L61_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.42/22.49 exact (zenon_H8b zenon_H8a).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.42/22.49 apply (zenon_L2039_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.42/22.49 apply (zenon_L2040_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.42/22.49 apply (zenon_L257_); trivial.
% 22.42/22.49 apply (zenon_L684_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2041_ *)
% 22.42/22.49 assert (zenon_L2042_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H16a zenon_H7b zenon_Hf0 zenon_Hef zenon_H8b zenon_H18d zenon_H7f zenon_H1cd zenon_H14c zenon_H48 zenon_H186 zenon_H139 zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_H47 zenon_H13a zenon_H68 zenon_H201 zenon_H77 zenon_H25b zenon_H38 zenon_Hf5 zenon_H20f zenon_Hb9 zenon_H195.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.42/22.49 exact (zenon_H7b zenon_H65).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.42/22.49 apply (zenon_L61_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.42/22.49 exact (zenon_H8b zenon_H8a).
% 22.42/22.49 apply (zenon_L2005_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2042_ *)
% 22.42/22.49 assert (zenon_L2043_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H141 zenon_H131 zenon_H1ef zenon_H13e zenon_H34 zenon_Hbc zenon_H4d zenon_He4 zenon_Hdb zenon_H156 zenon_H1bb zenon_H18a zenon_H1b7 zenon_H1cf zenon_H271 zenon_H1d8 zenon_H1b4 zenon_H111 zenon_Hcc zenon_H270 zenon_H1a2 zenon_H191 zenon_H1cb zenon_H140 zenon_H195 zenon_H20f zenon_Hf5 zenon_H38 zenon_H25b zenon_H77 zenon_H201 zenon_H68 zenon_H13a zenon_H47 zenon_Ha9 zenon_Hb6 zenon_H139 zenon_H186 zenon_H48 zenon_H1cd zenon_H7f zenon_H18d zenon_H8b zenon_Hef zenon_Hf0 zenon_H7b zenon_H16a zenon_Ha0 zenon_Hb9.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.42/22.49 apply (zenon_L755_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.42/22.49 apply (zenon_L1107_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.42/22.49 apply (zenon_L117_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.42/22.49 apply (zenon_L2042_); trivial.
% 22.42/22.49 apply (zenon_L328_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.42/22.49 apply (zenon_L2042_); trivial.
% 22.42/22.49 apply (zenon_L77_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2043_ *)
% 22.42/22.49 assert (zenon_L2044_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((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 (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H16a zenon_H7b zenon_Hf0 zenon_H8b zenon_H12e zenon_H48 zenon_H34 zenon_H3d zenon_H192 zenon_Hb6 zenon_Ha0 zenon_H14c zenon_Hef zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H25b zenon_H38 zenon_Hf5 zenon_H20f zenon_Hb9 zenon_H195.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.42/22.49 exact (zenon_H7b zenon_H65).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.42/22.49 apply (zenon_L61_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.42/22.49 exact (zenon_H8b zenon_H8a).
% 22.42/22.49 apply (zenon_L2039_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2044_ *)
% 22.42/22.49 assert (zenon_L2045_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e1)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H140 zenon_H196 zenon_H9f zenon_H1b4 zenon_H25e zenon_H77 zenon_H156 zenon_H68 zenon_H1cf zenon_Hdd zenon_H4d zenon_H195 zenon_Hb9 zenon_H20f zenon_Hf5 zenon_H38 zenon_H25b zenon_H1a2 zenon_Ha9 zenon_H66 zenon_Hef zenon_Hb6 zenon_H192 zenon_H3d zenon_H34 zenon_H48 zenon_H12e zenon_H8b zenon_Hf0 zenon_H7b zenon_H16a zenon_Ha0 zenon_Hbb.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.42/22.49 apply (zenon_L991_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.42/22.49 apply (zenon_L117_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.42/22.49 apply (zenon_L2044_); trivial.
% 22.42/22.49 apply (zenon_L80_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2045_ *)
% 22.42/22.49 assert (zenon_L2046_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (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 (e1) (e1)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (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) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H82 zenon_H4e zenon_H68 zenon_H38 zenon_H13a zenon_H196 zenon_H16a zenon_H7b zenon_Hf0 zenon_H8b zenon_H12e zenon_H192 zenon_Hef zenon_H1a2 zenon_H25b zenon_Hf5 zenon_H20f zenon_Hb9 zenon_H195 zenon_H140 zenon_H1b4 zenon_H25e zenon_H77 zenon_H156 zenon_H1cf zenon_H4d zenon_Hbb zenon_H141 zenon_Hb6 zenon_H3d zenon_Ha9 zenon_Ha0 zenon_H173 zenon_H6c zenon_H139 zenon_H34 zenon_H48.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.49 apply (zenon_L1149_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.49 apply (zenon_L14_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.49 apply (zenon_L226_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.42/22.49 apply (zenon_L217_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.42/22.49 apply (zenon_L2045_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.42/22.49 apply (zenon_L2044_); trivial.
% 22.42/22.49 apply (zenon_L1162_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.49 apply (zenon_L55_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.49 apply (zenon_L193_); trivial.
% 22.42/22.49 apply (zenon_L156_); trivial.
% 22.42/22.49 apply (zenon_L165_); trivial.
% 22.42/22.49 apply (zenon_L456_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2046_ *)
% 22.42/22.49 assert (zenon_L2047_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> False).
% 22.42/22.49 do 0 intro. intros zenon_He4 zenon_Hb6 zenon_Hdb zenon_H156 zenon_H4d zenon_H94 zenon_Hb9 zenon_H7b zenon_H55 zenon_H92 zenon_H13e zenon_H1bf zenon_H1ef zenon_H89 zenon_H22d zenon_H8b zenon_H77 zenon_H16a zenon_H48 zenon_He0.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.42/22.49 apply (zenon_L55_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.42/22.49 apply (zenon_L486_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.42/22.49 apply (zenon_L998_); trivial.
% 22.42/22.49 apply (zenon_L57_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2047_ *)
% 22.42/22.49 assert (zenon_L2048_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H25b zenon_H20f zenon_H167 zenon_Hf5 zenon_H155 zenon_H93 zenon_H117 zenon_Hb6 zenon_H54 zenon_Hdb zenon_H6f zenon_H14c zenon_Ha0 zenon_H195.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H136 | zenon_intro zenon_H25c ].
% 22.42/22.49 apply (zenon_L421_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H5c | zenon_intro zenon_H25d ].
% 22.42/22.49 apply (zenon_L192_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Ha5 ].
% 22.42/22.49 apply (zenon_L228_); trivial.
% 22.42/22.49 apply (zenon_L1466_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2048_ *)
% 22.42/22.49 assert (zenon_L2049_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_Hf0 zenon_Hef zenon_H164 zenon_H1e zenon_H33 zenon_H48 zenon_H16a zenon_H77 zenon_H8b zenon_H22d zenon_H89 zenon_H1ef zenon_H1bf zenon_H13e zenon_H92 zenon_H55 zenon_H7b zenon_Hb9 zenon_H94 zenon_H4d zenon_H156 zenon_He4 zenon_Hbb zenon_H25b zenon_H20f zenon_Hf5 zenon_H155 zenon_H117 zenon_Hb6 zenon_H54 zenon_Hdb zenon_H6f zenon_H14c zenon_Ha0 zenon_H195.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.42/22.49 exact (zenon_H7b zenon_H65).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.42/22.49 apply (zenon_L61_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.42/22.49 exact (zenon_H8b zenon_H8a).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.42/22.49 apply (zenon_L7_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.42/22.49 apply (zenon_L2047_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.42/22.49 apply (zenon_L80_); trivial.
% 22.42/22.49 apply (zenon_L2048_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2049_ *)
% 22.42/22.49 assert (zenon_L2050_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H13a zenon_Ha0 zenon_H1e zenon_H7e zenon_H7d zenon_H16a zenon_H77 zenon_H8b zenon_H22d zenon_H89 zenon_H1ef zenon_H1bf zenon_H13e zenon_H92 zenon_H55 zenon_H7b zenon_H94 zenon_H4d zenon_H156 zenon_Hb6 zenon_He4 zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.49 apply (zenon_L41_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.49 apply (zenon_L1049_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.49 apply (zenon_L178_); trivial.
% 22.42/22.49 apply (zenon_L154_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2050_ *)
% 22.42/22.49 assert (zenon_L2051_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((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)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H173 zenon_H212 zenon_H179 zenon_H7d zenon_Hbc zenon_H141 zenon_H104 zenon_H1bb zenon_He4 zenon_H19a zenon_H13a zenon_Hc0 zenon_H129 zenon_H1cb zenon_H191 zenon_H270 zenon_Hcc zenon_H1cd zenon_H111 zenon_H139 zenon_H1d8 zenon_H271 zenon_H1b7 zenon_H18a zenon_H201 zenon_H1d5 zenon_H94 zenon_H55 zenon_H92 zenon_H13e zenon_H1bf zenon_H1ef zenon_H89 zenon_H22d zenon_H13c zenon_H177 zenon_H73 zenon_H125 zenon_H15d zenon_H25 zenon_H4e zenon_H195 zenon_Hb9 zenon_H10c zenon_H4d zenon_H186 zenon_H20f zenon_H25b zenon_H12e zenon_H77 zenon_H102 zenon_H48 zenon_Hb6 zenon_Hef zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H38 zenon_Hf5 zenon_H140 zenon_H196 zenon_H9f zenon_H1b4 zenon_H25e zenon_H156 zenon_H68 zenon_H1cf zenon_Hdd zenon_H192 zenon_H3d zenon_H8b zenon_Hf0 zenon_H7b zenon_H16a zenon_H164 zenon_Ha0 zenon_Hbb.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.42/22.49 apply (zenon_L1002_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.42/22.49 apply (zenon_L274_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.42/22.49 exact (zenon_H7b zenon_H65).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.42/22.49 apply (zenon_L61_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.42/22.49 exact (zenon_H8b zenon_H8a).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.42/22.49 apply (zenon_L2045_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.42/22.49 apply (zenon_L2040_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.42/22.49 apply (zenon_L80_); trivial.
% 22.42/22.49 apply (zenon_L684_); trivial.
% 22.42/22.49 apply (zenon_L80_); trivial.
% 22.42/22.49 (* end of lemma zenon_L2051_ *)
% 22.42/22.49 assert (zenon_L2052_ : ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e2)) = (e3)) -> (((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)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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 (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (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)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> False).
% 22.42/22.49 do 0 intro. intros zenon_H8f zenon_H15d zenon_H4e zenon_Hb2 zenon_Hbc zenon_H19a zenon_H186 zenon_H195 zenon_H5d zenon_H25b zenon_H2c zenon_He4 zenon_H68 zenon_H164 zenon_H20f zenon_H104 zenon_H33 zenon_Hbb zenon_H140 zenon_H55 zenon_H156 zenon_H94 zenon_H22d zenon_H177 zenon_H173 zenon_H82 zenon_H4d zenon_H73 zenon_H6c zenon_H77 zenon_H13a zenon_Hb9 zenon_H196 zenon_Ha9 zenon_Hb6 zenon_Ha0 zenon_H139 zenon_H48 zenon_H1fe zenon_H1ef zenon_H131 zenon_H13e zenon_H125 zenon_H1d5 zenon_H163 zenon_H183 zenon_H13c zenon_H19d zenon_H190 zenon_H6f zenon_H266 zenon_H13f zenon_H1c6 zenon_H129 zenon_H7d zenon_Hc0 zenon_H1bb zenon_H12e zenon_Hf5 zenon_H1b4 zenon_H25e zenon_H192 zenon_H1cf zenon_H212 zenon_H179 zenon_H18a zenon_H1b7 zenon_H270 zenon_Hcc zenon_H1cd zenon_H111 zenon_H1d8 zenon_H271 zenon_H1cb zenon_H1a2 zenon_H18d zenon_H201 zenon_H141 zenon_H92 zenon_H26d zenon_H236 zenon_Hf0 zenon_Hef zenon_H8b zenon_H16a zenon_H117 zenon_H89 zenon_H91.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.42/22.49 apply (zenon_L779_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.49 apply (zenon_L13_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.49 apply (zenon_L2030_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.49 apply (zenon_L184_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.49 apply (zenon_L13_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.49 apply (zenon_L14_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.49 apply (zenon_L226_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.49 apply (zenon_L41_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.42/22.49 apply (zenon_L41_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.42/22.49 apply (zenon_L2036_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.42/22.49 apply (zenon_L151_); trivial.
% 22.42/22.49 apply (zenon_L48_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.49 apply (zenon_L178_); trivial.
% 22.42/22.49 apply (zenon_L154_); trivial.
% 22.42/22.49 apply (zenon_L98_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.49 apply (zenon_L226_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.49 apply (zenon_L41_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.42/22.49 apply (zenon_L41_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.42/22.49 apply (zenon_L2036_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.42/22.49 apply (zenon_L47_); trivial.
% 22.42/22.49 apply (zenon_L134_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.49 apply (zenon_L178_); trivial.
% 22.42/22.49 apply (zenon_L154_); trivial.
% 22.42/22.49 apply (zenon_L621_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.42/22.49 apply (zenon_L161_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.49 apply (zenon_L376_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.49 apply (zenon_L65_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.49 apply (zenon_L184_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.49 apply (zenon_L934_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.49 apply (zenon_L25_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.49 apply (zenon_L147_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.49 apply (zenon_L686_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.49 apply (zenon_L53_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.49 apply (zenon_L193_); trivial.
% 22.42/22.49 apply (zenon_L115_); trivial.
% 22.42/22.49 apply (zenon_L98_); trivial.
% 22.42/22.49 apply (zenon_L2037_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.42/22.49 apply (zenon_L755_); trivial.
% 22.42/22.49 apply (zenon_L2038_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.42/22.49 apply (zenon_L990_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.42/22.49 apply (zenon_L1999_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.49 apply (zenon_L934_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.49 apply (zenon_L214_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.42/22.49 apply (zenon_L171_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.42/22.49 exact (zenon_H7b zenon_H65).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.42/22.49 apply (zenon_L116_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.42/22.49 apply (zenon_L756_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.42/22.49 apply (zenon_L274_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.42/22.49 apply (zenon_L2041_); trivial.
% 22.42/22.49 apply (zenon_L80_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.42/22.49 apply (zenon_L124_); trivial.
% 22.42/22.49 apply (zenon_L172_); trivial.
% 22.42/22.49 apply (zenon_L621_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.49 apply (zenon_L184_); trivial.
% 22.42/22.49 apply (zenon_L246_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.42/22.49 apply (zenon_L1008_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.49 apply (zenon_L1362_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.49 apply (zenon_L253_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.42/22.49 apply (zenon_L55_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.42/22.49 apply (zenon_L486_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.42/22.49 apply (zenon_L730_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.42/22.49 apply (zenon_L111_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.42/22.49 exact (zenon_H7b zenon_H65).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.42/22.49 exact (zenon_H1ba zenon_H6d).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.42/22.49 exact (zenon_H8b zenon_H8a).
% 22.42/22.49 apply (zenon_L2006_); trivial.
% 22.42/22.49 apply (zenon_L766_); trivial.
% 22.42/22.49 apply (zenon_L2043_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.49 apply (zenon_L193_); trivial.
% 22.42/22.49 apply (zenon_L156_); trivial.
% 22.42/22.49 apply (zenon_L165_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.49 apply (zenon_L2046_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.49 apply (zenon_L184_); trivial.
% 22.42/22.49 apply (zenon_L246_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.42/22.49 apply (zenon_L779_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.49 apply (zenon_L13_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.49 apply (zenon_L2030_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.49 apply (zenon_L184_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.49 apply (zenon_L13_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.49 apply (zenon_L14_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.49 apply (zenon_L226_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.49 apply (zenon_L41_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.42/22.49 apply (zenon_L264_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.42/22.49 apply (zenon_L117_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.42/22.49 apply (zenon_L2049_); trivial.
% 22.42/22.49 apply (zenon_L80_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.49 apply (zenon_L178_); trivial.
% 22.42/22.49 apply (zenon_L154_); trivial.
% 22.42/22.49 apply (zenon_L621_); trivial.
% 22.42/22.49 apply (zenon_L2050_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.42/22.49 apply (zenon_L161_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.49 apply (zenon_L934_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.49 apply (zenon_L65_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.49 apply (zenon_L184_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.49 apply (zenon_L376_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.49 apply (zenon_L25_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.49 apply (zenon_L226_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.42/22.49 apply (zenon_L65_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.42/22.49 apply (zenon_L486_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.42/22.49 apply (zenon_L15_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.42/22.49 apply (zenon_L116_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.42/22.49 apply (zenon_L1001_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.42/22.49 apply (zenon_L117_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.42/22.49 apply (zenon_L685_); trivial.
% 22.42/22.49 apply (zenon_L80_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.42/22.49 apply (zenon_L617_); trivial.
% 22.42/22.49 apply (zenon_L172_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.49 apply (zenon_L53_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.49 apply (zenon_L193_); trivial.
% 22.42/22.49 apply (zenon_L115_); trivial.
% 22.42/22.49 apply (zenon_L621_); trivial.
% 22.42/22.49 apply (zenon_L2037_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.42/22.49 apply (zenon_L755_); trivial.
% 22.42/22.49 apply (zenon_L2038_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.42/22.49 apply (zenon_L1005_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.42/22.49 apply (zenon_L1999_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.49 apply (zenon_L934_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.49 apply (zenon_L1149_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.49 apply (zenon_L25_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.49 apply (zenon_L226_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.42/22.49 exact (zenon_H6c zenon_H67).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.42/22.49 apply (zenon_L171_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.42/22.49 exact (zenon_H7b zenon_H65).
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.42/22.49 apply (zenon_L116_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.42/22.49 apply (zenon_L217_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.42/22.49 apply (zenon_L2051_); trivial.
% 22.42/22.49 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.42/22.49 apply (zenon_L2041_); trivial.
% 22.42/22.49 apply (zenon_L77_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.42/22.50 apply (zenon_L124_); trivial.
% 22.42/22.50 apply (zenon_L172_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.50 apply (zenon_L933_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.50 apply (zenon_L193_); trivial.
% 22.42/22.50 apply (zenon_L156_); trivial.
% 22.42/22.50 apply (zenon_L621_); trivial.
% 22.42/22.50 apply (zenon_L2003_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.50 apply (zenon_L184_); trivial.
% 22.42/22.50 apply (zenon_L246_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.42/22.50 apply (zenon_L755_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.50 apply (zenon_L253_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.42/22.50 apply (zenon_L55_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.42/22.50 apply (zenon_L486_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.42/22.50 apply (zenon_L998_); trivial.
% 22.42/22.50 apply (zenon_L2043_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.50 apply (zenon_L178_); trivial.
% 22.42/22.50 apply (zenon_L154_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.50 apply (zenon_L2046_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.50 apply (zenon_L184_); trivial.
% 22.42/22.50 apply (zenon_L246_); trivial.
% 22.42/22.50 apply (zenon_L130_); trivial.
% 22.42/22.50 (* end of lemma zenon_L2052_ *)
% 22.42/22.50 assert (zenon_L2053_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.42/22.50 do 0 intro. intros zenon_H15d zenon_Hbc zenon_H131 zenon_H1f1 zenon_H13f zenon_H1a2 zenon_H6f zenon_H117 zenon_H140 zenon_H34 zenon_H16a zenon_Hf0 zenon_H8b zenon_H12e zenon_H1b7 zenon_H1cb zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H183 zenon_H11a zenon_H68 zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H77 zenon_H4e zenon_Hbb zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H13a zenon_H82 zenon_H73 zenon_H4d zenon_H38 zenon_H48.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.50 exact (zenon_H6c zenon_H67).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.50 apply (zenon_L1362_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.50 apply (zenon_L253_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.50 apply (zenon_L1977_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.50 apply (zenon_L178_); trivial.
% 22.42/22.50 apply (zenon_L156_); trivial.
% 22.42/22.50 apply (zenon_L165_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.50 apply (zenon_L1363_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.50 apply (zenon_L14_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.50 apply (zenon_L1970_); trivial.
% 22.42/22.50 apply (zenon_L456_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.50 apply (zenon_L184_); trivial.
% 22.42/22.50 apply (zenon_L246_); trivial.
% 22.42/22.50 (* end of lemma zenon_L2053_ *)
% 22.42/22.50 assert (zenon_L2054_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 22.42/22.50 do 0 intro. intros zenon_He4 zenon_Hb6 zenon_Hdb zenon_H156 zenon_H4d zenon_H129 zenon_H8b zenon_H77 zenon_H7b zenon_H16a zenon_H212 zenon_He0 zenon_H7d zenon_H18a zenon_H17c zenon_Hbb zenon_Hbc.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.42/22.50 apply (zenon_L55_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.42/22.50 apply (zenon_L486_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.42/22.50 apply (zenon_L127_); trivial.
% 22.42/22.50 apply (zenon_L1375_); trivial.
% 22.42/22.50 (* end of lemma zenon_L2054_ *)
% 22.42/22.50 assert (zenon_L2055_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 22.42/22.50 do 0 intro. intros zenon_H183 zenon_H1a2 zenon_Ha9 zenon_H66 zenon_H14c zenon_Ha0 zenon_H13f zenon_Ha8 zenon_H1f1 zenon_H131 zenon_H12e zenon_H11a zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H73 zenon_H68 zenon_H1e zenon_H93 zenon_H196 zenon_H15d zenon_He4 zenon_Hb6 zenon_Hdb zenon_H156 zenon_H4d zenon_H129 zenon_H8b zenon_H77 zenon_H7b zenon_H16a zenon_H212 zenon_He0 zenon_H7d zenon_H18a zenon_Hbb zenon_Hbc.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.42/22.50 apply (zenon_L1990_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.42/22.50 apply (zenon_L119_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.42/22.50 apply (zenon_L1982_); trivial.
% 22.42/22.50 apply (zenon_L2054_); trivial.
% 22.42/22.50 (* end of lemma zenon_L2055_ *)
% 22.42/22.50 assert (zenon_L2056_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 22.42/22.50 do 0 intro. intros zenon_H164 zenon_H48 zenon_H7e zenon_Hbc zenon_Hbb zenon_H18a zenon_H7d zenon_H212 zenon_H16a zenon_H7b zenon_H77 zenon_H8b zenon_H129 zenon_H156 zenon_Hdb zenon_Hb6 zenon_He4 zenon_H15d zenon_H196 zenon_H1e zenon_H68 zenon_H73 zenon_H139 zenon_H6c zenon_Hef zenon_H173 zenon_H177 zenon_H11a zenon_H12e zenon_H131 zenon_H1f1 zenon_Ha8 zenon_H13f zenon_Ha0 zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H183 zenon_H14c zenon_H104 zenon_H25b zenon_H20f zenon_H186 zenon_H4d zenon_H195 zenon_H93 zenon_Ha6 zenon_H5d.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.42/22.50 apply (zenon_L456_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.42/22.50 apply (zenon_L2055_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.42/22.50 apply (zenon_L257_); trivial.
% 22.42/22.50 apply (zenon_L2034_); trivial.
% 22.42/22.50 (* end of lemma zenon_L2056_ *)
% 22.42/22.50 assert (zenon_L2057_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (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 (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (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) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> False).
% 22.42/22.50 do 0 intro. intros zenon_Hf0 zenon_H1c6 zenon_H189 zenon_H1b7 zenon_H18d zenon_H1cd zenon_H82 zenon_H4e zenon_Hb6 zenon_Hbb zenon_H177 zenon_Hb2 zenon_H117 zenon_H191 zenon_H19a zenon_H94 zenon_H55 zenon_H140 zenon_H2c zenon_H22d zenon_H25b zenon_H20f zenon_H186 zenon_H195 zenon_H5d zenon_H13e zenon_H1ef zenon_H68 zenon_H8b zenon_H53 zenon_H7b zenon_H16a zenon_H5a zenon_H164 zenon_H33 zenon_Hbc zenon_H18a zenon_H7d zenon_H212 zenon_H129 zenon_H156 zenon_He4 zenon_H12e zenon_H131 zenon_H1f1 zenon_H13f zenon_Ha0 zenon_Ha9 zenon_H1a2 zenon_H104 zenon_H183 zenon_H11a zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H4d zenon_H73 zenon_H1e zenon_H196 zenon_H15d zenon_H48 zenon_H141 zenon_H13a zenon_H77.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.50 apply (zenon_L13_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.50 apply (zenon_L13_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.50 apply (zenon_L14_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.50 apply (zenon_L15_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.50 exact (zenon_H6c zenon_H67).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.50 apply (zenon_L226_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.50 apply (zenon_L41_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.50 apply (zenon_L55_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.50 apply (zenon_L193_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.42/22.50 apply (zenon_L55_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.42/22.50 apply (zenon_L1984_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.42/22.50 apply (zenon_L113_); trivial.
% 22.42/22.50 apply (zenon_L360_); trivial.
% 22.42/22.50 apply (zenon_L621_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.50 apply (zenon_L184_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.50 apply (zenon_L13_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.50 apply (zenon_L16_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.50 apply (zenon_L15_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.50 exact (zenon_H6c zenon_H67).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.50 apply (zenon_L226_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.50 apply (zenon_L41_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.42/22.50 apply (zenon_L41_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.42/22.50 apply (zenon_L755_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.42/22.50 apply (zenon_L111_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.42/22.50 exact (zenon_H7b zenon_H65).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.42/22.50 apply (zenon_L319_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.42/22.50 exact (zenon_H8b zenon_H8a).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.42/22.50 apply (zenon_L2056_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.42/22.50 apply (zenon_L113_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.42/22.50 exact (zenon_H191 zenon_H110).
% 22.42/22.50 apply (zenon_L2035_); trivial.
% 22.42/22.50 apply (zenon_L766_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.42/22.50 apply (zenon_L67_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.42/22.50 apply (zenon_L111_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.42/22.50 exact (zenon_H7b zenon_H65).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.42/22.50 apply (zenon_L319_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.42/22.50 exact (zenon_H8b zenon_H8a).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.42/22.50 apply (zenon_L7_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.42/22.50 apply (zenon_L2055_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.42/22.50 apply (zenon_L257_); trivial.
% 22.42/22.50 apply (zenon_L1983_); trivial.
% 22.42/22.50 apply (zenon_L766_); trivial.
% 22.42/22.50 apply (zenon_L134_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.50 apply (zenon_L178_); trivial.
% 22.42/22.50 apply (zenon_L115_); trivial.
% 22.42/22.50 apply (zenon_L98_); trivial.
% 22.42/22.50 (* end of lemma zenon_L2057_ *)
% 22.42/22.50 assert (zenon_L2058_ : (((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)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (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) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> False).
% 22.42/22.50 do 0 intro. intros zenon_H1fe zenon_H19d zenon_H125 zenon_H1d5 zenon_H13c zenon_H164 zenon_H1a2 zenon_H13f zenon_H1f1 zenon_H12e zenon_H104 zenon_H117 zenon_H141 zenon_Hf5 zenon_Hb2 zenon_Hf0 zenon_H191 zenon_H131 zenon_H1ef zenon_H13e zenon_H15d zenon_H129 zenon_H8b zenon_H53 zenon_H7b zenon_H16a zenon_H196 zenon_H11a zenon_H73 zenon_H82 zenon_Hbb zenon_H4e zenon_H5a zenon_H77 zenon_H13a zenon_H177 zenon_H68 zenon_H183 zenon_H55 zenon_H4d zenon_H156 zenon_He4 zenon_Ha0 zenon_H2a zenon_Ha9 zenon_Hb6 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H48.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.42/22.50 apply (zenon_L161_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.50 apply (zenon_L1992_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.50 apply (zenon_L65_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.50 apply (zenon_L184_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.50 apply (zenon_L635_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.50 apply (zenon_L25_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.50 apply (zenon_L15_); trivial.
% 22.42/22.50 apply (zenon_L2037_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.42/22.50 apply (zenon_L755_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.50 apply (zenon_L1996_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.50 apply (zenon_L65_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.50 apply (zenon_L184_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.50 apply (zenon_L635_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.50 apply (zenon_L16_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.50 apply (zenon_L1997_); trivial.
% 22.42/22.50 apply (zenon_L456_); trivial.
% 22.42/22.50 (* end of lemma zenon_L2058_ *)
% 22.42/22.50 assert (zenon_L2059_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (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) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.42/22.50 do 0 intro. intros zenon_H1fe zenon_H1d5 zenon_H125 zenon_H164 zenon_Hb2 zenon_H15d zenon_H196 zenon_H8b zenon_Hef zenon_Hf0 zenon_H7b zenon_H16a zenon_H117 zenon_H6c zenon_H173 zenon_H11a zenon_H183 zenon_H13f zenon_H1f1 zenon_H131 zenon_H6f zenon_H191 zenon_H12e zenon_H201 zenon_H186 zenon_H1cd zenon_H18d zenon_H1a2 zenon_H25b zenon_Hf5 zenon_H20f zenon_H195 zenon_H92 zenon_H1ef zenon_H13e zenon_H141 zenon_H53 zenon_H55 zenon_H5a zenon_H4e zenon_H139 zenon_H77 zenon_Hbb zenon_H177 zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H13a zenon_H68 zenon_H82 zenon_H73 zenon_H4d zenon_H38 zenon_H48.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.42/22.50 apply (zenon_L1999_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.50 exact (zenon_H6c zenon_H67).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.50 apply (zenon_L1362_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.42/22.50 exact (zenon_H6c zenon_H67).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.42/22.50 apply (zenon_L171_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.42/22.50 exact (zenon_H7b zenon_H65).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.42/22.50 apply (zenon_L253_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.42/22.50 apply (zenon_L116_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.42/22.50 apply (zenon_L973_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.42/22.50 apply (zenon_L111_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.42/22.50 exact (zenon_H7b zenon_H65).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.42/22.50 apply (zenon_L61_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.42/22.50 exact (zenon_H8b zenon_H8a).
% 22.42/22.50 apply (zenon_L2002_); trivial.
% 22.42/22.50 apply (zenon_L1162_); trivial.
% 22.42/22.50 apply (zenon_L91_); trivial.
% 22.42/22.50 apply (zenon_L165_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.50 apply (zenon_L1363_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.50 apply (zenon_L25_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.50 apply (zenon_L15_); trivial.
% 22.42/22.50 apply (zenon_L2003_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.50 apply (zenon_L184_); trivial.
% 22.42/22.50 apply (zenon_L246_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.42/22.50 apply (zenon_L973_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.42/22.50 exact (zenon_H6c zenon_H67).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.42/22.50 apply (zenon_L1362_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.50 apply (zenon_L253_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.50 apply (zenon_L2007_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.50 apply (zenon_L178_); trivial.
% 22.42/22.50 apply (zenon_L156_); trivial.
% 22.42/22.50 apply (zenon_L621_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.50 apply (zenon_L1363_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.50 apply (zenon_L16_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.50 apply (zenon_L15_); trivial.
% 22.42/22.50 apply (zenon_L456_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.50 apply (zenon_L184_); trivial.
% 22.42/22.50 apply (zenon_L246_); trivial.
% 22.42/22.50 (* end of lemma zenon_L2059_ *)
% 22.42/22.50 assert (zenon_L2060_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> False).
% 22.42/22.50 do 0 intro. intros zenon_H141 zenon_H109 zenon_H77 zenon_H139 zenon_H6c zenon_Hef zenon_H173 zenon_H177 zenon_H38 zenon_H68 zenon_H11a zenon_H34 zenon_H183 zenon_H1a2 zenon_H66 zenon_H13f zenon_H1f1 zenon_H4d zenon_H131 zenon_Hdb zenon_H6f zenon_H48 zenon_H12e zenon_H117 zenon_Ha9 zenon_H65 zenon_Hb6 zenon_H53 zenon_H104 zenon_Hbb zenon_Ha0.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.42/22.50 apply (zenon_L359_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.42/22.50 apply (zenon_L111_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.42/22.50 apply (zenon_L1973_); trivial.
% 22.42/22.50 apply (zenon_L806_); trivial.
% 22.42/22.50 (* end of lemma zenon_L2060_ *)
% 22.42/22.50 assert (zenon_L2061_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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)) = (e0)) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e0)) = (e2)) -> (~((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 (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 22.42/22.50 do 0 intro. intros zenon_He4 zenon_H156 zenon_H104 zenon_H12e zenon_H66 zenon_H1a2 zenon_H183 zenon_H34 zenon_H11a zenon_H68 zenon_H177 zenon_H173 zenon_Hef zenon_H6c zenon_H139 zenon_H109 zenon_H141 zenon_H140 zenon_H26d zenon_H38 zenon_H48 zenon_Hb6 zenon_H6f zenon_Hdb zenon_H65 zenon_Ha9 zenon_H117 zenon_H131 zenon_H4d zenon_H1f1 zenon_H77 zenon_H13f zenon_Ha0 zenon_Hbb.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.42/22.50 apply (zenon_L55_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.42/22.50 apply (zenon_L486_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.42/22.50 apply (zenon_L2060_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.42/22.50 apply (zenon_L756_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.42/22.50 apply (zenon_L117_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.42/22.50 apply (zenon_L1972_); trivial.
% 22.42/22.50 apply (zenon_L80_); trivial.
% 22.42/22.50 (* end of lemma zenon_L2061_ *)
% 22.42/22.50 assert (zenon_L2062_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (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 (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 22.42/22.50 do 0 intro. intros zenon_H204 zenon_H13c zenon_H15d zenon_H4e zenon_H55 zenon_H82 zenon_H73 zenon_H196 zenon_H192 zenon_H25b zenon_H195 zenon_H186 zenon_H20f zenon_H164 zenon_Hf0 zenon_H7d zenon_H23d zenon_H236 zenon_H66 zenon_H68 zenon_H1f zenon_Hb2 zenon_Hbb zenon_Hbc zenon_H65 zenon_Ha9 zenon_Ha0 zenon_H13a zenon_Hb6 zenon_H156 zenon_H4d zenon_H141 zenon_H104 zenon_H13f zenon_H6f zenon_H117 zenon_H131 zenon_H1f1 zenon_H77 zenon_H1a2 zenon_Hef zenon_H183 zenon_H6c zenon_H173 zenon_H177 zenon_H139 zenon_H11a zenon_H12e zenon_H48 zenon_H109 zenon_H140 zenon_H26d zenon_He4 zenon_H1fe zenon_H23b.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.42/22.50 apply (zenon_L1866_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.42/22.50 exact (zenon_H1f zenon_H1e).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.42/22.50 exact (zenon_H205 zenon_H2a).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.42/22.50 apply (zenon_L264_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.42/22.50 exact (zenon_H1f zenon_H1e).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.42/22.50 exact (zenon_Ha4 zenon_H9f).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.42/22.50 apply (zenon_L116_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.42/22.50 apply (zenon_L43_); trivial.
% 22.42/22.50 apply (zenon_L48_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.42/22.50 apply (zenon_L27_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.42/22.50 exact (zenon_Ha4 zenon_H9f).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.42/22.50 apply (zenon_L2061_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.42/22.50 apply (zenon_L178_); trivial.
% 22.42/22.50 apply (zenon_L156_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.42/22.50 exact (zenon_H1f zenon_H1e).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.42/22.50 exact (zenon_H1f zenon_H1e).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.42/22.50 exact (zenon_H4c zenon_H47).
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.42/22.50 apply (zenon_L25_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.42/22.50 apply (zenon_L30_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.42/22.50 apply (zenon_L65_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.42/22.50 apply (zenon_L486_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.42/22.50 apply (zenon_L116_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.42/22.50 apply (zenon_L27_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.42/22.50 apply (zenon_L111_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.42/22.50 apply (zenon_L43_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.42/22.50 apply (zenon_L74_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.42/22.50 apply (zenon_L278_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.42/22.50 apply (zenon_L2038_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.42/22.50 apply (zenon_L292_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.42/22.50 apply (zenon_L257_); trivial.
% 22.42/22.50 apply (zenon_L684_); trivial.
% 22.42/22.50 apply (zenon_L806_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.42/22.50 apply (zenon_L124_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.42/22.50 apply (zenon_L43_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.42/22.50 apply (zenon_L113_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.42/22.50 apply (zenon_L129_); trivial.
% 22.42/22.50 apply (zenon_L172_); trivial.
% 22.42/22.50 apply (zenon_L31_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.42/22.50 apply (zenon_L27_); trivial.
% 22.42/22.50 apply (zenon_L2021_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.42/22.50 apply (zenon_L264_); trivial.
% 22.42/22.50 exact (zenon_H238 zenon_H38).
% 22.42/22.50 apply (zenon_L1861_); trivial.
% 22.42/22.50 (* end of lemma zenon_L2062_ *)
% 22.42/22.50 assert (zenon_L2063_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.42/22.50 do 0 intro. intros zenon_H15d zenon_H196 zenon_H93 zenon_H177 zenon_H68 zenon_H77 zenon_H139 zenon_H48 zenon_H2a zenon_H73 zenon_H4d zenon_H1bb zenon_H1cd zenon_Hbb zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_H1b4 zenon_H181 zenon_Hc4.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.42/22.50 apply (zenon_L352_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.42/22.50 apply (zenon_L65_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.42/22.50 apply (zenon_L184_); trivial.
% 22.42/22.50 apply (zenon_L816_); trivial.
% 22.42/22.50 (* end of lemma zenon_L2063_ *)
% 22.42/22.50 assert (zenon_L2064_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e3) (e2)) = (e3)) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (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 (e1) (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 (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> False).
% 22.42/22.50 do 0 intro. intros zenon_H236 zenon_H181 zenon_Hbb zenon_Hca zenon_H2c zenon_H1a2 zenon_H4e zenon_H186 zenon_H189 zenon_H1a8 zenon_Hc2 zenon_H15d zenon_H24e zenon_H1cd zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H1b7 zenon_H1b4 zenon_H1bb zenon_H77 zenon_H196 zenon_H93 zenon_H48 zenon_H13a zenon_Hb2 zenon_H156 zenon_H55 zenon_He4 zenon_Ha0 zenon_H117 zenon_H12e zenon_H25b zenon_H195 zenon_H20f zenon_Hf5 zenon_H25e zenon_H192 zenon_H18d zenon_H26d zenon_H19a zenon_H11a zenon_H164 zenon_H33 zenon_H104 zenon_H121 zenon_Hf0 zenon_Hb6 zenon_H4d zenon_H1c6 zenon_H13f zenon_H131 zenon_Hfa zenon_H163 zenon_H129 zenon_H179 zenon_H141 zenon_H13c zenon_H82 zenon_H94 zenon_H125 zenon_H73 zenon_H1f1 zenon_Ha9 zenon_H1cb zenon_H1fe zenon_Hcb zenon_H1c3 zenon_H109 zenon_Hc8 zenon_H209 zenon_H1c7 zenon_Hc4 zenon_H139 zenon_H6c zenon_Hef zenon_H173 zenon_H160 zenon_H177 zenon_H68.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.42/22.50 apply (zenon_L1982_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.42/22.50 apply (zenon_L2063_); trivial.
% 22.42/22.50 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.42/22.50 apply (zenon_L898_); trivial.
% 22.42/22.50 apply (zenon_L1967_); trivial.
% 22.42/22.50 (* end of lemma zenon_L2064_ *)
% 22.42/22.50 assert (zenon_L2065_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (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 (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H236 zenon_H6c zenon_Hbb zenon_H160 zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H12e zenon_H15d zenon_H1a8 zenon_H189 zenon_H1cd zenon_H82 zenon_H196 zenon_H13a zenon_Ha9 zenon_Ha0 zenon_Hb6 zenon_H4e zenon_H4d zenon_H139 zenon_H177 zenon_H19a zenon_H181 zenon_H164 zenon_Hef zenon_H173 zenon_H68 zenon_H73 zenon_H1b7 zenon_H179 zenon_H195 zenon_Hfa zenon_H55 zenon_H1a2 zenon_H2c zenon_H141 zenon_H24e zenon_H156 zenon_He4 zenon_H1fe zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H93 zenon_H77 zenon_H120.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.46/22.51 apply (zenon_L1982_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.46/22.51 apply (zenon_L2063_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.46/22.51 apply (zenon_L978_); trivial.
% 22.46/22.51 apply (zenon_L555_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2065_ *)
% 22.46/22.51 assert (zenon_L2066_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H15d zenon_H173 zenon_Hef zenon_H73 zenon_H82 zenon_H196 zenon_H93 zenon_H177 zenon_H160 zenon_H13a zenon_Ha9 zenon_Hbb zenon_Hb6 zenon_H77 zenon_H139 zenon_H4e zenon_H4d zenon_H48 zenon_H2d zenon_H1bb zenon_H162 zenon_H18a zenon_H181 zenon_Hc4.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.46/22.51 apply (zenon_L975_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.46/22.51 apply (zenon_L892_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.46/22.51 apply (zenon_L184_); trivial.
% 22.46/22.51 apply (zenon_L1033_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2066_ *)
% 22.46/22.51 assert (zenon_L2067_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (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)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H236 zenon_H19d zenon_H1a2 zenon_H271 zenon_H1d8 zenon_H111 zenon_Hcc zenon_H270 zenon_Ha0 zenon_H1d5 zenon_H156 zenon_H179 zenon_Hbc zenon_H212 zenon_H1cf zenon_H192 zenon_H25e zenon_Hf5 zenon_H25b zenon_H19a zenon_H186 zenon_He4 zenon_H164 zenon_H13c zenon_H1c6 zenon_H131 zenon_H13f zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_Hf0 zenon_H8b zenon_H16a zenon_H22d zenon_H94 zenon_H201 zenon_H141 zenon_H104 zenon_H125 zenon_H121 zenon_H109 zenon_H1c3 zenon_H1f1 zenon_H163 zenon_H33 zenon_H11a zenon_H26d zenon_H117 zenon_Hb2 zenon_H1a8 zenon_H189 zenon_H2c zenon_H5d zenon_H26a zenon_H1fe zenon_H68 zenon_Hfa zenon_H195 zenon_H6c zenon_H181 zenon_H162 zenon_H4d zenon_H4e zenon_H139 zenon_Hb6 zenon_Hbb zenon_Ha9 zenon_H13a zenon_H177 zenon_H196 zenon_H82 zenon_H73 zenon_Hef zenon_H173 zenon_H15d zenon_H12e zenon_H77 zenon_H93 zenon_H1b4 zenon_H20f zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H1cb zenon_H18a zenon_H1bb zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H160 zenon_H1c7.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.46/22.51 apply (zenon_L1982_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.46/22.51 apply (zenon_L161_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.46/22.51 apply (zenon_L2026_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.46/22.51 apply (zenon_L2066_); trivial.
% 22.46/22.51 apply (zenon_L870_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.46/22.51 apply (zenon_L1007_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.46/22.51 apply (zenon_L13_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.46/22.51 apply (zenon_L215_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.46/22.51 apply (zenon_L184_); trivial.
% 22.46/22.51 apply (zenon_L246_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.46/22.51 exact (zenon_H6c zenon_H67).
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.46/22.51 apply (zenon_L976_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.46/22.51 apply (zenon_L122_); trivial.
% 22.46/22.51 apply (zenon_L165_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.46/22.51 apply (zenon_L2066_); trivial.
% 22.46/22.51 apply (zenon_L1510_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2067_ *)
% 22.46/22.51 assert (zenon_L2068_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H139 zenon_H6c zenon_H2a zenon_H8a zenon_H111 zenon_Hfa zenon_H68 zenon_H1b3 zenon_Hec zenon_H77 zenon_H40 zenon_H25 zenon_H48 zenon_Heb zenon_Hf5.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.46/22.51 exact (zenon_H6c zenon_H67).
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.46/22.51 apply (zenon_L147_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.46/22.51 apply (zenon_L258_); trivial.
% 22.46/22.51 apply (zenon_L303_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2068_ *)
% 22.46/22.51 assert (zenon_L2069_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H15c zenon_H173 zenon_H158 zenon_H6c zenon_H68 zenon_H2a zenon_H111 zenon_H8a zenon_Hfa zenon_Hf5 zenon_H48 zenon_H40 zenon_H77 zenon_Heb zenon_H1b3 zenon_H25 zenon_H139.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.46/22.51 apply (zenon_L2068_); trivial.
% 22.46/22.51 apply (zenon_L304_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2069_ *)
% 22.46/22.51 assert (zenon_L2070_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H28 zenon_H139 zenon_H1b3 zenon_Heb zenon_H77 zenon_H48 zenon_Hf5 zenon_Hfa zenon_H8a zenon_H111 zenon_H68 zenon_H6c zenon_H158 zenon_H173.
% 22.46/22.51 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 22.46/22.51 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 22.46/22.51 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.46/22.51 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.46/22.51 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.46/22.51 apply (zenon_L2069_); trivial.
% 22.46/22.51 apply (zenon_L2069_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2070_ *)
% 22.46/22.51 assert (zenon_L2071_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H139 zenon_H6c zenon_H181 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H192 zenon_H183 zenon_Hc4 zenon_H1cb zenon_H18a zenon_H1bb zenon_H77 zenon_H104 zenon_H48 zenon_H12e zenon_H8a zenon_H111 zenon_H38 zenon_H68.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.46/22.51 exact (zenon_H6c zenon_H67).
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.46/22.51 apply (zenon_L1509_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.46/22.51 apply (zenon_L258_); trivial.
% 22.46/22.51 apply (zenon_L165_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2071_ *)
% 22.46/22.51 assert (zenon_L2072_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H139 zenon_H6c zenon_H120 zenon_H183 zenon_H192 zenon_Hc4 zenon_H1cb zenon_H34 zenon_H18a zenon_H1bb zenon_H181 zenon_H77 zenon_H104 zenon_H48 zenon_H12e zenon_H8a zenon_H111 zenon_H38 zenon_H68.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.46/22.51 exact (zenon_H6c zenon_H67).
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.46/22.51 apply (zenon_L456_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.46/22.51 apply (zenon_L420_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.46/22.51 apply (zenon_L1507_); trivial.
% 22.46/22.51 exact (zenon_H120 zenon_H11f).
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.46/22.51 apply (zenon_L258_); trivial.
% 22.46/22.51 apply (zenon_L165_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2072_ *)
% 22.46/22.51 assert (zenon_L2073_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H236 zenon_H1f zenon_H48 zenon_Hf5 zenon_H131 zenon_H8a zenon_H1b3 zenon_H3c zenon_H77 zenon_Hfa zenon_H68 zenon_H3d zenon_H6c zenon_H139 zenon_H238.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.46/22.51 exact (zenon_H1f zenon_H1e).
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.46/22.51 apply (zenon_L65_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.46/22.51 apply (zenon_L1123_); trivial.
% 22.46/22.51 exact (zenon_H238 zenon_H38).
% 22.46/22.51 (* end of lemma zenon_L2073_ *)
% 22.46/22.51 assert (zenon_L2074_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H204 zenon_H23d zenon_H236 zenon_H6c zenon_H77 zenon_H68 zenon_Hfa zenon_Hf5 zenon_H8a zenon_H131 zenon_H1b3 zenon_H3c zenon_H139 zenon_H3d zenon_H48 zenon_H1f zenon_H13a zenon_Ha9 zenon_Ha0 zenon_Hb6 zenon_H23b.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.46/22.51 apply (zenon_L2073_); trivial.
% 22.46/22.51 apply (zenon_L1858_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.46/22.51 apply (zenon_L2073_); trivial.
% 22.46/22.51 apply (zenon_L1861_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2074_ *)
% 22.46/22.51 assert (zenon_L2075_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H1a8 zenon_H68 zenon_H2a zenon_H1b3 zenon_H190 zenon_H8a zenon_H7f zenon_H77.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.46/22.51 apply (zenon_L147_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.46/22.51 exact (zenon_H1b3 zenon_Hef).
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.46/22.51 apply (zenon_L366_); trivial.
% 22.46/22.51 apply (zenon_L169_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2075_ *)
% 22.46/22.51 assert (zenon_L2076_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (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 (e3) (e3)) = (e2))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H236 zenon_Hf5 zenon_H48 zenon_H192 zenon_H7f zenon_H139 zenon_H1c2 zenon_H111 zenon_H13a zenon_Hb6 zenon_H8a zenon_H190 zenon_H1b3 zenon_H1a8 zenon_Ha0 zenon_Ha9 zenon_H15d zenon_H1c3 zenon_H68 zenon_H77 zenon_Hc4 zenon_H129 zenon_H5c zenon_H20f zenon_H1b4 zenon_H1bb zenon_H181.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.46/22.51 apply (zenon_L13_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.46/22.51 apply (zenon_L146_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.46/22.51 apply (zenon_L41_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.46/22.51 apply (zenon_L1126_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.46/22.51 apply (zenon_L95_); trivial.
% 22.46/22.51 apply (zenon_L1124_); trivial.
% 22.46/22.51 apply (zenon_L192_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.46/22.51 apply (zenon_L2075_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.46/22.51 apply (zenon_L1127_); trivial.
% 22.46/22.51 apply (zenon_L414_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2076_ *)
% 22.46/22.51 assert (zenon_L2077_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H9b zenon_H139 zenon_H6c zenon_H181 zenon_H104 zenon_H192 zenon_H183 zenon_H8a zenon_H111 zenon_Ha9.
% 22.46/22.51 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 22.46/22.51 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 22.46/22.51 apply (zenon_L1130_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2077_ *)
% 22.46/22.51 assert (zenon_L2078_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_Hb2 zenon_Ha0 zenon_H1e zenon_H5d zenon_Ha5 zenon_Hb6 zenon_H54 zenon_Hb1 zenon_H7d.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.46/22.51 apply (zenon_L41_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.46/22.51 apply (zenon_L42_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.46/22.51 apply (zenon_L151_); trivial.
% 22.46/22.51 apply (zenon_L221_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2078_ *)
% 22.46/22.51 assert (zenon_L2079_ : (((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 (e3) (e3)) = (e2))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H183 zenon_H77 zenon_H7e zenon_Hac zenon_Ha9 zenon_H8a zenon_H104 zenon_H181.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.46/22.51 apply (zenon_L71_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.46/22.51 apply (zenon_L371_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.46/22.51 apply (zenon_L231_); trivial.
% 22.46/22.51 exact (zenon_H181 zenon_H17c).
% 22.46/22.51 (* end of lemma zenon_L2079_ *)
% 22.46/22.51 assert (zenon_L2080_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((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 (e3) (e3)) = (e2))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H82 zenon_H48 zenon_H7a zenon_H7d zenon_Hb1 zenon_Hb6 zenon_Ha5 zenon_H5d zenon_H1e zenon_Ha0 zenon_Hb2 zenon_H183 zenon_H77 zenon_Hac zenon_Ha9 zenon_H8a zenon_H104 zenon_H181.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.46/22.51 apply (zenon_L13_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.46/22.51 exact (zenon_H7a zenon_H3c).
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.46/22.51 apply (zenon_L2078_); trivial.
% 22.46/22.51 apply (zenon_L2079_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2080_ *)
% 22.46/22.51 assert (zenon_L2081_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H277 zenon_Hcc zenon_H1a2 zenon_H1cd zenon_H186 zenon_H183 zenon_H104 zenon_H15d zenon_H48 zenon_H192 zenon_H13a zenon_H1c2 zenon_H1c3 zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H111 zenon_H190 zenon_H1a8 zenon_H77 zenon_H68 zenon_Hfa zenon_Hf5 zenon_H131 zenon_H139 zenon_H26d zenon_H8a zenon_H1d8 zenon_H31 zenon_H109 zenon_Heb zenon_H4e zenon_H55 zenon_H2c zenon_H141 zenon_H164 zenon_H73 zenon_H20b zenon_H129 zenon_H20f zenon_H19a zenon_H173 zenon_H1c6 zenon_H25b zenon_H189 zenon_H82 zenon_H156 zenon_H117 zenon_H13f zenon_H1f1 zenon_He4 zenon_H1cb zenon_H121 zenon_Hb2 zenon_H179 zenon_H33 zenon_H234 zenon_H18d zenon_H163 zenon_H195 zenon_H196 zenon_H1bb zenon_H1b4 zenon_H1b7 zenon_H212 zenon_Hbc zenon_H7d zenon_H18a zenon_H24e zenon_H1fe zenon_H1ef zenon_H125 zenon_H12e zenon_H177 zenon_H271.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H4d ].
% 22.46/22.51 apply (zenon_L1142_); trivial.
% 22.46/22.51 apply (zenon_L1044_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2081_ *)
% 22.46/22.51 assert (zenon_L2082_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H139 zenon_H6c zenon_H77 zenon_H3d zenon_H8a zenon_H111 zenon_H38 zenon_H68.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.46/22.51 exact (zenon_H6c zenon_H67).
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.46/22.51 apply (zenon_L214_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.46/22.51 apply (zenon_L258_); trivial.
% 22.46/22.51 apply (zenon_L165_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2082_ *)
% 22.46/22.51 assert (zenon_L2083_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_He4 zenon_Hb6 zenon_H40 zenon_H55 zenon_H54 zenon_H1a8 zenon_Ha9 zenon_Hdb zenon_H1b3 zenon_H190 zenon_H8a zenon_H77.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.46/22.51 apply (zenon_L55_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.46/22.51 exact (zenon_H40 zenon_H3f).
% 22.46/22.51 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.46/22.51 apply (zenon_L15_); trivial.
% 22.46/22.51 apply (zenon_L1126_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2083_ *)
% 22.46/22.51 assert (zenon_L2084_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> False).
% 22.46/22.51 do 0 intro. intros zenon_Hfa zenon_H68 zenon_H25 zenon_H1b3 zenon_H8a zenon_H131 zenon_Ha9 zenon_Ha5.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.46/22.51 apply (zenon_L171_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.46/22.51 exact (zenon_H1b3 zenon_Hef).
% 22.46/22.51 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.46/22.51 apply (zenon_L87_); trivial.
% 22.46/22.51 apply (zenon_L299_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2084_ *)
% 22.46/22.51 assert (zenon_L2085_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H1fe zenon_H38 zenon_Hf5 zenon_He4 zenon_H40 zenon_H55 zenon_H1a8 zenon_H190 zenon_H13a zenon_H139 zenon_H6c zenon_H111 zenon_H15d zenon_H131 zenon_H1b3 zenon_Hfa zenon_H77 zenon_H48 zenon_H7a zenon_Hb2 zenon_Hb6 zenon_H5d zenon_Ha5 zenon_Ha0 zenon_H7d zenon_H82 zenon_H183 zenon_H68 zenon_Hac zenon_Ha9 zenon_H8a zenon_H104 zenon_H181.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.46/22.51 apply (zenon_L13_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.46/22.51 apply (zenon_L2082_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.46/22.51 apply (zenon_L13_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.46/22.51 exact (zenon_H7a zenon_H3c).
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.46/22.51 apply (zenon_L41_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.46/22.51 apply (zenon_L2083_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.46/22.51 apply (zenon_L95_); trivial.
% 22.46/22.51 apply (zenon_L262_); trivial.
% 22.46/22.51 apply (zenon_L2079_); trivial.
% 22.46/22.51 apply (zenon_L246_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.46/22.51 apply (zenon_L2084_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.46/22.51 apply (zenon_L355_); trivial.
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.46/22.51 exact (zenon_H7a zenon_H3c).
% 22.46/22.51 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.46/22.51 apply (zenon_L217_); trivial.
% 22.46/22.51 apply (zenon_L2079_); trivial.
% 22.46/22.51 apply (zenon_L1674_); trivial.
% 22.46/22.51 (* end of lemma zenon_L2085_ *)
% 22.46/22.51 assert (zenon_L2086_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (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) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((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 (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.46/22.51 do 0 intro. intros zenon_H236 zenon_Hb1 zenon_H11a zenon_H158 zenon_H271 zenon_H177 zenon_H12e zenon_H125 zenon_H1ef zenon_H24e zenon_H18a zenon_Hbc zenon_H212 zenon_H1b7 zenon_H1b4 zenon_H1bb zenon_H196 zenon_H195 zenon_H163 zenon_H18d zenon_H234 zenon_H33 zenon_H179 zenon_H121 zenon_H1cb zenon_H1f1 zenon_H13f zenon_H117 zenon_H156 zenon_H189 zenon_H25b zenon_H1c6 zenon_H173 zenon_H19a zenon_H20f zenon_H129 zenon_H20b zenon_H73 zenon_H164 zenon_H141 zenon_H2c zenon_H4e zenon_Heb zenon_H109 zenon_H1d8 zenon_H26d zenon_H1c3 zenon_H1c2 zenon_H192 zenon_H186 zenon_H1cd zenon_H1a2 zenon_Hcc zenon_H277 zenon_H1fe zenon_Hf5 zenon_He4 zenon_H40 zenon_H55 zenon_H1a8 zenon_H190 zenon_H13a zenon_H139 zenon_H6c zenon_H111 zenon_H15d zenon_H131 zenon_H1b3 zenon_Hfa zenon_H77 zenon_H48 zenon_H7a zenon_Hb2 zenon_Hb6 zenon_H5d zenon_Ha5 zenon_Ha0 zenon_H7d zenon_H82 zenon_H183 zenon_H68 zenon_Hac zenon_Ha9 zenon_H8a zenon_H104 zenon_H181.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.46/22.52 apply (zenon_L2080_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.46/22.52 apply (zenon_L372_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.46/22.52 apply (zenon_L2081_); trivial.
% 22.46/22.52 apply (zenon_L2085_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2086_ *)
% 22.46/22.52 assert (zenon_L2087_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H36 zenon_Hbb zenon_H139 zenon_H111 zenon_H48 zenon_H183 zenon_H8a zenon_H104 zenon_H77 zenon_H68 zenon_Hb6 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H24e zenon_H192 zenon_H12e zenon_H6c.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.46/22.52 exact (zenon_H1a3 zenon_Hbb).
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.46/22.52 exact (zenon_H6c zenon_H67).
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.46/22.52 apply (zenon_L456_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.46/22.52 apply (zenon_L420_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.46/22.52 apply (zenon_L363_); trivial.
% 22.46/22.52 apply (zenon_L1508_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.46/22.52 apply (zenon_L258_); trivial.
% 22.46/22.52 apply (zenon_L165_); trivial.
% 22.46/22.52 apply (zenon_L1678_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2087_ *)
% 22.46/22.52 assert (zenon_L2088_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((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 (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (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) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (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) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (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 (e3) (e3)) = (e2))) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H236 zenon_Hbb zenon_H7f zenon_H1b3 zenon_H271 zenon_H177 zenon_H12e zenon_H125 zenon_H1ef zenon_H1fe zenon_H24e zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H1b7 zenon_H196 zenon_H195 zenon_H163 zenon_H18d zenon_H234 zenon_H33 zenon_H179 zenon_Hb2 zenon_H121 zenon_H1cb zenon_He4 zenon_H1f1 zenon_H13f zenon_H117 zenon_H156 zenon_H82 zenon_H189 zenon_H25b zenon_H1c6 zenon_H173 zenon_H19a zenon_H20b zenon_H73 zenon_H164 zenon_H141 zenon_H2c zenon_H55 zenon_H4e zenon_Heb zenon_H109 zenon_H1d8 zenon_H8a zenon_H26d zenon_H139 zenon_H131 zenon_Hf5 zenon_Hfa zenon_H1a8 zenon_H190 zenon_H111 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H1c2 zenon_H13a zenon_H192 zenon_H48 zenon_H15d zenon_H104 zenon_H183 zenon_H186 zenon_H1cd zenon_H1a2 zenon_Hcc zenon_H277 zenon_H1c3 zenon_H68 zenon_H77 zenon_Hc4 zenon_H129 zenon_H5c zenon_H20f zenon_H1b4 zenon_H1bb zenon_H181.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.46/22.52 apply (zenon_L41_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.46/22.52 apply (zenon_L1126_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.46/22.52 apply (zenon_L178_); trivial.
% 22.46/22.52 apply (zenon_L1124_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.46/22.52 apply (zenon_L2075_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.46/22.52 apply (zenon_L2081_); trivial.
% 22.46/22.52 apply (zenon_L414_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2088_ *)
% 22.46/22.52 assert (zenon_L2089_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H158 zenon_H6c zenon_H13a zenon_H1c2 zenon_H1c3 zenon_H177 zenon_Ha9 zenon_H1b3 zenon_H190 zenon_H77 zenon_H1a8 zenon_Ha0 zenon_H68 zenon_H277 zenon_Hcc zenon_H1a2 zenon_H186 zenon_H183 zenon_H15d zenon_H48 zenon_H192 zenon_Hb6 zenon_Hfa zenon_Hf5 zenon_H139 zenon_H26d zenon_H1d8 zenon_H109 zenon_Heb zenon_H4e zenon_H55 zenon_H2c zenon_H141 zenon_H164 zenon_H73 zenon_H20b zenon_H129 zenon_H20f zenon_H19a zenon_H173 zenon_H1c6 zenon_H25b zenon_H189 zenon_H82 zenon_H156 zenon_H117 zenon_H13f zenon_H1f1 zenon_He4 zenon_H1cb zenon_H121 zenon_Hb2 zenon_H179 zenon_H33 zenon_H234 zenon_H18d zenon_H163 zenon_H195 zenon_H196 zenon_H1bb zenon_H1b4 zenon_H1b7 zenon_H212 zenon_H7d zenon_H18a zenon_H24e zenon_H1fe zenon_H1ef zenon_H125 zenon_H12e zenon_H271 zenon_H236 zenon_H111 zenon_H131 zenon_H104 zenon_Hbc zenon_H1cd zenon_Hbb zenon_H8a.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.46/22.52 apply (zenon_L2_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.46/22.52 apply (zenon_L2070_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.46/22.52 apply (zenon_L782_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.46/22.52 apply (zenon_L2087_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.46/22.52 apply (zenon_L1133_); trivial.
% 22.46/22.52 apply (zenon_L1133_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.46/22.52 apply (zenon_L11_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.46/22.52 apply (zenon_L787_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.46/22.52 exact (zenon_H1a3 zenon_Hbb).
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.46/22.52 apply (zenon_L2088_); trivial.
% 22.46/22.52 apply (zenon_L2088_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.46/22.52 apply (zenon_L789_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.46/22.52 apply (zenon_L88_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.46/22.52 apply (zenon_L37_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.46/22.52 apply (zenon_L232_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.46/22.52 apply (zenon_L791_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.46/22.52 apply (zenon_L361_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.46/22.52 apply (zenon_L792_); trivial.
% 22.46/22.52 apply (zenon_L51_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2089_ *)
% 22.46/22.52 assert (zenon_L2090_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((op (e1) (e2)) = (e1)) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H169 zenon_H139 zenon_H25 zenon_Heb zenon_H77 zenon_H40 zenon_H48 zenon_Hf5 zenon_Hfa zenon_H8a zenon_H111 zenon_H2a zenon_H68 zenon_H6c zenon_H158 zenon_H173 zenon_H15c zenon_H4d.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.46/22.52 exact (zenon_H1d4 zenon_H4d).
% 22.46/22.52 apply (zenon_L2069_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2090_ *)
% 22.46/22.52 assert (zenon_L2091_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H28 zenon_H4d zenon_H173 zenon_H158 zenon_H6c zenon_H68 zenon_H111 zenon_H8a zenon_Hfa zenon_Hf5 zenon_H48 zenon_H77 zenon_Heb zenon_H139.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.46/22.52 apply (zenon_L2090_); trivial.
% 22.46/22.52 apply (zenon_L2090_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2091_ *)
% 22.46/22.52 assert (zenon_L2092_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H12e zenon_H48 zenon_H104 zenon_H8a zenon_H77 zenon_H4d zenon_H163 zenon_H183 zenon_H68 zenon_H6e zenon_H192 zenon_H1c7 zenon_H1cd zenon_H1b7 zenon_H7d zenon_H34 zenon_H24e zenon_H181.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.46/22.52 apply (zenon_L456_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.46/22.52 apply (zenon_L420_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.46/22.52 apply (zenon_L285_); trivial.
% 22.46/22.52 apply (zenon_L1508_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2092_ *)
% 22.46/22.52 assert (zenon_L2093_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H139 zenon_H6c zenon_H181 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H192 zenon_H183 zenon_H163 zenon_H4d zenon_H77 zenon_H104 zenon_H48 zenon_H12e zenon_H8a zenon_H111 zenon_H38 zenon_H68.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.46/22.52 exact (zenon_H6c zenon_H67).
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.46/22.52 apply (zenon_L2092_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.46/22.52 apply (zenon_L258_); trivial.
% 22.46/22.52 apply (zenon_L165_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2093_ *)
% 22.46/22.52 assert (zenon_L2094_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H36 zenon_H6c zenon_H12e zenon_H192 zenon_H24e zenon_H1cd zenon_H1b7 zenon_H7d zenon_H4d zenon_H163 zenon_H68 zenon_H77 zenon_H104 zenon_H8a zenon_H181 zenon_H183 zenon_H48 zenon_H111 zenon_H139.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.46/22.52 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.46/22.52 apply (zenon_L2093_); trivial.
% 22.46/22.52 apply (zenon_L1684_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2094_ *)
% 22.46/22.52 assert (zenon_L2095_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e0)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e0)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H1bb zenon_H1cb zenon_H11d zenon_H77 zenon_H68 zenon_H115 zenon_Ha9 zenon_Ha5 zenon_H9f zenon_H1c3 zenon_H181 zenon_Hac zenon_H1b7.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 22.46/22.52 apply (zenon_L266_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 22.46/22.52 apply (zenon_L885_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 22.46/22.52 exact (zenon_H181 zenon_H17c).
% 22.46/22.52 apply (zenon_L1185_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2095_ *)
% 22.46/22.52 assert (zenon_L2096_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H19a zenon_Hf6 zenon_Ha0 zenon_H1b7 zenon_Hac zenon_H181 zenon_H1c3 zenon_H9f zenon_Ha5 zenon_Ha9 zenon_H68 zenon_H77 zenon_H1bb zenon_H11d zenon_H1cb.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.46/22.52 apply (zenon_L165_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.46/22.52 apply (zenon_L90_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.46/22.52 apply (zenon_L2095_); trivial.
% 22.46/22.52 apply (zenon_L266_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2096_ *)
% 22.46/22.52 assert (zenon_L2097_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H231 zenon_H1cb zenon_H167 zenon_H4d zenon_H163 zenon_Hbc zenon_H102 zenon_Hfe zenon_H177.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H11d | zenon_intro zenon_H232 ].
% 22.46/22.52 apply (zenon_L266_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H106 | zenon_intro zenon_H233 ].
% 22.46/22.52 apply (zenon_L285_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H160 | zenon_intro zenon_Hbb ].
% 22.46/22.52 apply (zenon_L104_); trivial.
% 22.46/22.52 apply (zenon_L178_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2097_ *)
% 22.46/22.52 assert (zenon_L2098_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H183 zenon_H177 zenon_Hfe zenon_Hbc zenon_H163 zenon_H4d zenon_H167 zenon_H1cb zenon_H231 zenon_Hac zenon_Ha9 zenon_H8a zenon_H104 zenon_H181.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.46/22.52 apply (zenon_L2097_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.46/22.52 apply (zenon_L371_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.46/22.52 apply (zenon_L231_); trivial.
% 22.46/22.52 exact (zenon_H181 zenon_H17c).
% 22.46/22.52 (* end of lemma zenon_L2098_ *)
% 22.46/22.52 assert (zenon_L2099_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e3)) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H164 zenon_H1e zenon_H33 zenon_H1bb zenon_H77 zenon_H68 zenon_Ha5 zenon_H9f zenon_H1c3 zenon_H1b7 zenon_Ha0 zenon_Hf6 zenon_H19a zenon_H183 zenon_H177 zenon_Hfe zenon_Hbc zenon_H163 zenon_H4d zenon_H1cb zenon_H231 zenon_Hac zenon_Ha9 zenon_H8a zenon_H104 zenon_H181.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.46/22.52 apply (zenon_L7_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.46/22.52 apply (zenon_L107_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.46/22.52 apply (zenon_L2096_); trivial.
% 22.46/22.52 apply (zenon_L2098_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2099_ *)
% 22.46/22.52 assert (zenon_L2100_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (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 (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H13a zenon_H195 zenon_H1a2 zenon_H1cd zenon_H117 zenon_H190 zenon_H1b3 zenon_H1a8 zenon_H55 zenon_H40 zenon_He4 zenon_H7d zenon_Hac zenon_H54 zenon_Hb6 zenon_Ha5 zenon_H5d zenon_H164 zenon_H1e zenon_H33 zenon_H1bb zenon_H77 zenon_H68 zenon_H1c3 zenon_H1b7 zenon_Ha0 zenon_H19a zenon_H183 zenon_H177 zenon_Hbc zenon_H163 zenon_H4d zenon_H1cb zenon_H231 zenon_H8a zenon_H104 zenon_H181 zenon_Hb2 zenon_Ha9 zenon_Hf6.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.46/22.52 apply (zenon_L151_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.46/22.52 apply (zenon_L2099_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.46/22.52 apply (zenon_L124_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.46/22.52 apply (zenon_L163_); trivial.
% 22.46/22.52 apply (zenon_L360_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.46/22.52 apply (zenon_L153_); trivial.
% 22.46/22.52 apply (zenon_L172_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.46/22.52 apply (zenon_L2083_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.46/22.52 apply (zenon_L2099_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.46/22.52 apply (zenon_L42_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.46/22.52 apply (zenon_L151_); trivial.
% 22.46/22.52 apply (zenon_L44_); trivial.
% 22.46/22.52 apply (zenon_L92_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2100_ *)
% 22.46/22.52 assert (zenon_L2101_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H1fe zenon_H131 zenon_H1b3 zenon_Hfa zenon_H48 zenon_H38 zenon_H4d zenon_H73 zenon_H139 zenon_H6c zenon_H77 zenon_H111 zenon_Hb2 zenon_Hb6 zenon_H5d zenon_Ha5 zenon_Ha0 zenon_H7d zenon_H15d zenon_H183 zenon_H68 zenon_Hac zenon_Ha9 zenon_H8a zenon_H104 zenon_H181.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.46/22.52 apply (zenon_L13_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.46/22.52 apply (zenon_L2082_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.46/22.52 apply (zenon_L184_); trivial.
% 22.46/22.52 apply (zenon_L246_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.46/22.52 apply (zenon_L2084_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.46/22.52 apply (zenon_L355_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.46/22.52 apply (zenon_L2082_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.46/22.52 apply (zenon_L184_); trivial.
% 22.46/22.52 apply (zenon_L246_); trivial.
% 22.46/22.52 apply (zenon_L1674_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2101_ *)
% 22.46/22.52 assert (zenon_L2102_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H19a zenon_H104 zenon_H8a zenon_H183 zenon_H15d zenon_H7d zenon_H5d zenon_Hb6 zenon_Hb2 zenon_H111 zenon_H6c zenon_H139 zenon_H73 zenon_H4d zenon_H48 zenon_Hfa zenon_H1b3 zenon_H131 zenon_H1fe zenon_Ha0 zenon_H1b7 zenon_Hac zenon_H181 zenon_H1c3 zenon_H9f zenon_Ha5 zenon_Ha9 zenon_H68 zenon_H77 zenon_H1bb zenon_H11d zenon_H1cb.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.46/22.52 apply (zenon_L2101_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.46/22.52 apply (zenon_L90_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.46/22.52 apply (zenon_L2095_); trivial.
% 22.46/22.52 apply (zenon_L266_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2102_ *)
% 22.46/22.52 assert (zenon_L2103_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e3)) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H164 zenon_H1e zenon_H33 zenon_H1bb zenon_H77 zenon_H68 zenon_Ha5 zenon_H9f zenon_H1c3 zenon_H1b7 zenon_Ha0 zenon_H1fe zenon_H131 zenon_H1b3 zenon_Hfa zenon_H48 zenon_H73 zenon_H139 zenon_H6c zenon_H111 zenon_Hb2 zenon_Hb6 zenon_H5d zenon_H7d zenon_H15d zenon_H19a zenon_H183 zenon_H177 zenon_Hfe zenon_Hbc zenon_H163 zenon_H4d zenon_H1cb zenon_H231 zenon_Hac zenon_Ha9 zenon_H8a zenon_H104 zenon_H181.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.46/22.52 apply (zenon_L7_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.46/22.52 apply (zenon_L107_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.46/22.52 apply (zenon_L2102_); trivial.
% 22.46/22.52 apply (zenon_L2098_); trivial.
% 22.46/22.52 (* end of lemma zenon_L2103_ *)
% 22.46/22.52 assert (zenon_L2104_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e3))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((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 (e3) (e3)) = (e2))) -> False).
% 22.46/22.52 do 0 intro. intros zenon_H82 zenon_H7a zenon_Hb6 zenon_H231 zenon_H1cb zenon_H4d zenon_H163 zenon_Hbc zenon_H177 zenon_H19a zenon_H15d zenon_Hb2 zenon_H111 zenon_H6c zenon_H139 zenon_H73 zenon_H48 zenon_Hfa zenon_H1b3 zenon_H131 zenon_H1fe zenon_Ha0 zenon_H1b7 zenon_H1c3 zenon_H68 zenon_H1bb zenon_H33 zenon_H1e zenon_H164 zenon_H5d zenon_Ha5 zenon_H7d zenon_He4 zenon_H40 zenon_H55 zenon_H1a8 zenon_H190 zenon_H117 zenon_H1cd zenon_H1a2 zenon_H195 zenon_H13a zenon_H183 zenon_H77 zenon_Hac zenon_Ha9 zenon_H8a zenon_H104 zenon_H181.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.46/22.52 apply (zenon_L13_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.46/22.52 apply (zenon_L13_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.46/22.52 exact (zenon_H7a zenon_H3c).
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.46/22.52 exact (zenon_H6c zenon_H67).
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.46/22.52 apply (zenon_L214_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.46/22.52 apply (zenon_L258_); trivial.
% 22.46/22.52 apply (zenon_L2100_); trivial.
% 22.46/22.52 apply (zenon_L2079_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.46/22.52 apply (zenon_L184_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.46/22.52 apply (zenon_L13_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.46/22.52 exact (zenon_H7a zenon_H3c).
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.46/22.52 apply (zenon_L151_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.46/22.52 apply (zenon_L2103_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.46/22.52 apply (zenon_L124_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.46/22.52 apply (zenon_L163_); trivial.
% 22.46/22.52 apply (zenon_L360_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.46/22.52 apply (zenon_L153_); trivial.
% 22.46/22.52 apply (zenon_L172_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.46/22.52 apply (zenon_L2083_); trivial.
% 22.46/22.52 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.46/22.52 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.48/22.53 apply (zenon_L2103_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.48/22.53 apply (zenon_L42_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.48/22.53 apply (zenon_L151_); trivial.
% 22.48/22.53 apply (zenon_L44_); trivial.
% 22.48/22.53 apply (zenon_L115_); trivial.
% 22.48/22.53 apply (zenon_L2079_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2104_ *)
% 22.48/22.53 assert (zenon_L2105_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (e1))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e1)) -> False).
% 22.48/22.53 do 0 intro. intros zenon_H169 zenon_H15d zenon_Hfa zenon_H131 zenon_H1fe zenon_H73 zenon_H7a zenon_H139 zenon_H117 zenon_H195 zenon_H164 zenon_H231 zenon_H177 zenon_Hbc zenon_H163 zenon_H104 zenon_H183 zenon_H68 zenon_Ha5 zenon_H1bb zenon_H1b7 zenon_H181 zenon_Ha9 zenon_H1c3 zenon_H1cb zenon_H19a zenon_Hac zenon_Ha0 zenon_H33 zenon_H190 zenon_H1cd zenon_H1a2 zenon_Hb6 zenon_He4 zenon_H1a8 zenon_H55 zenon_H40 zenon_Hb2 zenon_H7d zenon_H5d zenon_H13a zenon_H8a zenon_H111 zenon_H77 zenon_H6c zenon_H82 zenon_H48 zenon_H158 zenon_H11a zenon_H173 zenon_H277 zenon_Hcc zenon_H186 zenon_H192 zenon_H1c2 zenon_Hf5 zenon_H26d zenon_H1d8 zenon_H109 zenon_Heb zenon_H4e zenon_H2c zenon_H141 zenon_H20b zenon_H129 zenon_H20f zenon_H1c6 zenon_H25b zenon_H189 zenon_H156 zenon_H13f zenon_H1f1 zenon_H121 zenon_H179 zenon_H234 zenon_H18d zenon_H196 zenon_H1b4 zenon_H212 zenon_H18a zenon_H24e zenon_H1ef zenon_H125 zenon_H12e zenon_H271 zenon_H236 zenon_H4d.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.48/22.53 exact (zenon_H1d4 zenon_H4d).
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.48/22.53 apply (zenon_L2104_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.48/22.53 apply (zenon_L372_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.48/22.53 apply (zenon_L2081_); trivial.
% 22.48/22.53 apply (zenon_L2101_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2105_ *)
% 22.48/22.53 assert (zenon_L2106_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.48/22.53 do 0 intro. intros zenon_H139 zenon_H6c zenon_Ha0 zenon_Hbb zenon_H177 zenon_Ha9 zenon_H47 zenon_Hb6 zenon_H13a zenon_H8a zenon_H111 zenon_H38 zenon_H68.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.53 exact (zenon_H6c zenon_H67).
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.53 apply (zenon_L1362_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.53 apply (zenon_L258_); trivial.
% 22.48/22.53 apply (zenon_L165_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2106_ *)
% 22.48/22.53 assert (zenon_L2107_ : ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (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 (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> False).
% 22.48/22.53 do 0 intro. intros zenon_Hcc zenon_Heb zenon_Hf5 zenon_Hfa zenon_H158 zenon_H173 zenon_H48 zenon_H73 zenon_H139 zenon_H6c zenon_H68 zenon_Ha0 zenon_H177 zenon_Ha9 zenon_Hb6 zenon_H13a zenon_H15d zenon_H4e zenon_H186 zenon_H111 zenon_H77 zenon_H4d zenon_H104 zenon_Hbc zenon_H1cd zenon_Hbb zenon_H8a.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.48/22.53 apply (zenon_L2_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.48/22.53 apply (zenon_L2091_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.48/22.53 apply (zenon_L782_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.53 apply (zenon_L2106_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.53 apply (zenon_L2082_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.53 apply (zenon_L184_); trivial.
% 22.48/22.53 apply (zenon_L246_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.48/22.53 apply (zenon_L758_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.48/22.53 apply (zenon_L11_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.48/22.53 apply (zenon_L787_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.48/22.53 apply (zenon_L335_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.48/22.53 apply (zenon_L789_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.48/22.53 apply (zenon_L343_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.48/22.53 apply (zenon_L37_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.48/22.53 apply (zenon_L232_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.48/22.53 apply (zenon_L791_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.48/22.53 apply (zenon_L361_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.48/22.53 apply (zenon_L792_); trivial.
% 22.48/22.53 apply (zenon_L51_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2107_ *)
% 22.48/22.53 assert (zenon_L2108_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((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))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((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 (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (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) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((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))))) -> False).
% 22.48/22.53 do 0 intro. intros zenon_H139 zenon_Heb zenon_H77 zenon_H48 zenon_Hf5 zenon_Hfa zenon_H8a zenon_H111 zenon_H68 zenon_H6c zenon_H158 zenon_H173 zenon_H4d zenon_H183 zenon_H104 zenon_H163 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H24e zenon_H192 zenon_H12e zenon_H4e zenon_H186 zenon_H131 zenon_Ha9 zenon_H236 zenon_H271 zenon_H125 zenon_H1ef zenon_H18a zenon_H212 zenon_H1b4 zenon_H196 zenon_H18d zenon_H234 zenon_H179 zenon_H121 zenon_H1f1 zenon_H13f zenon_H156 zenon_H189 zenon_H25b zenon_H1c6 zenon_H20f zenon_H129 zenon_H20b zenon_H141 zenon_H2c zenon_H109 zenon_H1d8 zenon_H26d zenon_H1c2 zenon_Hcc zenon_H277 zenon_H11a zenon_H82 zenon_H13a zenon_H5d zenon_Hb2 zenon_H55 zenon_H1a8 zenon_He4 zenon_Hb6 zenon_H1a2 zenon_H190 zenon_H33 zenon_Ha0 zenon_H19a zenon_H1cb zenon_H1c3 zenon_H1bb zenon_Hbc zenon_H177 zenon_H231 zenon_H164 zenon_H195 zenon_H117 zenon_H73 zenon_H1fe zenon_H15d.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H181 | zenon_intro zenon_Hbb ].
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.48/22.53 apply (zenon_L2_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.48/22.53 apply (zenon_L2091_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.48/22.53 apply (zenon_L782_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.48/22.53 apply (zenon_L2094_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.48/22.53 apply (zenon_L758_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.48/22.53 apply (zenon_L11_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.48/22.53 apply (zenon_L787_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.48/22.53 apply (zenon_L335_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.48/22.53 apply (zenon_L789_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.48/22.53 apply (zenon_L88_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.48/22.53 apply (zenon_L37_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.48/22.53 apply (zenon_L232_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.48/22.53 apply (zenon_L2077_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.48/22.53 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.48/22.53 apply (zenon_L2105_); trivial.
% 22.48/22.53 apply (zenon_L2105_); trivial.
% 22.48/22.53 apply (zenon_L932_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.48/22.53 apply (zenon_L792_); trivial.
% 22.48/22.53 apply (zenon_L51_); trivial.
% 22.48/22.53 apply (zenon_L2107_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2108_ *)
% 22.48/22.53 assert (zenon_L2109_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((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 (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((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)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 22.48/22.53 do 0 intro. intros zenon_H231 zenon_H271 zenon_H177 zenon_H125 zenon_H1ef zenon_H1fe zenon_Hbc zenon_H212 zenon_H196 zenon_H195 zenon_H163 zenon_H18d zenon_H234 zenon_H33 zenon_H179 zenon_H121 zenon_He4 zenon_H1f1 zenon_H13f zenon_H117 zenon_H156 zenon_H189 zenon_H25b zenon_H1c6 zenon_H19a zenon_H20b zenon_H73 zenon_H164 zenon_H141 zenon_H2c zenon_H55 zenon_H4e zenon_H109 zenon_H1d8 zenon_H26d zenon_H186 zenon_H1a2 zenon_Hcc zenon_H277 zenon_H11a zenon_Hb2 zenon_H5d zenon_H82 zenon_H15d zenon_H1a8 zenon_H190 zenon_H1c3 zenon_H1c2 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H13a zenon_H131 zenon_H236 zenon_H23d zenon_H183 zenon_H104 zenon_H18a zenon_H1cb zenon_H1bb zenon_H192 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H24e zenon_H12e zenon_H139 zenon_Heb zenon_H77 zenon_H48 zenon_Hf5 zenon_Hfa zenon_H8a zenon_H111 zenon_H68 zenon_H6c zenon_H158 zenon_H173.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H4d ].
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H181 | zenon_intro zenon_Hbb ].
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.48/22.53 apply (zenon_L2_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.48/22.53 apply (zenon_L2070_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.48/22.53 apply (zenon_L782_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.48/22.53 apply (zenon_L2071_); trivial.
% 22.48/22.53 apply (zenon_L2071_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.48/22.53 apply (zenon_L2072_); trivial.
% 22.48/22.53 apply (zenon_L2072_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.48/22.53 apply (zenon_L2074_); trivial.
% 22.48/22.53 apply (zenon_L2074_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.48/22.53 apply (zenon_L11_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.48/22.53 apply (zenon_L787_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.48/22.53 apply (zenon_L2076_); trivial.
% 22.48/22.53 apply (zenon_L2076_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.48/22.53 apply (zenon_L789_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.48/22.53 apply (zenon_L88_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.48/22.53 apply (zenon_L37_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.48/22.53 apply (zenon_L232_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.48/22.53 apply (zenon_L2077_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.48/22.53 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.48/22.53 apply (zenon_L2086_); trivial.
% 22.48/22.53 apply (zenon_L2086_); trivial.
% 22.48/22.53 apply (zenon_L374_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.48/22.53 apply (zenon_L792_); trivial.
% 22.48/22.53 apply (zenon_L51_); trivial.
% 22.48/22.53 apply (zenon_L2089_); trivial.
% 22.48/22.53 apply (zenon_L2108_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2109_ *)
% 22.48/22.53 assert (zenon_L2110_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> False).
% 22.48/22.53 do 0 intro. intros zenon_H28 zenon_H10c zenon_H5c.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.48/22.53 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.48/22.53 apply (zenon_L1350_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2110_ *)
% 22.48/22.53 assert (zenon_L2111_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.53 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Ha9 zenon_H6e zenon_H31 zenon_H117 zenon_Ha0 zenon_H2d zenon_H10c zenon_Hf0 zenon_H191 zenon_H196.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.53 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.53 apply (zenon_L110_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.53 apply (zenon_L68_); trivial.
% 22.48/22.53 apply (zenon_L731_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2111_ *)
% 22.48/22.53 assert (zenon_L2112_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 22.48/22.53 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_H173 zenon_H10c zenon_Ha0 zenon_H31 zenon_Ha9 zenon_Hf6.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.53 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.53 apply (zenon_L120_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.53 apply (zenon_L68_); trivial.
% 22.48/22.53 apply (zenon_L92_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2112_ *)
% 22.48/22.53 assert (zenon_L2113_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 22.48/22.53 do 0 intro. intros zenon_H139 zenon_H77 zenon_H47 zenon_H196 zenon_H191 zenon_Hf0 zenon_H2d zenon_H117 zenon_H68 zenon_H13a zenon_Ha4 zenon_H173 zenon_H10c zenon_Ha0 zenon_H31 zenon_Ha9.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.53 apply (zenon_L251_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.53 apply (zenon_L2111_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.53 apply (zenon_L264_); trivial.
% 22.48/22.53 apply (zenon_L2112_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2113_ *)
% 22.48/22.53 assert (zenon_L2114_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.53 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H3d zenon_H31 zenon_H117 zenon_Ha0 zenon_H2d zenon_H10c zenon_Hf0 zenon_H191 zenon_H196.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.53 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.53 apply (zenon_L55_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.53 apply (zenon_L68_); trivial.
% 22.48/22.53 apply (zenon_L731_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2114_ *)
% 22.48/22.53 assert (zenon_L2115_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.53 do 0 intro. intros zenon_H15d zenon_Ha9 zenon_H173 zenon_H68 zenon_H77 zenon_H139 zenon_H196 zenon_H191 zenon_Hf0 zenon_H10c zenon_H2d zenon_Ha0 zenon_H117 zenon_Hb6 zenon_Ha4 zenon_H13a zenon_H48 zenon_H31 zenon_H5c zenon_Hf5.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.53 apply (zenon_L2113_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.53 apply (zenon_L2114_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.53 apply (zenon_L239_); trivial.
% 22.48/22.53 apply (zenon_L192_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2115_ *)
% 22.48/22.53 assert (zenon_L2116_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.53 do 0 intro. intros zenon_H117 zenon_Ha9 zenon_H65 zenon_Ha0 zenon_Hdd zenon_Hb6 zenon_H105 zenon_H9e zenon_H196.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.48/22.53 apply (zenon_L43_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.48/22.53 apply (zenon_L152_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.48/22.53 apply (zenon_L400_); trivial.
% 22.48/22.53 apply (zenon_L154_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2116_ *)
% 22.48/22.53 assert (zenon_L2117_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 22.48/22.53 do 0 intro. intros zenon_H13f zenon_H77 zenon_H7f zenon_H1f1 zenon_H196 zenon_H9e zenon_Hb6 zenon_Hdd zenon_Ha0 zenon_H65 zenon_Ha9 zenon_H117 zenon_H195 zenon_H5c.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.48/22.53 apply (zenon_L30_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.48/22.53 apply (zenon_L284_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.48/22.53 apply (zenon_L2116_); trivial.
% 22.48/22.53 apply (zenon_L149_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2117_ *)
% 22.48/22.53 assert (zenon_L2118_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.48/22.53 do 0 intro. intros zenon_H164 zenon_H68 zenon_H93 zenon_H48 zenon_H5c zenon_H9e zenon_Ha0 zenon_H19a zenon_H14c zenon_H104 zenon_H121 zenon_H11a zenon_H10c zenon_H1cd zenon_H160 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H1b7 zenon_H24e zenon_Hc4.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.48/22.53 apply (zenon_L851_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.48/22.53 apply (zenon_L724_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.48/22.53 apply (zenon_L257_); trivial.
% 22.48/22.53 apply (zenon_L561_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2118_ *)
% 22.48/22.53 assert (zenon_L2119_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 22.48/22.53 do 0 intro. intros zenon_H164 zenon_H1e zenon_H33 zenon_H1b7 zenon_H1cb zenon_H68 zenon_H93 zenon_H48 zenon_H5c zenon_H9e zenon_Ha0 zenon_H19a zenon_H212 zenon_H18a zenon_H7f zenon_H7d zenon_Hbc zenon_H160 zenon_H209.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.48/22.53 apply (zenon_L7_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.48/22.53 apply (zenon_L724_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.48/22.53 apply (zenon_L267_); trivial.
% 22.48/22.53 apply (zenon_L417_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2119_ *)
% 22.48/22.53 assert (zenon_L2120_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 22.48/22.53 do 0 intro. intros zenon_He4 zenon_H196 zenon_H177 zenon_H77 zenon_H139 zenon_H234 zenon_H104 zenon_H121 zenon_H11a zenon_H10c zenon_H1cd zenon_H24e zenon_Hc4 zenon_H2c zenon_H141 zenon_H164 zenon_H1e zenon_H33 zenon_H1b7 zenon_H1cb zenon_H68 zenon_H93 zenon_H48 zenon_H5c zenon_H9e zenon_Ha0 zenon_H19a zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H160 zenon_H209.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.48/22.53 apply (zenon_L215_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.48/22.53 apply (zenon_L484_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.48/22.53 apply (zenon_L5_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.48/22.53 apply (zenon_L111_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.48/22.53 apply (zenon_L2118_); trivial.
% 22.48/22.53 apply (zenon_L158_); trivial.
% 22.48/22.53 apply (zenon_L2119_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2120_ *)
% 22.48/22.53 assert (zenon_L2121_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (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 (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> False).
% 22.48/22.53 do 0 intro. intros zenon_H1cf zenon_H153 zenon_H4e zenon_H76 zenon_Ha9 zenon_Hdd zenon_H54 zenon_Hb6 zenon_H117 zenon_He4 zenon_H196 zenon_H177 zenon_H77 zenon_H139 zenon_H234 zenon_H104 zenon_H121 zenon_H11a zenon_H10c zenon_H1cd zenon_H24e zenon_Hc4 zenon_H2c zenon_H141 zenon_H164 zenon_H1e zenon_H33 zenon_H1b7 zenon_H1cb zenon_H68 zenon_H93 zenon_H48 zenon_H5c zenon_H9e zenon_Ha0 zenon_H19a zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.48/22.53 apply (zenon_L94_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.48/22.53 apply (zenon_L83_); trivial.
% 22.48/22.53 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.48/22.53 apply (zenon_L155_); trivial.
% 22.48/22.53 apply (zenon_L2120_); trivial.
% 22.48/22.53 (* end of lemma zenon_L2121_ *)
% 22.48/22.53 assert (zenon_L2122_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (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) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (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 (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H16a zenon_H195 zenon_H1f1 zenon_H7f zenon_H13f zenon_H1cf zenon_H153 zenon_H4e zenon_H76 zenon_Ha9 zenon_Hdd zenon_H54 zenon_Hb6 zenon_H117 zenon_He4 zenon_H196 zenon_H177 zenon_H77 zenon_H139 zenon_H234 zenon_H104 zenon_H121 zenon_H11a zenon_H10c zenon_H1cd zenon_H24e zenon_Hc4 zenon_H2c zenon_H141 zenon_H164 zenon_H1e zenon_H33 zenon_H1b7 zenon_H1cb zenon_H68 zenon_H48 zenon_H5c zenon_H9e zenon_Ha0 zenon_H19a zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.48/22.54 apply (zenon_L2117_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.48/22.54 apply (zenon_L54_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.48/22.54 apply (zenon_L155_); trivial.
% 22.48/22.54 apply (zenon_L2121_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2122_ *)
% 22.48/22.54 assert (zenon_L2123_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H13f zenon_Hb6 zenon_Ha8 zenon_H7f zenon_H1f1 zenon_H48 zenon_H14c zenon_H195 zenon_H5c.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.48/22.54 apply (zenon_L151_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.48/22.54 apply (zenon_L284_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.48/22.54 apply (zenon_L255_); trivial.
% 22.48/22.54 apply (zenon_L149_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2123_ *)
% 22.48/22.54 assert (zenon_L2124_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H117 zenon_H5c zenon_H195 zenon_H48 zenon_H1f1 zenon_H7f zenon_Hb6 zenon_H13f zenon_H10c zenon_Hf0 zenon_H14c zenon_Ha0 zenon_H9e zenon_H196.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.48/22.54 apply (zenon_L2123_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.48/22.54 apply (zenon_L74_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.48/22.54 apply (zenon_L278_); trivial.
% 22.48/22.54 apply (zenon_L154_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2124_ *)
% 22.48/22.54 assert (zenon_L2125_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (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) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_H6e zenon_H140 zenon_H1a3 zenon_H191 zenon_H153 zenon_H1a2 zenon_H196 zenon_Hf0 zenon_H10c zenon_H13f zenon_Hb6 zenon_H7f zenon_H1f1 zenon_H195 zenon_H117 zenon_H1c3 zenon_Ha9 zenon_H77 zenon_H1cb zenon_H68 zenon_H48 zenon_H5c zenon_Ha0 zenon_H19a zenon_H102 zenon_H18a.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.54 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.54 apply (zenon_L110_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.54 apply (zenon_L95_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.48/22.54 apply (zenon_L239_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.48/22.54 apply (zenon_L1265_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.48/22.54 apply (zenon_L2124_); trivial.
% 22.48/22.54 apply (zenon_L269_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2125_ *)
% 22.48/22.54 assert (zenon_L2126_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H117 zenon_H109 zenon_H9d zenon_Ha0 zenon_Hdd zenon_H8a zenon_Ha9 zenon_H9e zenon_H196.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.48/22.54 apply (zenon_L73_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.48/22.54 apply (zenon_L152_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.48/22.54 apply (zenon_L153_); trivial.
% 22.48/22.54 apply (zenon_L154_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2126_ *)
% 22.48/22.54 assert (zenon_L2127_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H139 zenon_H77 zenon_H47 zenon_H191 zenon_Hf0 zenon_H10c zenon_H2d zenon_Ha0 zenon_H117 zenon_Ha9 zenon_Ha4 zenon_H13a zenon_H68 zenon_H31 zenon_H93 zenon_H196.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.54 apply (zenon_L251_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.54 apply (zenon_L2111_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.54 apply (zenon_L264_); trivial.
% 22.48/22.54 apply (zenon_L167_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2127_ *)
% 22.48/22.54 assert (zenon_L2128_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H15d zenon_H1e zenon_H7f zenon_H192 zenon_H48 zenon_H31 zenon_H5c zenon_Hf5.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.54 apply (zenon_L13_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.54 apply (zenon_L146_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.54 apply (zenon_L239_); trivial.
% 22.48/22.54 apply (zenon_L192_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2128_ *)
% 22.48/22.54 assert (zenon_L2129_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_Hb2 zenon_Ha4 zenon_Ha0 zenon_H25 zenon_H1ef zenon_H110 zenon_H209.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.48/22.54 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.54 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.48/22.54 apply (zenon_L116_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.48/22.54 apply (zenon_L282_); trivial.
% 22.48/22.54 exact (zenon_H209 zenon_H9d).
% 22.48/22.54 (* end of lemma zenon_L2129_ *)
% 22.48/22.54 assert (zenon_L2130_ : (((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 (e2) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H266 zenon_H2d zenon_H55 zenon_H105 zenon_H6f zenon_H6e zenon_H110 zenon_H190.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_Hdd | zenon_intro zenon_H267 ].
% 22.48/22.54 apply (zenon_L702_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H53 | zenon_intro zenon_H268 ].
% 22.48/22.54 apply (zenon_L143_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H6d | zenon_intro zenon_H10d ].
% 22.48/22.54 apply (zenon_L21_); trivial.
% 22.48/22.54 apply (zenon_L163_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2130_ *)
% 22.48/22.54 assert (zenon_L2131_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((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 (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H13f zenon_H48 zenon_H7f zenon_H1f1 zenon_H190 zenon_H110 zenon_H6e zenon_H6f zenon_H55 zenon_H2d zenon_H266 zenon_H195 zenon_H5c.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.48/22.54 apply (zenon_L217_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.48/22.54 apply (zenon_L284_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.48/22.54 apply (zenon_L2130_); trivial.
% 22.48/22.54 apply (zenon_L149_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2131_ *)
% 22.48/22.54 assert (zenon_L2132_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H1fe zenon_H209 zenon_H1ef zenon_Ha0 zenon_Ha4 zenon_Hb2 zenon_Hf5 zenon_H31 zenon_H192 zenon_H139 zenon_H195 zenon_H266 zenon_H55 zenon_H6f zenon_H110 zenon_H190 zenon_H1f1 zenon_H13f zenon_H196 zenon_H15d zenon_H19a zenon_H1b7 zenon_H7f zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H18a.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.54 apply (zenon_L2128_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.48/22.54 apply (zenon_L2129_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.54 apply (zenon_L251_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.54 apply (zenon_L2131_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.54 apply (zenon_L264_); trivial.
% 22.48/22.54 apply (zenon_L167_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.54 apply (zenon_L146_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.54 apply (zenon_L239_); trivial.
% 22.48/22.54 apply (zenon_L192_); trivial.
% 22.48/22.54 apply (zenon_L1343_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2132_ *)
% 22.48/22.54 assert (zenon_L2133_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H15d zenon_H177 zenon_H196 zenon_H93 zenon_H77 zenon_H13a zenon_Ha4 zenon_Ha9 zenon_Hb6 zenon_He4 zenon_H234 zenon_H110 zenon_H2c zenon_H141 zenon_H164 zenon_H1e zenon_H33 zenon_H1b7 zenon_H1cb zenon_H68 zenon_H48 zenon_Ha0 zenon_H19a zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H160 zenon_H209 zenon_H139 zenon_H5c zenon_Hf5.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.54 apply (zenon_L13_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.54 apply (zenon_L215_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.54 apply (zenon_L20_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.54 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.54 apply (zenon_L110_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.54 apply (zenon_L95_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.48/22.54 apply (zenon_L214_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.48/22.54 apply (zenon_L484_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.48/22.54 apply (zenon_L858_); trivial.
% 22.48/22.54 apply (zenon_L2119_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.54 apply (zenon_L94_); trivial.
% 22.48/22.54 apply (zenon_L167_); trivial.
% 22.48/22.54 apply (zenon_L192_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2133_ *)
% 22.48/22.54 assert (zenon_L2134_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_Hfa zenon_Hf5 zenon_H139 zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H19a zenon_Ha0 zenon_H48 zenon_H1cb zenon_H1b7 zenon_H33 zenon_H1e zenon_H164 zenon_H141 zenon_H2c zenon_H110 zenon_H234 zenon_He4 zenon_Hb6 zenon_Ha9 zenon_Ha4 zenon_H13a zenon_H93 zenon_H196 zenon_H177 zenon_H15d zenon_H4e zenon_H153 zenon_H1cf zenon_H6e zenon_H173 zenon_Hf3 zenon_H68 zenon_H5c zenon_H77.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.48/22.54 apply (zenon_L94_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.48/22.54 apply (zenon_L83_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.48/22.54 apply (zenon_L153_); trivial.
% 22.48/22.54 apply (zenon_L2133_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.48/22.54 apply (zenon_L226_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.48/22.54 apply (zenon_L62_); trivial.
% 22.48/22.54 apply (zenon_L206_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2134_ *)
% 22.48/22.54 assert (zenon_L2135_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e1)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H196 zenon_H93 zenon_H77 zenon_H140 zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H7f zenon_H13f zenon_H1f1 zenon_H190 zenon_H6f zenon_H55 zenon_H266 zenon_H195 zenon_H192 zenon_Hb2 zenon_H1ef zenon_H1fe zenon_H173 zenon_H1cf zenon_H4e zenon_H15d zenon_H177 zenon_H13a zenon_Ha4 zenon_Ha9 zenon_Hb6 zenon_He4 zenon_H234 zenon_H2c zenon_H141 zenon_H164 zenon_H1e zenon_H33 zenon_H1b7 zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H139 zenon_Hfa zenon_H110 zenon_H19a zenon_Ha0 zenon_H48 zenon_H68 zenon_H1cb zenon_H5c zenon_Hf5.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.54 apply (zenon_L13_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.54 apply (zenon_L146_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.54 apply (zenon_L20_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.54 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.54 apply (zenon_L110_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.54 apply (zenon_L95_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.48/22.54 apply (zenon_L2132_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.48/22.54 apply (zenon_L2134_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.48/22.54 apply (zenon_L278_); trivial.
% 22.48/22.54 apply (zenon_L267_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.54 apply (zenon_L94_); trivial.
% 22.48/22.54 apply (zenon_L167_); trivial.
% 22.48/22.54 apply (zenon_L192_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2135_ *)
% 22.48/22.54 assert (zenon_L2136_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H139 zenon_H1e zenon_H68 zenon_H2a zenon_H153 zenon_H77 zenon_H93 zenon_H196.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.54 apply (zenon_L20_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.54 apply (zenon_L147_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.54 apply (zenon_L94_); trivial.
% 22.48/22.54 apply (zenon_L167_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2136_ *)
% 22.48/22.54 assert (zenon_L2137_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H15d zenon_H48 zenon_H196 zenon_H93 zenon_H77 zenon_H2a zenon_H68 zenon_H1e zenon_H139 zenon_H5c zenon_Hf5.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.54 apply (zenon_L13_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.54 apply (zenon_L65_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.54 apply (zenon_L2136_); trivial.
% 22.48/22.54 apply (zenon_L192_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2137_ *)
% 22.48/22.54 assert (zenon_L2138_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((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 (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H13f zenon_H48 zenon_H7f zenon_H1f1 zenon_H190 zenon_H110 zenon_Hef zenon_Hf0 zenon_H55 zenon_H2d zenon_H266 zenon_H195 zenon_H5c.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.48/22.54 apply (zenon_L217_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.48/22.54 apply (zenon_L284_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.48/22.54 apply (zenon_L1896_); trivial.
% 22.48/22.54 apply (zenon_L149_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2138_ *)
% 22.48/22.54 assert (zenon_L2139_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (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 (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (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 (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (((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 (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H1fe zenon_Hf5 zenon_H139 zenon_H196 zenon_H15d zenon_H209 zenon_H1ef zenon_Ha0 zenon_Ha4 zenon_Hb2 zenon_H189 zenon_H13f zenon_H1f1 zenon_H190 zenon_H110 zenon_Hf0 zenon_H55 zenon_H266 zenon_H195 zenon_H2a zenon_H1a8 zenon_H19a zenon_H1b7 zenon_H7f zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H18a.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.54 apply (zenon_L2137_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.48/22.54 apply (zenon_L2129_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.48/22.54 apply (zenon_L147_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.48/22.54 apply (zenon_L2138_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.48/22.54 apply (zenon_L439_); trivial.
% 22.48/22.54 apply (zenon_L169_); trivial.
% 22.48/22.54 apply (zenon_L1343_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2139_ *)
% 22.48/22.54 assert (zenon_L2140_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((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 (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (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 (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H236 zenon_H1cb zenon_Hfa zenon_Hbc zenon_H7d zenon_H212 zenon_H33 zenon_H164 zenon_H141 zenon_H2c zenon_H234 zenon_He4 zenon_Hb6 zenon_Ha9 zenon_H13a zenon_H177 zenon_H4e zenon_H1cf zenon_H173 zenon_H140 zenon_H1a8 zenon_Hf0 zenon_H189 zenon_H18a zenon_H68 zenon_H5c zenon_H7f zenon_H19a zenon_H15d zenon_H196 zenon_H13f zenon_H1f1 zenon_H190 zenon_H110 zenon_H6f zenon_H55 zenon_H266 zenon_H195 zenon_H139 zenon_H192 zenon_Hf5 zenon_Hb2 zenon_Ha4 zenon_Ha0 zenon_H1ef zenon_H209 zenon_H1fe zenon_H61 zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H93 zenon_H77 zenon_H1b7.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.48/22.54 apply (zenon_L2135_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.48/22.54 apply (zenon_L2139_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.48/22.54 apply (zenon_L2132_); trivial.
% 22.48/22.54 apply (zenon_L1717_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2140_ *)
% 22.48/22.54 assert (zenon_L2141_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (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)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H117 zenon_H2d zenon_H10c zenon_H1b7 zenon_H77 zenon_H93 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H61 zenon_H1fe zenon_H209 zenon_H1ef zenon_Ha0 zenon_Ha4 zenon_Hb2 zenon_Hf5 zenon_H192 zenon_H139 zenon_H195 zenon_H266 zenon_H55 zenon_H6f zenon_H190 zenon_H1f1 zenon_H13f zenon_H15d zenon_H19a zenon_H7f zenon_H5c zenon_H68 zenon_H18a zenon_H189 zenon_Hf0 zenon_H1a8 zenon_H140 zenon_H173 zenon_H1cf zenon_H4e zenon_H177 zenon_H13a zenon_Ha9 zenon_Hb6 zenon_He4 zenon_H234 zenon_H2c zenon_H141 zenon_H164 zenon_H33 zenon_H212 zenon_H7d zenon_Hbc zenon_Hfa zenon_H1cb zenon_H236 zenon_H9e zenon_H196.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.48/22.54 apply (zenon_L67_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.48/22.54 apply (zenon_L74_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.48/22.54 apply (zenon_L2140_); trivial.
% 22.48/22.54 apply (zenon_L154_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2141_ *)
% 22.48/22.54 assert (zenon_L2142_ : ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (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)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H6e zenon_H11a zenon_H121 zenon_H117 zenon_H2d zenon_H10c zenon_H1b7 zenon_H77 zenon_H93 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H48 zenon_H18d zenon_H61 zenon_H1fe zenon_H209 zenon_H1ef zenon_Ha0 zenon_Ha4 zenon_Hb2 zenon_Hf5 zenon_H192 zenon_H139 zenon_H195 zenon_H266 zenon_H55 zenon_H6f zenon_H190 zenon_H1f1 zenon_H13f zenon_H15d zenon_H19a zenon_H7f zenon_H5c zenon_H68 zenon_H18a zenon_H189 zenon_Hf0 zenon_H1a8 zenon_H140 zenon_H173 zenon_H1cf zenon_H4e zenon_H177 zenon_H13a zenon_Ha9 zenon_Hb6 zenon_He4 zenon_H234 zenon_H2c zenon_H141 zenon_H164 zenon_H33 zenon_H212 zenon_H7d zenon_Hbc zenon_Hfa zenon_H1cb zenon_H236 zenon_H196.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.54 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.54 apply (zenon_L110_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.54 apply (zenon_L393_); trivial.
% 22.48/22.54 apply (zenon_L2141_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2142_ *)
% 22.48/22.54 assert (zenon_L2143_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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) (e1)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((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)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H236 zenon_Hfa zenon_H13a zenon_H173 zenon_H140 zenon_H1a8 zenon_H189 zenon_H15d zenon_H190 zenon_H6f zenon_H55 zenon_H266 zenon_H192 zenon_Hf5 zenon_Hb2 zenon_Ha4 zenon_H1ef zenon_H1fe zenon_H61 zenon_H18d zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H6e zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H19a zenon_H1cb zenon_H1b7 zenon_H33 zenon_H1e zenon_H164 zenon_H141 zenon_H2c zenon_Hc4 zenon_H24e zenon_H1cd zenon_H11a zenon_H121 zenon_H104 zenon_H234 zenon_H139 zenon_H77 zenon_H177 zenon_He4 zenon_H54 zenon_Ha9 zenon_H76 zenon_H4e zenon_H153 zenon_H1cf zenon_H196 zenon_H9e zenon_Ha0 zenon_Hf0 zenon_H10c zenon_H13f zenon_Hb6 zenon_H7f zenon_H1f1 zenon_H48 zenon_H195 zenon_H5c zenon_H117 zenon_H68 zenon_H93.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.48/22.54 apply (zenon_L2142_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.48/22.54 apply (zenon_L2121_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.48/22.54 apply (zenon_L2124_); trivial.
% 22.48/22.54 apply (zenon_L158_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2143_ *)
% 22.48/22.54 assert (zenon_L2144_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (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) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H140 zenon_H153 zenon_H72 zenon_H196 zenon_Hf0 zenon_H10c zenon_H13f zenon_Hb6 zenon_H7f zenon_H1f1 zenon_H195 zenon_H117 zenon_H1c3 zenon_Ha9 zenon_H77 zenon_H1cb zenon_H68 zenon_H48 zenon_H5c zenon_H9e zenon_Ha0 zenon_H19a zenon_H102 zenon_H18a.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.48/22.54 apply (zenon_L239_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.48/22.54 apply (zenon_L62_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.48/22.54 apply (zenon_L2124_); trivial.
% 22.48/22.54 apply (zenon_L269_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2144_ *)
% 22.48/22.54 assert (zenon_L2145_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (((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))) -> (~((e0) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.54 do 0 intro. intros zenon_H1cf zenon_H4e zenon_H54 zenon_He4 zenon_H177 zenon_H139 zenon_H234 zenon_H104 zenon_H121 zenon_H11a zenon_H1cd zenon_H24e zenon_Hc4 zenon_H2c zenon_H141 zenon_H164 zenon_H1e zenon_H33 zenon_H1b7 zenon_H212 zenon_H7d zenon_Hbc zenon_H209 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_H18d zenon_H61 zenon_H1fe zenon_H1ef zenon_Ha4 zenon_Hb2 zenon_Hf5 zenon_H192 zenon_H266 zenon_H55 zenon_H6f zenon_H190 zenon_H15d zenon_H189 zenon_H1a8 zenon_H13a zenon_Hfa zenon_H236 zenon_H6e zenon_H173 zenon_H18a zenon_H102 zenon_H19a zenon_Ha0 zenon_H9e zenon_H5c zenon_H48 zenon_H68 zenon_H1cb zenon_H77 zenon_Ha9 zenon_H1c3 zenon_H117 zenon_H1f1 zenon_H7f zenon_Hb6 zenon_H13f zenon_H10c zenon_Hf0 zenon_H196 zenon_H153 zenon_H140 zenon_H93 zenon_H195.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.48/22.54 apply (zenon_L2143_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.48/22.54 apply (zenon_L226_); trivial.
% 22.48/22.54 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.48/22.54 apply (zenon_L2144_); trivial.
% 22.48/22.54 apply (zenon_L228_); trivial.
% 22.48/22.54 (* end of lemma zenon_L2145_ *)
% 22.48/22.54 assert (zenon_L2146_ : ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (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 (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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 (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H7f zenon_H7d zenon_H195 zenon_H140 zenon_Hf0 zenon_H10c zenon_H13f zenon_Hb6 zenon_H1f1 zenon_H117 zenon_H1c3 zenon_Ha9 zenon_H1cb zenon_H68 zenon_H48 zenon_Ha0 zenon_H19a zenon_H18a zenon_H173 zenon_H236 zenon_Hfa zenon_H13a zenon_H1a8 zenon_H189 zenon_H15d zenon_H190 zenon_H6f zenon_H55 zenon_H266 zenon_H192 zenon_Hb2 zenon_Ha4 zenon_H1ef zenon_H1fe zenon_H61 zenon_H18d zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H209 zenon_Hbc zenon_H212 zenon_H1b7 zenon_H33 zenon_H1e zenon_H164 zenon_H141 zenon_H2c zenon_Hc4 zenon_H24e zenon_H1cd zenon_H11a zenon_H121 zenon_H104 zenon_H234 zenon_H139 zenon_H177 zenon_He4 zenon_H4e zenon_H1cf zenon_H125 zenon_H77 zenon_H93 zenon_H196 zenon_H5d zenon_H82 zenon_H5c zenon_Hf5.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_L13_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_L146_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.48/22.55 apply (zenon_L13_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.48/22.55 apply (zenon_L17_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.55 apply (zenon_L20_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.48/22.55 apply (zenon_L20_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.55 apply (zenon_L120_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.55 apply (zenon_L393_); trivial.
% 22.48/22.55 apply (zenon_L2143_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.48/22.55 apply (zenon_L30_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.55 apply (zenon_L110_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.55 apply (zenon_L95_); trivial.
% 22.48/22.55 apply (zenon_L2145_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.55 apply (zenon_L94_); trivial.
% 22.48/22.55 apply (zenon_L167_); trivial.
% 22.48/22.55 apply (zenon_L31_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2146_ *)
% 22.48/22.55 assert (zenon_L2147_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H1a2 zenon_H31 zenon_Ha9 zenon_H72 zenon_Hb6 zenon_H105 zenon_H164 zenon_H25 zenon_H179 zenon_H1b7 zenon_H68 zenon_H93 zenon_H48 zenon_H5c zenon_H9e zenon_H19a zenon_Ha0 zenon_H47 zenon_H102.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.48/22.55 apply (zenon_L68_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.48/22.55 apply (zenon_L436_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.48/22.55 apply (zenon_L400_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.48/22.55 apply (zenon_L297_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.48/22.55 apply (zenon_L724_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.48/22.55 apply (zenon_L80_); trivial.
% 22.48/22.55 apply (zenon_L1991_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2147_ *)
% 22.48/22.55 assert (zenon_L2148_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_Hfa zenon_H6e zenon_H173 zenon_H5c zenon_H1a2 zenon_H31 zenon_Ha9 zenon_Hb6 zenon_H164 zenon_H25 zenon_H179 zenon_H1b7 zenon_H68 zenon_H48 zenon_H9e zenon_H19a zenon_Ha0 zenon_H47 zenon_H102 zenon_H1f1 zenon_H7f zenon_Ha8 zenon_H13f zenon_H93 zenon_H195.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.48/22.55 apply (zenon_L171_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.48/22.55 apply (zenon_L226_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.48/22.55 apply (zenon_L151_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.48/22.55 apply (zenon_L284_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.48/22.55 apply (zenon_L2147_); trivial.
% 22.48/22.55 apply (zenon_L149_); trivial.
% 22.48/22.55 apply (zenon_L228_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2148_ *)
% 22.48/22.55 assert (zenon_L2149_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (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) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H139 zenon_H209 zenon_Hfa zenon_H173 zenon_H5c zenon_H1a2 zenon_Ha9 zenon_Hb6 zenon_H164 zenon_H25 zenon_H179 zenon_H1b7 zenon_H48 zenon_H19a zenon_Ha0 zenon_H47 zenon_H1f1 zenon_H7f zenon_H13f zenon_H195 zenon_Ha4 zenon_Hb2 zenon_H13a zenon_H94 zenon_H77 zenon_H125 zenon_H68 zenon_H31 zenon_H93 zenon_H196.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.55 apply (zenon_L251_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.48/22.55 apply (zenon_L251_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.48/22.55 apply (zenon_L171_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.48/22.55 apply (zenon_L38_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.55 apply (zenon_L110_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.55 apply (zenon_L68_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.48/22.55 apply (zenon_L116_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.48/22.55 apply (zenon_L2148_); trivial.
% 22.48/22.55 exact (zenon_H209 zenon_H9d).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.55 apply (zenon_L264_); trivial.
% 22.48/22.55 apply (zenon_L167_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2149_ *)
% 22.48/22.55 assert (zenon_L2150_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H139 zenon_H47 zenon_H68 zenon_H2a zenon_H153 zenon_H77 zenon_H93 zenon_H196.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.55 apply (zenon_L251_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.55 apply (zenon_L147_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.55 apply (zenon_L94_); trivial.
% 22.48/22.55 apply (zenon_L167_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2150_ *)
% 22.48/22.55 assert (zenon_L2151_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_Hb2 zenon_Ha4 zenon_Ha0 zenon_H25 zenon_Hb6 zenon_H54 zenon_H209.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.48/22.55 apply (zenon_L116_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.48/22.55 apply (zenon_L151_); trivial.
% 22.48/22.55 exact (zenon_H209 zenon_H9d).
% 22.48/22.55 (* end of lemma zenon_L2151_ *)
% 22.48/22.55 assert (zenon_L2152_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H164 zenon_H18a zenon_H2a zenon_H192 zenon_H1cb zenon_H68 zenon_H93 zenon_H48 zenon_H5c zenon_H9e zenon_Ha0 zenon_H19a zenon_H67 zenon_H7e.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.48/22.55 apply (zenon_L851_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.48/22.55 apply (zenon_L292_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.48/22.55 apply (zenon_L267_); trivial.
% 22.48/22.55 apply (zenon_L547_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2152_ *)
% 22.48/22.55 assert (zenon_L2153_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (((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 (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H139 zenon_H7e zenon_H19a zenon_Ha0 zenon_H5c zenon_H48 zenon_H1cb zenon_H192 zenon_H18a zenon_H164 zenon_Hb6 zenon_Ha4 zenon_H13a zenon_H68 zenon_H2a zenon_H153 zenon_H77 zenon_H93 zenon_H196.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.55 apply (zenon_L53_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.55 apply (zenon_L95_); trivial.
% 22.48/22.55 apply (zenon_L2152_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.55 apply (zenon_L147_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.55 apply (zenon_L94_); trivial.
% 22.48/22.55 apply (zenon_L167_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2153_ *)
% 22.48/22.55 assert (zenon_L2154_ : (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((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 (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e1) (e1)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H19d zenon_H125 zenon_H94 zenon_H179 zenon_H1a2 zenon_H1c3 zenon_H1d5 zenon_Hf5 zenon_H82 zenon_H5d zenon_H139 zenon_Ha0 zenon_H1cb zenon_H192 zenon_H164 zenon_Hb6 zenon_Ha4 zenon_H13a zenon_H2a zenon_H196 zenon_H121 zenon_H11a zenon_H236 zenon_Hfa zenon_Hbc zenon_H7d zenon_H212 zenon_H33 zenon_H141 zenon_H2c zenon_H234 zenon_He4 zenon_Ha9 zenon_H177 zenon_H4e zenon_H1cf zenon_H173 zenon_H140 zenon_H1a8 zenon_Hf0 zenon_H189 zenon_H15d zenon_H13f zenon_H1f1 zenon_H190 zenon_H6f zenon_H55 zenon_H266 zenon_H195 zenon_Hb2 zenon_H1ef zenon_H209 zenon_H1fe zenon_H61 zenon_H10c zenon_H117 zenon_H19a zenon_H1b7 zenon_H7f zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H18a.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.55 apply (zenon_L161_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.55 apply (zenon_L251_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.55 apply (zenon_L147_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.48/22.55 apply (zenon_L252_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.48/22.55 apply (zenon_L171_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.48/22.55 apply (zenon_L38_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.55 apply (zenon_L53_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.55 apply (zenon_L193_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.48/22.55 apply (zenon_L116_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.48/22.55 apply (zenon_L2149_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.48/22.55 apply (zenon_L274_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.48/22.55 apply (zenon_L2123_); trivial.
% 22.48/22.55 apply (zenon_L269_); trivial.
% 22.48/22.55 exact (zenon_H209 zenon_H9d).
% 22.48/22.55 apply (zenon_L167_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_L146_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.48/22.55 apply (zenon_L2150_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.48/22.55 apply (zenon_L25_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.48/22.55 apply (zenon_L2151_); trivial.
% 22.48/22.55 apply (zenon_L2153_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.55 apply (zenon_L251_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.55 apply (zenon_L2142_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.55 apply (zenon_L120_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.55 apply (zenon_L193_); trivial.
% 22.48/22.55 apply (zenon_L2141_); trivial.
% 22.48/22.55 apply (zenon_L167_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_L65_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.48/22.55 apply (zenon_L2150_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.48/22.55 apply (zenon_L17_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.48/22.55 apply (zenon_L217_); trivial.
% 22.48/22.55 apply (zenon_L2153_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 apply (zenon_L1343_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2154_ *)
% 22.48/22.55 assert (zenon_L2155_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((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)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H15d zenon_H196 zenon_H93 zenon_H68 zenon_H125 zenon_H77 zenon_H94 zenon_H13a zenon_Hb2 zenon_Ha4 zenon_H195 zenon_H13f zenon_H1f1 zenon_Ha0 zenon_H19a zenon_H1b7 zenon_H179 zenon_H25 zenon_H164 zenon_Hb6 zenon_Ha9 zenon_H1a2 zenon_H173 zenon_Hfa zenon_H209 zenon_H139 zenon_H7f zenon_H192 zenon_H48 zenon_H31 zenon_H5c zenon_Hf5.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_L2149_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_L146_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_L239_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2155_ *)
% 22.48/22.55 assert (zenon_L2156_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (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) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H196 zenon_H93 zenon_H68 zenon_H11a zenon_H121 zenon_H117 zenon_H2d zenon_H10c zenon_H1b7 zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H61 zenon_H1fe zenon_H209 zenon_H1ef zenon_Ha0 zenon_Ha4 zenon_Hb2 zenon_H139 zenon_H195 zenon_H266 zenon_H55 zenon_H6f zenon_H190 zenon_H1f1 zenon_H13f zenon_H15d zenon_H19a zenon_H18a zenon_H189 zenon_Hf0 zenon_H1a8 zenon_H140 zenon_H173 zenon_H1cf zenon_H4e zenon_H177 zenon_H13a zenon_Ha9 zenon_Hb6 zenon_He4 zenon_H234 zenon_H2c zenon_H141 zenon_H164 zenon_H33 zenon_H212 zenon_H7d zenon_Hbc zenon_Hfa zenon_H1cb zenon_H236 zenon_H7f zenon_H192 zenon_H48 zenon_H31 zenon_H5c zenon_Hf5.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.55 apply (zenon_L251_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.55 apply (zenon_L2142_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.55 apply (zenon_L264_); trivial.
% 22.48/22.55 apply (zenon_L167_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_L146_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_L239_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2156_ *)
% 22.48/22.55 assert (zenon_L2157_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((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 (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e1) (e1)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H1a2 zenon_H179 zenon_H94 zenon_H125 zenon_Hf5 zenon_H31 zenon_H192 zenon_H236 zenon_H1cb zenon_Hfa zenon_Hbc zenon_H7d zenon_H212 zenon_H33 zenon_H164 zenon_H141 zenon_H2c zenon_H234 zenon_He4 zenon_Hb6 zenon_Ha9 zenon_H13a zenon_H177 zenon_H4e zenon_H1cf zenon_H173 zenon_H140 zenon_H1a8 zenon_Hf0 zenon_H189 zenon_H15d zenon_H13f zenon_H1f1 zenon_H190 zenon_H6f zenon_H55 zenon_H266 zenon_H195 zenon_H139 zenon_Hb2 zenon_Ha4 zenon_Ha0 zenon_H1ef zenon_H209 zenon_H1fe zenon_H61 zenon_H10c zenon_H117 zenon_H121 zenon_H11a zenon_H196 zenon_H19a zenon_H1b7 zenon_H7f zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H18a.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.55 apply (zenon_L2128_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.48/22.55 apply (zenon_L2155_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.48/22.55 apply (zenon_L2156_); trivial.
% 22.48/22.55 apply (zenon_L1343_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2157_ *)
% 22.48/22.55 assert (zenon_L2158_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (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) (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) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (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)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H104 zenon_H1cd zenon_H24e zenon_H5d zenon_H82 zenon_H1d5 zenon_H1c3 zenon_H19d zenon_H18a zenon_H93 zenon_H5c zenon_H18d zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H7f zenon_H1b7 zenon_H19a zenon_H196 zenon_H117 zenon_H61 zenon_H1fe zenon_H1ef zenon_Ha4 zenon_Hb2 zenon_H195 zenon_H266 zenon_H55 zenon_H6f zenon_H190 zenon_H1f1 zenon_H13f zenon_H189 zenon_Hf0 zenon_H1a8 zenon_H140 zenon_H1cf zenon_H4e zenon_He4 zenon_H234 zenon_H2c zenon_H141 zenon_H164 zenon_H212 zenon_H7d zenon_Hbc zenon_Hfa zenon_H1cb zenon_H236 zenon_H192 zenon_Hf5 zenon_H125 zenon_H94 zenon_H179 zenon_H1a2 zenon_H15d zenon_H68 zenon_Ha9 zenon_H77 zenon_H139 zenon_H209 zenon_H177 zenon_Ha0 zenon_Hb6 zenon_H10c zenon_H173 zenon_H121 zenon_H33 zenon_H11a zenon_H1a3 zenon_Hc4 zenon_H13a zenon_H48.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.48/22.55 apply (zenon_L2146_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.48/22.55 apply (zenon_L2154_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.48/22.55 apply (zenon_L2157_); trivial.
% 22.48/22.55 apply (zenon_L1253_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2158_ *)
% 22.48/22.55 assert (zenon_L2159_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (((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) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Ha9 zenon_H6e zenon_Hb6 zenon_H153 zenon_H19a zenon_Ha0 zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H162.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.55 apply (zenon_L110_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.55 apply (zenon_L95_); trivial.
% 22.48/22.55 apply (zenon_L159_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2159_ *)
% 22.48/22.55 assert (zenon_L2160_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H139 zenon_H1e zenon_H162 zenon_H68 zenon_H48 zenon_H5c zenon_Ha0 zenon_H19a zenon_Hb6 zenon_Ha9 zenon_Ha4 zenon_H13a zenon_H153 zenon_H77 zenon_H93 zenon_H196.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.55 apply (zenon_L20_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.55 apply (zenon_L2159_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.55 apply (zenon_L94_); trivial.
% 22.48/22.55 apply (zenon_L167_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2160_ *)
% 22.48/22.55 assert (zenon_L2161_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H15d zenon_H7f zenon_H192 zenon_H196 zenon_H93 zenon_H77 zenon_H13a zenon_Ha4 zenon_Ha9 zenon_Hb6 zenon_H19a zenon_Ha0 zenon_H48 zenon_H68 zenon_H162 zenon_H1e zenon_H139 zenon_H5c zenon_Hf5.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_L13_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_L146_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_L2160_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2161_ *)
% 22.48/22.55 assert (zenon_L2162_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H139 zenon_H162 zenon_H1c3 zenon_Ha9 zenon_H77 zenon_H1cb zenon_H68 zenon_H48 zenon_H5c zenon_Ha0 zenon_H19a zenon_H18a zenon_H192 zenon_H2a zenon_H164 zenon_H47 zenon_Hb6 zenon_H13a zenon_H94 zenon_H25 zenon_H125 zenon_H93 zenon_H196.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.55 apply (zenon_L251_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.55 apply (zenon_L147_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.48/22.55 apply (zenon_L251_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.48/22.55 apply (zenon_L171_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.48/22.55 apply (zenon_L38_); trivial.
% 22.48/22.55 apply (zenon_L340_); trivial.
% 22.48/22.55 apply (zenon_L167_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2162_ *)
% 22.48/22.55 assert (zenon_L2163_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (((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) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_H2a zenon_Hb6 zenon_H153 zenon_H19a zenon_Ha0 zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H162.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.55 apply (zenon_L53_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.55 apply (zenon_L95_); trivial.
% 22.48/22.55 apply (zenon_L159_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2163_ *)
% 22.48/22.55 assert (zenon_L2164_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H164 zenon_H2d zenon_H109 zenon_H2a zenon_H192 zenon_H1cb zenon_H68 zenon_H93 zenon_H48 zenon_H5c zenon_H9e zenon_Ha0 zenon_H19a zenon_H162.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.48/22.55 apply (zenon_L359_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.48/22.55 apply (zenon_L292_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.48/22.55 apply (zenon_L267_); trivial.
% 22.48/22.55 exact (zenon_H162 zenon_H167).
% 22.48/22.55 (* end of lemma zenon_L2164_ *)
% 22.48/22.55 assert (zenon_L2165_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Ha9 zenon_H66 zenon_H164 zenon_H2d zenon_H109 zenon_H2a zenon_H192 zenon_H1cb zenon_H68 zenon_H93 zenon_H48 zenon_H5c zenon_Ha0 zenon_H19a zenon_H162.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.55 apply (zenon_L53_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.55 apply (zenon_L193_); trivial.
% 22.48/22.55 apply (zenon_L2164_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2165_ *)
% 22.48/22.55 assert (zenon_L2166_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H15d zenon_H196 zenon_Ha9 zenon_H164 zenon_H2d zenon_H109 zenon_H1cb zenon_H77 zenon_H139 zenon_H7f zenon_H192 zenon_H162 zenon_H68 zenon_H93 zenon_H48 zenon_Ha0 zenon_H19a zenon_Hb6 zenon_H2a zenon_Ha4 zenon_H13a zenon_H5c zenon_Hf5.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.55 apply (zenon_L251_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.55 apply (zenon_L147_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.55 apply (zenon_L2165_); trivial.
% 22.48/22.55 apply (zenon_L167_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_L146_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_L2163_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2166_ *)
% 22.48/22.55 assert (zenon_L2167_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H1fe zenon_H1c3 zenon_H94 zenon_H125 zenon_Hf5 zenon_H13a zenon_Ha4 zenon_H2a zenon_Hb6 zenon_Ha0 zenon_H162 zenon_H192 zenon_H139 zenon_H1cb zenon_H109 zenon_H164 zenon_Ha9 zenon_H196 zenon_H15d zenon_H19a zenon_H1b7 zenon_H7f zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H18a.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.55 apply (zenon_L2137_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_L2162_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_L65_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_L2163_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.48/22.55 apply (zenon_L2166_); trivial.
% 22.48/22.55 apply (zenon_L1343_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2167_ *)
% 22.48/22.55 assert (zenon_L2168_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H164 zenon_H25 zenon_H179 zenon_H1b7 zenon_H68 zenon_H93 zenon_H48 zenon_H5c zenon_H26d zenon_H19a zenon_H31 zenon_H177 zenon_H162.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.48/22.55 apply (zenon_L297_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.48/22.55 apply (zenon_L821_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.48/22.55 apply (zenon_L406_); trivial.
% 22.48/22.55 exact (zenon_H162 zenon_H167).
% 22.48/22.55 (* end of lemma zenon_L2168_ *)
% 22.48/22.55 assert (zenon_L2169_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H164 zenon_H2d zenon_H109 zenon_H1b7 zenon_H68 zenon_H93 zenon_H48 zenon_H5c zenon_H26d zenon_H19a zenon_H31 zenon_H177 zenon_H162.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.48/22.55 apply (zenon_L359_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.48/22.55 apply (zenon_L821_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.48/22.55 apply (zenon_L406_); trivial.
% 22.48/22.55 exact (zenon_H162 zenon_H167).
% 22.48/22.55 (* end of lemma zenon_L2169_ *)
% 22.48/22.55 assert (zenon_L2170_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H1fe zenon_Hf5 zenon_H139 zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_Ha4 zenon_H13a zenon_H196 zenon_H192 zenon_H15d zenon_H179 zenon_H162 zenon_H177 zenon_H31 zenon_H26d zenon_H109 zenon_H164 zenon_H19a zenon_H1b7 zenon_H7f zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H18a.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.55 apply (zenon_L2161_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.48/22.55 apply (zenon_L2168_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.48/22.55 apply (zenon_L2169_); trivial.
% 22.48/22.55 apply (zenon_L1343_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2170_ *)
% 22.48/22.55 assert (zenon_L2171_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H236 zenon_H1cb zenon_H125 zenon_H94 zenon_H1c3 zenon_H18a zenon_H68 zenon_H5c zenon_H19a zenon_H164 zenon_H109 zenon_H26d zenon_H177 zenon_H162 zenon_H179 zenon_H15d zenon_H192 zenon_H196 zenon_H13a zenon_Ha4 zenon_Ha9 zenon_Hb6 zenon_Ha0 zenon_H139 zenon_Hf5 zenon_H1fe zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H93 zenon_H77 zenon_H7f zenon_H1b7.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.48/22.55 apply (zenon_L2161_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.48/22.55 apply (zenon_L2167_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.48/22.55 apply (zenon_L2170_); trivial.
% 22.48/22.55 apply (zenon_L1276_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2171_ *)
% 22.48/22.55 assert (zenon_L2172_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H15d zenon_H196 zenon_H93 zenon_H177 zenon_H160 zenon_H13a zenon_Ha4 zenon_Ha9 zenon_Hb6 zenon_He4 zenon_H77 zenon_H139 zenon_H234 zenon_H104 zenon_H121 zenon_H11a zenon_H10c zenon_H1cd zenon_H24e zenon_Hc4 zenon_H2c zenon_H141 zenon_H164 zenon_H1e zenon_H33 zenon_H1b7 zenon_H1cb zenon_H68 zenon_H48 zenon_Ha0 zenon_H19a zenon_H212 zenon_H18a zenon_H7d zenon_Hbc zenon_H209 zenon_H5c zenon_Hf5.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_L13_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_L215_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.55 apply (zenon_L20_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.55 apply (zenon_L110_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.55 apply (zenon_L95_); trivial.
% 22.48/22.55 apply (zenon_L2120_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.55 apply (zenon_L122_); trivial.
% 22.48/22.55 apply (zenon_L167_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2172_ *)
% 22.48/22.55 assert (zenon_L2173_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H15d zenon_H177 zenon_H160 zenon_H48 zenon_H196 zenon_H93 zenon_H77 zenon_H2a zenon_H68 zenon_H1e zenon_H139 zenon_H5c zenon_Hf5.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_L352_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_L65_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_L2136_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2173_ *)
% 22.48/22.55 assert (zenon_L2174_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H15d zenon_H196 zenon_H93 zenon_H77 zenon_H2a zenon_H68 zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H164 zenon_H18a zenon_H192 zenon_H1cb zenon_H48 zenon_Ha0 zenon_H19a zenon_H139 zenon_H2d zenon_H5d zenon_H160 zenon_H177 zenon_H82 zenon_H5c zenon_Hf5.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_L352_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_L65_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.48/22.55 apply (zenon_L352_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.48/22.55 apply (zenon_L17_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.48/22.55 apply (zenon_L217_); trivial.
% 22.48/22.55 apply (zenon_L2153_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2174_ *)
% 22.48/22.55 assert (zenon_L2175_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H12e zenon_H48 zenon_H3d zenon_H192 zenon_Hc4 zenon_H160 zenon_H1cb zenon_H34 zenon_H18a zenon_H1bb zenon_H5c zenon_H20f.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.48/22.55 apply (zenon_L456_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.48/22.55 apply (zenon_L146_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.48/22.55 apply (zenon_L847_); trivial.
% 22.48/22.55 apply (zenon_L412_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2175_ *)
% 22.48/22.55 assert (zenon_L2176_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (((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) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_H2a zenon_Hb6 zenon_H153 zenon_H19a zenon_Ha0 zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H34 zenon_H18a.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.55 apply (zenon_L53_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.55 apply (zenon_L95_); trivial.
% 22.48/22.55 apply (zenon_L851_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2176_ *)
% 22.48/22.55 assert (zenon_L2177_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((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)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H15d zenon_H196 zenon_H177 zenon_H77 zenon_H139 zenon_H20f zenon_H1bb zenon_H1cb zenon_H160 zenon_Hc4 zenon_H192 zenon_H12e zenon_H18a zenon_H34 zenon_H68 zenon_H93 zenon_H48 zenon_Ha0 zenon_H19a zenon_Hb6 zenon_H2a zenon_Ha4 zenon_H13a zenon_H5c zenon_Hf5.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_L352_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_L2175_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_L2176_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2177_ *)
% 22.48/22.55 assert (zenon_L2178_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((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)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H1fe zenon_Hbc zenon_H94 zenon_H125 zenon_H209 zenon_Hb2 zenon_H82 zenon_H5d zenon_H164 zenon_H15d zenon_H196 zenon_H177 zenon_H77 zenon_H139 zenon_H20f zenon_H1bb zenon_H1cb zenon_H160 zenon_Hc4 zenon_H192 zenon_H12e zenon_H18a zenon_H68 zenon_H93 zenon_H48 zenon_Ha0 zenon_H19a zenon_Hb6 zenon_H2a zenon_Ha4 zenon_H13a zenon_H5c zenon_Hf5.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.55 apply (zenon_L2173_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_L541_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_L65_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.48/22.55 apply (zenon_L541_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.48/22.55 apply (zenon_L17_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.48/22.55 apply (zenon_L2151_); trivial.
% 22.48/22.55 apply (zenon_L2153_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.48/22.55 apply (zenon_L2174_); trivial.
% 22.48/22.55 apply (zenon_L2177_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2178_ *)
% 22.48/22.55 assert (zenon_L2179_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H15d zenon_H196 zenon_H93 zenon_H177 zenon_H160 zenon_H77 zenon_H1e zenon_H68 zenon_H139 zenon_H48 zenon_H31 zenon_H5c zenon_Hf5.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_L13_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_L215_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_L239_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2179_ *)
% 22.48/22.55 assert (zenon_L2180_ : (((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 (e1) (e3)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((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))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H201 zenon_H48 zenon_H31 zenon_H186 zenon_H5c zenon_H190 zenon_H110 zenon_H6e zenon_H6f zenon_H55 zenon_H2d zenon_H266 zenon_H77 zenon_H160.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.48/22.55 apply (zenon_L239_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.48/22.55 apply (zenon_L138_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.48/22.55 apply (zenon_L2130_); trivial.
% 22.48/22.55 apply (zenon_L367_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2180_ *)
% 22.48/22.55 assert (zenon_L2181_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((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 (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H117 zenon_Ha0 zenon_H10c zenon_Hf0 zenon_H160 zenon_H77 zenon_H266 zenon_H2d zenon_H55 zenon_H6f zenon_H6e zenon_H190 zenon_H5c zenon_H186 zenon_H31 zenon_H48 zenon_H201 zenon_H9e zenon_H196.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.48/22.55 apply (zenon_L67_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.48/22.55 apply (zenon_L74_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.48/22.55 apply (zenon_L2180_); trivial.
% 22.48/22.55 apply (zenon_L154_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2181_ *)
% 22.48/22.55 assert (zenon_L2182_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (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 (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H1cf zenon_H68 zenon_H4e zenon_H76 zenon_H93 zenon_H1c2 zenon_H117 zenon_Ha0 zenon_H10c zenon_Hf0 zenon_H77 zenon_H266 zenon_H2d zenon_H55 zenon_H6f zenon_H6e zenon_H190 zenon_H5c zenon_H186 zenon_H31 zenon_H48 zenon_H201 zenon_H9e zenon_H196.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.48/22.55 apply (zenon_L264_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.48/22.55 apply (zenon_L83_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.48/22.55 apply (zenon_L207_); trivial.
% 22.48/22.55 apply (zenon_L2181_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2182_ *)
% 22.48/22.55 assert (zenon_L2183_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (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 (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Ha9 zenon_H1cf zenon_H68 zenon_H4e zenon_H76 zenon_H93 zenon_H1c2 zenon_H117 zenon_Ha0 zenon_H10c zenon_Hf0 zenon_H77 zenon_H266 zenon_H2d zenon_H55 zenon_H6f zenon_H6e zenon_H190 zenon_H5c zenon_H186 zenon_H31 zenon_H48 zenon_H201 zenon_H196.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.55 apply (zenon_L110_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.55 apply (zenon_L68_); trivial.
% 22.48/22.55 apply (zenon_L2182_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2183_ *)
% 22.48/22.55 assert (zenon_L2184_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (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 (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H139 zenon_Hbc zenon_H160 zenon_H99 zenon_H94 zenon_H13a zenon_Ha4 zenon_Ha9 zenon_H1cf zenon_H4e zenon_H1c2 zenon_H117 zenon_Ha0 zenon_H10c zenon_Hf0 zenon_H77 zenon_H266 zenon_H2d zenon_H55 zenon_H6f zenon_H190 zenon_H5c zenon_H186 zenon_H48 zenon_H201 zenon_H47 zenon_H125 zenon_H68 zenon_H31 zenon_H93 zenon_H196.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.55 apply (zenon_L251_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.48/22.55 apply (zenon_L251_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.48/22.55 apply (zenon_L2183_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.48/22.55 apply (zenon_L39_); trivial.
% 22.48/22.55 apply (zenon_L104_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.55 apply (zenon_L264_); trivial.
% 22.48/22.55 apply (zenon_L167_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2184_ *)
% 22.48/22.55 assert (zenon_L2185_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> ((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) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Ha9 zenon_H6e zenon_H31 zenon_H19a zenon_Ha0 zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H34 zenon_H18a.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.55 apply (zenon_L110_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.55 apply (zenon_L68_); trivial.
% 22.48/22.55 apply (zenon_L851_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2185_ *)
% 22.48/22.55 assert (zenon_L2186_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((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)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H15d zenon_H196 zenon_H93 zenon_H177 zenon_H13a zenon_Ha4 zenon_Ha9 zenon_H19a zenon_Ha0 zenon_H68 zenon_H77 zenon_H139 zenon_H20f zenon_H1bb zenon_H18a zenon_H34 zenon_H1cb zenon_H160 zenon_Hc4 zenon_H192 zenon_H12e zenon_H48 zenon_H31 zenon_H5c zenon_Hf5.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.55 apply (zenon_L251_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.55 apply (zenon_L2185_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.55 apply (zenon_L122_); trivial.
% 22.48/22.55 apply (zenon_L167_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_L2175_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_L239_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2186_ *)
% 22.48/22.55 assert (zenon_L2187_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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 (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((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 (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((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))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H236 zenon_H7d zenon_H212 zenon_H1b7 zenon_H141 zenon_H2c zenon_H24e zenon_H1cd zenon_H104 zenon_H234 zenon_He4 zenon_Hf5 zenon_H5c zenon_H12e zenon_H192 zenon_H160 zenon_H1cb zenon_H18a zenon_H1bb zenon_H20f zenon_H19a zenon_Ha4 zenon_H93 zenon_H196 zenon_H125 zenon_H201 zenon_H186 zenon_H190 zenon_H6f zenon_H55 zenon_H266 zenon_Hf0 zenon_H117 zenon_H1c2 zenon_H4e zenon_H1cf zenon_H94 zenon_H99 zenon_Hbc zenon_H164 zenon_H5d zenon_H82 zenon_Hb2 zenon_H1fe zenon_H15d zenon_H68 zenon_Ha9 zenon_H77 zenon_H139 zenon_H209 zenon_H177 zenon_Ha0 zenon_Hb6 zenon_H10c zenon_H173 zenon_H121 zenon_H33 zenon_H11a zenon_H1a3 zenon_Hc4 zenon_H13a zenon_H48.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.48/22.55 apply (zenon_L2172_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.48/22.55 apply (zenon_L2178_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.55 apply (zenon_L2179_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_L541_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.48/22.55 apply (zenon_L818_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.48/22.55 apply (zenon_L17_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.48/22.55 apply (zenon_L2151_); trivial.
% 22.48/22.55 apply (zenon_L1931_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_L239_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.55 apply (zenon_L2184_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.48/22.55 apply (zenon_L818_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.48/22.55 apply (zenon_L17_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.48/22.55 apply (zenon_L217_); trivial.
% 22.48/22.55 apply (zenon_L1931_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.55 apply (zenon_L239_); trivial.
% 22.48/22.55 apply (zenon_L192_); trivial.
% 22.48/22.55 apply (zenon_L2186_); trivial.
% 22.48/22.55 apply (zenon_L1253_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2187_ *)
% 22.48/22.55 assert (zenon_L2188_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H164 zenon_H1c7 zenon_H160 zenon_H1cd zenon_H7d zenon_H24e zenon_H1bb zenon_H18a zenon_H1cb zenon_Hc4 zenon_H1f1 zenon_H12e zenon_Hef zenon_H189 zenon_H53 zenon_H19a zenon_Ha0 zenon_H9e zenon_H48 zenon_H93 zenon_H68 zenon_H1b7 zenon_Hb6 zenon_H18d zenon_H31 zenon_H177 zenon_H67 zenon_H7e.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.48/22.55 apply (zenon_L849_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.48/22.55 apply (zenon_L759_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.48/22.55 apply (zenon_L406_); trivial.
% 22.48/22.55 apply (zenon_L547_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2188_ *)
% 22.48/22.55 assert (zenon_L2189_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H3d zenon_Ha0 zenon_H31 zenon_Hb9 zenon_H196.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.55 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.55 apply (zenon_L55_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.55 apply (zenon_L68_); trivial.
% 22.48/22.55 apply (zenon_L154_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2189_ *)
% 22.48/22.55 assert (zenon_L2190_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H117 zenon_H2d zenon_H10c zenon_Hf0 zenon_H105 zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H3d zenon_Ha0 zenon_H31 zenon_H196.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.48/22.55 apply (zenon_L67_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.48/22.55 apply (zenon_L74_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.48/22.55 apply (zenon_L400_); trivial.
% 22.48/22.55 apply (zenon_L2189_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2190_ *)
% 22.48/22.55 assert (zenon_L2191_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e1) (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 (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False).
% 22.48/22.55 do 0 intro. intros zenon_H13f zenon_H7e zenon_H67 zenon_H177 zenon_H18d zenon_H1b7 zenon_H68 zenon_H48 zenon_H9e zenon_H19a zenon_H189 zenon_Hef zenon_H12e zenon_H1f1 zenon_Hc4 zenon_H1cb zenon_H18a zenon_H1bb zenon_H24e zenon_H7d zenon_H1cd zenon_H160 zenon_H1c7 zenon_H164 zenon_H196 zenon_H31 zenon_Ha0 zenon_H3d zenon_Hb6 zenon_Ha4 zenon_H13a zenon_Hf0 zenon_H10c zenon_H2d zenon_H117 zenon_H77 zenon_H93.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.48/22.55 apply (zenon_L217_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.48/22.55 apply (zenon_L2188_); trivial.
% 22.48/22.55 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.48/22.55 apply (zenon_L2190_); trivial.
% 22.48/22.55 apply (zenon_L218_); trivial.
% 22.48/22.55 (* end of lemma zenon_L2191_ *)
% 22.48/22.55 assert (zenon_L2192_ : (((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 (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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 (e2) (e2)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((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) (e3)) = (e3)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 22.48/22.56 do 0 intro. intros zenon_H1a8 zenon_H201 zenon_H186 zenon_H5c zenon_H190 zenon_H6f zenon_H55 zenon_H266 zenon_H1c2 zenon_H76 zenon_H4e zenon_H1cf zenon_Ha9 zenon_H93 zenon_H77 zenon_H117 zenon_H2d zenon_H10c zenon_Hf0 zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H3d zenon_Ha0 zenon_H31 zenon_H196 zenon_H164 zenon_H1c7 zenon_H7d zenon_H24e zenon_H1bb zenon_H18a zenon_H1cb zenon_Hc4 zenon_H1f1 zenon_H12e zenon_H19a zenon_H9e zenon_H48 zenon_H68 zenon_H1b7 zenon_H18d zenon_H177 zenon_H67 zenon_H7e zenon_H13f zenon_H189 zenon_H99 zenon_H160 zenon_H1cd.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.48/22.56 apply (zenon_L2183_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.48/22.56 apply (zenon_L2191_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.48/22.56 apply (zenon_L458_); trivial.
% 22.48/22.56 apply (zenon_L240_); trivial.
% 22.48/22.56 (* end of lemma zenon_L2192_ *)
% 22.48/22.56 assert (zenon_L2193_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.56 do 0 intro. intros zenon_H15d zenon_H177 zenon_H160 zenon_H196 zenon_H93 zenon_H77 zenon_H13a zenon_Ha4 zenon_Ha9 zenon_Hb6 zenon_H19a zenon_Ha0 zenon_H48 zenon_H68 zenon_H162 zenon_H1e zenon_H139 zenon_H5c zenon_Hf5.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.56 apply (zenon_L13_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.56 apply (zenon_L215_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.56 apply (zenon_L2160_); trivial.
% 22.48/22.56 apply (zenon_L192_); trivial.
% 22.48/22.56 (* end of lemma zenon_L2193_ *)
% 22.48/22.56 assert (zenon_L2194_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((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)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.56 do 0 intro. intros zenon_H1fe zenon_H179 zenon_H162 zenon_H26d zenon_H1b7 zenon_H109 zenon_H164 zenon_H15d zenon_H196 zenon_H93 zenon_H177 zenon_H13a zenon_Ha4 zenon_Ha9 zenon_H19a zenon_Ha0 zenon_H68 zenon_H77 zenon_H139 zenon_H20f zenon_H1bb zenon_H18a zenon_H1cb zenon_H160 zenon_Hc4 zenon_H192 zenon_H12e zenon_H48 zenon_H31 zenon_H5c zenon_Hf5.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.56 apply (zenon_L2179_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.48/22.56 apply (zenon_L2168_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.48/22.56 apply (zenon_L2169_); trivial.
% 22.48/22.56 apply (zenon_L2186_); trivial.
% 22.48/22.56 (* end of lemma zenon_L2194_ *)
% 22.48/22.56 assert (zenon_L2195_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> False).
% 22.48/22.56 do 0 intro. intros zenon_Hc8 zenon_H109 zenon_H284 zenon_H25e zenon_H281 zenon_H1fb zenon_Hcc zenon_H282 zenon_Heb zenon_H27e zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H16a zenon_H13c zenon_H1ef zenon_H13e zenon_H158 zenon_H156 zenon_H1ec zenon_H73 zenon_H131 zenon_H283 zenon_Hcb zenon_H1a8 zenon_H189 zenon_H18d zenon_H1f1 zenon_H13f zenon_H163 zenon_H195 zenon_Hfa zenon_H26d zenon_H179 zenon_H1c3 zenon_H1b4 zenon_H129 zenon_H15d zenon_Hf5 zenon_H13a zenon_H234 zenon_H5c zenon_H141 zenon_H19a zenon_H18a zenon_Ha0 zenon_H1b7 zenon_H104 zenon_H121 zenon_Hc4 zenon_H212 zenon_Hbc zenon_H7d zenon_H1cd zenon_H24e zenon_H10c zenon_H11a zenon_H164 zenon_H2c zenon_H1cb zenon_H33 zenon_He4 zenon_Hb6 zenon_Ha9 zenon_Ha4 zenon_H68 zenon_H77 zenon_H177 zenon_H160 zenon_H196 zenon_H93 zenon_H139 zenon_H48 zenon_H1fe zenon_H12e zenon_H20f zenon_H1bb zenon_H125 zenon_H94 zenon_H82 zenon_H192 zenon_Hb2 zenon_H5d zenon_H4e zenon_H1c2 zenon_H117 zenon_H186 zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H201 zenon_Hf0 zenon_H1cf zenon_H99 zenon_H173 zenon_H236 zenon_Hca.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.48/22.56 apply (zenon_L2187_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.48/22.56 apply (zenon_L2172_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.48/22.56 apply (zenon_L2178_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.56 apply (zenon_L2179_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.56 apply (zenon_L541_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.48/22.56 apply (zenon_L818_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.48/22.56 apply (zenon_L17_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.48/22.56 apply (zenon_L2151_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.48/22.56 apply (zenon_L297_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.48/22.56 apply (zenon_L821_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.48/22.56 apply (zenon_L406_); trivial.
% 22.48/22.56 apply (zenon_L547_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.56 apply (zenon_L214_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.56 apply (zenon_L122_); trivial.
% 22.48/22.56 apply (zenon_L167_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.56 apply (zenon_L239_); trivial.
% 22.48/22.56 apply (zenon_L192_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.56 apply (zenon_L2184_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.48/22.56 apply (zenon_L818_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.48/22.56 apply (zenon_L17_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.48/22.56 apply (zenon_L217_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.56 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.56 apply (zenon_L55_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.56 apply (zenon_L68_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.48/22.56 apply (zenon_L2192_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.48/22.56 apply (zenon_L2191_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.48/22.56 apply (zenon_L227_); trivial.
% 22.48/22.56 apply (zenon_L228_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.56 apply (zenon_L214_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.56 apply (zenon_L264_); trivial.
% 22.48/22.56 apply (zenon_L1855_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.56 apply (zenon_L239_); trivial.
% 22.48/22.56 apply (zenon_L192_); trivial.
% 22.48/22.56 apply (zenon_L2186_); trivial.
% 22.48/22.56 apply (zenon_L414_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.48/22.56 apply (zenon_L2187_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.56 apply (zenon_L13_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.56 apply (zenon_L215_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.56 apply (zenon_L20_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.56 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.56 apply (zenon_L110_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.56 apply (zenon_L393_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.48/22.56 apply (zenon_L214_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.48/22.56 apply (zenon_L540_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.48/22.56 apply (zenon_L5_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.48/22.56 apply (zenon_L111_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.48/22.56 apply (zenon_L562_); trivial.
% 22.48/22.56 apply (zenon_L158_); trivial.
% 22.48/22.56 apply (zenon_L2119_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.56 apply (zenon_L94_); trivial.
% 22.48/22.56 apply (zenon_L167_); trivial.
% 22.48/22.56 apply (zenon_L192_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.48/22.56 apply (zenon_L2178_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.56 apply (zenon_L2179_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.56 apply (zenon_L541_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.48/22.56 apply (zenon_L818_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.48/22.56 apply (zenon_L25_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.48/22.56 apply (zenon_L2151_); trivial.
% 22.48/22.56 apply (zenon_L866_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.56 apply (zenon_L239_); trivial.
% 22.48/22.56 apply (zenon_L192_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.56 apply (zenon_L2184_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.48/22.56 apply (zenon_L818_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.48/22.56 apply (zenon_L17_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.48/22.56 apply (zenon_L217_); trivial.
% 22.48/22.56 apply (zenon_L866_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.56 apply (zenon_L239_); trivial.
% 22.48/22.56 apply (zenon_L192_); trivial.
% 22.48/22.56 apply (zenon_L2186_); trivial.
% 22.48/22.56 apply (zenon_L414_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.48/22.56 apply (zenon_L2193_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.56 apply (zenon_L352_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.56 apply (zenon_L65_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.56 apply (zenon_L2163_); trivial.
% 22.48/22.56 apply (zenon_L192_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.48/22.56 apply (zenon_L2194_); trivial.
% 22.48/22.56 apply (zenon_L1236_); trivial.
% 22.48/22.56 (* end of lemma zenon_L2195_ *)
% 22.48/22.56 assert (zenon_L2196_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 22.48/22.56 do 0 intro. intros zenon_H125 zenon_H6c zenon_H68 zenon_H25 zenon_H94 zenon_H93 zenon_Ha9 zenon_H9d.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.48/22.56 exact (zenon_H6c zenon_H67).
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.48/22.56 apply (zenon_L171_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.48/22.56 apply (zenon_L38_); trivial.
% 22.48/22.56 apply (zenon_L91_); trivial.
% 22.48/22.56 (* end of lemma zenon_L2196_ *)
% 22.48/22.56 assert (zenon_L2197_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 22.48/22.56 do 0 intro. intros zenon_H82 zenon_H4c zenon_H5d zenon_H5c zenon_H48 zenon_H2d zenon_Hb6 zenon_H9d.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.48/22.56 exact (zenon_H4c zenon_H47).
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.48/22.56 apply (zenon_L17_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.48/22.56 apply (zenon_L217_); trivial.
% 22.48/22.56 apply (zenon_L134_); trivial.
% 22.48/22.56 (* end of lemma zenon_L2197_ *)
% 22.48/22.56 assert (zenon_L2198_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((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) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.48/22.56 do 0 intro. intros zenon_H1fe zenon_H1f zenon_H1cb zenon_H110 zenon_H4e zenon_H237 zenon_H140 zenon_H9d zenon_Hb6 zenon_H5d zenon_H4c zenon_H82 zenon_H19a zenon_Ha0 zenon_H9e zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H18a.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.56 exact (zenon_H1f zenon_H1e).
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.48/22.56 exact (zenon_H237 zenon_H31).
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.48/22.56 apply (zenon_L274_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.48/22.56 apply (zenon_L278_); trivial.
% 22.48/22.56 apply (zenon_L267_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.48/22.56 apply (zenon_L2197_); trivial.
% 22.48/22.56 apply (zenon_L851_); trivial.
% 22.48/22.56 (* end of lemma zenon_L2198_ *)
% 22.48/22.56 assert (zenon_L2199_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((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)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (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 (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 22.48/22.56 do 0 intro. intros zenon_H204 zenon_H140 zenon_H82 zenon_H109 zenon_H23d zenon_H33 zenon_H236 zenon_H9e zenon_Ha0 zenon_H1f zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H163 zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13a zenon_H13e zenon_H1ef zenon_Hb6 zenon_H13c zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H25b zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H281 zenon_H25e zenon_H284 zenon_H125 zenon_H9d zenon_Ha9 zenon_H93 zenon_H94 zenon_H68 zenon_H139 zenon_H1cf zenon_Hf0 zenon_H10c zenon_H201 zenon_H77 zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H5c zenon_H186 zenon_H48 zenon_H196 zenon_H117 zenon_H1c2 zenon_H4e zenon_H19a zenon_H18a zenon_H1fe zenon_H240.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.48/22.56 apply (zenon_L1873_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.48/22.56 exact (zenon_H1f zenon_H1e).
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.48/22.56 exact (zenon_H205 zenon_H2a).
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.56 exact (zenon_H1f zenon_H1e).
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.48/22.56 apply (zenon_L2196_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.56 exact (zenon_H6c zenon_H67).
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.48/22.56 exact (zenon_H6c zenon_H67).
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.48/22.56 apply (zenon_L2182_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.48/22.56 apply (zenon_L27_); trivial.
% 22.48/22.56 apply (zenon_L91_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.56 apply (zenon_L264_); trivial.
% 22.48/22.56 apply (zenon_L167_); trivial.
% 22.48/22.56 apply (zenon_L851_); trivial.
% 22.48/22.56 apply (zenon_L1236_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.48/22.56 apply (zenon_L73_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.48/22.56 apply (zenon_L74_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.48/22.56 apply (zenon_L2198_); trivial.
% 22.48/22.56 apply (zenon_L154_); trivial.
% 22.48/22.56 apply (zenon_L611_); trivial.
% 22.48/22.56 (* end of lemma zenon_L2199_ *)
% 22.48/22.56 assert (zenon_L2200_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.56 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_H173 zenon_H10c zenon_Ha9 zenon_H66 zenon_Hb9 zenon_H196.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.56 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.56 apply (zenon_L120_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.56 apply (zenon_L193_); trivial.
% 22.48/22.56 apply (zenon_L154_); trivial.
% 22.48/22.56 (* end of lemma zenon_L2200_ *)
% 22.48/22.56 assert (zenon_L2201_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.56 do 0 intro. intros zenon_H139 zenon_H77 zenon_Hbb zenon_H177 zenon_H47 zenon_Hb6 zenon_Hb9 zenon_Ha9 zenon_H10c zenon_H173 zenon_Ha4 zenon_H13a zenon_H93 zenon_H196.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.56 apply (zenon_L251_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.56 apply (zenon_L986_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.56 apply (zenon_L2200_); trivial.
% 22.48/22.56 apply (zenon_L167_); trivial.
% 22.48/22.56 (* end of lemma zenon_L2201_ *)
% 22.48/22.56 assert (zenon_L2202_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.56 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Ha0 zenon_H2a zenon_Hb6 zenon_H153 zenon_Hb9 zenon_H196.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.56 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.56 apply (zenon_L53_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.56 apply (zenon_L95_); trivial.
% 22.48/22.56 apply (zenon_L154_); trivial.
% 22.48/22.56 (* end of lemma zenon_L2202_ *)
% 22.48/22.56 assert (zenon_L2203_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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 (e1) (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> False).
% 22.48/22.56 do 0 intro. intros zenon_H5c zenon_H10c zenon_H93 zenon_H15d zenon_Hf5 zenon_H48 zenon_Hb6 zenon_H77 zenon_H13a zenon_Hf0 zenon_H196 zenon_H117 zenon_Ha0 zenon_Ha9 zenon_Ha4 zenon_H68 zenon_H139 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H25b zenon_H186 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_Heb zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H1a8 zenon_H140 zenon_He4 zenon_H33 zenon_H212 zenon_Hbc zenon_H7d zenon_H164 zenon_H2c zenon_H141 zenon_H234 zenon_Hfa zenon_Hb2 zenon_H13f zenon_H1f1 zenon_H18a zenon_H1fe zenon_H104 zenon_H1cd zenon_H24e zenon_H11a zenon_H177 zenon_H121 zenon_H125 zenon_H82 zenon_H192 zenon_H1d5 zenon_H179 zenon_H19d zenon_H109 zenon_H201 zenon_H1c2 zenon_H12e zenon_H23d zenon_H1d8 zenon_H111 zenon_H26a zenon_H23c zenon_H183 zenon_H231 zenon_H13b zenon_H288.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.48/22.56 apply (zenon_L2_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.48/22.56 apply (zenon_L2110_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.48/22.56 exact (zenon_H16b zenon_H93).
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.56 apply (zenon_L2127_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.56 apply (zenon_L2114_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.56 apply (zenon_L239_); trivial.
% 22.48/22.56 apply (zenon_L192_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.48/22.56 apply (zenon_L1241_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.48/22.56 apply (zenon_L1206_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.48/22.56 apply (zenon_L11_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.48/22.56 apply (zenon_L1207_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.48/22.56 apply (zenon_L2158_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.48/22.56 apply (zenon_L2146_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.48/22.56 apply (zenon_L2154_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.48/22.56 apply (zenon_L2157_); trivial.
% 22.48/22.56 apply (zenon_L414_); trivial.
% 22.48/22.56 apply (zenon_L2171_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.48/22.56 apply (zenon_L1208_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.48/22.56 apply (zenon_L1209_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.48/22.56 apply (zenon_L37_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.48/22.56 apply (zenon_L2195_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.48/22.56 apply (zenon_L2199_); trivial.
% 22.48/22.56 apply (zenon_L2199_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.48/22.56 apply (zenon_L1354_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.48/22.56 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.48/22.56 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.48/22.56 exact (zenon_H16b zenon_H93).
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.48/22.56 apply (zenon_L1355_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.56 apply (zenon_L2201_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.56 apply (zenon_L65_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.56 apply (zenon_L2202_); trivial.
% 22.48/22.56 apply (zenon_L192_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.56 apply (zenon_L251_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.56 apply (zenon_L986_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.56 apply (zenon_L264_); trivial.
% 22.48/22.56 apply (zenon_L167_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.56 apply (zenon_L2189_); trivial.
% 22.48/22.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.56 apply (zenon_L239_); trivial.
% 22.48/22.56 apply (zenon_L192_); trivial.
% 22.48/22.56 apply (zenon_L1390_); trivial.
% 22.48/22.56 apply (zenon_L51_); trivial.
% 22.48/22.56 apply (zenon_L1234_); trivial.
% 22.48/22.56 (* end of lemma zenon_L2203_ *)
% 22.48/22.56 assert (zenon_L2204_ : ((op (e3) (e1)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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 (e1) (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> False).
% 22.48/22.56 do 0 intro. intros zenon_H7f zenon_H9e zenon_Hdd zenon_H9d zenon_H5c zenon_H10c zenon_H15d zenon_Hf5 zenon_H48 zenon_Hb6 zenon_H77 zenon_H13a zenon_Hf0 zenon_H196 zenon_H117 zenon_Ha0 zenon_Ha9 zenon_Ha4 zenon_H68 zenon_H139 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H25b zenon_H186 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_Heb zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H1a8 zenon_H140 zenon_He4 zenon_H33 zenon_H212 zenon_Hbc zenon_H7d zenon_H164 zenon_H2c zenon_H141 zenon_H234 zenon_Hfa zenon_Hb2 zenon_H13f zenon_H1f1 zenon_H18a zenon_H1fe zenon_H104 zenon_H1cd zenon_H24e zenon_H11a zenon_H177 zenon_H121 zenon_H125 zenon_H82 zenon_H192 zenon_H1d5 zenon_H179 zenon_H19d zenon_H109 zenon_H201 zenon_H1c2 zenon_H12e zenon_H23d zenon_H1d8 zenon_H111 zenon_H26a zenon_H23c zenon_H183 zenon_H231 zenon_H13b zenon_H288.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.48/22.57 apply (zenon_L2117_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.48/22.57 apply (zenon_L54_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.48/22.57 apply (zenon_L2126_); trivial.
% 22.48/22.57 apply (zenon_L2203_); trivial.
% 22.48/22.57 (* end of lemma zenon_L2204_ *)
% 22.48/22.57 assert (zenon_L2205_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False).
% 22.48/22.57 do 0 intro. intros zenon_H117 zenon_Ha9 zenon_H65 zenon_H10c zenon_Hf0 zenon_H191 zenon_Ha0 zenon_H115.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.48/22.57 apply (zenon_L43_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.48/22.57 apply (zenon_L74_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.48/22.57 exact (zenon_H191 zenon_H110).
% 22.48/22.57 apply (zenon_L77_); trivial.
% 22.48/22.57 (* end of lemma zenon_L2205_ *)
% 22.48/22.57 assert (zenon_L2206_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (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) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> False).
% 22.48/22.57 do 0 intro. intros zenon_H288 zenon_H13b zenon_H231 zenon_H183 zenon_H23c zenon_H26a zenon_H111 zenon_H1d8 zenon_H23d zenon_H12e zenon_H1c2 zenon_H201 zenon_H109 zenon_H19d zenon_H179 zenon_H1d5 zenon_H192 zenon_H82 zenon_H125 zenon_H121 zenon_H177 zenon_H11a zenon_H24e zenon_H1cd zenon_H104 zenon_H1fe zenon_H18a zenon_Hb2 zenon_Hfa zenon_H234 zenon_H141 zenon_H2c zenon_H164 zenon_H7d zenon_Hbc zenon_H212 zenon_H33 zenon_He4 zenon_H140 zenon_H1a8 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_Heb zenon_H236 zenon_H18d zenon_H189 zenon_H27e zenon_H186 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H139 zenon_H68 zenon_Ha4 zenon_H196 zenon_H13a zenon_Hb6 zenon_Hf5 zenon_H15d zenon_H9d zenon_H9e zenon_H5c zenon_H195 zenon_H48 zenon_H1f1 zenon_H7f zenon_H77 zenon_H13f zenon_H117 zenon_Ha9 zenon_H65 zenon_H10c zenon_Hf0 zenon_H191 zenon_Ha0.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.48/22.57 apply (zenon_L27_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.48/22.57 apply (zenon_L2204_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.48/22.57 apply (zenon_L1268_); trivial.
% 22.48/22.57 apply (zenon_L2205_); trivial.
% 22.48/22.57 (* end of lemma zenon_L2206_ *)
% 22.48/22.57 assert (zenon_L2207_ : ((op (e1) (e0)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (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) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> False).
% 22.48/22.57 do 0 intro. intros zenon_H25 zenon_H288 zenon_H13b zenon_H231 zenon_H183 zenon_H23c zenon_H26a zenon_H111 zenon_H1d8 zenon_H23d zenon_H12e zenon_H1c2 zenon_H201 zenon_H109 zenon_H19d zenon_H179 zenon_H1d5 zenon_H192 zenon_H82 zenon_H125 zenon_H121 zenon_H177 zenon_H11a zenon_H24e zenon_H1cd zenon_H104 zenon_H1fe zenon_H18a zenon_Hb2 zenon_Hfa zenon_H234 zenon_H141 zenon_H2c zenon_H164 zenon_H7d zenon_Hbc zenon_H212 zenon_H33 zenon_He4 zenon_H140 zenon_H1a8 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_Heb zenon_H236 zenon_H18d zenon_H189 zenon_H27e zenon_H186 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H139 zenon_H68 zenon_Ha4 zenon_H196 zenon_H13a zenon_Hb6 zenon_Hf5 zenon_H15d zenon_H9e zenon_H5c zenon_H195 zenon_H48 zenon_H1f1 zenon_H7f zenon_H77 zenon_H13f zenon_H117 zenon_Ha9 zenon_H65 zenon_H10c zenon_Hf0 zenon_H191 zenon_Ha0.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.48/22.57 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.57 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.48/22.57 apply (zenon_L116_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.48/22.57 apply (zenon_L43_); trivial.
% 22.48/22.57 apply (zenon_L2206_); trivial.
% 22.48/22.57 (* end of lemma zenon_L2207_ *)
% 22.48/22.57 assert (zenon_L2208_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e0)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.57 do 0 intro. intros zenon_H16a zenon_H117 zenon_H196 zenon_H77 zenon_Hdd zenon_H72 zenon_H131 zenon_Hfa zenon_H6e zenon_H173 zenon_H5c zenon_H1a2 zenon_H31 zenon_Ha9 zenon_Hb6 zenon_H164 zenon_H25 zenon_H179 zenon_H1b7 zenon_H68 zenon_H48 zenon_H9e zenon_H19a zenon_Ha0 zenon_H47 zenon_H102 zenon_H1f1 zenon_H7f zenon_Ha8 zenon_H13f zenon_H195.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.48/22.57 apply (zenon_L2117_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.48/22.57 apply (zenon_L54_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.48/22.57 apply (zenon_L87_); trivial.
% 22.48/22.57 apply (zenon_L2148_); trivial.
% 22.48/22.57 (* end of lemma zenon_L2208_ *)
% 22.48/22.57 assert (zenon_L2209_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 22.48/22.57 do 0 intro. intros zenon_H195 zenon_H16a zenon_H191 zenon_Hf0 zenon_H117 zenon_H6f zenon_H131 zenon_H1a2 zenon_Hb6 zenon_H164 zenon_H25 zenon_H179 zenon_H1b7 zenon_H48 zenon_H19a zenon_H47 zenon_H1f1 zenon_H7f zenon_H13f zenon_H196 zenon_Hfa zenon_H141 zenon_H5c zenon_H77 zenon_Hb2 zenon_H288 zenon_H13b zenon_H231 zenon_H183 zenon_H23c zenon_H26a zenon_H111 zenon_H1d8 zenon_H23d zenon_H12e zenon_H1c2 zenon_H201 zenon_H109 zenon_H19d zenon_H1d5 zenon_H192 zenon_H82 zenon_H125 zenon_H121 zenon_H177 zenon_H11a zenon_H24e zenon_H1cd zenon_H104 zenon_H1fe zenon_H18a zenon_H234 zenon_H2c zenon_H7d zenon_Hbc zenon_H212 zenon_H33 zenon_He4 zenon_H140 zenon_H1a8 zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_Heb zenon_H236 zenon_H18d zenon_H189 zenon_H27e zenon_H186 zenon_H25b zenon_H1c6 zenon_H1cb zenon_H13c zenon_H1ef zenon_H266 zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H1ec zenon_H73 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H139 zenon_Hf5 zenon_H15d zenon_H68 zenon_H13a zenon_Ha4 zenon_H173 zenon_H10c zenon_Ha0 zenon_H31 zenon_Ha9.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.57 apply (zenon_L251_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.48/22.57 apply (zenon_L251_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.48/22.57 apply (zenon_L171_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.57 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.57 apply (zenon_L120_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.57 apply (zenon_L68_); trivial.
% 22.48/22.57 apply (zenon_L2207_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.57 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.57 apply (zenon_L110_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.57 apply (zenon_L68_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.48/22.57 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.57 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.48/22.57 apply (zenon_L116_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.48/22.57 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.48/22.57 apply (zenon_L171_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.48/22.57 apply (zenon_L226_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.48/22.57 apply (zenon_L67_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.48/22.57 apply (zenon_L2208_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.48/22.57 apply (zenon_L2123_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.48/22.57 apply (zenon_L648_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.48/22.57 apply (zenon_L284_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.48/22.57 apply (zenon_L2205_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.48/22.57 apply (zenon_L21_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.48/22.57 apply (zenon_L87_); trivial.
% 22.48/22.57 apply (zenon_L2147_); trivial.
% 22.48/22.57 apply (zenon_L149_); trivial.
% 22.48/22.57 apply (zenon_L206_); trivial.
% 22.48/22.57 apply (zenon_L91_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.57 apply (zenon_L264_); trivial.
% 22.48/22.57 apply (zenon_L2112_); trivial.
% 22.48/22.57 (* end of lemma zenon_L2209_ *)
% 22.48/22.57 assert (zenon_L2210_ : ((op (e0) (e2)) = (e2)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (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) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (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) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.48/22.57 do 0 intro. intros zenon_H66 zenon_H2a zenon_Hc4 zenon_H209 zenon_H173 zenon_Ha4 zenon_H13a zenon_H15d zenon_Hf5 zenon_H139 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H73 zenon_H1ec zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H266 zenon_H1ef zenon_H13c zenon_H1c6 zenon_H25b zenon_H186 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_Heb zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H1a8 zenon_H140 zenon_He4 zenon_H33 zenon_H212 zenon_Hbc zenon_H7d zenon_H2c zenon_H234 zenon_H1fe zenon_H104 zenon_H1cd zenon_H24e zenon_H11a zenon_H177 zenon_H121 zenon_H125 zenon_H82 zenon_H192 zenon_H1d5 zenon_H19d zenon_H109 zenon_H201 zenon_H1c2 zenon_H12e zenon_H23d zenon_H1d8 zenon_H111 zenon_H26a zenon_H23c zenon_H183 zenon_H231 zenon_H13b zenon_H288 zenon_Hb2 zenon_H141 zenon_Hfa zenon_H47 zenon_H1b7 zenon_H179 zenon_H164 zenon_H1a2 zenon_H131 zenon_H6f zenon_H191 zenon_H16a zenon_H25 zenon_H4e zenon_H196 zenon_Hf0 zenon_H10c zenon_H13f zenon_Hb6 zenon_H7f zenon_H1f1 zenon_H195 zenon_H117 zenon_H1c3 zenon_Ha9 zenon_H77 zenon_H1cb zenon_H68 zenon_H48 zenon_H5c zenon_Ha0 zenon_H19a zenon_H18a.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.48/22.57 apply (zenon_L252_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.48/22.57 apply (zenon_L171_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.57 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.57 apply (zenon_L120_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.57 apply (zenon_L193_); trivial.
% 22.48/22.57 apply (zenon_L2207_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.57 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.57 apply (zenon_L53_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.57 apply (zenon_L393_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.48/22.57 apply (zenon_L2209_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.48/22.57 apply (zenon_L274_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.48/22.57 apply (zenon_L2124_); trivial.
% 22.48/22.57 apply (zenon_L269_); trivial.
% 22.48/22.57 (* end of lemma zenon_L2210_ *)
% 22.48/22.57 assert (zenon_L2211_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 22.48/22.57 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_H173 zenon_Hc4 zenon_H177 zenon_H10c zenon_H11a zenon_H209 zenon_H121 zenon_Ha9 zenon_Hf6.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.57 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.57 apply (zenon_L120_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.57 apply (zenon_L393_); trivial.
% 22.48/22.57 apply (zenon_L92_); trivial.
% 22.48/22.57 (* end of lemma zenon_L2211_ *)
% 22.48/22.57 assert (zenon_L2212_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False).
% 22.48/22.57 do 0 intro. intros zenon_H139 zenon_H47 zenon_H68 zenon_H2a zenon_H77 zenon_H13a zenon_Ha4 zenon_H173 zenon_H10c zenon_Hb6 zenon_H153 zenon_Ha9.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.57 apply (zenon_L251_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.57 apply (zenon_L147_); trivial.
% 22.48/22.57 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.57 apply (zenon_L94_); trivial.
% 22.48/22.57 apply (zenon_L598_); trivial.
% 22.48/22.57 (* end of lemma zenon_L2212_ *)
% 22.48/22.57 assert (zenon_L2213_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (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) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> False).
% 22.48/22.58 do 0 intro. intros zenon_H288 zenon_H13b zenon_H231 zenon_H183 zenon_H23c zenon_H26a zenon_H111 zenon_H1d8 zenon_H23d zenon_H12e zenon_H1c2 zenon_H201 zenon_H109 zenon_H19d zenon_H179 zenon_H1d5 zenon_H192 zenon_H82 zenon_H125 zenon_H121 zenon_H177 zenon_H11a zenon_H24e zenon_H1cd zenon_H104 zenon_H1fe zenon_H18a zenon_Hb2 zenon_Hfa zenon_H234 zenon_H141 zenon_H2c zenon_H164 zenon_H7d zenon_Hbc zenon_H212 zenon_H33 zenon_He4 zenon_H140 zenon_H1a8 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_Heb zenon_H236 zenon_H18d zenon_H189 zenon_H27e zenon_H186 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H139 zenon_H68 zenon_Ha4 zenon_Ha9 zenon_H13a zenon_H77 zenon_Hf5 zenon_H15d zenon_H9d zenon_H196 zenon_H9e zenon_H13f zenon_H7f zenon_H1f1 zenon_H48 zenon_H195 zenon_H5c zenon_H117 zenon_Hb6 zenon_H54 zenon_H10c zenon_Hf0 zenon_H191 zenon_Ha0.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.48/22.58 apply (zenon_L217_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.48/22.58 apply (zenon_L2204_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.48/22.58 apply (zenon_L2124_); trivial.
% 22.48/22.58 apply (zenon_L648_); trivial.
% 22.48/22.58 (* end of lemma zenon_L2213_ *)
% 22.48/22.58 assert (zenon_L2214_ : (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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 (e1) (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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 22.48/22.58 do 0 intro. intros zenon_Ha0 zenon_H191 zenon_Hf0 zenon_H10c zenon_Hb6 zenon_H117 zenon_H5c zenon_H195 zenon_H48 zenon_H1f1 zenon_H13f zenon_H196 zenon_H15d zenon_Hf5 zenon_H77 zenon_H13a zenon_Ha9 zenon_Ha4 zenon_H68 zenon_H139 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H25b zenon_H186 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_Heb zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H1a8 zenon_H140 zenon_He4 zenon_H33 zenon_H212 zenon_Hbc zenon_H164 zenon_H2c zenon_H141 zenon_H234 zenon_Hfa zenon_Hb2 zenon_H18a zenon_H1fe zenon_H104 zenon_H1cd zenon_H24e zenon_H11a zenon_H177 zenon_H121 zenon_H125 zenon_H82 zenon_H192 zenon_H1d5 zenon_H179 zenon_H19d zenon_H109 zenon_H201 zenon_H1c2 zenon_H12e zenon_H23d zenon_H1d8 zenon_H111 zenon_H26a zenon_H23c zenon_H183 zenon_H231 zenon_H13b zenon_H288 zenon_H25 zenon_H153 zenon_H2a zenon_H7d zenon_H7f.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.48/22.58 apply (zenon_L2212_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.48/22.58 apply (zenon_L25_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.58 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.58 apply (zenon_L53_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.58 apply (zenon_L95_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.48/22.58 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.58 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.48/22.58 apply (zenon_L116_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.48/22.58 apply (zenon_L151_); trivial.
% 22.48/22.58 apply (zenon_L2213_); trivial.
% 22.48/22.58 apply (zenon_L31_); trivial.
% 22.48/22.58 (* end of lemma zenon_L2214_ *)
% 22.48/22.58 assert (zenon_L2215_ : (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (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) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (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)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.58 do 0 intro. intros zenon_H209 zenon_Hc4 zenon_H7f zenon_H7d zenon_H2a zenon_H25 zenon_H288 zenon_H13b zenon_H231 zenon_H183 zenon_H23c zenon_H26a zenon_H111 zenon_H1d8 zenon_H23d zenon_H12e zenon_H1c2 zenon_H201 zenon_H109 zenon_H19d zenon_H179 zenon_H1d5 zenon_H192 zenon_H82 zenon_H125 zenon_H121 zenon_H177 zenon_H11a zenon_H24e zenon_H1cd zenon_H104 zenon_H1fe zenon_H18a zenon_Hb2 zenon_Hfa zenon_H234 zenon_H141 zenon_H2c zenon_H164 zenon_Hbc zenon_H212 zenon_H33 zenon_He4 zenon_H140 zenon_H1a8 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_Heb zenon_H236 zenon_H18d zenon_H189 zenon_H27e zenon_H186 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H139 zenon_H68 zenon_Ha4 zenon_Ha9 zenon_H13a zenon_H77 zenon_H15d zenon_H196 zenon_H13f zenon_H1f1 zenon_H48 zenon_H195 zenon_H117 zenon_Hb6 zenon_H10c zenon_Hf0 zenon_H191 zenon_Ha0 zenon_H5c zenon_Hf5.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.58 apply (zenon_L251_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.58 apply (zenon_L147_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.58 apply (zenon_L2210_); trivial.
% 22.48/22.58 apply (zenon_L2211_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.58 apply (zenon_L65_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.58 apply (zenon_L2214_); trivial.
% 22.48/22.58 apply (zenon_L192_); trivial.
% 22.48/22.58 (* end of lemma zenon_L2215_ *)
% 22.48/22.58 assert (zenon_L2216_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.58 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_H2a zenon_Hc4 zenon_H177 zenon_H11a zenon_H209 zenon_H121 zenon_H117 zenon_Ha0 zenon_H2d zenon_H10c zenon_Hf0 zenon_H191 zenon_H196.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.58 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.58 apply (zenon_L53_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.58 apply (zenon_L393_); trivial.
% 22.48/22.58 apply (zenon_L731_); trivial.
% 22.48/22.58 (* end of lemma zenon_L2216_ *)
% 22.48/22.58 assert (zenon_L2217_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e1)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((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 (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e1) (e1)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.48/22.58 do 0 intro. intros zenon_H16a zenon_H9e zenon_H105 zenon_Hdd zenon_H66 zenon_H111 zenon_H19d zenon_H125 zenon_H94 zenon_H179 zenon_H1a2 zenon_H1c3 zenon_H1d5 zenon_Hf5 zenon_H82 zenon_H5d zenon_H139 zenon_Ha0 zenon_H1cb zenon_H192 zenon_H164 zenon_Hb6 zenon_Ha4 zenon_H13a zenon_H2a zenon_H196 zenon_H121 zenon_H11a zenon_H236 zenon_Hfa zenon_Hbc zenon_H7d zenon_H212 zenon_H33 zenon_H141 zenon_H2c zenon_H234 zenon_He4 zenon_Ha9 zenon_H177 zenon_H4e zenon_H1cf zenon_H173 zenon_H140 zenon_H1a8 zenon_Hf0 zenon_H189 zenon_H15d zenon_H13f zenon_H1f1 zenon_H190 zenon_H6f zenon_H55 zenon_H266 zenon_H195 zenon_Hb2 zenon_H1ef zenon_H209 zenon_H1fe zenon_H61 zenon_H10c zenon_H117 zenon_H19a zenon_H1b7 zenon_H7f zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H5c zenon_H48 zenon_H68 zenon_H18a.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.48/22.58 apply (zenon_L2116_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.48/22.58 apply (zenon_L54_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.48/22.58 apply (zenon_L258_); trivial.
% 22.48/22.58 apply (zenon_L2154_); trivial.
% 22.48/22.58 (* end of lemma zenon_L2217_ *)
% 22.48/22.58 assert (zenon_L2218_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False).
% 22.48/22.58 do 0 intro. intros zenon_H117 zenon_H109 zenon_H9d zenon_H10c zenon_Hf0 zenon_H191 zenon_Ha0 zenon_H115.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.48/22.58 apply (zenon_L73_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.48/22.58 apply (zenon_L74_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.48/22.58 exact (zenon_H191 zenon_H110).
% 22.48/22.58 apply (zenon_L77_); trivial.
% 22.48/22.58 (* end of lemma zenon_L2218_ *)
% 22.48/22.58 assert (zenon_L2219_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (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)) = (e3)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.48/22.58 do 0 intro. intros zenon_H121 zenon_H115 zenon_Ha0 zenon_H191 zenon_Hf0 zenon_H109 zenon_H117 zenon_H11a zenon_H10c zenon_H1a3 zenon_Hc4.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 22.48/22.58 apply (zenon_L2218_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 22.48/22.58 apply (zenon_L79_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 22.48/22.58 exact (zenon_H1a3 zenon_Hbb).
% 22.48/22.58 exact (zenon_Hc4 zenon_Hc3).
% 22.48/22.58 (* end of lemma zenon_L2219_ *)
% 22.48/22.58 assert (zenon_L2220_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 22.48/22.58 do 0 intro. intros zenon_H13b zenon_H34 zenon_H179 zenon_H2a zenon_H173 zenon_H1a3 zenon_H191 zenon_Ha0 zenon_H153 zenon_Hb6 zenon_H1a2 zenon_H48 zenon_H5c.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.48/22.58 apply (zenon_L297_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.48/22.58 apply (zenon_L272_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.48/22.58 apply (zenon_L1265_); trivial.
% 22.48/22.58 apply (zenon_L157_); trivial.
% 22.48/22.58 (* end of lemma zenon_L2220_ *)
% 22.48/22.58 assert (zenon_L2221_ : (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (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 (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.58 do 0 intro. intros zenon_Ha9 zenon_Ha0 zenon_H10c zenon_H173 zenon_Ha4 zenon_H13a zenon_H68 zenon_H15d zenon_H139 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H73 zenon_H1ec zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H266 zenon_H1ef zenon_H13c zenon_H1cb zenon_H1c6 zenon_H25b zenon_H186 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_Heb zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H1a8 zenon_H140 zenon_He4 zenon_H33 zenon_H212 zenon_Hbc zenon_H7d zenon_H2c zenon_H234 zenon_H18a zenon_H1fe zenon_H104 zenon_H1cd zenon_H24e zenon_H11a zenon_H177 zenon_H121 zenon_H125 zenon_H82 zenon_H1d5 zenon_H19d zenon_H109 zenon_H201 zenon_H1c2 zenon_H12e zenon_H23d zenon_H1d8 zenon_H111 zenon_H26a zenon_H23c zenon_H183 zenon_H231 zenon_H13b zenon_H288 zenon_Hb2 zenon_H77 zenon_H141 zenon_Hfa zenon_H196 zenon_H13f zenon_H1f1 zenon_H19a zenon_H1b7 zenon_H179 zenon_H25 zenon_H164 zenon_Hb6 zenon_H1a2 zenon_H131 zenon_H6f zenon_H117 zenon_Hf0 zenon_H191 zenon_H16a zenon_H195 zenon_H7f zenon_H192 zenon_H48 zenon_H31 zenon_H5c zenon_Hf5.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.58 apply (zenon_L2209_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.58 apply (zenon_L146_); trivial.
% 22.48/22.58 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.58 apply (zenon_L239_); trivial.
% 22.48/22.58 apply (zenon_L192_); trivial.
% 22.48/22.58 (* end of lemma zenon_L2221_ *)
% 22.48/22.58 assert (zenon_L2222_ : (~((e0) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e1) (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 (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H68 zenon_H18d zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H7f zenon_H1b7 zenon_H19a zenon_H183 zenon_H1c2 zenon_H1c3 zenon_H6e zenon_H192 zenon_H104 zenon_H231 zenon_H105 zenon_H1cd zenon_H1cb zenon_Hdd zenon_H33 zenon_H140 zenon_H195 zenon_H1f1 zenon_H13f zenon_H61 zenon_Hbc zenon_H173 zenon_H1cf zenon_Ha9 zenon_H47 zenon_Hb6 zenon_H13a zenon_H4e zenon_H1ef zenon_Hfa zenon_H16a zenon_H5c zenon_H48 zenon_Hc4 zenon_H1a3 zenon_H10c zenon_H11a zenon_H117 zenon_H109 zenon_Hf0 zenon_H191 zenon_Ha0 zenon_H121 zenon_H34 zenon_H18a.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.48/22.59 apply (zenon_L1344_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.48/22.59 apply (zenon_L157_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.48/22.59 apply (zenon_L2219_); trivial.
% 22.48/22.59 apply (zenon_L416_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2222_ *)
% 22.48/22.59 assert (zenon_L2223_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> False).
% 22.48/22.59 do 0 intro. intros zenon_Hf5 zenon_H5c zenon_H192 zenon_H7f zenon_H117 zenon_H109 zenon_Hf0 zenon_H191 zenon_H195 zenon_H1f1 zenon_H13f zenon_H196 zenon_H201 zenon_H186 zenon_H18a zenon_H16a zenon_Hfa zenon_H1ef zenon_H4e zenon_H1cf zenon_Hbc zenon_H61 zenon_H140 zenon_H1cb zenon_H231 zenon_H104 zenon_H1c3 zenon_H1c2 zenon_H183 zenon_H19a zenon_H1b7 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_H18d zenon_H1cd zenon_H141 zenon_Ha4 zenon_H283 zenon_H163 zenon_H73 zenon_H1ec zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H266 zenon_H13c zenon_H1c6 zenon_H25b zenon_H27e zenon_H189 zenon_H236 zenon_Heb zenon_H282 zenon_Hcc zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H25e zenon_H284 zenon_H1a8 zenon_He4 zenon_H212 zenon_H7d zenon_H2c zenon_H234 zenon_H1fe zenon_H24e zenon_H125 zenon_H82 zenon_H1d5 zenon_H19d zenon_H12e zenon_H23d zenon_H1d8 zenon_H111 zenon_H26a zenon_H23c zenon_H13b zenon_H288 zenon_Hb2 zenon_H179 zenon_H164 zenon_H1a2 zenon_H131 zenon_H6f zenon_H15d zenon_H68 zenon_Ha9 zenon_H77 zenon_H139 zenon_H209 zenon_H177 zenon_Ha0 zenon_Hb6 zenon_H10c zenon_H173 zenon_H121 zenon_H33 zenon_H11a zenon_H1a3 zenon_Hc4 zenon_H13a zenon_H48.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.59 apply (zenon_L13_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.59 apply (zenon_L146_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.48/22.59 apply (zenon_L13_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.48/22.59 apply (zenon_L17_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.59 apply (zenon_L20_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.48/22.59 apply (zenon_L20_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.59 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.59 apply (zenon_L110_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.59 apply (zenon_L95_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.48/22.59 apply (zenon_L731_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.48/22.59 apply (zenon_L2122_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.48/22.59 apply (zenon_L2124_); trivial.
% 22.48/22.59 apply (zenon_L648_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.48/22.59 apply (zenon_L33_); trivial.
% 22.48/22.59 apply (zenon_L2125_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.59 apply (zenon_L94_); trivial.
% 22.48/22.59 apply (zenon_L598_); trivial.
% 22.48/22.59 apply (zenon_L31_); trivial.
% 22.48/22.59 apply (zenon_L192_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.59 apply (zenon_L161_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.48/22.59 apply (zenon_L2215_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.48/22.59 apply (zenon_L2216_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.59 apply (zenon_L251_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.59 apply (zenon_L147_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.59 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.59 apply (zenon_L120_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.59 apply (zenon_L393_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.48/22.59 apply (zenon_L2215_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.48/22.59 apply (zenon_L272_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.48/22.59 apply (zenon_L147_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.48/22.59 apply (zenon_L359_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.48/22.59 apply (zenon_L1316_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.48/22.59 apply (zenon_L117_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.48/22.59 apply (zenon_L2217_); trivial.
% 22.48/22.59 apply (zenon_L331_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.48/22.59 apply (zenon_L2124_); trivial.
% 22.48/22.59 apply (zenon_L2219_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.48/22.59 apply (zenon_L731_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.48/22.59 apply (zenon_L54_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.48/22.59 apply (zenon_L365_); trivial.
% 22.48/22.59 apply (zenon_L2219_); trivial.
% 22.48/22.59 apply (zenon_L169_); trivial.
% 22.48/22.59 apply (zenon_L157_); trivial.
% 22.48/22.59 apply (zenon_L2211_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.59 apply (zenon_L65_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.59 apply (zenon_L2220_); trivial.
% 22.48/22.59 apply (zenon_L192_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.59 apply (zenon_L2128_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.48/22.59 apply (zenon_L2221_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.48/22.59 apply (zenon_L2115_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.59 apply (zenon_L251_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.59 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.59 apply (zenon_L110_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.59 apply (zenon_L68_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.48/22.59 apply (zenon_L2113_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.48/22.59 apply (zenon_L239_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.48/22.59 apply (zenon_L138_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.48/22.59 apply (zenon_L2222_); trivial.
% 22.48/22.59 apply (zenon_L331_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.48/22.59 apply (zenon_L2124_); trivial.
% 22.48/22.59 apply (zenon_L2219_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.59 apply (zenon_L264_); trivial.
% 22.48/22.59 apply (zenon_L2112_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.59 apply (zenon_L146_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.59 apply (zenon_L239_); trivial.
% 22.48/22.59 apply (zenon_L192_); trivial.
% 22.48/22.59 apply (zenon_L1253_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2223_ *)
% 22.48/22.59 assert (zenon_L2224_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (((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))) -> (~((e0) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H16a zenon_Hdd zenon_H181 zenon_H1c2 zenon_H1cf zenon_H4e zenon_H54 zenon_He4 zenon_H177 zenon_H139 zenon_H234 zenon_H104 zenon_H121 zenon_H11a zenon_H1cd zenon_H24e zenon_Hc4 zenon_H2c zenon_H141 zenon_H164 zenon_H1e zenon_H33 zenon_H1b7 zenon_H212 zenon_H7d zenon_Hbc zenon_H209 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_H18d zenon_H61 zenon_H1fe zenon_H1ef zenon_Ha4 zenon_Hb2 zenon_Hf5 zenon_H192 zenon_H266 zenon_H55 zenon_H6f zenon_H190 zenon_H15d zenon_H189 zenon_H1a8 zenon_H13a zenon_Hfa zenon_H236 zenon_H6e zenon_H173 zenon_H18a zenon_H102 zenon_H19a zenon_Ha0 zenon_H9e zenon_H5c zenon_H48 zenon_H68 zenon_H1cb zenon_H77 zenon_Ha9 zenon_H1c3 zenon_H117 zenon_H1f1 zenon_H7f zenon_Hb6 zenon_H13f zenon_H10c zenon_Hf0 zenon_H196 zenon_H153 zenon_H140 zenon_H195.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.48/22.59 apply (zenon_L2117_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.48/22.59 apply (zenon_L21_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.48/22.59 apply (zenon_L1124_); trivial.
% 22.48/22.59 apply (zenon_L2145_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2224_ *)
% 22.48/22.59 assert (zenon_L2225_ : ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H7f zenon_H7d zenon_Ha0 zenon_H191 zenon_Hf0 zenon_H117 zenon_H195 zenon_H48 zenon_H1f1 zenon_H13f zenon_H196 zenon_H16a zenon_H181 zenon_H1c2 zenon_H1cf zenon_H4e zenon_He4 zenon_H177 zenon_H139 zenon_H234 zenon_H104 zenon_H121 zenon_H11a zenon_H1cd zenon_H24e zenon_Hc4 zenon_H2c zenon_H141 zenon_H164 zenon_H1e zenon_H33 zenon_H1b7 zenon_H212 zenon_Hbc zenon_H209 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_H18d zenon_H61 zenon_H1fe zenon_H1ef zenon_Hb2 zenon_H192 zenon_H266 zenon_H55 zenon_H6f zenon_H190 zenon_H15d zenon_H189 zenon_H1a8 zenon_Hfa zenon_H236 zenon_H18a zenon_H19a zenon_H68 zenon_H1cb zenon_H1c3 zenon_H140 zenon_H82 zenon_H5d zenon_H125 zenon_H77 zenon_H13a zenon_Ha4 zenon_H173 zenon_H10c zenon_Hb6 zenon_Ha9 zenon_H5c zenon_Hf5.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.59 apply (zenon_L13_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.59 apply (zenon_L146_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.48/22.59 apply (zenon_L13_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.48/22.59 apply (zenon_L18_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.59 apply (zenon_L20_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.48/22.59 apply (zenon_L20_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.59 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.59 apply (zenon_L110_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.59 apply (zenon_L393_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.48/22.59 apply (zenon_L731_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.48/22.59 apply (zenon_L2122_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.48/22.59 apply (zenon_L2124_); trivial.
% 22.48/22.59 apply (zenon_L209_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.48/22.59 apply (zenon_L33_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.59 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.59 apply (zenon_L120_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.59 apply (zenon_L95_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.48/22.59 apply (zenon_L217_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.48/22.59 apply (zenon_L2224_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.48/22.59 apply (zenon_L2124_); trivial.
% 22.48/22.59 apply (zenon_L648_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.59 apply (zenon_L94_); trivial.
% 22.48/22.59 apply (zenon_L598_); trivial.
% 22.48/22.59 apply (zenon_L31_); trivial.
% 22.48/22.59 apply (zenon_L192_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2225_ *)
% 22.48/22.59 assert (zenon_L2226_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((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) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (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) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H18a zenon_H68 zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H1b7 zenon_H19a zenon_H61 zenon_H1fe zenon_H209 zenon_H1ef zenon_Hb2 zenon_H266 zenon_H55 zenon_H6f zenon_H190 zenon_H15d zenon_H189 zenon_H1a8 zenon_H140 zenon_H173 zenon_H1cf zenon_H4e zenon_H177 zenon_Ha9 zenon_He4 zenon_H234 zenon_H2c zenon_H141 zenon_H33 zenon_H212 zenon_H7d zenon_Hbc zenon_Hfa zenon_H236 zenon_H11a zenon_H121 zenon_H2a zenon_H13a zenon_Ha4 zenon_H164 zenon_H192 zenon_H1cb zenon_H139 zenon_H5d zenon_H82 zenon_Hf5 zenon_H1d5 zenon_H1c3 zenon_H1a2 zenon_H179 zenon_H94 zenon_H125 zenon_H19d zenon_Hef zenon_H153 zenon_H16a zenon_H196 zenon_H9e zenon_H13f zenon_H7f zenon_H1f1 zenon_H48 zenon_H195 zenon_H5c zenon_H117 zenon_Hb6 zenon_H54 zenon_H10c zenon_Hf0 zenon_H191 zenon_Ha0.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.48/22.59 apply (zenon_L731_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.48/22.59 apply (zenon_L497_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.48/22.59 apply (zenon_L61_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.48/22.59 apply (zenon_L155_); trivial.
% 22.48/22.59 apply (zenon_L2154_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.48/22.59 apply (zenon_L2124_); trivial.
% 22.48/22.59 apply (zenon_L648_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2226_ *)
% 22.48/22.59 assert (zenon_L2227_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (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) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H141 zenon_H191 zenon_H121 zenon_H209 zenon_H11a zenon_H177 zenon_Hc4 zenon_H2a zenon_Ha4 zenon_H13a zenon_H6d zenon_H196 zenon_Ha0 zenon_Hf0 zenon_H10c zenon_H13f zenon_Hb6 zenon_H7f zenon_H1f1 zenon_H48 zenon_H195 zenon_H117 zenon_H1c3 zenon_H9e zenon_Ha9 zenon_H77 zenon_H5c zenon_H68 zenon_H181.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.48/22.59 apply (zenon_L2216_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.48/22.59 apply (zenon_L54_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.48/22.59 apply (zenon_L2124_); trivial.
% 22.48/22.59 apply (zenon_L209_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2227_ *)
% 22.48/22.59 assert (zenon_L2228_ : ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H54 zenon_H16a zenon_H153 zenon_H19d zenon_H125 zenon_H94 zenon_H179 zenon_H1a2 zenon_H1d5 zenon_Hf5 zenon_H82 zenon_H5d zenon_H139 zenon_H1cb zenon_H192 zenon_H164 zenon_H236 zenon_Hfa zenon_Hbc zenon_H7d zenon_H212 zenon_H33 zenon_H2c zenon_H234 zenon_He4 zenon_H4e zenon_H1cf zenon_H173 zenon_H140 zenon_H1a8 zenon_H189 zenon_H15d zenon_H190 zenon_H6f zenon_H55 zenon_H266 zenon_Hb2 zenon_H1ef zenon_H1fe zenon_H61 zenon_H19a zenon_H1b7 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_H18d zenon_H18a zenon_H181 zenon_H68 zenon_H5c zenon_Ha9 zenon_H1c3 zenon_H117 zenon_H195 zenon_H48 zenon_H1f1 zenon_Hb6 zenon_H13f zenon_H10c zenon_Hf0 zenon_Ha0 zenon_H196 zenon_H13a zenon_Ha4 zenon_H2a zenon_Hc4 zenon_H177 zenon_H11a zenon_H209 zenon_H121 zenon_H191 zenon_H141 zenon_H7f zenon_H77.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.59 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.59 apply (zenon_L53_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.59 apply (zenon_L95_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.48/22.59 apply (zenon_L147_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.48/22.59 apply (zenon_L2226_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.48/22.59 apply (zenon_L2227_); trivial.
% 22.48/22.59 apply (zenon_L169_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2228_ *)
% 22.48/22.59 assert (zenon_L2229_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> ((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))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H16a zenon_H196 zenon_H9e zenon_H105 zenon_Hb6 zenon_Hdd zenon_H117 zenon_H6f zenon_H181 zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H192 zenon_H183 zenon_Hc4 zenon_H1cb zenon_H1bb zenon_H77 zenon_H104 zenon_H12e zenon_H13a zenon_Ha4 zenon_Ha9 zenon_H6e zenon_H31 zenon_H19a zenon_Ha0 zenon_H5c zenon_H48 zenon_H68 zenon_H34 zenon_H18a.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.48/22.59 apply (zenon_L2116_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.48/22.59 apply (zenon_L21_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.48/22.59 apply (zenon_L1509_); trivial.
% 22.48/22.59 apply (zenon_L2185_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2229_ *)
% 22.48/22.59 assert (zenon_L2230_ : ((op (e2) (e0)) = (e3)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 22.48/22.59 do 0 intro. intros zenon_Ha8 zenon_H1a3 zenon_H1cd zenon_H7f zenon_H105 zenon_H231 zenon_H104 zenon_H192 zenon_H6e zenon_H1c2 zenon_H18a zenon_H183 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H48 zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_H283 zenon_H1b4 zenon_H38 zenon_H20f zenon_H5c zenon_H129 zenon_H1bb.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.48/22.59 apply (zenon_L43_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.48/22.59 apply (zenon_L21_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.48/22.59 apply (zenon_L1275_); trivial.
% 22.48/22.59 apply (zenon_L1236_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2230_ *)
% 22.48/22.59 assert (zenon_L2231_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (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)) = (e3)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H13f zenon_Hdd zenon_H162 zenon_H121 zenon_Ha0 zenon_H191 zenon_Hf0 zenon_H109 zenon_H117 zenon_H11a zenon_H10c zenon_H1a3 zenon_Hc4 zenon_H48 zenon_Ha8 zenon_H1cd zenon_H7f zenon_H231 zenon_H104 zenon_H192 zenon_H6e zenon_H1c2 zenon_H18a zenon_H183 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H236 zenon_H18d zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H68 zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H77 zenon_H139 zenon_H13c zenon_Hb6 zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H13a zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H195 zenon_H5c.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.48/22.59 apply (zenon_L151_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.48/22.59 apply (zenon_L111_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.48/22.59 apply (zenon_L2230_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.48/22.59 apply (zenon_L157_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.48/22.59 apply (zenon_L2219_); trivial.
% 22.48/22.59 exact (zenon_H162 zenon_H167).
% 22.48/22.59 apply (zenon_L149_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2231_ *)
% 22.48/22.59 assert (zenon_L2232_ : ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (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 (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e1) (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 (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H5c zenon_H195 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H77 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H18d zenon_H236 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H183 zenon_H18a zenon_H1c2 zenon_H6e zenon_H192 zenon_H104 zenon_H231 zenon_H7f zenon_H1cd zenon_H48 zenon_Hc4 zenon_H1a3 zenon_H10c zenon_H11a zenon_H117 zenon_H109 zenon_Hf0 zenon_H121 zenon_H162 zenon_H13f zenon_Ha0 zenon_Hdd zenon_H191 zenon_H9e zenon_H196.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.48/22.59 apply (zenon_L2231_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.48/22.59 apply (zenon_L152_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.48/22.59 exact (zenon_H191 zenon_H110).
% 22.48/22.59 apply (zenon_L154_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2232_ *)
% 22.48/22.59 assert (zenon_L2233_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e1) (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 (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H19a zenon_H1fb zenon_H2a zenon_H5c zenon_H48 zenon_Hc4 zenon_H1a3 zenon_H10c zenon_H11a zenon_H117 zenon_H109 zenon_Hf0 zenon_H191 zenon_Ha0 zenon_H121 zenon_H162.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.48/22.59 apply (zenon_L316_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.48/22.59 apply (zenon_L157_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.48/22.59 apply (zenon_L2219_); trivial.
% 22.48/22.59 exact (zenon_H162 zenon_H167).
% 22.48/22.59 (* end of lemma zenon_L2233_ *)
% 22.48/22.59 assert (zenon_L2234_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_H173 zenon_H10c zenon_H66 zenon_H19a zenon_Ha0 zenon_H48 zenon_H181 zenon_H68 zenon_H5c zenon_H77 zenon_Ha9 zenon_H1c3 zenon_H162.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.48/22.59 exact (zenon_Ha4 zenon_H9f).
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.48/22.59 apply (zenon_L120_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.48/22.59 apply (zenon_L193_); trivial.
% 22.48/22.59 apply (zenon_L210_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2234_ *)
% 22.48/22.59 assert (zenon_L2235_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (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 (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H13f zenon_H48 zenon_H7f zenon_H1f1 zenon_H196 zenon_Hf6 zenon_H266 zenon_H2d zenon_H55 zenon_H190 zenon_Hf0 zenon_H10c zenon_Hef zenon_H68 zenon_H16a zenon_H195 zenon_H5c.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.48/22.59 apply (zenon_L217_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.48/22.59 apply (zenon_L284_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.48/22.59 apply (zenon_L27_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.48/22.59 apply (zenon_L61_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.48/22.59 apply (zenon_L1263_); trivial.
% 22.48/22.59 apply (zenon_L167_); trivial.
% 22.48/22.59 apply (zenon_L149_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2235_ *)
% 22.48/22.59 assert (zenon_L2236_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H164 zenon_H25 zenon_H179 zenon_H2a zenon_H192 zenon_H14c zenon_H104 zenon_H162.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.48/22.59 apply (zenon_L297_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.48/22.59 apply (zenon_L292_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.48/22.59 apply (zenon_L257_); trivial.
% 22.48/22.59 exact (zenon_H162 zenon_H167).
% 22.48/22.59 (* end of lemma zenon_L2236_ *)
% 22.48/22.59 assert (zenon_L2237_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H82 zenon_Ha9 zenon_H153 zenon_Hb6 zenon_H10c zenon_H173 zenon_Ha4 zenon_H13a zenon_H77 zenon_H2a zenon_H68 zenon_H139 zenon_H5d zenon_H61 zenon_H48 zenon_H2d zenon_H7d zenon_H7f.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.48/22.59 apply (zenon_L2212_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.48/22.59 apply (zenon_L18_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.48/22.59 apply (zenon_L217_); trivial.
% 22.48/22.59 apply (zenon_L31_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2237_ *)
% 22.48/22.59 assert (zenon_L2238_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H15d zenon_H117 zenon_H191 zenon_H19a zenon_Ha0 zenon_H162 zenon_H13f zenon_H1f1 zenon_H196 zenon_H266 zenon_H55 zenon_H190 zenon_Hf0 zenon_H16a zenon_H195 zenon_H1a8 zenon_H181 zenon_H1c3 zenon_H7f zenon_H7d zenon_H2d zenon_H48 zenon_H61 zenon_H5d zenon_H139 zenon_H68 zenon_H2a zenon_H77 zenon_H13a zenon_Ha4 zenon_H173 zenon_H10c zenon_Hb6 zenon_Ha9 zenon_H82 zenon_H5c zenon_Hf5.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.59 apply (zenon_L251_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.59 apply (zenon_L147_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.59 apply (zenon_L2234_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.48/22.59 apply (zenon_L147_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.48/22.59 apply (zenon_L2235_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.48/22.59 apply (zenon_L67_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.48/22.59 apply (zenon_L289_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.48/22.59 exact (zenon_H191 zenon_H110).
% 22.48/22.59 apply (zenon_L166_); trivial.
% 22.48/22.59 apply (zenon_L169_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.59 apply (zenon_L65_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.59 apply (zenon_L2237_); trivial.
% 22.48/22.59 apply (zenon_L192_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2238_ *)
% 22.48/22.59 assert (zenon_L2239_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H121 zenon_H115 zenon_H191 zenon_Hf0 zenon_H10c zenon_H109 zenon_H117 zenon_H1c7 zenon_H11d zenon_Ha0 zenon_Hc4.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 22.48/22.59 apply (zenon_L2218_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 22.48/22.59 exact (zenon_H1c7 zenon_Hac).
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 22.48/22.59 apply (zenon_L80_); trivial.
% 22.48/22.59 exact (zenon_Hc4 zenon_Hc3).
% 22.48/22.59 (* end of lemma zenon_L2239_ *)
% 22.48/22.59 assert (zenon_L2240_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e2) = (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))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 22.48/22.59 do 0 intro. intros zenon_H192 zenon_H195 zenon_H16a zenon_H6f zenon_H131 zenon_H1a2 zenon_H164 zenon_H179 zenon_H1b7 zenon_H19a zenon_H1f1 zenon_H13f zenon_Hfa zenon_H141 zenon_Hb2 zenon_H288 zenon_H13b zenon_H183 zenon_H23c zenon_H26a zenon_H111 zenon_H1d8 zenon_H23d zenon_H12e zenon_H1c2 zenon_H109 zenon_H19d zenon_H1d5 zenon_H82 zenon_H125 zenon_H121 zenon_H177 zenon_H11a zenon_H24e zenon_H1fe zenon_H18a zenon_H234 zenon_H2c zenon_H7d zenon_H212 zenon_H33 zenon_He4 zenon_H140 zenon_H1a8 zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_Heb zenon_H236 zenon_H18d zenon_H189 zenon_H27e zenon_H25b zenon_H1c6 zenon_H13c zenon_H1ef zenon_H266 zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H1ec zenon_H73 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hf5 zenon_H5c zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H117 zenon_Ha0 zenon_H10c zenon_Hf0 zenon_H191 zenon_H196 zenon_H139 zenon_H77 zenon_H68 zenon_H173 zenon_Ha9 zenon_H15d zenon_H201 zenon_H48 zenon_H31 zenon_H186 zenon_H61 zenon_Hc2 zenon_Hbc zenon_H104 zenon_H1bb zenon_H1cb zenon_H120 zenon_H162 zenon_H231 zenon_Hcb zenon_H1cd zenon_H7f.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.59 apply (zenon_L2128_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.48/22.59 apply (zenon_L2221_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.48/22.59 apply (zenon_L2115_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.48/22.59 apply (zenon_L239_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.48/22.59 apply (zenon_L335_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.48/22.59 apply (zenon_L1321_); trivial.
% 22.48/22.59 apply (zenon_L331_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2240_ *)
% 22.48/22.59 assert (zenon_L2241_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (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) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((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).
% 22.48/22.59 do 0 intro. intros zenon_H15d zenon_H173 zenon_H10c zenon_H13f zenon_H1f1 zenon_H120 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H266 zenon_H55 zenon_H190 zenon_Hf0 zenon_H6f zenon_H16a zenon_H195 zenon_H5c zenon_H192 zenon_H7f zenon_H7d zenon_H2d zenon_H61 zenon_H5d zenon_H139 zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_H13a zenon_H77 zenon_H68 zenon_H82 zenon_H38 zenon_H48.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.59 apply (zenon_L251_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.48/22.59 apply (zenon_L217_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.48/22.59 apply (zenon_L284_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.48/22.59 apply (zenon_L27_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.48/22.59 apply (zenon_L21_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.48/22.59 apply (zenon_L1263_); trivial.
% 22.48/22.59 apply (zenon_L555_); trivial.
% 22.48/22.59 apply (zenon_L149_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.59 apply (zenon_L1249_); trivial.
% 22.48/22.59 apply (zenon_L165_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.59 apply (zenon_L146_); trivial.
% 22.48/22.59 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.59 apply (zenon_L1341_); trivial.
% 22.48/22.59 apply (zenon_L246_); trivial.
% 22.48/22.59 (* end of lemma zenon_L2241_ *)
% 22.48/22.59 assert (zenon_L2242_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (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) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e3) (e1)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.48/22.60 do 0 intro. intros zenon_H15d zenon_H173 zenon_H201 zenon_H186 zenon_H231 zenon_H104 zenon_Hc2 zenon_H1cd zenon_H192 zenon_H68 zenon_H38 zenon_H77 zenon_H121 zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_H33 zenon_H13a zenon_H11a zenon_H10c zenon_H1a3 zenon_Hc4 zenon_Hfa zenon_H1cf zenon_H1d5 zenon_H4e zenon_H190 zenon_H1bb zenon_H162 zenon_H120 zenon_H1cb zenon_Hbc zenon_H191 zenon_H48 zenon_H140 zenon_H7f zenon_H141 zenon_H34 zenon_H109 zenon_H1a2 zenon_H196 zenon_H156 zenon_H1a8 zenon_H139 zenon_H5c zenon_Hf5.
% 22.48/22.60 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.48/22.60 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.60 apply (zenon_L251_); trivial.
% 22.48/22.60 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.60 apply (zenon_L1311_); trivial.
% 22.48/22.60 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.60 apply (zenon_L1249_); trivial.
% 22.48/22.60 apply (zenon_L165_); trivial.
% 22.48/22.60 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.48/22.60 apply (zenon_L146_); trivial.
% 22.48/22.60 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.48/22.60 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.48/22.60 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.48/22.60 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.48/22.60 apply (zenon_L1558_); trivial.
% 22.48/22.60 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.48/22.60 apply (zenon_L1316_); trivial.
% 22.48/22.60 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.48/22.60 apply (zenon_L1312_); trivial.
% 22.48/22.60 apply (zenon_L169_); trivial.
% 22.48/22.60 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.48/22.60 apply (zenon_L1316_); trivial.
% 22.48/22.60 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.48/22.60 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.48/22.60 apply (zenon_L1558_); trivial.
% 22.48/22.60 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.48/22.60 apply (zenon_L100_); trivial.
% 22.48/22.60 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.48/22.60 apply (zenon_L1479_); trivial.
% 22.48/22.60 apply (zenon_L169_); trivial.
% 22.48/22.60 apply (zenon_L206_); trivial.
% 22.48/22.60 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.48/22.60 apply (zenon_L1558_); trivial.
% 22.48/22.60 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.48/22.60 apply (zenon_L94_); trivial.
% 22.48/22.60 apply (zenon_L165_); trivial.
% 22.48/22.60 apply (zenon_L192_); trivial.
% 22.48/22.60 (* end of lemma zenon_L2242_ *)
% 22.48/22.60 assert (zenon_L2243_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (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) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (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 (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 22.48/22.60 do 0 intro. intros zenon_Hcb zenon_H15d zenon_H121 zenon_Hc4 zenon_H10c zenon_H11a zenon_H33 zenon_H173 zenon_Hb6 zenon_Ha0 zenon_H38 zenon_H13a zenon_H7f zenon_H192 zenon_H48 zenon_H77 zenon_H125 zenon_Ha9 zenon_Hb2 zenon_H141 zenon_H61 zenon_He4 zenon_H1f1 zenon_H195 zenon_H13f zenon_H5c zenon_H234 zenon_H109 zenon_Hf0 zenon_H191 zenon_H183 zenon_H19a zenon_H162 zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H196 zenon_H139 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H18a zenon_H140 zenon_Hfa zenon_H68 zenon_H7d zenon_H82 zenon_H120 zenon_H1d5 zenon_H1a8 zenon_H201 zenon_H1cd zenon_H231 zenon_H104 zenon_Hbc zenon_Hc2 zenon_H1fe.
% 22.48/22.60 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.48/22.60 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.48/22.60 apply (zenon_L1334_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.60 apply (zenon_L1340_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.60 apply (zenon_L2241_); trivial.
% 22.56/22.60 apply (zenon_L2242_); trivial.
% 22.56/22.60 apply (zenon_L433_); trivial.
% 22.56/22.60 (* end of lemma zenon_L2243_ *)
% 22.56/22.60 assert (zenon_L2244_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> False).
% 22.56/22.60 do 0 intro. intros zenon_H236 zenon_H1f zenon_H205 zenon_H68 zenon_H66 zenon_H63 zenon_H173 zenon_H10c zenon_Ha9 zenon_Ha0 zenon_H13a.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.60 exact (zenon_H1f zenon_H1e).
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.60 exact (zenon_H205 zenon_H2a).
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.60 apply (zenon_L264_); trivial.
% 22.56/22.60 apply (zenon_L1349_); trivial.
% 22.56/22.60 (* end of lemma zenon_L2244_ *)
% 22.56/22.60 assert (zenon_L2245_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.56/22.60 do 0 intro. intros zenon_H204 zenon_H1d5 zenon_Ha4 zenon_H23d zenon_H1f zenon_H68 zenon_H66 zenon_H63 zenon_H13a zenon_Ha0 zenon_Ha9 zenon_H10c zenon_H173 zenon_H236.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.56/22.60 apply (zenon_L2244_); trivial.
% 22.56/22.60 apply (zenon_L601_); trivial.
% 22.56/22.60 (* end of lemma zenon_L2245_ *)
% 22.56/22.60 assert (zenon_L2246_ : ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e3)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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 (e1) (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> False).
% 22.56/22.60 do 0 intro. intros zenon_H31 zenon_H6c zenon_H9e zenon_Hdd zenon_H9d zenon_H5c zenon_H10c zenon_H15d zenon_Hf5 zenon_H48 zenon_Hb6 zenon_H77 zenon_H13a zenon_Hf0 zenon_H196 zenon_H117 zenon_Ha0 zenon_Ha9 zenon_Ha4 zenon_H68 zenon_H139 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H25b zenon_H186 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_Heb zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H1a8 zenon_H140 zenon_He4 zenon_H33 zenon_H212 zenon_Hbc zenon_H7d zenon_H164 zenon_H2c zenon_H141 zenon_H234 zenon_Hfa zenon_Hb2 zenon_H13f zenon_H1f1 zenon_H18a zenon_H1fe zenon_H104 zenon_H1cd zenon_H24e zenon_H11a zenon_H177 zenon_H121 zenon_H125 zenon_H82 zenon_H192 zenon_H1d5 zenon_H179 zenon_H19d zenon_H109 zenon_H201 zenon_H1c2 zenon_H12e zenon_H23d zenon_H1d8 zenon_H111 zenon_H26a zenon_H23c zenon_H183 zenon_H231 zenon_H13b zenon_H288.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.56/22.60 apply (zenon_L1874_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.56/22.60 apply (zenon_L484_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.56/22.60 apply (zenon_L111_); trivial.
% 22.56/22.60 apply (zenon_L2204_); trivial.
% 22.56/22.60 (* end of lemma zenon_L2246_ *)
% 22.56/22.60 assert (zenon_L2247_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.56/22.60 do 0 intro. intros zenon_H117 zenon_H109 zenon_H9d zenon_Hb6 zenon_H53 zenon_H14c zenon_Ha0 zenon_H9e zenon_H196.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.56/22.60 apply (zenon_L73_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.56/22.60 apply (zenon_L113_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.56/22.60 apply (zenon_L278_); trivial.
% 22.56/22.60 apply (zenon_L154_); trivial.
% 22.56/22.60 (* end of lemma zenon_L2247_ *)
% 22.56/22.60 assert (zenon_L2248_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (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) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> False).
% 22.56/22.60 do 0 intro. intros zenon_H31 zenon_H6e zenon_H288 zenon_H13b zenon_H231 zenon_H183 zenon_H23c zenon_H26a zenon_H111 zenon_H1d8 zenon_H23d zenon_H12e zenon_H1c2 zenon_H201 zenon_H19d zenon_H179 zenon_H1d5 zenon_H192 zenon_H82 zenon_H125 zenon_H121 zenon_H177 zenon_H11a zenon_H24e zenon_H1cd zenon_H104 zenon_H1fe zenon_H18a zenon_Hb2 zenon_Hfa zenon_H234 zenon_H141 zenon_H2c zenon_H164 zenon_H7d zenon_Hbc zenon_H212 zenon_H33 zenon_He4 zenon_H140 zenon_H1a8 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_Heb zenon_H236 zenon_H18d zenon_H189 zenon_H27e zenon_H186 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H139 zenon_H68 zenon_Ha4 zenon_Ha9 zenon_H13a zenon_H77 zenon_Hf5 zenon_H15d zenon_H196 zenon_H9e zenon_H13f zenon_Hb6 zenon_H7f zenon_H1f1 zenon_H48 zenon_H195 zenon_H5c zenon_H117 zenon_H109 zenon_H9d zenon_H10c zenon_Hf0 zenon_H191 zenon_Ha0.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.56/22.60 apply (zenon_L2111_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.56/22.60 apply (zenon_L2204_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.56/22.60 apply (zenon_L2124_); trivial.
% 22.56/22.60 apply (zenon_L2218_); trivial.
% 22.56/22.60 (* end of lemma zenon_L2248_ *)
% 22.56/22.60 assert (zenon_L2249_ : ((op (e0) (e2)) = (e1)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (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) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> False).
% 22.56/22.60 do 0 intro. intros zenon_H153 zenon_H288 zenon_H13b zenon_H231 zenon_H183 zenon_H23c zenon_H26a zenon_H111 zenon_H1d8 zenon_H23d zenon_H12e zenon_H1c2 zenon_H201 zenon_H109 zenon_H19d zenon_H179 zenon_H1d5 zenon_H192 zenon_H82 zenon_H125 zenon_H121 zenon_H177 zenon_H11a zenon_H24e zenon_H1cd zenon_H104 zenon_H1fe zenon_H18a zenon_Hb2 zenon_Hfa zenon_H234 zenon_H141 zenon_H2c zenon_H164 zenon_H7d zenon_Hbc zenon_H212 zenon_H33 zenon_He4 zenon_H140 zenon_H1a8 zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_Heb zenon_H236 zenon_H18d zenon_H189 zenon_H27e zenon_H186 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H139 zenon_H68 zenon_Ha4 zenon_Ha9 zenon_H13a zenon_H77 zenon_Hf5 zenon_H15d zenon_H9d zenon_H196 zenon_H9e zenon_H13f zenon_H1f1 zenon_H48 zenon_H195 zenon_H5c zenon_H117 zenon_Hb6 zenon_H54 zenon_H10c zenon_Hf0 zenon_H191 zenon_Ha0.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.56/22.60 apply (zenon_L738_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.56/22.60 apply (zenon_L484_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.56/22.60 apply (zenon_L15_); trivial.
% 22.56/22.60 apply (zenon_L2213_); trivial.
% 22.56/22.60 (* end of lemma zenon_L2249_ *)
% 22.56/22.60 assert (zenon_L2250_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 22.56/22.60 do 0 intro. intros zenon_H204 zenon_H236 zenon_H9e zenon_Ha0 zenon_H1f zenon_H9b zenon_H117 zenon_H196 zenon_H191 zenon_H10c zenon_Hf0 zenon_H13f zenon_H195 zenon_H1f1 zenon_H109 zenon_H15d zenon_Hf5 zenon_Ha4 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_H13c zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H25b zenon_H186 zenon_H27e zenon_H189 zenon_H18d zenon_Heb zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H1a8 zenon_H140 zenon_He4 zenon_H212 zenon_Hbc zenon_H7d zenon_H164 zenon_H2c zenon_H141 zenon_Hfa zenon_Hb2 zenon_H18a zenon_H1fe zenon_H104 zenon_H1cd zenon_H24e zenon_H11a zenon_H177 zenon_H121 zenon_H125 zenon_H82 zenon_H192 zenon_H1d5 zenon_H179 zenon_H19d zenon_H201 zenon_H1c2 zenon_H12e zenon_H23d zenon_H1d8 zenon_H111 zenon_H26a zenon_H23c zenon_H183 zenon_H231 zenon_H13b zenon_H288 zenon_H48 zenon_H68 zenon_H13a zenon_Ha9 zenon_Hb6 zenon_H9d zenon_H33 zenon_H139 zenon_H5c zenon_H234 zenon_H77 zenon_H240.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.56/22.60 apply (zenon_L1873_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.60 exact (zenon_H1f zenon_H1e).
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.60 exact (zenon_H205 zenon_H2a).
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.60 exact (zenon_H6c zenon_H67).
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.60 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.56/22.60 apply (zenon_L214_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.56/22.60 apply (zenon_L484_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.56/22.60 apply (zenon_L731_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.56/22.60 apply (zenon_L2246_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.56/22.60 apply (zenon_L2247_); trivial.
% 22.56/22.60 apply (zenon_L2218_); trivial.
% 22.56/22.60 apply (zenon_L2248_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.60 apply (zenon_L264_); trivial.
% 22.56/22.60 apply (zenon_L2112_); trivial.
% 22.56/22.60 apply (zenon_L1353_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.60 exact (zenon_H1f zenon_H1e).
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.60 exact (zenon_H4c zenon_H47).
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.60 apply (zenon_L65_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.60 exact (zenon_H4c zenon_H47).
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.60 apply (zenon_L17_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.60 apply (zenon_L2249_); trivial.
% 22.56/22.60 apply (zenon_L134_); trivial.
% 22.56/22.60 apply (zenon_L115_); trivial.
% 22.56/22.60 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.60 exact (zenon_H237 zenon_H31).
% 22.56/22.60 apply (zenon_L156_); trivial.
% 22.56/22.60 apply (zenon_L1861_); trivial.
% 22.56/22.60 (* end of lemma zenon_L2250_ *)
% 22.56/22.60 assert (zenon_L2251_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.56/22.60 do 0 intro. intros zenon_H15d zenon_Ha9 zenon_Hbb zenon_H177 zenon_H10c zenon_H173 zenon_H77 zenon_H139 zenon_H48 zenon_H196 zenon_Hb9 zenon_Hb6 zenon_H2a zenon_Ha0 zenon_Ha4 zenon_H13a zenon_H5c zenon_Hf5.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.61 apply (zenon_L251_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.61 apply (zenon_L986_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.61 apply (zenon_L2200_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.61 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.61 apply (zenon_L120_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.61 apply (zenon_L178_); trivial.
% 22.56/22.61 apply (zenon_L92_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.61 apply (zenon_L65_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.61 apply (zenon_L2202_); trivial.
% 22.56/22.61 apply (zenon_L192_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2251_ *)
% 22.56/22.61 assert (zenon_L2252_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H15d zenon_Ha9 zenon_H10c zenon_H173 zenon_H177 zenon_Hbb zenon_H77 zenon_H139 zenon_H196 zenon_Hb9 zenon_Ha0 zenon_Hb6 zenon_Ha4 zenon_H13a zenon_H48 zenon_H31 zenon_H5c zenon_Hf5.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.61 apply (zenon_L251_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.61 apply (zenon_L986_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.61 apply (zenon_L2200_); trivial.
% 22.56/22.61 apply (zenon_L2112_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.61 apply (zenon_L2189_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.61 apply (zenon_L239_); trivial.
% 22.56/22.61 apply (zenon_L192_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2252_ *)
% 22.56/22.61 assert (zenon_L2253_ : (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e2) (e3)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (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 (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_Ha4 zenon_H1fe zenon_Hb9 zenon_H13f zenon_H140 zenon_H1ba zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H1fb zenon_H26d zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H195 zenon_H189 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H196 zenon_H13c zenon_H1ef zenon_H266 zenon_H190 zenon_H13e zenon_H158 zenon_H156 zenon_H1ec zenon_H73 zenon_H131 zenon_H163 zenon_H283 zenon_Hbb zenon_H177 zenon_H139 zenon_Hfa zenon_H1cb zenon_H1c3 zenon_H4e zenon_H1d5 zenon_H1cf zenon_Hf0 zenon_H183 zenon_H288 zenon_H192 zenon_H10c zenon_H173 zenon_H179 zenon_H13b zenon_H18a zenon_H5c zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1b7 zenon_H19a zenon_H8b zenon_H6f zenon_H7b zenon_H16a zenon_H55 zenon_H234 zenon_H1d8 zenon_He4 zenon_H77 zenon_H68 zenon_H5d zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_H13a zenon_H82 zenon_H48.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.61 apply (zenon_L1355_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.61 apply (zenon_L2251_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.61 apply (zenon_L2252_); trivial.
% 22.56/22.61 apply (zenon_L1372_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2253_ *)
% 22.56/22.61 assert (zenon_L2254_ : (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e1)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (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))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_Ha4 zenon_H1fe zenon_H140 zenon_H10c zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H189 zenon_H27e zenon_H186 zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H1cb zenon_H196 zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_Hbb zenon_H177 zenon_H48 zenon_He4 zenon_H1d8 zenon_H234 zenon_H55 zenon_H141 zenon_H18a zenon_H68 zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H77 zenon_H1b7 zenon_H19a zenon_H8b zenon_H1ba zenon_H13f zenon_H111 zenon_H195 zenon_H16a zenon_H13d zenon_Ha0 zenon_Hb9 zenon_H5d zenon_H139 zenon_Hb6 zenon_Ha9 zenon_H13a zenon_H82 zenon_H5c zenon_Hf5.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.61 apply (zenon_L1355_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.61 apply (zenon_L2251_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.61 apply (zenon_L2252_); trivial.
% 22.56/22.61 apply (zenon_L1388_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2254_ *)
% 22.56/22.61 assert (zenon_L2255_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H201 zenon_H77 zenon_H48 zenon_H53 zenon_H190 zenon_H1a2 zenon_Ha9 zenon_H66 zenon_Hf3 zenon_H14c zenon_Ha0 zenon_Hb6.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.56/22.61 apply (zenon_L94_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.56/22.61 apply (zenon_L117_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.56/22.61 apply (zenon_L143_); trivial.
% 22.56/22.61 apply (zenon_L364_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2255_ *)
% 22.56/22.61 assert (zenon_L2256_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H1cf zenon_Hb6 zenon_Ha0 zenon_H14c zenon_Ha9 zenon_H1a2 zenon_H190 zenon_H77 zenon_H201 zenon_Hf3 zenon_H68 zenon_H1ef zenon_H65 zenon_H12e zenon_H48 zenon_H53 zenon_H1f1 zenon_Hc4 zenon_H1cb zenon_H18a zenon_H1bb zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.56/22.61 apply (zenon_L2255_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.56/22.61 apply (zenon_L62_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.56/22.61 apply (zenon_L533_); trivial.
% 22.56/22.61 apply (zenon_L849_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2256_ *)
% 22.56/22.61 assert (zenon_L2257_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H13a zenon_Hc4 zenon_H104 zenon_H1c7 zenon_H33 zenon_H121 zenon_Ha9 zenon_H6e zenon_H111 zenon_H110 zenon_H38 zenon_Ha0.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.61 apply (zenon_L819_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.61 apply (zenon_L110_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.61 apply (zenon_L75_); trivial.
% 22.56/22.61 apply (zenon_L156_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2257_ *)
% 22.56/22.61 assert (zenon_L2258_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e1)) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H117 zenon_H65 zenon_H1a3 zenon_H190 zenon_Hf3 zenon_H153 zenon_H1a2 zenon_Ha0 zenon_H38 zenon_H111 zenon_H6e zenon_Ha9 zenon_H121 zenon_H33 zenon_H1c7 zenon_H104 zenon_Hc4 zenon_H13a zenon_Hb6 zenon_H128.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.56/22.61 apply (zenon_L43_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.56/22.61 apply (zenon_L164_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.56/22.61 apply (zenon_L2257_); trivial.
% 22.56/22.61 apply (zenon_L182_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2258_ *)
% 22.56/22.61 assert (zenon_L2259_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e1)) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H117 zenon_Ha9 zenon_H65 zenon_Ha0 zenon_Hdd zenon_H105 zenon_Hb6 zenon_H128.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.56/22.61 apply (zenon_L43_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.56/22.61 apply (zenon_L152_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.56/22.61 apply (zenon_L400_); trivial.
% 22.56/22.61 apply (zenon_L182_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2259_ *)
% 22.56/22.61 assert (zenon_L2260_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H1cf zenon_Hb6 zenon_Ha0 zenon_H14c zenon_Hf3 zenon_Ha9 zenon_H1a2 zenon_Hf7 zenon_H186 zenon_H1ef zenon_H65 zenon_H1bb zenon_H18a zenon_H34 zenon_H106 zenon_H1cb zenon_Hc4.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.56/22.61 apply (zenon_L364_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.56/22.61 apply (zenon_L438_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.56/22.61 apply (zenon_L533_); trivial.
% 22.56/22.61 apply (zenon_L847_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2260_ *)
% 22.56/22.61 assert (zenon_L2261_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e1)) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H117 zenon_H109 zenon_H9d zenon_Hdd zenon_H14c zenon_Ha0 zenon_Hb6 zenon_H128.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.56/22.61 apply (zenon_L73_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.56/22.61 apply (zenon_L152_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.56/22.61 apply (zenon_L278_); trivial.
% 22.56/22.61 apply (zenon_L182_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2261_ *)
% 22.56/22.61 assert (zenon_L2262_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H13f zenon_H65 zenon_H77 zenon_Hf0 zenon_H3f zenon_H48 zenon_H117 zenon_H109 zenon_H9d zenon_Hdd zenon_H14c zenon_Ha0 zenon_Hb6.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.56/22.61 apply (zenon_L30_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.56/22.61 apply (zenon_L118_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.56/22.61 apply (zenon_L255_); trivial.
% 22.56/22.61 apply (zenon_L2261_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2262_ *)
% 22.56/22.61 assert (zenon_L2263_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H13f zenon_H65 zenon_H77 zenon_H48 zenon_H4d zenon_H131 zenon_H117 zenon_H109 zenon_H9d zenon_Hdd zenon_H14c zenon_Ha0 zenon_Hb6.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.56/22.61 apply (zenon_L30_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.56/22.61 apply (zenon_L111_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.56/22.61 apply (zenon_L128_); trivial.
% 22.56/22.61 apply (zenon_L2261_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2263_ *)
% 22.56/22.61 assert (zenon_L2264_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (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 (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((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 (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_Heb zenon_Hc2 zenon_H24 zenon_H139 zenon_H1d8 zenon_H4e zenon_H104 zenon_H1c7 zenon_H111 zenon_H68 zenon_H34 zenon_H1c3 zenon_H1a2 zenon_H25b zenon_Hf5 zenon_H26a zenon_H129 zenon_H20f zenon_H1b4 zenon_H1cf zenon_H18a zenon_H1bb zenon_H1ef zenon_H186 zenon_H33 zenon_H1b7 zenon_H190 zenon_H5d zenon_H1cb zenon_H18d zenon_H6f zenon_H201 zenon_H23c zenon_H13a zenon_H121 zenon_H38 zenon_H183 zenon_Ha9 zenon_H2c zenon_H15d zenon_H192 zenon_H7d zenon_H1cd zenon_H24e zenon_H162 zenon_Hcb zenon_H131 zenon_He4 zenon_H6e zenon_Hb6 zenon_Ha0 zenon_H9d zenon_H109 zenon_H117 zenon_Hf0 zenon_Hdd zenon_H13f zenon_H65 zenon_H77 zenon_H1f1 zenon_H48 zenon_H14c zenon_H195.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.61 apply (zenon_L1750_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.61 apply (zenon_L2262_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.61 apply (zenon_L2263_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.56/22.61 apply (zenon_L214_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.56/22.61 apply (zenon_L2262_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.56/22.61 apply (zenon_L111_); trivial.
% 22.56/22.61 apply (zenon_L1268_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2264_ *)
% 22.56/22.61 assert (zenon_L2265_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H13b zenon_H34 zenon_H179 zenon_He3 zenon_Hb6 zenon_Ha0 zenon_H14c zenon_H66 zenon_Ha9 zenon_H1a2 zenon_H48 zenon_H77 zenon_H201 zenon_Hf5 zenon_H38.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.56/22.61 apply (zenon_L297_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.56/22.61 exact (zenon_He3 zenon_He7).
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.56/22.61 apply (zenon_L365_); trivial.
% 22.56/22.61 apply (zenon_L663_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2265_ *)
% 22.56/22.61 assert (zenon_L2266_ : ((op (e0) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((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 (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H47 zenon_H7d zenon_Heb zenon_Hc2 zenon_H24 zenon_H139 zenon_H1d8 zenon_H4e zenon_H104 zenon_H1c7 zenon_H111 zenon_H1c3 zenon_H25b zenon_H26a zenon_H129 zenon_H20f zenon_H1b4 zenon_H1cf zenon_H18a zenon_H1bb zenon_H1ef zenon_H186 zenon_H33 zenon_H1b7 zenon_H190 zenon_H5d zenon_H1cb zenon_H18d zenon_H6f zenon_H23c zenon_H13a zenon_H121 zenon_H183 zenon_H2c zenon_H15d zenon_H192 zenon_H1cd zenon_H24e zenon_H162 zenon_Hcb zenon_H131 zenon_He4 zenon_H9d zenon_H109 zenon_H117 zenon_Hf0 zenon_H13f zenon_H65 zenon_H1f1 zenon_H195 zenon_H36 zenon_H1fb zenon_He2 zenon_Hf5 zenon_H201 zenon_H77 zenon_H48 zenon_H1a2 zenon_Ha9 zenon_H14c zenon_Ha0 zenon_Hb6 zenon_He3 zenon_H179 zenon_H34 zenon_H13b zenon_H38 zenon_H68.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.61 apply (zenon_L251_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.61 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.56/22.61 apply (zenon_L317_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.56/22.61 exact (zenon_He3 zenon_He7).
% 22.56/22.61 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.56/22.61 apply (zenon_L2264_); trivial.
% 22.56/22.61 apply (zenon_L802_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.61 apply (zenon_L2265_); trivial.
% 22.56/22.61 apply (zenon_L165_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2266_ *)
% 22.56/22.61 assert (zenon_L2267_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (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 (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (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 (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e0)) = (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)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H13b zenon_H179 zenon_He3 zenon_He2 zenon_H1fb zenon_H36 zenon_Hf0 zenon_H131 zenon_Hcb zenon_H162 zenon_H24e zenon_H1cd zenon_H192 zenon_H15d zenon_H24 zenon_Hc2 zenon_Heb zenon_H7d zenon_H173 zenon_H12e zenon_H156 zenon_Hfa zenon_H234 zenon_Hb2 zenon_H34 zenon_H1cb zenon_H5d zenon_H18d zenon_H104 zenon_H111 zenon_H183 zenon_H129 zenon_H1b4 zenon_H1bb zenon_H18a zenon_H1ef zenon_H14c zenon_H6f zenon_H109 zenon_H117 zenon_H1b7 zenon_H1f1 zenon_H13f zenon_H201 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H1c3 zenon_H26a zenon_H190 zenon_H186 zenon_H1a2 zenon_H195 zenon_H20f zenon_Hf5 zenon_H25b zenon_H1d8 zenon_H82 zenon_H68 zenon_H77 zenon_H121 zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_H33 zenon_H13a zenon_H1c7 zenon_H1a3 zenon_Hc4 zenon_H65 zenon_H2c zenon_H139 zenon_H38 zenon_H48.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.61 apply (zenon_L251_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.61 apply (zenon_L253_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.61 apply (zenon_L110_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.61 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.56/22.61 apply (zenon_L253_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.56/22.61 apply (zenon_L116_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.56/22.61 exact (zenon_He3 zenon_He7).
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.56/22.61 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.56/22.61 apply (zenon_L147_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.56/22.61 exact (zenon_He3 zenon_He7).
% 22.56/22.61 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.56/22.61 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.61 apply (zenon_L46_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.61 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.56/22.61 apply (zenon_L30_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.56/22.61 apply (zenon_L2256_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.56/22.61 apply (zenon_L255_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.56/22.61 apply (zenon_L2258_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.56/22.61 apply (zenon_L486_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.56/22.61 apply (zenon_L2259_); trivial.
% 22.56/22.61 apply (zenon_L1437_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.56/22.61 apply (zenon_L226_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.56/22.61 apply (zenon_L62_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.56/22.61 apply (zenon_L30_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.56/22.61 apply (zenon_L118_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.56/22.61 apply (zenon_L255_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.56/22.61 apply (zenon_L95_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.56/22.61 apply (zenon_L117_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.56/22.61 apply (zenon_L2259_); trivial.
% 22.56/22.61 apply (zenon_L2260_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.61 apply (zenon_L117_); trivial.
% 22.56/22.61 apply (zenon_L1269_); trivial.
% 22.56/22.61 apply (zenon_L802_); trivial.
% 22.56/22.61 apply (zenon_L663_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.56/22.61 apply (zenon_L43_); trivial.
% 22.56/22.61 apply (zenon_L2266_); trivial.
% 22.56/22.61 apply (zenon_L156_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.61 apply (zenon_L2265_); trivial.
% 22.56/22.61 apply (zenon_L165_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.61 apply (zenon_L1302_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.61 apply (zenon_L1410_); trivial.
% 22.56/22.61 apply (zenon_L246_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2267_ *)
% 22.56/22.61 assert (zenon_L2268_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> (~((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 (e3) (e3)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e2) (e0)) = (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)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H15d zenon_H13b zenon_H179 zenon_He3 zenon_Hf5 zenon_H18a zenon_Ha0 zenon_Ha9 zenon_Hb6 zenon_H190 zenon_H1c3 zenon_H1cf zenon_He4 zenon_H23c zenon_H4e zenon_H201 zenon_H13f zenon_H1f1 zenon_H117 zenon_H109 zenon_H6f zenon_H14c zenon_H13a zenon_H186 zenon_H1ef zenon_H1d8 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1a2 zenon_H104 zenon_H33 zenon_H121 zenon_H18d zenon_H5d zenon_H1cb zenon_H82 zenon_H68 zenon_H77 zenon_H183 zenon_H192 zenon_Hc4 zenon_H24e zenon_H34 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H162 zenon_H1bb zenon_H181 zenon_H65 zenon_H2c zenon_H139 zenon_H38 zenon_H48.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.61 apply (zenon_L251_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.61 apply (zenon_L1701_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.61 apply (zenon_L2265_); trivial.
% 22.56/22.61 apply (zenon_L165_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.61 apply (zenon_L1779_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.61 apply (zenon_L1748_); trivial.
% 22.56/22.61 apply (zenon_L246_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2268_ *)
% 22.56/22.61 assert (zenon_L2269_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (((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))))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_Hc2 zenon_H139 zenon_H179 zenon_He3 zenon_H201 zenon_Ha9 zenon_Ha0 zenon_Hb6 zenon_H1a2 zenon_H14c zenon_H48 zenon_Hf5 zenon_H38 zenon_H13b zenon_H68 zenon_H34 zenon_H192 zenon_H1bb zenon_H181 zenon_H7d zenon_H1b7 zenon_H1cd zenon_H1c7 zenon_H24e zenon_H162 zenon_H183 zenon_H77 zenon_H82 zenon_H4e zenon_H104 zenon_H1c3 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1d8 zenon_H121 zenon_H23c zenon_H6f zenon_H18d zenon_H1cb zenon_H5d zenon_H117 zenon_H190 zenon_H13f zenon_H109 zenon_H1f1 zenon_He4 zenon_H33 zenon_H186 zenon_H1ef zenon_H18a zenon_H1cf zenon_H2c zenon_H65 zenon_H13a zenon_H15d.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.56/22.61 apply (zenon_L2268_); trivial.
% 22.56/22.61 apply (zenon_L2268_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2269_ *)
% 22.56/22.61 assert (zenon_L2270_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H201 zenon_Hfe zenon_H48 zenon_Hc2 zenon_Hbc zenon_H104 zenon_H120 zenon_H162 zenon_H231 zenon_Hcb zenon_H1cf zenon_Hb6 zenon_Ha0 zenon_H14c zenon_Hf3 zenon_Ha9 zenon_H1a2 zenon_Hf7 zenon_H186 zenon_H1ef zenon_H65 zenon_H1bb zenon_H18a zenon_H34 zenon_H1cb zenon_Hc4.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.56/22.61 apply (zenon_L95_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.56/22.61 apply (zenon_L117_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.56/22.61 apply (zenon_L1321_); trivial.
% 22.56/22.61 apply (zenon_L2260_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2270_ *)
% 22.56/22.61 assert (zenon_L2271_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_Hfa zenon_H77 zenon_H3c zenon_H6e zenon_H173 zenon_H68 zenon_H201 zenon_Hfe zenon_H48 zenon_Hc2 zenon_Hbc zenon_H104 zenon_H120 zenon_H162 zenon_H231 zenon_Hcb zenon_H1cf zenon_Hb6 zenon_Ha0 zenon_H14c zenon_Hf3 zenon_Ha9 zenon_H1a2 zenon_H186 zenon_H1ef zenon_H65 zenon_H1bb zenon_H18a zenon_H34 zenon_H1cb zenon_Hc4.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.56/22.61 apply (zenon_L24_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.56/22.61 apply (zenon_L226_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.56/22.61 apply (zenon_L62_); trivial.
% 22.56/22.61 apply (zenon_L2270_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2271_ *)
% 22.56/22.61 assert (zenon_L2272_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H201 zenon_H77 zenon_H48 zenon_H1a3 zenon_H162 zenon_H120 zenon_H104 zenon_Hbc zenon_H231 zenon_H1cf zenon_Hb6 zenon_Ha0 zenon_H14c zenon_Hf3 zenon_Ha9 zenon_H1a2 zenon_Hf7 zenon_H186 zenon_H1ef zenon_H65 zenon_H1bb zenon_H18a zenon_H34 zenon_H1cb zenon_Hc4.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.56/22.61 apply (zenon_L1322_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.56/22.61 apply (zenon_L117_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.56/22.61 apply (zenon_L476_); trivial.
% 22.56/22.61 apply (zenon_L2260_); trivial.
% 22.56/22.61 (* end of lemma zenon_L2272_ *)
% 22.56/22.61 assert (zenon_L2273_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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 (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((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 (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.56/22.61 do 0 intro. intros zenon_H15d zenon_H13b zenon_H179 zenon_He3 zenon_He2 zenon_H234 zenon_Hf0 zenon_Heb zenon_H7d zenon_H5d zenon_H18d zenon_H25b zenon_Hf5 zenon_H20f zenon_H195 zenon_H190 zenon_H26a zenon_H1c3 zenon_He4 zenon_H23c zenon_H4e zenon_H201 zenon_H13f zenon_H1f1 zenon_H117 zenon_H109 zenon_H6f zenon_H33 zenon_H18a zenon_H121 zenon_H231 zenon_Hbc zenon_H104 zenon_H1b4 zenon_H129 zenon_H1b7 zenon_H183 zenon_Hcb zenon_Hc2 zenon_H1d8 zenon_H34 zenon_H77 zenon_H65 zenon_H139 zenon_H2c zenon_Hc4 zenon_H1cb zenon_H120 zenon_H162 zenon_H1bb zenon_H1ef zenon_H186 zenon_H1cf zenon_H1a2 zenon_Hb6 zenon_Ha9 zenon_H14c zenon_Ha0 zenon_H1a3 zenon_H173 zenon_Hfa zenon_H68 zenon_H13a zenon_H82 zenon_H38 zenon_H48.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.61 apply (zenon_L251_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.61 apply (zenon_L253_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.61 apply (zenon_L110_); trivial.
% 22.56/22.61 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.56/22.62 apply (zenon_L297_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.56/22.62 exact (zenon_He3 zenon_He7).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.56/22.62 apply (zenon_L147_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.56/22.62 exact (zenon_He3 zenon_He7).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.62 apply (zenon_L2271_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.56/22.62 apply (zenon_L30_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.56/22.62 apply (zenon_L118_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.56/22.62 apply (zenon_L255_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.56/22.62 apply (zenon_L1786_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.56/22.62 apply (zenon_L117_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.56/22.62 apply (zenon_L2259_); trivial.
% 22.56/22.62 apply (zenon_L1437_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.56/22.62 apply (zenon_L226_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.56/22.62 apply (zenon_L62_); trivial.
% 22.56/22.62 apply (zenon_L2272_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.62 apply (zenon_L117_); trivial.
% 22.56/22.62 apply (zenon_L1269_); trivial.
% 22.56/22.62 apply (zenon_L802_); trivial.
% 22.56/22.62 apply (zenon_L663_); trivial.
% 22.56/22.62 apply (zenon_L156_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.62 apply (zenon_L2265_); trivial.
% 22.56/22.62 apply (zenon_L165_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.62 apply (zenon_L1326_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.62 apply (zenon_L1786_); trivial.
% 22.56/22.62 apply (zenon_L246_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2273_ *)
% 22.56/22.62 assert (zenon_L2274_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H1a2 zenon_H77 zenon_H65 zenon_H1ef zenon_Ha9 zenon_H31 zenon_H68 zenon_H1cf zenon_H14c zenon_Ha0 zenon_Hb6 zenon_H106.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.56/22.62 apply (zenon_L68_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.56/22.62 apply (zenon_L1849_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.56/22.62 apply (zenon_L278_); trivial.
% 22.56/22.62 apply (zenon_L363_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2274_ *)
% 22.56/22.62 assert (zenon_L2275_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H1a8 zenon_H3d zenon_H156 zenon_H55 zenon_H201 zenon_H9f zenon_Hf6 zenon_H34 zenon_H48 zenon_H12e zenon_H72 zenon_H1a2 zenon_H77 zenon_H65 zenon_H1ef zenon_Ha9 zenon_H31 zenon_H68 zenon_H1cf zenon_H14c zenon_Ha0 zenon_Hb6.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.56/22.62 apply (zenon_L214_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.56/22.62 apply (zenon_L100_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.56/22.62 apply (zenon_L34_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.56/22.62 apply (zenon_L239_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.56/22.62 apply (zenon_L59_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.56/22.62 apply (zenon_L1848_); trivial.
% 22.56/22.62 apply (zenon_L2274_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2275_ *)
% 22.56/22.62 assert (zenon_L2276_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (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) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e1)) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H204 zenon_H3a zenon_Hfa zenon_Hf5 zenon_H163 zenon_H1b4 zenon_H183 zenon_H23d zenon_H23b zenon_H139 zenon_H68 zenon_Hb6 zenon_Ha9 zenon_Ha0 zenon_H13a zenon_H77 zenon_H65 zenon_H2c zenon_H1f zenon_H48 zenon_H3d zenon_H236 zenon_H1fe zenon_H240 zenon_H24 zenon_H15d zenon_H1a8 zenon_H1a2 zenon_H12e zenon_H14c zenon_H1ef zenon_H1cf zenon_H201 zenon_H55 zenon_H156 zenon_H192 zenon_H3c.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.56/22.62 apply (zenon_L491_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.62 exact (zenon_H1f zenon_H1e).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.62 exact (zenon_H205 zenon_H2a).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.62 exact (zenon_H1f zenon_H1e).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.62 apply (zenon_L25_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.62 apply (zenon_L27_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.62 exact (zenon_H6c zenon_H67).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.62 apply (zenon_L214_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.62 apply (zenon_L1868_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.56/22.62 apply (zenon_L1868_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.56/22.62 apply (zenon_L2275_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.56/22.62 apply (zenon_L533_); trivial.
% 22.56/22.62 apply (zenon_L1846_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.62 apply (zenon_L55_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.62 apply (zenon_L68_); trivial.
% 22.56/22.62 apply (zenon_L1853_); trivial.
% 22.56/22.62 exact (zenon_H238 zenon_H38).
% 22.56/22.62 apply (zenon_L1858_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.56/22.62 apply (zenon_L491_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.62 exact (zenon_H1f zenon_H1e).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.62 apply (zenon_L318_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.62 exact (zenon_H1f zenon_H1e).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.62 apply (zenon_L25_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.62 apply (zenon_L405_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.62 exact (zenon_H6c zenon_H67).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.62 apply (zenon_L214_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.62 apply (zenon_L264_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.56/22.62 apply (zenon_L24_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.56/22.62 apply (zenon_L1864_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.56/22.62 apply (zenon_L68_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.56/22.62 apply (zenon_L436_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.56/22.62 apply (zenon_L278_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.56/22.62 apply (zenon_L456_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.56/22.62 apply (zenon_L348_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.56/22.62 apply (zenon_L363_); trivial.
% 22.56/22.62 apply (zenon_L1859_); trivial.
% 22.56/22.62 apply (zenon_L63_); trivial.
% 22.56/22.62 exact (zenon_H238 zenon_H38).
% 22.56/22.62 apply (zenon_L1861_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2276_ *)
% 22.56/22.62 assert (zenon_L2277_ : ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H8f zenon_H14c zenon_H65.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.56/22.62 exact (zenon_H7b zenon_H65).
% 22.56/22.62 exact (zenon_H13d zenon_H14c).
% 22.56/22.62 (* end of lemma zenon_L2277_ *)
% 22.56/22.62 assert (zenon_L2278_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H5a zenon_H14c zenon_H65.
% 22.56/22.62 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 22.56/22.62 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 22.56/22.62 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.56/22.62 apply (zenon_L2277_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2278_ *)
% 22.56/22.62 assert (zenon_L2279_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H13f zenon_H65 zenon_H77 zenon_Hf0 zenon_H3f zenon_H48 zenon_H117 zenon_H109 zenon_H9d zenon_Hdb zenon_H6f zenon_H14c zenon_Ha0 zenon_Hb6.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.56/22.62 apply (zenon_L30_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.56/22.62 apply (zenon_L118_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.56/22.62 apply (zenon_L255_); trivial.
% 22.56/22.62 apply (zenon_L1291_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2279_ *)
% 22.56/22.62 assert (zenon_L2280_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (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) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.56/22.62 do 0 intro. intros zenon_Hfa zenon_H25 zenon_Hb6 zenon_Ha0 zenon_H14c zenon_Ha9 zenon_H1a2 zenon_H48 zenon_H186 zenon_H139 zenon_H2c zenon_H65 zenon_H9d zenon_H33 zenon_H13a zenon_H38 zenon_H68 zenon_H201 zenon_H73 zenon_H66 zenon_H5c zenon_H77.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.56/22.62 apply (zenon_L171_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.56/22.62 apply (zenon_L1880_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.56/22.62 apply (zenon_L138_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.56/22.62 apply (zenon_L255_); trivial.
% 22.56/22.62 apply (zenon_L687_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.56/22.62 apply (zenon_L22_); trivial.
% 22.56/22.62 apply (zenon_L206_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2280_ *)
% 22.56/22.62 assert (zenon_L2281_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((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)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (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) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 22.56/22.62 do 0 intro. intros zenon_Heb zenon_H18d zenon_H5d zenon_H1b7 zenon_H1f1 zenon_H4e zenon_H190 zenon_H1cb zenon_H23c zenon_He4 zenon_H6f zenon_Hdb zenon_H109 zenon_H117 zenon_Hf0 zenon_H13f zenon_Hbc zenon_Hfa zenon_H25 zenon_Hb6 zenon_Ha0 zenon_H14c zenon_Ha9 zenon_H1a2 zenon_H48 zenon_H186 zenon_H139 zenon_H2c zenon_H65 zenon_H9d zenon_H33 zenon_H13a zenon_H38 zenon_H68 zenon_H201 zenon_H73 zenon_H66 zenon_H77.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.62 apply (zenon_L1293_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.62 apply (zenon_L2279_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.62 apply (zenon_L279_); trivial.
% 22.56/22.62 apply (zenon_L2280_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2281_ *)
% 22.56/22.62 assert (zenon_L2282_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> False).
% 22.56/22.62 do 0 intro. intros zenon_He4 zenon_H68 zenon_H13a zenon_Ha4 zenon_H6c zenon_H139 zenon_H23c zenon_H1cb zenon_H190 zenon_H4e zenon_H66 zenon_H201 zenon_H13f zenon_H77 zenon_H1f1 zenon_H1b7 zenon_H3c zenon_H5d zenon_H38 zenon_H48 zenon_H18d zenon_H65 zenon_Ha9 zenon_H117 zenon_H109 zenon_H9d zenon_Hdb zenon_H6f zenon_H14c zenon_Ha0 zenon_Hb6.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.56/22.62 apply (zenon_L1857_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.56/22.62 apply (zenon_L492_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.56/22.62 apply (zenon_L1289_); trivial.
% 22.56/22.62 apply (zenon_L1292_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2282_ *)
% 22.56/22.62 assert (zenon_L2283_ : (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (((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)) = (e3)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H77 zenon_H73 zenon_H201 zenon_H68 zenon_H13a zenon_H33 zenon_H9d zenon_H65 zenon_H2c zenon_H139 zenon_H186 zenon_H48 zenon_H1a2 zenon_H14c zenon_Hb6 zenon_H25 zenon_Hfa zenon_Hbc zenon_H13f zenon_Hf0 zenon_H117 zenon_H109 zenon_H6f zenon_He4 zenon_Ha4 zenon_H6c zenon_H23c zenon_H1cb zenon_H190 zenon_H4e zenon_H1f1 zenon_H1b7 zenon_H5d zenon_H18d zenon_Heb zenon_Ha9 zenon_H66 zenon_H38 zenon_Ha0.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.62 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.62 apply (zenon_L2282_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.62 apply (zenon_L2279_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.62 apply (zenon_L279_); trivial.
% 22.56/22.62 apply (zenon_L2280_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.62 apply (zenon_L193_); trivial.
% 22.56/22.62 apply (zenon_L156_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2283_ *)
% 22.56/22.62 assert (zenon_L2284_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e3)) = (e1)) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H183 zenon_H68 zenon_H34 zenon_Hac zenon_Ha9 zenon_H106 zenon_H77 zenon_H23d zenon_H1f zenon_H4c zenon_H6c zenon_H155.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.56/22.62 apply (zenon_L291_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.56/22.62 apply (zenon_L371_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.56/22.62 apply (zenon_L367_); trivial.
% 22.56/22.62 apply (zenon_L517_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2284_ *)
% 22.56/22.62 assert (zenon_L2285_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H201 zenon_H66 zenon_H48 zenon_H4e zenon_H82 zenon_H190 zenon_H117 zenon_H65 zenon_H53 zenon_H14c zenon_Ha0 zenon_H121 zenon_H33 zenon_H9f zenon_H155 zenon_H6c zenon_H4c zenon_H1f zenon_H23d zenon_H77 zenon_Ha9 zenon_H34 zenon_H68 zenon_H183 zenon_Hb6 zenon_H129.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.56/22.62 apply (zenon_L94_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.56/22.62 apply (zenon_L2021_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.56/22.62 apply (zenon_L143_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.56/22.62 apply (zenon_L43_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.56/22.62 apply (zenon_L113_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.56/22.62 apply (zenon_L278_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 22.56/22.62 apply (zenon_L245_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 22.56/22.62 apply (zenon_L2284_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 22.56/22.62 apply (zenon_L363_); trivial.
% 22.56/22.62 apply (zenon_L189_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2285_ *)
% 22.56/22.62 assert (zenon_L2286_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H15d zenon_H13a zenon_H177 zenon_H77 zenon_H34 zenon_H68 zenon_H183 zenon_H201 zenon_H48 zenon_H4e zenon_H82 zenon_H190 zenon_H117 zenon_H65 zenon_H14c zenon_H121 zenon_H33 zenon_H6c zenon_H4c zenon_H1f zenon_H23d zenon_H129 zenon_H23c zenon_H3c zenon_He4 zenon_Ha0 zenon_H2a zenon_Ha9 zenon_H66 zenon_Hb6.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.62 exact (zenon_H4c zenon_H47).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.62 apply (zenon_L65_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.62 apply (zenon_L94_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.56/22.62 apply (zenon_L65_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.56/22.62 apply (zenon_L492_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.56/22.62 apply (zenon_L2285_); trivial.
% 22.56/22.62 apply (zenon_L496_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.62 apply (zenon_L53_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.62 apply (zenon_L193_); trivial.
% 22.56/22.62 apply (zenon_L115_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2286_ *)
% 22.56/22.62 assert (zenon_L2287_ : (~((e1) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.56/22.62 do 0 intro. intros zenon_Hb6 zenon_H66 zenon_Ha9 zenon_H2a zenon_Ha0 zenon_He4 zenon_H23c zenon_H129 zenon_H23d zenon_H1f zenon_H4c zenon_H6c zenon_H33 zenon_H121 zenon_H14c zenon_H117 zenon_H190 zenon_H82 zenon_H4e zenon_H201 zenon_H183 zenon_H68 zenon_H177 zenon_H13a zenon_H15d zenon_H65 zenon_H77 zenon_H34 zenon_H48.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.62 exact (zenon_H4c zenon_H47).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.62 apply (zenon_L2286_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.62 apply (zenon_L30_); trivial.
% 22.56/22.62 apply (zenon_L456_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2287_ *)
% 22.56/22.62 assert (zenon_L2288_ : (((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)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H1a2 zenon_Ha0 zenon_H31 zenon_Ha9 zenon_H72 zenon_Hb6 zenon_H105 zenon_H9b zenon_Hbc.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.56/22.62 apply (zenon_L68_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.56/22.62 apply (zenon_L436_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.56/22.62 apply (zenon_L400_); trivial.
% 22.56/22.62 apply (zenon_L791_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2288_ *)
% 22.56/22.62 assert (zenon_L2289_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H201 zenon_H48 zenon_Hbc zenon_H9b zenon_H72 zenon_H1a2 zenon_H77 zenon_H65 zenon_H1ef zenon_Ha9 zenon_H31 zenon_H68 zenon_H1cf zenon_H14c zenon_Ha0 zenon_Hb6.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.56/22.62 apply (zenon_L239_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.56/22.62 apply (zenon_L59_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.56/22.62 apply (zenon_L2288_); trivial.
% 22.56/22.62 apply (zenon_L2274_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2289_ *)
% 22.56/22.62 assert (zenon_L2290_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H1c3 zenon_H9e zenon_Ha9 zenon_H77 zenon_H5c zenon_H94 zenon_H65 zenon_H68 zenon_H167.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 22.56/22.62 apply (zenon_L92_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 22.56/22.62 apply (zenon_L206_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 22.56/22.62 apply (zenon_L38_); trivial.
% 22.56/22.62 apply (zenon_L295_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2290_ *)
% 22.56/22.62 assert (zenon_L2291_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H13a zenon_H47 zenon_H73 zenon_H163 zenon_H4e zenon_H25 zenon_H1ec zenon_H131 zenon_H158 zenon_H156 zenon_H159 zenon_H1cf zenon_Heb zenon_H20f zenon_H13c zenon_H48 zenon_H5d zenon_Hb6 zenon_H18d zenon_Ha0 zenon_Hf5 zenon_H173 zenon_H2a zenon_H13b zenon_H40 zenon_H1d4 zenon_H1c3 zenon_Ha9 zenon_H77 zenon_H94 zenon_H65 zenon_H68 zenon_H167.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.62 apply (zenon_L253_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.62 apply (zenon_L53_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.62 apply (zenon_L276_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.62 apply (zenon_L1833_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.62 exact (zenon_H40 zenon_H3f).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.62 exact (zenon_H1d4 zenon_H4d).
% 22.56/22.62 apply (zenon_L2290_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2291_ *)
% 22.56/22.62 assert (zenon_L2292_ : (((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)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H13a zenon_H33 zenon_H9d zenon_Ha0 zenon_H73 zenon_H163 zenon_H1d4 zenon_H4e zenon_H25 zenon_H1ec zenon_H131 zenon_H158 zenon_H2a zenon_H173 zenon_H40 zenon_H156 zenon_H159 zenon_H1cf zenon_Ha9 zenon_Hf6.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.62 apply (zenon_L245_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.62 apply (zenon_L53_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.62 apply (zenon_L276_); trivial.
% 22.56/22.62 apply (zenon_L92_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2292_ *)
% 22.56/22.62 assert (zenon_L2293_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> (((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)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H139 zenon_H47 zenon_H68 zenon_H153 zenon_H77 zenon_H13a zenon_H33 zenon_H9d zenon_Ha0 zenon_H73 zenon_H163 zenon_H1d4 zenon_H4e zenon_H25 zenon_H1ec zenon_H131 zenon_H158 zenon_H2a zenon_H173 zenon_H40 zenon_H156 zenon_H159 zenon_H1cf zenon_Ha9.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.62 apply (zenon_L251_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.62 apply (zenon_L147_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.62 apply (zenon_L94_); trivial.
% 22.56/22.62 apply (zenon_L2292_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2293_ *)
% 22.56/22.62 assert (zenon_L2294_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e0))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H141 zenon_H48 zenon_H54 zenon_Ha0 zenon_H10d zenon_H13d zenon_H167 zenon_H129.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.56/22.62 apply (zenon_L217_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.56/22.62 apply (zenon_L152_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.56/22.62 exact (zenon_H13d zenon_H14c).
% 22.56/22.62 apply (zenon_L298_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2294_ *)
% 22.56/22.62 assert (zenon_L2295_ : (((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)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H13a zenon_H33 zenon_H9d zenon_Ha0 zenon_H73 zenon_H163 zenon_H1d4 zenon_H4e zenon_H25 zenon_H1ec zenon_H131 zenon_H158 zenon_H2a zenon_H173 zenon_H40 zenon_H156 zenon_H159 zenon_Ha9 zenon_H1cf zenon_Hb6 zenon_H155.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.62 apply (zenon_L245_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.62 apply (zenon_L53_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.62 apply (zenon_L276_); trivial.
% 22.56/22.62 apply (zenon_L115_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2295_ *)
% 22.56/22.62 assert (zenon_L2296_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H169 zenon_Hfa zenon_He3 zenon_Heb zenon_H40 zenon_H25 zenon_H48 zenon_H15d zenon_H28 zenon_H1c6 zenon_H7d zenon_H13d zenon_H129 zenon_H141 zenon_H82 zenon_H77 zenon_H68 zenon_H2a zenon_H125 zenon_H9d zenon_Hb6 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H94 zenon_H13c zenon_Hf5 zenon_H5d zenon_H1c3 zenon_H167 zenon_H18d zenon_H20f zenon_H13b zenon_H13a zenon_H1d5 zenon_H33 zenon_H139 zenon_H15c.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.56/22.62 apply (zenon_L250_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.62 apply (zenon_L251_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.62 apply (zenon_L147_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.56/22.62 apply (zenon_L252_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.56/22.62 apply (zenon_L171_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.56/22.62 apply (zenon_L2291_); trivial.
% 22.56/22.62 apply (zenon_L91_); trivial.
% 22.56/22.62 apply (zenon_L2292_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.62 apply (zenon_L65_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.62 apply (zenon_L2293_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.62 apply (zenon_L26_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.56/22.62 apply (zenon_L53_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.56/22.62 exact (zenon_H159 zenon_H10c).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.56/22.62 apply (zenon_L2294_); trivial.
% 22.56/22.62 apply (zenon_L44_); trivial.
% 22.56/22.62 apply (zenon_L134_); trivial.
% 22.56/22.62 apply (zenon_L2295_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.62 apply (zenon_L25_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.62 exact (zenon_H40 zenon_H3f).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.56/22.62 apply (zenon_L171_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.56/22.62 exact (zenon_H1b3 zenon_Hef).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.56/22.62 apply (zenon_L59_); trivial.
% 22.56/22.62 apply (zenon_L940_); trivial.
% 22.56/22.62 exact (zenon_Hec zenon_H5c).
% 22.56/22.62 apply (zenon_L1113_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2296_ *)
% 22.56/22.62 assert (zenon_L2297_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H13a zenon_Hb6 zenon_H47 zenon_H1b7 zenon_H167 zenon_H55 zenon_H2d zenon_He3 zenon_He2 zenon_Ha0 zenon_H31 zenon_Ha9 zenon_Hf6.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.62 apply (zenon_L253_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.56/22.62 apply (zenon_L53_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.56/22.62 exact (zenon_He3 zenon_He7).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.56/22.62 apply (zenon_L702_); trivial.
% 22.56/22.62 apply (zenon_L556_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.62 apply (zenon_L68_); trivial.
% 22.56/22.62 apply (zenon_L92_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2297_ *)
% 22.56/22.62 assert (zenon_L2298_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H139 zenon_H77 zenon_H68 zenon_H13a zenon_Hb6 zenon_H47 zenon_H1b7 zenon_H167 zenon_H55 zenon_H2d zenon_He3 zenon_He2 zenon_Ha0 zenon_H31 zenon_Ha9.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.62 apply (zenon_L251_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.62 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.56/22.62 apply (zenon_L147_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.56/22.62 exact (zenon_He3 zenon_He7).
% 22.56/22.62 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.56/22.62 apply (zenon_L702_); trivial.
% 22.56/22.62 apply (zenon_L556_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.62 apply (zenon_L264_); trivial.
% 22.56/22.62 apply (zenon_L2297_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2298_ *)
% 22.56/22.62 assert (zenon_L2299_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H139 zenon_H77 zenon_H3d zenon_H68 zenon_H13a zenon_Hb6 zenon_H47 zenon_H1b7 zenon_H167 zenon_H55 zenon_H2d zenon_He3 zenon_He2 zenon_Ha0 zenon_H31 zenon_Ha9.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.62 apply (zenon_L251_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.62 apply (zenon_L214_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.62 apply (zenon_L264_); trivial.
% 22.56/22.62 apply (zenon_L2297_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2299_ *)
% 22.56/22.62 assert (zenon_L2300_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e3) (e3)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 22.56/22.62 do 0 intro. intros zenon_H82 zenon_He2 zenon_He3 zenon_H55 zenon_H1b7 zenon_H139 zenon_H7d zenon_H16a zenon_H68 zenon_Ha9 zenon_H8b zenon_H16b zenon_H167 zenon_H3d zenon_H1c6 zenon_H13c zenon_H1c3 zenon_H77 zenon_H5d zenon_H18d zenon_Hf5 zenon_H18a zenon_H1f zenon_H1fe zenon_Hf0 zenon_Hfa zenon_H31 zenon_Ha0 zenon_H33 zenon_H13a zenon_H48 zenon_H2d zenon_Hb6 zenon_H9d.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.62 apply (zenon_L2299_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.62 apply (zenon_L1812_); trivial.
% 22.56/22.62 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.62 apply (zenon_L217_); trivial.
% 22.56/22.62 apply (zenon_L134_); trivial.
% 22.56/22.62 (* end of lemma zenon_L2300_ *)
% 22.56/22.62 assert (zenon_L2301_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H139 zenon_H77 zenon_H155 zenon_H9d zenon_H33 zenon_H68 zenon_H13a zenon_Hb6 zenon_H47 zenon_H1b7 zenon_H167 zenon_H55 zenon_H2d zenon_He3 zenon_He2 zenon_Ha0 zenon_H31 zenon_Ha9.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.63 apply (zenon_L251_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.63 apply (zenon_L871_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.63 apply (zenon_L264_); trivial.
% 22.56/22.63 apply (zenon_L2297_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2301_ *)
% 22.56/22.63 assert (zenon_L2302_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (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 (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (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 (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H92 zenon_H1ba zenon_H89 zenon_H139 zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H13a zenon_H31 zenon_H68 zenon_He3 zenon_H55 zenon_H2d zenon_H1b7 zenon_H167 zenon_He2 zenon_H77 zenon_H82 zenon_H33 zenon_H9d zenon_Hfa zenon_H7d zenon_H1c6 zenon_H18d zenon_H1c3 zenon_H5d zenon_Hf5 zenon_H13c zenon_H1fe zenon_H18a zenon_H48 zenon_H1f zenon_Hf0 zenon_H8b zenon_H16a zenon_H266 zenon_H6f zenon_H1f1 zenon_He4 zenon_H15d zenon_H13e zenon_H190 zenon_H13d zenon_H125 zenon_H183 zenon_H163 zenon_H13f zenon_H26a zenon_H100 zenon_H129 zenon_H141 zenon_H23c zenon_H1ef zenon_H73 zenon_H236 zenon_H4e zenon_H13b zenon_H20f zenon_Heb zenon_H156 zenon_H158 zenon_H173 zenon_Hbc zenon_Hcc.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.63 apply (zenon_L2298_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.63 apply (zenon_L2300_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.63 apply (zenon_L239_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.63 apply (zenon_L2301_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.63 apply (zenon_L1835_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.63 apply (zenon_L217_); trivial.
% 22.56/22.63 apply (zenon_L134_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.63 apply (zenon_L2298_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.63 apply (zenon_L2299_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.63 apply (zenon_L1806_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.63 apply (zenon_L217_); trivial.
% 22.56/22.63 apply (zenon_L134_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.63 apply (zenon_L239_); trivial.
% 22.56/22.63 apply (zenon_L1807_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2302_ *)
% 22.56/22.63 assert (zenon_L2303_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (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 (e2) (e2)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H139 zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_H13a zenon_H31 zenon_H68 zenon_He3 zenon_H55 zenon_H2d zenon_H1b7 zenon_H167 zenon_He2 zenon_H77 zenon_H82 zenon_H33 zenon_H9d zenon_Hfa zenon_H7d zenon_H1c6 zenon_H18d zenon_H1c3 zenon_H5d zenon_Hf5 zenon_H13c zenon_H1fe zenon_H18a zenon_H48 zenon_H1f zenon_Hf0 zenon_H8b zenon_H16a zenon_He4 zenon_H183 zenon_H163 zenon_H13f zenon_H26a zenon_H1bf zenon_H1f1 zenon_H100 zenon_H92 zenon_H190 zenon_H13e zenon_H13d zenon_H129 zenon_H141 zenon_H89 zenon_H23c zenon_H15d.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.63 apply (zenon_L2298_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.63 apply (zenon_L2300_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.63 apply (zenon_L239_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.63 apply (zenon_L2301_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.63 apply (zenon_L1816_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.63 apply (zenon_L217_); trivial.
% 22.56/22.63 apply (zenon_L134_); trivial.
% 22.56/22.63 apply (zenon_L1389_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2303_ *)
% 22.56/22.63 assert (zenon_L2304_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H1fe zenon_H18a zenon_H9d zenon_H125 zenon_H236 zenon_H48 zenon_H1f zenon_Hb6 zenon_H13c zenon_Ha9 zenon_H73 zenon_H68 zenon_H167 zenon_H18d zenon_H77 zenon_H5d zenon_H1c3 zenon_Ha0 zenon_H13a zenon_H3a.
% 22.56/22.63 apply (zenon_L1826_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2304_ *)
% 22.56/22.63 assert (zenon_L2305_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H5a zenon_H141 zenon_H167 zenon_H129 zenon_H13d zenon_H48 zenon_H68 zenon_H77 zenon_H16a zenon_H13e zenon_H190.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.56/22.63 apply (zenon_L1814_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2305_ *)
% 22.56/22.63 assert (zenon_L2306_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e3)) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H61 zenon_H167 zenon_H9d.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.56/22.63 apply (zenon_L1818_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2306_ *)
% 22.56/22.63 assert (zenon_L2307_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H1c3 zenon_H38 zenon_H77 zenon_H5c zenon_H94 zenon_H65 zenon_H68 zenon_H167.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1c4 ].
% 22.56/22.63 apply (zenon_L165_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1c5 ].
% 22.56/22.63 apply (zenon_L206_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H93 | zenon_intro zenon_H17c ].
% 22.56/22.63 apply (zenon_L38_); trivial.
% 22.56/22.63 apply (zenon_L295_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2307_ *)
% 22.56/22.63 assert (zenon_L2308_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (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 (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H18d zenon_Hb6 zenon_H31 zenon_Ha0 zenon_H6e zenon_H9d zenon_H33 zenon_H13a zenon_H65 zenon_H94 zenon_H68 zenon_H77 zenon_H10c zenon_Ha9 zenon_H9e zenon_H1c3 zenon_H48 zenon_H167.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.56/22.63 apply (zenon_L871_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.56/22.63 apply (zenon_L2290_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.56/22.63 apply (zenon_L296_); trivial.
% 22.56/22.63 apply (zenon_L1803_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2308_ *)
% 22.56/22.63 assert (zenon_L2309_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_He2 zenon_H205 zenon_He3 zenon_H7d zenon_H9d zenon_Ha0 zenon_H18d zenon_Hb6 zenon_H31 zenon_H6e zenon_H33 zenon_H13a zenon_H65 zenon_H94 zenon_H68 zenon_H77 zenon_Ha9 zenon_H9e zenon_H1c3 zenon_H48 zenon_H1c6 zenon_H167 zenon_H1b7.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.56/22.63 exact (zenon_H205 zenon_H2a).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.56/22.63 exact (zenon_He3 zenon_He7).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.56/22.63 apply (zenon_L110_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.56/22.63 apply (zenon_L2308_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.56/22.63 apply (zenon_L152_); trivial.
% 22.56/22.63 apply (zenon_L44_); trivial.
% 22.56/22.63 apply (zenon_L556_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2309_ *)
% 22.56/22.63 assert (zenon_L2310_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H240 zenon_H139 zenon_He3 zenon_H1c6 zenon_H7d zenon_H13a zenon_Hb6 zenon_H9d zenon_H33 zenon_H1c3 zenon_H167 zenon_H68 zenon_H65 zenon_H94 zenon_H77 zenon_H48 zenon_H18d zenon_Ha9 zenon_H1b7 zenon_He2 zenon_H1f zenon_H205 zenon_Ha0 zenon_H9e zenon_H236.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.56/22.63 apply (zenon_L1873_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.63 exact (zenon_H1f zenon_H1e).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.63 exact (zenon_H205 zenon_H2a).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.63 exact (zenon_H6c zenon_H67).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.63 apply (zenon_L2309_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.63 apply (zenon_L264_); trivial.
% 22.56/22.63 apply (zenon_L92_); trivial.
% 22.56/22.63 apply (zenon_L156_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2310_ *)
% 22.56/22.63 assert (zenon_L2311_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e1)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H26a zenon_H236 zenon_H205 zenon_H1f zenon_He2 zenon_H1b7 zenon_H18d zenon_H48 zenon_H94 zenon_H65 zenon_H33 zenon_H9d zenon_H13a zenon_H7d zenon_H1c6 zenon_He3 zenon_H139 zenon_H240 zenon_H68 zenon_H77 zenon_Ha9 zenon_H38 zenon_H1c3 zenon_H128 zenon_Hb6 zenon_Ha0 zenon_H167.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H9e | zenon_intro zenon_H26b ].
% 22.56/22.63 apply (zenon_L2310_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H26c ].
% 22.56/22.63 apply (zenon_L1822_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc3 ].
% 22.56/22.63 apply (zenon_L182_); trivial.
% 22.56/22.63 apply (zenon_L505_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2311_ *)
% 22.56/22.63 assert (zenon_L2312_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H204 zenon_H23b zenon_H1d5 zenon_H23d zenon_H15d zenon_H1f zenon_H68 zenon_H66 zenon_H240 zenon_H139 zenon_He3 zenon_H1c6 zenon_H7d zenon_H13a zenon_Hb6 zenon_H9d zenon_H33 zenon_H18d zenon_Ha9 zenon_H1b7 zenon_He2 zenon_Ha0 zenon_H236 zenon_H26a zenon_H77 zenon_H94 zenon_H65 zenon_H167 zenon_H1c3 zenon_H48.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.63 exact (zenon_H1f zenon_H1e).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.63 exact (zenon_H205 zenon_H2a).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.63 apply (zenon_L264_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.56/22.63 apply (zenon_L246_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.56/22.63 apply (zenon_L2307_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.56/22.63 apply (zenon_L2311_); trivial.
% 22.56/22.63 apply (zenon_L1803_); trivial.
% 22.56/22.63 apply (zenon_L1886_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2312_ *)
% 22.56/22.63 assert (zenon_L2313_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H87 zenon_H13b zenon_H167 zenon_H20f zenon_H68 zenon_He3 zenon_H48 zenon_H77 zenon_Heb zenon_H156 zenon_H158.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.56/22.63 apply (zenon_L1829_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2313_ *)
% 22.56/22.63 assert (zenon_L2314_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H27e zenon_H129 zenon_H167 zenon_H53 zenon_H189 zenon_H94 zenon_H65 zenon_H9e zenon_H196.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H115 | zenon_intro zenon_H27f ].
% 22.56/22.63 apply (zenon_L298_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H128 | zenon_intro zenon_H280 ].
% 22.56/22.63 apply (zenon_L139_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H93 | zenon_intro zenon_Hb9 ].
% 22.56/22.63 apply (zenon_L38_); trivial.
% 22.56/22.63 apply (zenon_L154_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2314_ *)
% 22.56/22.63 assert (zenon_L2315_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 22.56/22.63 do 0 intro. intros zenon_He4 zenon_H48 zenon_H2a zenon_H40 zenon_H196 zenon_H9e zenon_H65 zenon_H94 zenon_H189 zenon_H167 zenon_H129 zenon_H27e zenon_H7d zenon_H7e.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.56/22.63 apply (zenon_L65_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.56/22.63 exact (zenon_H40 zenon_H3f).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.56/22.63 apply (zenon_L2314_); trivial.
% 22.56/22.63 apply (zenon_L31_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2315_ *)
% 22.56/22.63 assert (zenon_L2316_ : (((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)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H13a zenon_H33 zenon_H9d zenon_Ha0 zenon_H73 zenon_H163 zenon_H1d4 zenon_H4e zenon_H25 zenon_H1ec zenon_H131 zenon_H158 zenon_H173 zenon_H156 zenon_H159 zenon_Ha9 zenon_H1cf zenon_He4 zenon_H48 zenon_H2a zenon_H40 zenon_H196 zenon_H65 zenon_H94 zenon_H189 zenon_H167 zenon_H129 zenon_H27e zenon_H7d zenon_H7e.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.63 apply (zenon_L245_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.63 apply (zenon_L53_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.63 apply (zenon_L276_); trivial.
% 22.56/22.63 apply (zenon_L2315_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2316_ *)
% 22.56/22.63 assert (zenon_L2317_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H27e zenon_H129 zenon_H167 zenon_H53 zenon_H189 zenon_H94 zenon_H65 zenon_Ha5 zenon_H195.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H115 | zenon_intro zenon_H27f ].
% 22.56/22.63 apply (zenon_L298_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H128 | zenon_intro zenon_H280 ].
% 22.56/22.63 apply (zenon_L139_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H93 | zenon_intro zenon_Hb9 ].
% 22.56/22.63 apply (zenon_L38_); trivial.
% 22.56/22.63 apply (zenon_L172_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2317_ *)
% 22.56/22.63 assert (zenon_L2318_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e1) (e1)) = (e3)) -> ((op (e3) (e3)) = (e0)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H25b zenon_H20f zenon_Hec zenon_H10c zenon_H167 zenon_Hb9 zenon_H195.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H136 | zenon_intro zenon_H25c ].
% 22.56/22.63 apply (zenon_L421_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H5c | zenon_intro zenon_H25d ].
% 22.56/22.63 exact (zenon_Hec zenon_H5c).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Ha5 ].
% 22.56/22.63 apply (zenon_L294_); trivial.
% 22.56/22.63 apply (zenon_L172_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2318_ *)
% 22.56/22.63 assert (zenon_L2319_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H13c zenon_Ha0 zenon_H25 zenon_H18a zenon_H9d zenon_H25b zenon_H20f zenon_Hec zenon_H196 zenon_H26a zenon_Hb6 zenon_H4d zenon_H27e zenon_H129 zenon_H167 zenon_H53 zenon_H189 zenon_H94 zenon_H65 zenon_H195.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.56/22.63 apply (zenon_L116_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H9e | zenon_intro zenon_H26b ].
% 22.56/22.63 apply (zenon_L2314_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H26c ].
% 22.56/22.63 apply (zenon_L2317_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc3 ].
% 22.56/22.63 apply (zenon_L2318_); trivial.
% 22.56/22.63 apply (zenon_L747_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.56/22.63 apply (zenon_L124_); trivial.
% 22.56/22.63 apply (zenon_L2317_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2319_ *)
% 22.56/22.63 assert (zenon_L2320_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H15c zenon_H173 zenon_H158 zenon_H1fe zenon_H167 zenon_H18a zenon_H65 zenon_H68 zenon_H48 zenon_H1f zenon_H40 zenon_He4 zenon_H1b3 zenon_H55 zenon_H77 zenon_H1a8 zenon_Ha0 zenon_H25 zenon_H26a zenon_H9d zenon_H20f zenon_H25b zenon_H195 zenon_H129 zenon_H189 zenon_H94 zenon_H196 zenon_H27e zenon_Hb6 zenon_H13c zenon_H2a zenon_Heb.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.63 apply (zenon_L1802_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.63 exact (zenon_H40 zenon_H3f).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.56/22.63 apply (zenon_L65_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.56/22.63 exact (zenon_H40 zenon_H3f).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.56/22.63 apply (zenon_L2319_); trivial.
% 22.56/22.63 apply (zenon_L288_); trivial.
% 22.56/22.63 exact (zenon_Hec zenon_H5c).
% 22.56/22.63 apply (zenon_L304_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2320_ *)
% 22.56/22.63 assert (zenon_L2321_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (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) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((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)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H169 zenon_H195 zenon_H25b zenon_H26a zenon_H1a8 zenon_H55 zenon_Heb zenon_H40 zenon_H25 zenon_H48 zenon_H15d zenon_H139 zenon_H33 zenon_H9d zenon_H1fe zenon_H18a zenon_H1f zenon_H27e zenon_H196 zenon_H189 zenon_H129 zenon_H7d zenon_He4 zenon_H82 zenon_Hb6 zenon_Ha0 zenon_H2a zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H94 zenon_H65 zenon_H13c zenon_Hf5 zenon_H5d zenon_H1c3 zenon_H68 zenon_H77 zenon_H167 zenon_H18d zenon_H20f zenon_H13b zenon_H13a zenon_H15c.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.56/22.63 apply (zenon_L250_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.63 apply (zenon_L2291_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.63 apply (zenon_L65_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.63 apply (zenon_L2293_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.63 apply (zenon_L1802_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.63 apply (zenon_L30_); trivial.
% 22.56/22.63 apply (zenon_L2316_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.63 apply (zenon_L251_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.63 apply (zenon_L147_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.63 apply (zenon_L502_); trivial.
% 22.56/22.63 apply (zenon_L2292_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.63 apply (zenon_L25_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.63 apply (zenon_L30_); trivial.
% 22.56/22.63 apply (zenon_L2316_); trivial.
% 22.56/22.63 apply (zenon_L2320_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2321_ *)
% 22.56/22.63 assert (zenon_L2322_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e2)) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H5a zenon_H190 zenon_H13e zenon_H16a zenon_H77 zenon_H68 zenon_H48 zenon_H129 zenon_H167 zenon_H141 zenon_H65.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.56/22.63 exact (zenon_H7b zenon_H65).
% 22.56/22.63 apply (zenon_L1814_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2322_ *)
% 22.56/22.63 assert (zenon_L2323_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (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) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((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)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (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) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((op (e3) (e3)) = (e0)) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H1c0 zenon_H195 zenon_H25b zenon_H26a zenon_H1a8 zenon_H55 zenon_Heb zenon_H48 zenon_H15d zenon_H139 zenon_H33 zenon_H1fe zenon_H18a zenon_H1f zenon_H27e zenon_H196 zenon_H189 zenon_H129 zenon_H7d zenon_He4 zenon_H82 zenon_Hb6 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H94 zenon_H65 zenon_H13c zenon_Hf5 zenon_H5d zenon_H1c3 zenon_H68 zenon_H77 zenon_H18d zenon_H20f zenon_H13b zenon_H13a zenon_H125 zenon_H236 zenon_H141 zenon_H16a zenon_H13e zenon_H190 zenon_He2 zenon_H1b7 zenon_H1c6 zenon_He3 zenon_H23d zenon_H1d5 zenon_H2c zenon_Hbc zenon_Hcc zenon_H167.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H162 | zenon_intro zenon_H9d ].
% 22.56/22.63 exact (zenon_H162 zenon_H167).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.56/22.63 apply (zenon_L2_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.56/22.63 apply (zenon_L2321_); trivial.
% 22.56/22.63 apply (zenon_L2321_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.56/22.63 apply (zenon_L28_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.56/22.63 apply (zenon_L1819_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.56/22.63 apply (zenon_L2304_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.56/22.63 apply (zenon_L11_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.56/22.63 apply (zenon_L2322_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.56/22.63 apply (zenon_L2306_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.56/22.63 apply (zenon_L2312_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.56/22.63 apply (zenon_L2313_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.56/22.63 apply (zenon_L37_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.56/22.63 apply (zenon_L39_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.56/22.63 apply (zenon_L2310_); trivial.
% 22.56/22.63 apply (zenon_L1876_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.56/22.63 apply (zenon_L221_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.56/22.63 apply (zenon_L201_); trivial.
% 22.56/22.63 apply (zenon_L51_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2323_ *)
% 22.56/22.63 assert (zenon_L2324_ : ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (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) (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 (e1) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e3) (e3)) = (e0)) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H28f zenon_Hfa zenon_Heb zenon_H48 zenon_H15d zenon_H1c6 zenon_H7d zenon_H129 zenon_H141 zenon_H82 zenon_H77 zenon_H68 zenon_H125 zenon_Hb6 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H94 zenon_H13c zenon_Hf5 zenon_H5d zenon_H1c3 zenon_H18d zenon_H20f zenon_H13b zenon_H13a zenon_H1d5 zenon_H33 zenon_H139 zenon_Hcc zenon_Hbc zenon_H236 zenon_H1ef zenon_H23c zenon_H100 zenon_H26a zenon_H13f zenon_H183 zenon_H190 zenon_H13e zenon_He4 zenon_H1f1 zenon_H6f zenon_H266 zenon_H16a zenon_Hf0 zenon_H1f zenon_H18a zenon_H1fe zenon_He2 zenon_H1b7 zenon_H55 zenon_H23d zenon_H2c zenon_H189 zenon_H196 zenon_H27e zenon_H1a8 zenon_H25b zenon_H195 zenon_H1c0 zenon_H1cb zenon_H140 zenon_H167 zenon_H1ca.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_He3 | zenon_intro zenon_H3c ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H13d | zenon_intro zenon_H65 ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H162 | zenon_intro zenon_H9d ].
% 22.56/22.63 exact (zenon_H162 zenon_H167).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.56/22.63 apply (zenon_L2_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.56/22.63 apply (zenon_L2296_); trivial.
% 22.56/22.63 apply (zenon_L2296_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.56/22.63 apply (zenon_L2302_); trivial.
% 22.56/22.63 apply (zenon_L2302_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.56/22.63 apply (zenon_L2303_); trivial.
% 22.56/22.63 apply (zenon_L2303_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.56/22.63 apply (zenon_L1819_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.56/22.63 apply (zenon_L2304_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.56/22.63 apply (zenon_L11_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.56/22.63 apply (zenon_L2305_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.56/22.63 apply (zenon_L2306_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.56/22.63 apply (zenon_L2312_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.56/22.63 apply (zenon_L2313_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.56/22.63 apply (zenon_L37_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.56/22.63 apply (zenon_L1831_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.56/22.63 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.56/22.63 apply (zenon_L1873_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.63 exact (zenon_H1f zenon_H1e).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.56/22.63 exact (zenon_H6c zenon_H67).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.56/22.63 apply (zenon_L171_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.56/22.63 apply (zenon_L2323_); trivial.
% 22.56/22.63 apply (zenon_L91_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.56/22.63 exact (zenon_H205 zenon_H2a).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.56/22.63 exact (zenon_He3 zenon_He7).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.56/22.63 apply (zenon_L702_); trivial.
% 22.56/22.63 apply (zenon_L556_); trivial.
% 22.56/22.63 apply (zenon_L416_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.63 exact (zenon_H1f zenon_H1e).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.63 exact (zenon_H1f zenon_H1e).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.56/22.63 exact (zenon_H237 zenon_H31).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.56/22.63 apply (zenon_L274_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.56/22.63 exact (zenon_H13d zenon_H14c).
% 22.56/22.63 apply (zenon_L266_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.63 exact (zenon_H4c zenon_H47).
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.63 apply (zenon_L1833_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.63 apply (zenon_L217_); trivial.
% 22.56/22.63 apply (zenon_L134_); trivial.
% 22.56/22.63 apply (zenon_L416_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.63 exact (zenon_H237 zenon_H31).
% 22.56/22.63 apply (zenon_L156_); trivial.
% 22.56/22.63 apply (zenon_L611_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.56/22.63 apply (zenon_L221_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.56/22.63 apply (zenon_L201_); trivial.
% 22.56/22.63 apply (zenon_L51_); trivial.
% 22.56/22.63 apply (zenon_L2323_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H13d | zenon_intro zenon_H65 ].
% 22.56/22.63 apply (zenon_L1836_); trivial.
% 22.56/22.63 apply (zenon_L1802_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2324_ *)
% 22.56/22.63 assert (zenon_L2325_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (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) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (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 (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (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) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (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 (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_H1bb zenon_H1ca zenon_H140 zenon_H1c0 zenon_H195 zenon_H25b zenon_H1a8 zenon_H27e zenon_H196 zenon_H189 zenon_H2c zenon_H23d zenon_H55 zenon_H1b7 zenon_He2 zenon_H1fe zenon_H18a zenon_H1f zenon_Hf0 zenon_H16a zenon_H266 zenon_H6f zenon_H1f1 zenon_He4 zenon_H13e zenon_H190 zenon_H183 zenon_H13f zenon_H26a zenon_H100 zenon_H23c zenon_H1ef zenon_H236 zenon_Hbc zenon_Hcc zenon_H139 zenon_H33 zenon_H1d5 zenon_H13a zenon_H13b zenon_H20f zenon_H18d zenon_H1c3 zenon_H5d zenon_Hf5 zenon_H13c zenon_H94 zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_Hb6 zenon_H125 zenon_H68 zenon_H77 zenon_H82 zenon_H141 zenon_H7d zenon_H1c6 zenon_H15d zenon_H48 zenon_Heb zenon_Hfa zenon_H28f zenon_H129 zenon_H128 zenon_H1cb zenon_H160 zenon_H9b zenon_H1b4.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 22.56/22.63 apply (zenon_L2324_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 22.56/22.63 apply (zenon_L85_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 22.56/22.63 apply (zenon_L236_); trivial.
% 22.56/22.63 apply (zenon_L1202_); trivial.
% 22.56/22.63 (* end of lemma zenon_L2325_ *)
% 22.56/22.63 assert (zenon_L2326_ : ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (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) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (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 (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (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) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (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 (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 22.56/22.63 do 0 intro. intros zenon_Hf7 zenon_H186 zenon_H4d zenon_H31 zenon_H1a2 zenon_H1bb zenon_H1ca zenon_H140 zenon_H1c0 zenon_H195 zenon_H25b zenon_H1a8 zenon_H27e zenon_H196 zenon_H189 zenon_H2c zenon_H23d zenon_H55 zenon_H1b7 zenon_He2 zenon_H1fe zenon_H18a zenon_H1f zenon_Hf0 zenon_H16a zenon_H266 zenon_H6f zenon_H1f1 zenon_He4 zenon_H13e zenon_H190 zenon_H183 zenon_H13f zenon_H26a zenon_H100 zenon_H23c zenon_H1ef zenon_H236 zenon_Hbc zenon_Hcc zenon_H139 zenon_H33 zenon_H1d5 zenon_H13a zenon_H13b zenon_H20f zenon_H18d zenon_H1c3 zenon_H5d zenon_Hf5 zenon_H13c zenon_H94 zenon_Ha9 zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_Ha0 zenon_Hb6 zenon_H125 zenon_H68 zenon_H77 zenon_H82 zenon_H141 zenon_H7d zenon_H1c6 zenon_H15d zenon_H48 zenon_Heb zenon_Hfa zenon_H28f zenon_H129 zenon_H128 zenon_H1cb zenon_H9b zenon_H1b4.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.56/22.63 apply (zenon_L264_); trivial.
% 22.56/22.63 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.56/22.64 apply (zenon_L438_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.56/22.64 apply (zenon_L1040_); trivial.
% 22.56/22.64 apply (zenon_L2325_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2326_ *)
% 22.56/22.64 assert (zenon_L2327_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_He4 zenon_H77 zenon_H6e zenon_H23c zenon_H48 zenon_H13f zenon_H3c zenon_H100 zenon_H1f1 zenon_H196 zenon_H9e zenon_H65 zenon_Ha9 zenon_H117 zenon_H109 zenon_H9d zenon_Hdd zenon_H14c zenon_Ha0 zenon_Hb6.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.56/22.64 apply (zenon_L214_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.56/22.64 apply (zenon_L492_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.56/22.64 apply (zenon_L111_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.56/22.64 apply (zenon_L69_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.56/22.64 apply (zenon_L284_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.56/22.64 apply (zenon_L2116_); trivial.
% 22.56/22.64 apply (zenon_L2261_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2327_ *)
% 22.56/22.64 assert (zenon_L2328_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 22.56/22.64 do 0 intro. intros zenon_He4 zenon_H6e zenon_H234 zenon_H48 zenon_H13f zenon_H77 zenon_H1f1 zenon_H196 zenon_H9e zenon_Hb6 zenon_Hdd zenon_Ha0 zenon_H65 zenon_Ha9 zenon_H117 zenon_H195 zenon_H5c.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.56/22.64 apply (zenon_L214_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.56/22.64 apply (zenon_L484_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.56/22.64 apply (zenon_L111_); trivial.
% 22.56/22.64 apply (zenon_L2117_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2328_ *)
% 22.56/22.64 assert (zenon_L2329_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H236 zenon_Ha0 zenon_H1f zenon_H68 zenon_H173 zenon_H201 zenon_H1cf zenon_H65 zenon_H1ef zenon_H14c zenon_Ha9 zenon_Hb6 zenon_H9b zenon_Hbc zenon_H1a2 zenon_H77 zenon_H48 zenon_H28f zenon_Hfa zenon_Heb zenon_H15d zenon_H1c6 zenon_H7d zenon_H129 zenon_H141 zenon_H82 zenon_H125 zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H156 zenon_H158 zenon_H94 zenon_H13c zenon_Hf5 zenon_H5d zenon_H1c3 zenon_H18d zenon_H20f zenon_H13b zenon_H13a zenon_H1d5 zenon_H33 zenon_H139 zenon_Hcc zenon_H23c zenon_H100 zenon_H26a zenon_H13f zenon_H183 zenon_H190 zenon_H13e zenon_He4 zenon_H1f1 zenon_H6f zenon_H266 zenon_H16a zenon_Hf0 zenon_H18a zenon_H1fe zenon_He2 zenon_H1b7 zenon_H55 zenon_H23d zenon_H2c zenon_H189 zenon_H27e zenon_H1a8 zenon_H25b zenon_H195 zenon_H1c0 zenon_H1cb zenon_H140 zenon_H1ca zenon_H1b4 zenon_H1bb zenon_H186 zenon_H109 zenon_H196 zenon_H117 zenon_H179 zenon_He3 zenon_H234.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.56/22.64 apply (zenon_L1873_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.64 exact (zenon_H1f zenon_H1e).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.64 exact (zenon_H205 zenon_H2a).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.64 exact (zenon_H1f zenon_H1e).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.64 exact (zenon_H6c zenon_H67).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.56/22.64 apply (zenon_L171_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.56/22.64 apply (zenon_L226_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.56/22.64 apply (zenon_L2289_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.56/22.64 apply (zenon_L30_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.56/22.64 apply (zenon_L2247_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.56/22.64 apply (zenon_L255_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.56/22.64 apply (zenon_L239_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.56/22.64 apply (zenon_L2326_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.56/22.64 apply (zenon_L255_); trivial.
% 22.56/22.64 apply (zenon_L2274_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.64 apply (zenon_L264_); trivial.
% 22.56/22.64 apply (zenon_L92_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.64 apply (zenon_L405_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.64 exact (zenon_H6c zenon_H67).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.56/22.64 apply (zenon_L297_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.56/22.64 exact (zenon_He3 zenon_He7).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.56/22.64 exact (zenon_H205 zenon_H2a).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.56/22.64 exact (zenon_He3 zenon_He7).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.64 apply (zenon_L2327_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.64 apply (zenon_L2262_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.64 apply (zenon_L117_); trivial.
% 22.56/22.64 apply (zenon_L2328_); trivial.
% 22.56/22.64 apply (zenon_L802_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.56/22.64 exact (zenon_H205 zenon_H2a).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.56/22.64 exact (zenon_He3 zenon_He7).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.64 apply (zenon_L2327_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.64 apply (zenon_L2262_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.64 apply (zenon_L2263_); trivial.
% 22.56/22.64 apply (zenon_L157_); trivial.
% 22.56/22.64 apply (zenon_L802_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.64 apply (zenon_L264_); trivial.
% 22.56/22.64 apply (zenon_L92_); trivial.
% 22.56/22.64 apply (zenon_L156_); trivial.
% 22.56/22.64 apply (zenon_L1876_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2329_ *)
% 22.56/22.64 assert (zenon_L2330_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H13b zenon_H34 zenon_H179 zenon_He3 zenon_H1cd zenon_Hb1 zenon_H14c zenon_H153 zenon_Hb6 zenon_H1a2 zenon_Ha0 zenon_Ha5.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.56/22.64 apply (zenon_L297_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.56/22.64 exact (zenon_He3 zenon_He7).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.56/22.64 apply (zenon_L362_); trivial.
% 22.56/22.64 apply (zenon_L90_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2330_ *)
% 22.56/22.64 assert (zenon_L2331_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H139 zenon_H2c zenon_H65 zenon_H68 zenon_H2a zenon_Ha5 zenon_Ha0 zenon_H1a2 zenon_Ha9 zenon_H14c zenon_Hac zenon_H1cd zenon_He3 zenon_H179 zenon_H34 zenon_H13b zenon_H155 zenon_H77.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.64 apply (zenon_L180_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.64 apply (zenon_L147_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.56/22.64 apply (zenon_L297_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.56/22.64 exact (zenon_He3 zenon_He7).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.56/22.64 apply (zenon_L1552_); trivial.
% 22.56/22.64 apply (zenon_L90_); trivial.
% 22.56/22.64 apply (zenon_L98_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2331_ *)
% 22.56/22.64 assert (zenon_L2332_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H15d zenon_H7d zenon_H5d zenon_Hb2 zenon_H48 zenon_Hb6 zenon_Hb1 zenon_H139 zenon_H2c zenon_H65 zenon_H68 zenon_H2a zenon_Ha5 zenon_Ha0 zenon_H1a2 zenon_Ha9 zenon_H14c zenon_Hac zenon_H1cd zenon_He3 zenon_H179 zenon_H34 zenon_H13b zenon_H77.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.64 apply (zenon_L356_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.64 apply (zenon_L65_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.64 apply (zenon_L2330_); trivial.
% 22.56/22.64 apply (zenon_L2331_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2332_ *)
% 22.56/22.64 assert (zenon_L2333_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H117 zenon_Ha9 zenon_H65 zenon_Hdd zenon_H14c zenon_Ha0 zenon_Ha5 zenon_H195.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.56/22.64 apply (zenon_L43_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.56/22.64 apply (zenon_L152_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.56/22.64 apply (zenon_L278_); trivial.
% 22.56/22.64 apply (zenon_L172_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2333_ *)
% 22.56/22.64 assert (zenon_L2334_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.56/22.64 do 0 intro. intros zenon_He2 zenon_H1d8 zenon_H31 zenon_He3 zenon_H195 zenon_Ha5 zenon_H14c zenon_H65 zenon_Ha9 zenon_H117 zenon_Ha0 zenon_Hac.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.56/22.64 apply (zenon_L254_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.56/22.64 exact (zenon_He3 zenon_He7).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.56/22.64 apply (zenon_L2333_); trivial.
% 22.56/22.64 apply (zenon_L107_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2334_ *)
% 22.56/22.64 assert (zenon_L2335_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H13b zenon_H34 zenon_H179 zenon_He3 zenon_H1cd zenon_Hac zenon_Ha0 zenon_H14c zenon_H66 zenon_Ha9 zenon_H1a2 zenon_Hf5 zenon_H38.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.56/22.64 apply (zenon_L297_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.56/22.64 exact (zenon_He3 zenon_He7).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.56/22.64 apply (zenon_L1552_); trivial.
% 22.56/22.64 apply (zenon_L663_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2335_ *)
% 22.56/22.64 assert (zenon_L2336_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H139 zenon_H2c zenon_H65 zenon_H77 zenon_H3d zenon_Hf5 zenon_H1a2 zenon_Ha9 zenon_H14c zenon_Ha0 zenon_Hac zenon_H1cd zenon_He3 zenon_H179 zenon_H34 zenon_H13b zenon_H38 zenon_H68.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.64 apply (zenon_L180_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.64 apply (zenon_L214_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.64 apply (zenon_L2335_); trivial.
% 22.56/22.64 apply (zenon_L165_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2336_ *)
% 22.56/22.64 assert (zenon_L2337_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H13b zenon_H186 zenon_H158 zenon_H40 zenon_H156 zenon_H159 zenon_H1d4 zenon_H4e zenon_H1ec zenon_He3 zenon_H1cd zenon_Hac zenon_H14c zenon_H66 zenon_Ha9 zenon_H1a2 zenon_Ha0 zenon_Ha5.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.56/22.64 apply (zenon_L309_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.56/22.64 exact (zenon_He3 zenon_He7).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.56/22.64 apply (zenon_L1552_); trivial.
% 22.56/22.64 apply (zenon_L90_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2337_ *)
% 22.56/22.64 assert (zenon_L2338_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (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) (e2)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H139 zenon_H2c zenon_H65 zenon_H173 zenon_Ha5 zenon_Ha0 zenon_H1a2 zenon_Ha9 zenon_H14c zenon_Hac zenon_H1cd zenon_He3 zenon_H1ec zenon_H4e zenon_H1d4 zenon_H159 zenon_H156 zenon_H40 zenon_H158 zenon_H186 zenon_H13b zenon_H38 zenon_H68.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.64 apply (zenon_L180_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.64 apply (zenon_L306_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.64 apply (zenon_L2337_); trivial.
% 22.56/22.64 apply (zenon_L165_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2338_ *)
% 22.56/22.64 assert (zenon_L2339_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H169 zenon_H11a zenon_H3e zenon_H236 zenon_H55 zenon_H1fb zenon_Hf5 zenon_H1d8 zenon_H117 zenon_H195 zenon_He2 zenon_Heb zenon_H40 zenon_H48 zenon_H1ef zenon_H14c zenon_H15d zenon_H2c zenon_H68 zenon_H77 zenon_H139 zenon_H179 zenon_He3 zenon_H1a2 zenon_H1cd zenon_Hb1 zenon_Ha0 zenon_H13b zenon_Hb6 zenon_H5d zenon_Ha5 zenon_Ha9 zenon_H65 zenon_H7d zenon_Hac zenon_Hb2 zenon_H1fe zenon_H1f zenon_H173 zenon_H1ec zenon_H186 zenon_H156 zenon_H158 zenon_H4e zenon_H15c.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.64 exact (zenon_H1f zenon_H1e).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.64 exact (zenon_H1f zenon_H1e).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.64 apply (zenon_L250_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.64 apply (zenon_L405_); trivial.
% 22.56/22.64 apply (zenon_L2332_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.64 apply (zenon_L2334_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.64 exact (zenon_H1f zenon_H1e).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.64 apply (zenon_L250_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.64 apply (zenon_L1594_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.64 apply (zenon_L356_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.64 apply (zenon_L2336_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.64 apply (zenon_L2330_); trivial.
% 22.56/22.64 apply (zenon_L246_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.64 exact (zenon_H1f zenon_H1e).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.64 exact (zenon_H1f zenon_H1e).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.64 apply (zenon_L309_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.64 apply (zenon_L405_); trivial.
% 22.56/22.64 apply (zenon_L2332_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.64 apply (zenon_L2334_); trivial.
% 22.56/22.64 apply (zenon_L2338_); trivial.
% 22.56/22.64 apply (zenon_L374_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2339_ *)
% 22.56/22.64 assert (zenon_L2340_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> False).
% 22.56/22.64 do 0 intro. intros zenon_Hc0 zenon_H14c zenon_H65.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.56/22.64 apply (zenon_L2277_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2340_ *)
% 22.56/22.64 assert (zenon_L2341_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (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) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (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) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H169 zenon_H2c zenon_Hbc zenon_H1a2 zenon_H24 zenon_Hfa zenon_Hf5 zenon_Heb zenon_H40 zenon_H25 zenon_H48 zenon_H15d zenon_H68 zenon_H28 zenon_H82 zenon_H77 zenon_H158 zenon_H173 zenon_He3 zenon_H13a zenon_He4 zenon_H65 zenon_H1f1 zenon_H195 zenon_H13f zenon_H109 zenon_Hb6 zenon_H14c zenon_H196 zenon_H117 zenon_Ha9 zenon_H2a zenon_Ha0 zenon_H9d zenon_H33 zenon_H156 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H139 zenon_H15c.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.56/22.64 apply (zenon_L250_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.64 apply (zenon_L251_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.64 apply (zenon_L306_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.64 apply (zenon_L245_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.64 apply (zenon_L53_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.64 apply (zenon_L193_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.64 apply (zenon_L25_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.64 exact (zenon_H40 zenon_H3f).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.64 exact (zenon_H1d4 zenon_H4d).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.56/22.64 apply (zenon_L65_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.56/22.64 exact (zenon_H40 zenon_H3f).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.56/22.64 apply (zenon_L2247_); trivial.
% 22.56/22.64 apply (zenon_L1268_); trivial.
% 22.56/22.64 apply (zenon_L2292_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.64 apply (zenon_L65_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.64 apply (zenon_L2293_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.64 apply (zenon_L26_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.64 apply (zenon_L30_); trivial.
% 22.56/22.64 apply (zenon_L134_); trivial.
% 22.56/22.64 apply (zenon_L2295_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.64 apply (zenon_L180_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.64 apply (zenon_L147_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.64 apply (zenon_L1475_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.64 exact (zenon_H40 zenon_H3f).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.64 apply (zenon_L279_); trivial.
% 22.56/22.64 exact (zenon_Hec zenon_H5c).
% 22.56/22.64 apply (zenon_L303_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.64 apply (zenon_L65_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.64 apply (zenon_L251_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.64 apply (zenon_L147_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.64 apply (zenon_L94_); trivial.
% 22.56/22.64 apply (zenon_L303_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.64 apply (zenon_L26_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.64 apply (zenon_L30_); trivial.
% 22.56/22.64 apply (zenon_L134_); trivial.
% 22.56/22.64 apply (zenon_L503_); trivial.
% 22.56/22.64 apply (zenon_L1113_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2341_ *)
% 22.56/22.64 assert (zenon_L2342_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (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 (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (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 (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e0)) = (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)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H13b zenon_H179 zenon_He3 zenon_He2 zenon_H1fb zenon_H36 zenon_Hf0 zenon_H9d zenon_H131 zenon_Hcb zenon_H162 zenon_H24e zenon_H1cd zenon_H192 zenon_H15d zenon_H24 zenon_Hc2 zenon_Heb zenon_H7d zenon_H34 zenon_H1cb zenon_H5d zenon_H18d zenon_H104 zenon_H111 zenon_H183 zenon_H129 zenon_H1b4 zenon_H1bb zenon_H18a zenon_H1ef zenon_H14c zenon_H6f zenon_H109 zenon_H117 zenon_H1b7 zenon_H1f1 zenon_H13f zenon_H201 zenon_H4e zenon_H23c zenon_He4 zenon_H1cf zenon_H1c3 zenon_H26a zenon_H190 zenon_H186 zenon_H1a2 zenon_H195 zenon_H20f zenon_Hf5 zenon_H25b zenon_H1d8 zenon_H82 zenon_H68 zenon_H77 zenon_H121 zenon_Ha0 zenon_Hb6 zenon_Ha9 zenon_H33 zenon_H13a zenon_H1c7 zenon_H1a3 zenon_Hc4 zenon_H65 zenon_H2c zenon_H139 zenon_H38 zenon_H48.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.64 apply (zenon_L2266_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.64 apply (zenon_L1302_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.64 apply (zenon_L1410_); trivial.
% 22.56/22.64 apply (zenon_L246_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2342_ *)
% 22.56/22.64 assert (zenon_L2343_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 22.56/22.64 do 0 intro. intros zenon_He2 zenon_H1fb zenon_H38 zenon_He3 zenon_Hb6 zenon_Ha0 zenon_H14c zenon_H9d zenon_H109 zenon_H117 zenon_Hc2 zenon_Hbc zenon_H104 zenon_H1bb zenon_H1cb zenon_H120 zenon_H162 zenon_H1a3 zenon_H231 zenon_H48 zenon_H77 zenon_H65 zenon_H13f zenon_H7d zenon_H34.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.56/22.64 apply (zenon_L316_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.56/22.64 exact (zenon_He3 zenon_He7).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.56/22.64 apply (zenon_L30_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.56/22.64 apply (zenon_L111_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.56/22.64 apply (zenon_L477_); trivial.
% 22.56/22.64 apply (zenon_L2261_); trivial.
% 22.56/22.64 apply (zenon_L802_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2343_ *)
% 22.56/22.64 assert (zenon_L2344_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (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) (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 (e1) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H31 zenon_H6e zenon_Hf7 zenon_H1b4 zenon_H9b zenon_H1cb zenon_H129 zenon_H28f zenon_Hfa zenon_Heb zenon_H48 zenon_H15d zenon_H1c6 zenon_H141 zenon_H82 zenon_H77 zenon_H68 zenon_H125 zenon_Hb6 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H94 zenon_H13c zenon_Hf5 zenon_H5d zenon_H1c3 zenon_H18d zenon_H20f zenon_H13b zenon_H13a zenon_H1d5 zenon_H33 zenon_H139 zenon_Hcc zenon_Hbc zenon_H236 zenon_H1ef zenon_H23c zenon_H100 zenon_H26a zenon_H13f zenon_H183 zenon_H190 zenon_H13e zenon_He4 zenon_H1f1 zenon_H6f zenon_H266 zenon_H16a zenon_Hf0 zenon_H1f zenon_H18a zenon_H1fe zenon_He2 zenon_H55 zenon_H23d zenon_H2c zenon_H189 zenon_H196 zenon_H27e zenon_H1a8 zenon_H25b zenon_H195 zenon_H1c0 zenon_H140 zenon_H1ca zenon_H1bb zenon_H24e zenon_H34 zenon_H1b7 zenon_H1cd zenon_H160 zenon_H9d zenon_H7d.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.56/22.64 apply (zenon_L871_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.56/22.64 apply (zenon_L206_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.56/22.64 apply (zenon_L2325_); trivial.
% 22.56/22.64 apply (zenon_L803_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2344_ *)
% 22.56/22.64 assert (zenon_L2345_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((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)) = (op (e3) (e0)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (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) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (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 (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (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 (e0) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H236 zenon_Ha0 zenon_H1f zenon_H48 zenon_H3c zenon_H1ef zenon_H14c zenon_H77 zenon_H173 zenon_H201 zenon_H1cf zenon_H65 zenon_H68 zenon_Ha9 zenon_Hb6 zenon_H9b zenon_Hbc zenon_H1a2 zenon_H13a zenon_H33 zenon_H1bb zenon_H1b4 zenon_H1ca zenon_H140 zenon_H1cb zenon_H1c0 zenon_H195 zenon_H25b zenon_H1a8 zenon_H27e zenon_H196 zenon_H189 zenon_H2c zenon_H23d zenon_H55 zenon_H1b7 zenon_He2 zenon_H1fe zenon_H18a zenon_Hf0 zenon_H16a zenon_H266 zenon_H6f zenon_H1f1 zenon_He4 zenon_H13e zenon_H190 zenon_H183 zenon_H13f zenon_H26a zenon_H100 zenon_H23c zenon_Hcc zenon_H139 zenon_H1d5 zenon_H13b zenon_H20f zenon_H18d zenon_H1c3 zenon_H5d zenon_Hf5 zenon_H13c zenon_H94 zenon_H158 zenon_H156 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H82 zenon_H141 zenon_H129 zenon_H7d zenon_H1c6 zenon_H15d zenon_Heb zenon_Hfa zenon_H28f zenon_H24e zenon_H1cd zenon_H125 zenon_H186.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.56/22.64 apply (zenon_L1873_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.64 exact (zenon_H1f zenon_H1e).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.64 exact (zenon_H205 zenon_H2a).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.64 exact (zenon_H1f zenon_H1e).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.64 apply (zenon_L25_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.64 apply (zenon_L405_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.64 exact (zenon_H6c zenon_H67).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.56/22.64 apply (zenon_L24_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.56/22.64 apply (zenon_L226_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.56/22.64 apply (zenon_L2289_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.56/22.64 apply (zenon_L264_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.56/22.64 apply (zenon_L438_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.56/22.64 apply (zenon_L1132_); trivial.
% 22.56/22.64 apply (zenon_L2344_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.64 apply (zenon_L264_); trivial.
% 22.56/22.64 apply (zenon_L92_); trivial.
% 22.56/22.64 apply (zenon_L1353_); trivial.
% 22.56/22.64 apply (zenon_L1876_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2345_ *)
% 22.56/22.64 assert (zenon_L2346_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (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) (e2)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H139 zenon_H2c zenon_H65 zenon_H173 zenon_Ha5 zenon_Ha0 zenon_H1a2 zenon_Ha9 zenon_H14c zenon_Hac zenon_H1cd zenon_He3 zenon_H1ec zenon_H4e zenon_H1d4 zenon_H159 zenon_H156 zenon_H40 zenon_H158 zenon_H186 zenon_H13b zenon_H155 zenon_H77.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.64 apply (zenon_L180_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.64 apply (zenon_L306_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.64 apply (zenon_L2337_); trivial.
% 22.56/22.64 apply (zenon_L98_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2346_ *)
% 22.56/22.64 assert (zenon_L2347_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H169 zenon_H11a zenon_H236 zenon_H55 zenon_H1fb zenon_Hf5 zenon_H1d8 zenon_H117 zenon_H195 zenon_He2 zenon_Heb zenon_H40 zenon_H48 zenon_H68 zenon_H65 zenon_H15d zenon_H2c zenon_Ha9 zenon_Hac zenon_H77 zenon_H139 zenon_H179 zenon_He3 zenon_H1a2 zenon_H1cd zenon_Hb1 zenon_H14c zenon_Ha0 zenon_Hb6 zenon_Ha5 zenon_H13b zenon_H3c zenon_H24 zenon_H1fe zenon_H1f zenon_H158 zenon_H173 zenon_H4e zenon_H156 zenon_H186 zenon_H1ec zenon_H15c.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.64 exact (zenon_H1f zenon_H1e).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.64 exact (zenon_H1f zenon_H1e).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.64 apply (zenon_L250_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.64 apply (zenon_L27_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.64 apply (zenon_L1475_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.64 apply (zenon_L65_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.64 apply (zenon_L2330_); trivial.
% 22.56/22.64 apply (zenon_L2331_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.64 apply (zenon_L2334_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.64 exact (zenon_H1f zenon_H1e).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.64 apply (zenon_L25_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.64 apply (zenon_L1594_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.64 apply (zenon_L1475_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.64 apply (zenon_L2336_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.64 apply (zenon_L2330_); trivial.
% 22.56/22.64 apply (zenon_L246_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.64 exact (zenon_H1f zenon_H1e).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.64 exact (zenon_H1f zenon_H1e).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.64 apply (zenon_L25_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.64 apply (zenon_L27_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.64 apply (zenon_L1475_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.64 apply (zenon_L65_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.64 apply (zenon_L2330_); trivial.
% 22.56/22.64 apply (zenon_L2346_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.64 apply (zenon_L2334_); trivial.
% 22.56/22.64 apply (zenon_L2338_); trivial.
% 22.56/22.64 apply (zenon_L373_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2347_ *)
% 22.56/22.64 assert (zenon_L2348_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H173 zenon_Hf0 zenon_H6d zenon_H158 zenon_H28 zenon_H48 zenon_H40 zenon_H131 zenon_H105 zenon_Heb.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.56/22.64 apply (zenon_L392_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2348_ *)
% 22.56/22.64 assert (zenon_L2349_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H2f zenon_H105 zenon_H6d.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.56/22.64 apply (zenon_L466_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2349_ *)
% 22.56/22.64 assert (zenon_L2350_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H15d zenon_H4c zenon_H120 zenon_H104 zenon_H192 zenon_H34 zenon_H12e zenon_H105 zenon_H111 zenon_H38 zenon_H48.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.64 exact (zenon_H4c zenon_H47).
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.64 apply (zenon_L1650_); trivial.
% 22.56/22.64 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.64 apply (zenon_L148_); trivial.
% 22.56/22.64 apply (zenon_L246_); trivial.
% 22.56/22.64 (* end of lemma zenon_L2350_ *)
% 22.56/22.64 assert (zenon_L2351_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> False).
% 22.56/22.64 do 0 intro. intros zenon_H36 zenon_H15d zenon_H4c zenon_H120 zenon_H104 zenon_H192 zenon_H12e zenon_H105 zenon_H111 zenon_H48.
% 22.56/22.64 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.56/22.65 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.56/22.65 apply (zenon_L2350_); trivial.
% 22.56/22.65 (* end of lemma zenon_L2351_ *)
% 22.56/22.65 assert (zenon_L2352_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e1)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (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 (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_H290 zenon_H234 zenon_H105 zenon_H230 zenon_Heb zenon_H131 zenon_H48 zenon_H158 zenon_Hf0 zenon_H2a zenon_H173 zenon_H1d8 zenon_H1fb zenon_H77 zenon_H1fe zenon_H104 zenon_H179 zenon_H140 zenon_H183 zenon_H1b4 zenon_H163 zenon_H129 zenon_H20b zenon_H190 zenon_H19a zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H1bb zenon_H20f zenon_H1c3 zenon_H1cf zenon_H19d zenon_H15d zenon_Hf5 zenon_H111 zenon_H192 zenon_H6f zenon_H13a zenon_H13b zenon_H1a2 zenon_H1ef zenon_H68 zenon_H73 zenon_Hfa zenon_H196 zenon_H117 zenon_H121 zenon_H177 zenon_H11a zenon_Ha9 zenon_H1c6 zenon_Ha0 zenon_Hb6 zenon_H139 zenon_H125 zenon_H164 zenon_H55 zenon_H1cb zenon_He4 zenon_H156 zenon_H94 zenon_H22d zenon_H109 zenon_H100 zenon_Hb2 zenon_H4e zenon_H82 zenon_H189 zenon_H1a8 zenon_H186 zenon_H13c zenon_H5d zenon_Hcc zenon_H264.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H1bf | zenon_intro zenon_H6d ].
% 22.56/22.65 exact (zenon_H1bf zenon_H105).
% 22.56/22.65 apply (zenon_L468_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H1bf | zenon_intro zenon_H6d ].
% 22.56/22.65 exact (zenon_H1bf zenon_H105).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.56/22.65 apply (zenon_L2_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.56/22.65 apply (zenon_L482_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.56/22.65 apply (zenon_L315_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.56/22.65 apply (zenon_L317_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.56/22.65 apply (zenon_L318_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.56/22.65 apply (zenon_L11_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.56/22.65 apply (zenon_L483_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.56/22.65 apply (zenon_L485_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.56/22.65 apply (zenon_L435_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.56/22.65 apply (zenon_L522_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.56/22.65 apply (zenon_L37_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.56/22.65 apply (zenon_L458_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.56/22.65 apply (zenon_L460_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.56/22.65 apply (zenon_L531_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.56/22.65 apply (zenon_L467_); trivial.
% 22.56/22.65 apply (zenon_L51_); trivial.
% 22.56/22.65 (* end of lemma zenon_L2352_ *)
% 22.56/22.65 assert (zenon_L2353_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e1)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (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 (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (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 (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_H23b zenon_H290 zenon_H234 zenon_H105 zenon_H230 zenon_Heb zenon_H131 zenon_H158 zenon_Hf0 zenon_H173 zenon_H1d8 zenon_H1fb zenon_H77 zenon_H1fe zenon_H104 zenon_H179 zenon_H140 zenon_H183 zenon_H1b4 zenon_H163 zenon_H129 zenon_H20b zenon_H190 zenon_H19a zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H1bb zenon_H20f zenon_H1c3 zenon_H1cf zenon_H19d zenon_H15d zenon_Hf5 zenon_H111 zenon_H192 zenon_H6f zenon_H13a zenon_H13b zenon_H1a2 zenon_H1ef zenon_H68 zenon_H73 zenon_Hfa zenon_H196 zenon_H117 zenon_H121 zenon_H177 zenon_H11a zenon_Ha9 zenon_H1c6 zenon_Ha0 zenon_Hb6 zenon_H139 zenon_H125 zenon_H164 zenon_H55 zenon_H1cb zenon_He4 zenon_H156 zenon_H94 zenon_H22d zenon_H109 zenon_H100 zenon_Hb2 zenon_H4e zenon_H82 zenon_H189 zenon_H1a8 zenon_H186 zenon_H13c zenon_H5d zenon_Hcc zenon_H264 zenon_H1f zenon_H48 zenon_H3d zenon_H237 zenon_H236.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.56/22.65 apply (zenon_L487_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.65 exact (zenon_H1f zenon_H1e).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.65 apply (zenon_L2352_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.65 exact (zenon_H237 zenon_H31).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.65 apply (zenon_L1841_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.65 apply (zenon_L214_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.65 apply (zenon_L488_); trivial.
% 22.56/22.65 apply (zenon_L165_); trivial.
% 22.56/22.65 (* end of lemma zenon_L2353_ *)
% 22.56/22.65 assert (zenon_L2354_ : (((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)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_H12e zenon_H77 zenon_H102 zenon_H3d zenon_H192 zenon_H105 zenon_H104 zenon_H120.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.56/22.65 apply (zenon_L71_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.56/22.65 apply (zenon_L146_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.56/22.65 apply (zenon_L72_); trivial.
% 22.56/22.65 exact (zenon_H120 zenon_H11f).
% 22.56/22.65 (* end of lemma zenon_L2354_ *)
% 22.56/22.65 assert (zenon_L2355_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((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) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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 (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (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 (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (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) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_H240 zenon_H3c zenon_H120 zenon_H12e zenon_H6d zenon_H236 zenon_H3d zenon_H48 zenon_H1f zenon_H264 zenon_Hcc zenon_H5d zenon_H13c zenon_H186 zenon_H1a8 zenon_H189 zenon_H82 zenon_H4e zenon_Hb2 zenon_H100 zenon_H109 zenon_H22d zenon_H94 zenon_H156 zenon_He4 zenon_H1cb zenon_H55 zenon_H164 zenon_H125 zenon_H139 zenon_Hb6 zenon_Ha0 zenon_H1c6 zenon_Ha9 zenon_H11a zenon_H177 zenon_H121 zenon_H117 zenon_H196 zenon_Hfa zenon_H73 zenon_H68 zenon_H1ef zenon_H1a2 zenon_H13b zenon_H13a zenon_H6f zenon_H192 zenon_H111 zenon_Hf5 zenon_H15d zenon_H19d zenon_H1cf zenon_H1c3 zenon_H20f zenon_H1bb zenon_H212 zenon_Hbc zenon_H7d zenon_H18a zenon_H19a zenon_H190 zenon_H20b zenon_H129 zenon_H163 zenon_H1b4 zenon_H183 zenon_H140 zenon_H179 zenon_H104 zenon_H1fe zenon_H77 zenon_H1fb zenon_H1d8 zenon_H173 zenon_Hf0 zenon_H158 zenon_H131 zenon_Heb zenon_H230 zenon_H105 zenon_H234 zenon_H290 zenon_H23b.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.56/22.65 apply (zenon_L2353_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.65 exact (zenon_H1f zenon_H1e).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.65 apply (zenon_L25_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.56/22.65 exact (zenon_H6c zenon_H67).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.56/22.65 apply (zenon_L24_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.56/22.65 apply (zenon_L27_); trivial.
% 22.56/22.65 apply (zenon_L2354_); trivial.
% 22.56/22.65 apply (zenon_L1847_); trivial.
% 22.56/22.65 (* end of lemma zenon_L2355_ *)
% 22.56/22.65 assert (zenon_L2356_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_H61 zenon_H15d zenon_H4c zenon_H192 zenon_H105 zenon_H111 zenon_Hf5.
% 22.56/22.65 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 22.56/22.65 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.65 exact (zenon_H4c zenon_H47).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.65 apply (zenon_L146_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.65 apply (zenon_L148_); trivial.
% 22.56/22.65 apply (zenon_L192_); trivial.
% 22.56/22.65 (* end of lemma zenon_L2356_ *)
% 22.56/22.65 assert (zenon_L2357_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_Heb zenon_H7a zenon_H40 zenon_H105 zenon_H131 zenon_Hec.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.65 exact (zenon_H7a zenon_H3c).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.65 exact (zenon_H40 zenon_H3f).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.65 apply (zenon_L128_); trivial.
% 22.56/22.65 exact (zenon_Hec zenon_H5c).
% 22.56/22.65 (* end of lemma zenon_L2357_ *)
% 22.56/22.65 assert (zenon_L2358_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_Heb zenon_H7a zenon_H40 zenon_H77 zenon_H87 zenon_H11f zenon_H20f.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.65 exact (zenon_H7a zenon_H3c).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.65 exact (zenon_H40 zenon_H3f).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.65 apply (zenon_L343_); trivial.
% 22.56/22.65 apply (zenon_L412_); trivial.
% 22.56/22.65 (* end of lemma zenon_L2358_ *)
% 22.56/22.65 assert (zenon_L2359_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_H15d zenon_H4c zenon_H20f zenon_H104 zenon_H192 zenon_H12e zenon_H55 zenon_H6d zenon_H72 zenon_H4e zenon_H1e zenon_H68 zenon_H125 zenon_H105 zenon_H111 zenon_Heb zenon_H7a zenon_H40 zenon_H77 zenon_H87 zenon_Hf5.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.65 exact (zenon_H4c zenon_H47).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.56/22.65 apply (zenon_L20_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.56/22.65 apply (zenon_L83_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.56/22.65 apply (zenon_L34_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.56/22.65 apply (zenon_L71_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.56/22.65 apply (zenon_L146_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.56/22.65 apply (zenon_L72_); trivial.
% 22.56/22.65 apply (zenon_L2358_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.65 apply (zenon_L148_); trivial.
% 22.56/22.65 apply (zenon_L1082_); trivial.
% 22.56/22.65 (* end of lemma zenon_L2359_ *)
% 22.56/22.65 assert (zenon_L2360_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_Heb zenon_H7a zenon_H40 zenon_H105 zenon_H131 zenon_H155 zenon_Hf5.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.65 exact (zenon_H7a zenon_H3c).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.65 exact (zenon_H40 zenon_H3f).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.65 apply (zenon_L128_); trivial.
% 22.56/22.65 apply (zenon_L192_); trivial.
% 22.56/22.65 (* end of lemma zenon_L2360_ *)
% 22.56/22.65 assert (zenon_L2361_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_H15d zenon_H4c zenon_H1cd zenon_H6d zenon_Ha9 zenon_H159 zenon_Hb6 zenon_H1c6 zenon_H72 zenon_H31 zenon_Ha0 zenon_H1a2 zenon_H111 zenon_Heb zenon_H7a zenon_H40 zenon_H105 zenon_H131 zenon_Hf5.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.65 exact (zenon_H4c zenon_H47).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.56/22.65 apply (zenon_L68_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.56/22.65 apply (zenon_L436_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.56/22.65 apply (zenon_L400_); trivial.
% 22.56/22.65 apply (zenon_L1111_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.65 apply (zenon_L148_); trivial.
% 22.56/22.65 apply (zenon_L2360_); trivial.
% 22.56/22.65 (* end of lemma zenon_L2361_ *)
% 22.56/22.65 assert (zenon_L2362_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_H1a2 zenon_H67 zenon_H105 zenon_H72 zenon_H14c zenon_Ha0 zenon_H1c6 zenon_Hb6 zenon_H3d zenon_H159 zenon_Ha9 zenon_H6d zenon_H1cd.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.56/22.65 apply (zenon_L446_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.56/22.65 apply (zenon_L436_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.56/22.65 apply (zenon_L278_); trivial.
% 22.56/22.65 apply (zenon_L1111_); trivial.
% 22.56/22.65 (* end of lemma zenon_L2362_ *)
% 22.56/22.65 assert (zenon_L2363_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_H15d zenon_H4c zenon_H68 zenon_H38 zenon_H72 zenon_H73 zenon_H77 zenon_H140 zenon_H26d zenon_H1cd zenon_H6d zenon_H159 zenon_H1c6 zenon_H1a2 zenon_Ha9 zenon_Hb6 zenon_Ha0 zenon_H139 zenon_H111 zenon_Heb zenon_H7a zenon_H40 zenon_H105 zenon_H131 zenon_Hf5.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.65 exact (zenon_H4c zenon_H47).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.56/22.65 apply (zenon_L756_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.56/22.65 apply (zenon_L62_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.56/22.65 apply (zenon_L2362_); trivial.
% 22.56/22.65 apply (zenon_L726_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.65 apply (zenon_L214_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.65 apply (zenon_L22_); trivial.
% 22.56/22.65 apply (zenon_L165_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.65 apply (zenon_L148_); trivial.
% 22.56/22.65 apply (zenon_L2360_); trivial.
% 22.56/22.65 (* end of lemma zenon_L2363_ *)
% 22.56/22.65 assert (zenon_L2364_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((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 (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_H15c zenon_H15d zenon_Hf5 zenon_H111 zenon_H68 zenon_H4e zenon_H72 zenon_H55 zenon_H6d zenon_H12e zenon_H87 zenon_H20f zenon_H104 zenon_H192 zenon_H77 zenon_H125 zenon_H4c zenon_H290 zenon_H234 zenon_H230 zenon_H48 zenon_H158 zenon_Hf0 zenon_H173 zenon_H1d8 zenon_H1fb zenon_H1fe zenon_H179 zenon_H140 zenon_H183 zenon_H1b4 zenon_H163 zenon_H129 zenon_H20b zenon_H190 zenon_H19a zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H1bb zenon_H1c3 zenon_H1cf zenon_H19d zenon_H6f zenon_H13a zenon_H13b zenon_H1a2 zenon_H1ef zenon_H73 zenon_Hfa zenon_H196 zenon_H117 zenon_H121 zenon_H177 zenon_H11a zenon_Ha9 zenon_H1c6 zenon_Ha0 zenon_Hb6 zenon_H139 zenon_H164 zenon_H1cb zenon_He4 zenon_H156 zenon_H94 zenon_H22d zenon_H109 zenon_H100 zenon_Hb2 zenon_H82 zenon_H189 zenon_H1a8 zenon_H186 zenon_H13c zenon_H5d zenon_Hcc zenon_H264 zenon_H1cd zenon_H26d zenon_H236 zenon_H7a zenon_H40 zenon_H131 zenon_H105 zenon_Heb.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.56/22.65 apply (zenon_L2357_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.65 apply (zenon_L2359_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.65 apply (zenon_L2352_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.65 apply (zenon_L2361_); trivial.
% 22.56/22.65 apply (zenon_L2363_); trivial.
% 22.56/22.65 (* end of lemma zenon_L2364_ *)
% 22.56/22.65 assert (zenon_L2365_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (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 (e2) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_H15d zenon_H87 zenon_H55 zenon_H4e zenon_H125 zenon_Heb zenon_H100 zenon_H40 zenon_Hec zenon_H12e zenon_H192 zenon_H104 zenon_H120 zenon_H4c zenon_H82 zenon_H105 zenon_H111 zenon_H139 zenon_H68 zenon_H1e zenon_H6f zenon_H6d zenon_H73 zenon_H72 zenon_H77.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.65 exact (zenon_H4c zenon_H47).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.65 exact (zenon_H4c zenon_H47).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.56/22.65 apply (zenon_L20_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.56/22.65 apply (zenon_L24_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.56/22.65 apply (zenon_L34_); trivial.
% 22.56/22.65 apply (zenon_L2354_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.65 apply (zenon_L70_); trivial.
% 22.56/22.65 apply (zenon_L84_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.65 apply (zenon_L148_); trivial.
% 22.56/22.65 apply (zenon_L99_); trivial.
% 22.56/22.65 (* end of lemma zenon_L2365_ *)
% 22.56/22.65 assert (zenon_L2366_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_Hb2 zenon_H155 zenon_H17c zenon_Hb6 zenon_H3c zenon_H94 zenon_Hb9 zenon_Hbb zenon_Hbc.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.56/22.65 apply (zenon_L444_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.56/22.65 apply (zenon_L46_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.56/22.65 apply (zenon_L47_); trivial.
% 22.56/22.65 apply (zenon_L48_); trivial.
% 22.56/22.65 (* end of lemma zenon_L2366_ *)
% 22.56/22.65 assert (zenon_L2367_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_H1bb zenon_H195 zenon_H10c zenon_Hec zenon_H20f zenon_H25b zenon_H120 zenon_Hbc zenon_Hb9 zenon_H94 zenon_H3c zenon_Hb6 zenon_H155 zenon_Hb2 zenon_Hbb zenon_H1cb.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 22.56/22.65 apply (zenon_L2318_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 22.56/22.65 exact (zenon_H120 zenon_H11f).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 22.56/22.65 apply (zenon_L2366_); trivial.
% 22.56/22.65 apply (zenon_L622_); trivial.
% 22.56/22.65 (* end of lemma zenon_L2367_ *)
% 22.56/22.65 assert (zenon_L2368_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e1) (e3)) = (e1))) -> False).
% 22.56/22.65 do 0 intro. intros zenon_H13b zenon_H48 zenon_He3 zenon_H68 zenon_Heb zenon_Ha0 zenon_H72 zenon_Ha9 zenon_H1a2 zenon_H31 zenon_H105 zenon_H18d zenon_H1cb zenon_Hb2 zenon_H94 zenon_Hbc zenon_H25b zenon_H20f zenon_H195 zenon_H1bb zenon_Hb6 zenon_H104 zenon_H6d zenon_H2d zenon_H117 zenon_H120 zenon_H13c zenon_H40 zenon_H77 zenon_H87 zenon_Hec.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.56/22.65 apply (zenon_L60_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.56/22.65 exact (zenon_He3 zenon_He7).
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.56/22.65 apply (zenon_L62_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.56/22.65 apply (zenon_L46_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.56/22.65 apply (zenon_L67_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.56/22.65 apply (zenon_L289_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.56/22.65 apply (zenon_L400_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.56/22.65 apply (zenon_L68_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.56/22.65 apply (zenon_L436_); trivial.
% 22.56/22.65 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.56/22.66 apply (zenon_L400_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.56/22.66 apply (zenon_L2367_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.56/22.66 exact (zenon_Hec zenon_H5c).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.56/22.66 apply (zenon_L1101_); trivial.
% 22.56/22.66 exact (zenon_H120 zenon_H11f).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.56/22.66 apply (zenon_L436_); trivial.
% 22.56/22.66 apply (zenon_L90_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.66 exact (zenon_H40 zenon_H3f).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.66 apply (zenon_L343_); trivial.
% 22.56/22.66 exact (zenon_Hec zenon_H5c).
% 22.56/22.66 (* end of lemma zenon_L2368_ *)
% 22.56/22.66 assert (zenon_L2369_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H13b zenon_Hec zenon_H77 zenon_H40 zenon_H48 zenon_Heb zenon_He3 zenon_H72 zenon_H68 zenon_Hf5 zenon_H38.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.56/22.66 apply (zenon_L60_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.56/22.66 exact (zenon_He3 zenon_He7).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.56/22.66 apply (zenon_L62_); trivial.
% 22.56/22.66 apply (zenon_L663_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2369_ *)
% 22.56/22.66 assert (zenon_L2370_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H13a zenon_H1e zenon_Hb6 zenon_H3d zenon_Ha0 zenon_H31 zenon_Ha9 zenon_Hf6.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.66 apply (zenon_L41_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.66 apply (zenon_L55_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.66 apply (zenon_L68_); trivial.
% 22.56/22.66 apply (zenon_L92_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2370_ *)
% 22.56/22.66 assert (zenon_L2371_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H240 zenon_H33 zenon_H9d zenon_H23d zenon_H1f zenon_H15d zenon_H9e zenon_Hb6 zenon_H105 zenon_H111 zenon_H48 zenon_H4c zenon_Ha0 zenon_H236.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.66 exact (zenon_H1f zenon_H1e).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.66 apply (zenon_L459_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.66 exact (zenon_H237 zenon_H31).
% 22.56/22.66 apply (zenon_L156_); trivial.
% 22.56/22.66 apply (zenon_L611_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2371_ *)
% 22.56/22.66 assert (zenon_L2372_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H9b zenon_H236 zenon_Ha0 zenon_H4c zenon_H48 zenon_H111 zenon_H105 zenon_Hb6 zenon_H15d zenon_H23d zenon_H33.
% 22.56/22.66 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 22.56/22.66 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 22.56/22.66 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.56/22.66 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.56/22.66 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.56/22.66 apply (zenon_L2371_); trivial.
% 22.56/22.66 apply (zenon_L2371_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2372_ *)
% 22.56/22.66 assert (zenon_L2373_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_Heb zenon_H7a zenon_H40 zenon_H1d4 zenon_H11f zenon_H20f.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.66 exact (zenon_H7a zenon_H3c).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.66 exact (zenon_H40 zenon_H3f).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.66 exact (zenon_H1d4 zenon_H4d).
% 22.56/22.66 apply (zenon_L412_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2373_ *)
% 22.56/22.66 assert (zenon_L2374_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H1bb zenon_H129 zenon_H115 zenon_H20f zenon_H1d4 zenon_H40 zenon_H7a zenon_Heb zenon_H1cb zenon_H160 zenon_H1c6 zenon_Hb6 zenon_H3d zenon_H159 zenon_Ha9 zenon_H6d zenon_H1b7.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 22.56/22.66 apply (zenon_L298_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 22.56/22.66 apply (zenon_L2373_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 22.56/22.66 apply (zenon_L236_); trivial.
% 22.56/22.66 apply (zenon_L1195_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2374_ *)
% 22.56/22.66 assert (zenon_L2375_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H82 zenon_H4c zenon_H7a zenon_H105 zenon_Ha9 zenon_H117 zenon_H195 zenon_H68 zenon_H48 zenon_H141 zenon_H13a zenon_H1e zenon_H7d zenon_H77 zenon_H6d zenon_H40 zenon_Hb6 zenon_He4 zenon_Ha0 zenon_H31 zenon_Ha5 zenon_Hf5.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.66 exact (zenon_H7a zenon_H3c).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.66 apply (zenon_L1609_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.66 apply (zenon_L41_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.66 apply (zenon_L1083_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.66 apply (zenon_L68_); trivial.
% 22.56/22.66 apply (zenon_L262_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2375_ *)
% 22.56/22.66 assert (zenon_L2376_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H117 zenon_H1cd zenon_H159 zenon_H3d zenon_H1c6 zenon_H1ef zenon_H72 zenon_H67 zenon_H1a2 zenon_Ha9 zenon_H6d zenon_Hb6 zenon_H105 zenon_Ha0 zenon_H115.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.56/22.66 apply (zenon_L1783_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.56/22.66 apply (zenon_L289_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.56/22.66 apply (zenon_L400_); trivial.
% 22.56/22.66 apply (zenon_L77_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2376_ *)
% 22.56/22.66 assert (zenon_L2377_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e3))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H141 zenon_H68 zenon_H195 zenon_Ha5 zenon_H117 zenon_H1cd zenon_H159 zenon_H3d zenon_H1c6 zenon_H1ef zenon_H72 zenon_H67 zenon_H1a2 zenon_Ha9 zenon_H6d zenon_Hb6 zenon_H105 zenon_Ha0.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.56/22.66 apply (zenon_L1394_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.56/22.66 apply (zenon_L54_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.56/22.66 apply (zenon_L1784_); trivial.
% 22.56/22.66 apply (zenon_L2376_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2377_ *)
% 22.56/22.66 assert (zenon_L2378_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((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)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H82 zenon_H4c zenon_H7a zenon_Ha0 zenon_H105 zenon_Hb6 zenon_H6d zenon_Ha9 zenon_H117 zenon_Ha5 zenon_H195 zenon_H68 zenon_H109 zenon_H141 zenon_H34 zenon_H48.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.66 exact (zenon_H7a zenon_H3c).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.66 apply (zenon_L1588_); trivial.
% 22.56/22.66 apply (zenon_L456_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2378_ *)
% 22.56/22.66 assert (zenon_L2379_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H82 zenon_H4c zenon_H7a zenon_H196 zenon_H117 zenon_Ha5 zenon_H195 zenon_H48 zenon_H141 zenon_H139 zenon_H6f zenon_Ha0 zenon_Ha9 zenon_He4 zenon_Hb6 zenon_H40 zenon_H6d zenon_H77 zenon_H7d zenon_H1e zenon_H13a zenon_H38 zenon_H68.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.66 exact (zenon_H7a zenon_H3c).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.66 apply (zenon_L1393_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.66 apply (zenon_L20_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.66 apply (zenon_L21_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.66 apply (zenon_L41_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.66 apply (zenon_L1083_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.66 apply (zenon_L193_); trivial.
% 22.56/22.66 apply (zenon_L156_); trivial.
% 22.56/22.66 apply (zenon_L165_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2379_ *)
% 22.56/22.66 assert (zenon_L2380_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H141 zenon_H68 zenon_H195 zenon_Ha5 zenon_Ha0 zenon_H6d zenon_Ha9 zenon_H1a2 zenon_H67 zenon_H105 zenon_H72 zenon_H1ef zenon_H1c6 zenon_Hb6 zenon_H3d zenon_H159 zenon_H1cd zenon_H117 zenon_H196 zenon_H38.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.56/22.66 apply (zenon_L1394_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.56/22.66 apply (zenon_L54_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.56/22.66 apply (zenon_L1784_); trivial.
% 22.56/22.66 apply (zenon_L1162_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2380_ *)
% 22.56/22.66 assert (zenon_L2381_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H125 zenon_H1d5 zenon_H66 zenon_H68 zenon_H25 zenon_H6d zenon_H55 zenon_H7e zenon_H77.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.56/22.66 apply (zenon_L252_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.56/22.66 apply (zenon_L171_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.56/22.66 apply (zenon_L34_); trivial.
% 22.56/22.66 apply (zenon_L71_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2381_ *)
% 22.56/22.66 assert (zenon_L2382_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H82 zenon_H4c zenon_H7a zenon_H7d zenon_Hac zenon_Hb6 zenon_Ha5 zenon_H5d zenon_H1a8 zenon_H3d zenon_H1b3 zenon_H68 zenon_H189 zenon_H1c3 zenon_H77 zenon_Ha0 zenon_H19a zenon_Ha9 zenon_Hb2 zenon_H11f zenon_H18a.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.66 exact (zenon_H7a zenon_H3c).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.56/22.66 apply (zenon_L928_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.56/22.66 apply (zenon_L42_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.56/22.66 apply (zenon_L151_); trivial.
% 22.56/22.66 apply (zenon_L44_); trivial.
% 22.56/22.66 apply (zenon_L140_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2382_ *)
% 22.56/22.66 assert (zenon_L2383_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H1bb zenon_H129 zenon_H115 zenon_H18a zenon_Hb2 zenon_Ha9 zenon_H19a zenon_Ha0 zenon_H77 zenon_H1c3 zenon_H189 zenon_H68 zenon_H1b3 zenon_H3d zenon_H1a8 zenon_H5d zenon_Ha5 zenon_Hb6 zenon_Hac zenon_H7d zenon_H7a zenon_H4c zenon_H82 zenon_H1cb zenon_H160 zenon_Hb1 zenon_H20f.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1bc ].
% 22.56/22.66 apply (zenon_L298_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H11f | zenon_intro zenon_H1bd ].
% 22.56/22.66 apply (zenon_L2382_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H17c | zenon_intro zenon_Hc3 ].
% 22.56/22.66 apply (zenon_L236_); trivial.
% 22.56/22.66 apply (zenon_L1203_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2383_ *)
% 22.56/22.66 assert (zenon_L2384_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (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 (e1) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H1cf zenon_Hfe zenon_H4e zenon_H76 zenon_H190 zenon_H6d zenon_H27e zenon_H20f zenon_Hb1 zenon_H1cb zenon_H82 zenon_H4c zenon_H7a zenon_H7d zenon_Hac zenon_Hb6 zenon_H5d zenon_H68 zenon_H1c3 zenon_Ha0 zenon_H19a zenon_Ha9 zenon_Hb2 zenon_H18a zenon_H129 zenon_H1bb zenon_H5c zenon_H1cd zenon_H189 zenon_H1b3 zenon_H3d zenon_H77 zenon_H1a8 zenon_Ha5 zenon_H195.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.56/22.66 apply (zenon_L193_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.56/22.66 apply (zenon_L83_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.56/22.66 apply (zenon_L366_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H115 | zenon_intro zenon_H27f ].
% 22.56/22.66 apply (zenon_L2383_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H128 | zenon_intro zenon_H280 ].
% 22.56/22.66 apply (zenon_L149_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H93 | zenon_intro zenon_Hb9 ].
% 22.56/22.66 apply (zenon_L1115_); trivial.
% 22.56/22.66 apply (zenon_L172_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2384_ *)
% 22.56/22.66 assert (zenon_L2385_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_Heb zenon_H40 zenon_H105 zenon_H131 zenon_H1cf zenon_Hfe zenon_H4e zenon_H76 zenon_H190 zenon_H6d zenon_H27e zenon_H20f zenon_Hb1 zenon_H1cb zenon_H82 zenon_H4c zenon_H7a zenon_H7d zenon_Hac zenon_Hb6 zenon_H5d zenon_H68 zenon_H1c3 zenon_Ha0 zenon_H19a zenon_Ha9 zenon_Hb2 zenon_H18a zenon_H129 zenon_H1bb zenon_H1cd zenon_H189 zenon_H1b3 zenon_H3d zenon_H77 zenon_H1a8 zenon_Ha5 zenon_H195.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.66 exact (zenon_H7a zenon_H3c).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.66 exact (zenon_H40 zenon_H3f).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.66 apply (zenon_L128_); trivial.
% 22.56/22.66 apply (zenon_L2384_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2385_ *)
% 22.56/22.66 assert (zenon_L2386_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H1fe zenon_H31 zenon_He4 zenon_H7d zenon_H13a zenon_Hf5 zenon_H131 zenon_H40 zenon_Heb zenon_H111 zenon_H139 zenon_H1d5 zenon_H125 zenon_H1cd zenon_H159 zenon_H1c6 zenon_H1ef zenon_H1a2 zenon_H1b3 zenon_Hfa zenon_H55 zenon_H77 zenon_H15d zenon_H82 zenon_H4c zenon_H7a zenon_Ha0 zenon_H105 zenon_Hb6 zenon_H6d zenon_Ha9 zenon_H117 zenon_Ha5 zenon_H195 zenon_H68 zenon_H109 zenon_H141 zenon_H48.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.66 apply (zenon_L2375_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.66 exact (zenon_H7a zenon_H3c).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.66 apply (zenon_L1609_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.56/22.66 apply (zenon_L171_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.56/22.66 exact (zenon_H1b3 zenon_Hef).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.56/22.66 apply (zenon_L2377_); trivial.
% 22.56/22.66 apply (zenon_L299_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.66 apply (zenon_L214_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.66 apply (zenon_L2381_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.56/22.66 apply (zenon_L171_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.56/22.66 exact (zenon_H1b3 zenon_Hef).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.56/22.66 apply (zenon_L2377_); trivial.
% 22.56/22.66 apply (zenon_L63_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.56/22.66 apply (zenon_L171_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.56/22.66 apply (zenon_L34_); trivial.
% 22.56/22.66 apply (zenon_L71_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.66 apply (zenon_L148_); trivial.
% 22.56/22.66 apply (zenon_L2360_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.66 apply (zenon_L1394_); trivial.
% 22.56/22.66 apply (zenon_L2378_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2386_ *)
% 22.56/22.66 assert (zenon_L2387_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H82 zenon_H4c zenon_H7a zenon_H38 zenon_H196 zenon_H117 zenon_Hb6 zenon_Ha9 zenon_H6d zenon_Ha0 zenon_Ha5 zenon_H195 zenon_H68 zenon_H141 zenon_H34 zenon_H48.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.66 exact (zenon_H7a zenon_H3c).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.66 apply (zenon_L1393_); trivial.
% 22.56/22.66 apply (zenon_L456_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2387_ *)
% 22.56/22.66 assert (zenon_L2388_ : ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e3)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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 (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H44 zenon_H11a zenon_H15d zenon_H111 zenon_Hb2 zenon_H7d zenon_Hb1 zenon_Hb6 zenon_Ha5 zenon_H5d zenon_Ha0 zenon_H125 zenon_H55 zenon_H1cf zenon_H1bb zenon_H1b7 zenon_H1c6 zenon_H1cb zenon_H20f zenon_H129 zenon_H195 zenon_H139 zenon_H196 zenon_H177 zenon_H77 zenon_H94 zenon_H27e zenon_H6d zenon_H190 zenon_H4e zenon_Ha9 zenon_Hf5 zenon_H13a zenon_H68 zenon_H82 zenon_H4c zenon_H15c zenon_Hf0 zenon_H158 zenon_H48 zenon_Hac zenon_H13b zenon_H173 zenon_H179 zenon_H1fe zenon_H109 zenon_H1a2 zenon_H1cd zenon_H1ef zenon_Hfa zenon_H141 zenon_H117 zenon_He4 zenon_H1d5 zenon_H6f zenon_H236 zenon_H40 zenon_H131 zenon_H105 zenon_Heb zenon_H18a zenon_H1a8 zenon_H1c3 zenon_H189 zenon_H19a zenon_H169.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.56/22.66 apply (zenon_L2357_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.66 exact (zenon_H7a zenon_H3c).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.66 apply (zenon_L2078_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.56/22.66 apply (zenon_L20_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.66 apply (zenon_L41_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.66 apply (zenon_L55_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.56/22.66 apply (zenon_L41_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.56/22.66 apply (zenon_L42_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.66 exact (zenon_H7a zenon_H3c).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.66 exact (zenon_H40 zenon_H3f).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.66 exact (zenon_H1d4 zenon_H4d).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.56/22.66 apply (zenon_L193_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.56/22.66 apply (zenon_L83_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.56/22.66 apply (zenon_L366_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H115 | zenon_intro zenon_H27f ].
% 22.56/22.66 apply (zenon_L2374_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H128 | zenon_intro zenon_H280 ].
% 22.56/22.66 apply (zenon_L149_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H93 | zenon_intro zenon_Hb9 ].
% 22.56/22.66 apply (zenon_L215_); trivial.
% 22.56/22.66 apply (zenon_L47_); trivial.
% 22.56/22.66 apply (zenon_L221_); trivial.
% 22.56/22.66 apply (zenon_L262_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.56/22.66 apply (zenon_L34_); trivial.
% 22.56/22.66 apply (zenon_L71_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.66 apply (zenon_L148_); trivial.
% 22.56/22.66 apply (zenon_L461_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.66 apply (zenon_L464_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.66 apply (zenon_L2375_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.66 exact (zenon_H7a zenon_H3c).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.66 apply (zenon_L1609_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.66 exact (zenon_H7a zenon_H3c).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.66 exact (zenon_H40 zenon_H3f).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.66 exact (zenon_H1d4 zenon_H4d).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.56/22.66 apply (zenon_L171_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.56/22.66 apply (zenon_L61_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.56/22.66 apply (zenon_L2377_); trivial.
% 22.56/22.66 apply (zenon_L206_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.56/22.66 apply (zenon_L171_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.56/22.66 apply (zenon_L34_); trivial.
% 22.56/22.66 apply (zenon_L71_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.66 apply (zenon_L239_); trivial.
% 22.56/22.66 apply (zenon_L2360_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.66 apply (zenon_L1394_); trivial.
% 22.56/22.66 apply (zenon_L2378_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.66 apply (zenon_L2379_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.66 exact (zenon_H7a zenon_H3c).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.66 apply (zenon_L1393_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.56/22.66 apply (zenon_L171_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.56/22.66 apply (zenon_L61_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.56/22.66 apply (zenon_L2380_); trivial.
% 22.56/22.66 apply (zenon_L299_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.66 apply (zenon_L214_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.66 apply (zenon_L2381_); trivial.
% 22.56/22.66 apply (zenon_L165_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.66 apply (zenon_L148_); trivial.
% 22.56/22.66 apply (zenon_L461_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.66 apply (zenon_L1394_); trivial.
% 22.56/22.66 apply (zenon_L2378_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.56/22.66 apply (zenon_L2357_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.66 exact (zenon_H7a zenon_H3c).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.66 apply (zenon_L2078_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.56/22.66 apply (zenon_L20_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.66 apply (zenon_L41_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.66 apply (zenon_L55_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.66 apply (zenon_L2385_); trivial.
% 22.56/22.66 apply (zenon_L262_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.56/22.66 apply (zenon_L34_); trivial.
% 22.56/22.66 apply (zenon_L71_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.66 apply (zenon_L148_); trivial.
% 22.56/22.66 apply (zenon_L2360_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.66 apply (zenon_L304_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.66 apply (zenon_L2386_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.66 apply (zenon_L2379_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.66 exact (zenon_H4c zenon_H47).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.66 exact (zenon_H7a zenon_H3c).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.66 apply (zenon_L1393_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.56/22.66 apply (zenon_L171_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.56/22.66 exact (zenon_H1b3 zenon_Hef).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.56/22.66 apply (zenon_L2380_); trivial.
% 22.56/22.66 apply (zenon_L299_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.66 apply (zenon_L214_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.66 apply (zenon_L2381_); trivial.
% 22.56/22.66 apply (zenon_L165_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.66 apply (zenon_L148_); trivial.
% 22.56/22.66 apply (zenon_L246_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.66 apply (zenon_L1394_); trivial.
% 22.56/22.66 apply (zenon_L2387_); trivial.
% 22.56/22.66 apply (zenon_L385_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2388_ *)
% 22.56/22.66 assert (zenon_L2389_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H36 zenon_H4c zenon_H12e zenon_H105 zenon_H104 zenon_H192 zenon_H48 zenon_H111 zenon_H15d zenon_Hac.
% 22.56/22.66 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.56/22.66 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.56/22.66 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.56/22.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.56/22.66 exact (zenon_H1c7 zenon_Hac).
% 22.56/22.66 apply (zenon_L2350_); trivial.
% 22.56/22.66 (* end of lemma zenon_L2389_ *)
% 22.56/22.66 assert (zenon_L2390_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e2) (e1)) = (e2)) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((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) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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 (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (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 (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (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) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 22.56/22.66 do 0 intro. intros zenon_H240 zenon_H3c zenon_H195 zenon_Hac zenon_H6d zenon_H3a zenon_H23d zenon_H4c zenon_H236 zenon_H3d zenon_H48 zenon_H1f zenon_H264 zenon_Hcc zenon_H5d zenon_H13c zenon_H186 zenon_H1a8 zenon_H189 zenon_H82 zenon_H4e zenon_Hb2 zenon_H100 zenon_H109 zenon_H22d zenon_H94 zenon_H156 zenon_He4 zenon_H1cb zenon_H55 zenon_H164 zenon_H125 zenon_H139 zenon_Hb6 zenon_Ha0 zenon_H1c6 zenon_Ha9 zenon_H11a zenon_H177 zenon_H121 zenon_H117 zenon_H196 zenon_Hfa zenon_H73 zenon_H68 zenon_H1ef zenon_H1a2 zenon_H13b zenon_H13a zenon_H6f zenon_H192 zenon_H111 zenon_Hf5 zenon_H15d zenon_H19d zenon_H1cf zenon_H1c3 zenon_H20f zenon_H1bb zenon_H212 zenon_Hbc zenon_H7d zenon_H18a zenon_H19a zenon_H190 zenon_H20b zenon_H129 zenon_H163 zenon_H1b4 zenon_H183 zenon_H140 zenon_H179 zenon_H104 zenon_H1fe zenon_H77 zenon_H1fb zenon_H1d8 zenon_H173 zenon_Hf0 zenon_H158 zenon_H131 zenon_Heb zenon_H230 zenon_H105 zenon_H234 zenon_H290 zenon_H23b.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.56/22.66 apply (zenon_L2353_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.66 exact (zenon_H1f zenon_H1e).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.66 apply (zenon_L318_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.66 exact (zenon_H1f zenon_H1e).
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.66 apply (zenon_L25_); trivial.
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.66 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.66 exact (zenon_H6c zenon_H67).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.67 apply (zenon_L21_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.67 apply (zenon_L264_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.56/22.67 apply (zenon_L24_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.56/22.67 apply (zenon_L61_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.56/22.67 apply (zenon_L46_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.56/22.67 apply (zenon_L79_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.56/22.67 apply (zenon_L436_); trivial.
% 22.56/22.67 apply (zenon_L1394_); trivial.
% 22.56/22.67 apply (zenon_L63_); trivial.
% 22.56/22.67 apply (zenon_L1847_); trivial.
% 22.56/22.67 exact (zenon_H238 zenon_H38).
% 22.56/22.67 apply (zenon_L1861_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2390_ *)
% 22.56/22.67 assert (zenon_L2391_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H125 zenon_H1d5 zenon_H66 zenon_H68 zenon_H94 zenon_H93 zenon_Hb2 zenon_Ha4 zenon_Ha0 zenon_H25 zenon_H1ef zenon_H110 zenon_Ha9.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.56/22.67 apply (zenon_L252_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.56/22.67 apply (zenon_L171_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.56/22.67 apply (zenon_L38_); trivial.
% 22.56/22.67 apply (zenon_L597_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2391_ *)
% 22.56/22.67 assert (zenon_L2392_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H139 zenon_H77 zenon_H47 zenon_H2a zenon_Ha9 zenon_H110 zenon_H1ef zenon_H25 zenon_Ha0 zenon_Ha4 zenon_Hb2 zenon_H94 zenon_H68 zenon_H1d5 zenon_H125 zenon_H93 zenon_H196.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.67 apply (zenon_L251_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.67 apply (zenon_L147_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.67 apply (zenon_L2391_); trivial.
% 22.56/22.67 apply (zenon_L167_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2392_ *)
% 22.56/22.67 assert (zenon_L2393_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H13c zenon_H179 zenon_H9d zenon_H159 zenon_H131 zenon_H110 zenon_H9e zenon_Hf5.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.56/22.67 apply (zenon_L123_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.56/22.67 exact (zenon_H159 zenon_H10c).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.56/22.67 apply (zenon_L259_); trivial.
% 22.56/22.67 apply (zenon_L262_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2393_ *)
% 22.56/22.67 assert (zenon_L2394_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H13a zenon_H2a zenon_Hb6 zenon_H153 zenon_Hb2 zenon_Ha4 zenon_Ha0 zenon_H25 zenon_H1ef zenon_H13c zenon_H179 zenon_H159 zenon_H131 zenon_H110 zenon_Hf5.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.67 apply (zenon_L53_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.67 apply (zenon_L95_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.56/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.56/22.67 apply (zenon_L116_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.56/22.67 apply (zenon_L282_); trivial.
% 22.56/22.67 apply (zenon_L2393_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2394_ *)
% 22.56/22.67 assert (zenon_L2395_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H92 zenon_H110 zenon_H93.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.56/22.67 exact (zenon_H16b zenon_H93).
% 22.56/22.67 exact (zenon_H191 zenon_H110).
% 22.56/22.67 (* end of lemma zenon_L2395_ *)
% 22.56/22.67 assert (zenon_L2396_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H2f zenon_H110 zenon_H93.
% 22.56/22.67 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.56/22.67 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 22.56/22.67 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.56/22.67 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.56/22.67 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.56/22.67 apply (zenon_L2395_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2396_ *)
% 22.56/22.67 assert (zenon_L2397_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H36 zenon_H48 zenon_H18d zenon_H1b7 zenon_H77 zenon_H1b4 zenon_H20f zenon_H129 zenon_H93 zenon_Hc4 zenon_H1bb zenon_H1cb zenon_H231 zenon_H110 zenon_H104 zenon_H18a zenon_H24e zenon_H1cd zenon_H7d zenon_H12e zenon_Hbc.
% 22.56/22.67 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.56/22.67 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.56/22.67 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.56/22.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.56/22.67 apply (zenon_L1514_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2397_ *)
% 22.56/22.67 assert (zenon_L2398_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e3))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H236 zenon_H1f zenon_H48 zenon_H237 zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H3d zenon_H111 zenon_H110 zenon_Ha0.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.67 exact (zenon_H1f zenon_H1e).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.67 apply (zenon_L65_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.67 exact (zenon_H237 zenon_H31).
% 22.56/22.67 apply (zenon_L1842_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2398_ *)
% 22.56/22.67 assert (zenon_L2399_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H204 zenon_H23d zenon_H236 zenon_Ha4 zenon_Hb6 zenon_H111 zenon_H110 zenon_Ha0 zenon_H13a zenon_H3d zenon_H48 zenon_H1f zenon_Ha9 zenon_H77 zenon_H68 zenon_H196 zenon_H93 zenon_H139 zenon_H240.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.56/22.67 apply (zenon_L2398_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.67 exact (zenon_H1f zenon_H1e).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.67 exact (zenon_H205 zenon_H2a).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.67 exact (zenon_H6c zenon_H67).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.67 apply (zenon_L214_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.67 apply (zenon_L264_); trivial.
% 22.56/22.67 apply (zenon_L167_); trivial.
% 22.56/22.67 apply (zenon_L1857_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.56/22.67 apply (zenon_L2398_); trivial.
% 22.56/22.67 apply (zenon_L1861_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2399_ *)
% 22.56/22.67 assert (zenon_L2400_ : ((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H1d zenon_H240 zenon_H139 zenon_H93 zenon_H196 zenon_H68 zenon_H77 zenon_Ha9 zenon_H48 zenon_H3d zenon_H13a zenon_Ha0 zenon_H110 zenon_H111 zenon_Hb6 zenon_Ha4 zenon_H236 zenon_H23d zenon_H204.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.56/22.67 apply (zenon_L2399_); trivial.
% 22.56/22.67 apply (zenon_L2399_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2400_ *)
% 22.56/22.67 assert (zenon_L2401_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H5a zenon_H110 zenon_H93.
% 22.56/22.67 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 22.56/22.67 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 22.56/22.67 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.56/22.67 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.56/22.67 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.56/22.67 apply (zenon_L2395_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2401_ *)
% 22.56/22.67 assert (zenon_L2402_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (((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) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H140 zenon_H162 zenon_H177 zenon_H26d zenon_H1b7 zenon_H179 zenon_H164 zenon_H25 zenon_H4e zenon_H110 zenon_H19a zenon_Ha0 zenon_H9e zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H1cb.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.56/22.67 apply (zenon_L2168_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.56/22.67 apply (zenon_L274_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.56/22.67 apply (zenon_L278_); trivial.
% 22.56/22.67 apply (zenon_L267_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2402_ *)
% 22.56/22.67 assert (zenon_L2403_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (((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) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_H2a zenon_Hb6 zenon_H153 zenon_H140 zenon_H162 zenon_H177 zenon_H26d zenon_H1b7 zenon_H179 zenon_H164 zenon_H25 zenon_H4e zenon_H110 zenon_H19a zenon_Ha0 zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H1cb.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.67 apply (zenon_L53_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.67 apply (zenon_L95_); trivial.
% 22.56/22.67 apply (zenon_L2402_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2403_ *)
% 22.56/22.67 assert (zenon_L2404_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H153 zenon_H164 zenon_H2d zenon_H109 zenon_H2a zenon_H192 zenon_H1cb zenon_H68 zenon_H93 zenon_H48 zenon_H5c zenon_Ha0 zenon_H19a zenon_H162.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.67 apply (zenon_L53_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.67 apply (zenon_L95_); trivial.
% 22.56/22.67 apply (zenon_L2164_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2404_ *)
% 22.56/22.67 assert (zenon_L2405_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H1fe zenon_H140 zenon_H177 zenon_H26d zenon_H179 zenon_H4e zenon_Hf5 zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H164 zenon_H109 zenon_H2a zenon_H192 zenon_H1cb zenon_Ha0 zenon_H162 zenon_H139 zenon_H195 zenon_H266 zenon_H55 zenon_H6f zenon_H110 zenon_H190 zenon_H1f1 zenon_H13f zenon_Ha9 zenon_H196 zenon_H15d zenon_H19a zenon_H1b7 zenon_H7f zenon_H77 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_H18a.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.67 apply (zenon_L2161_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.67 apply (zenon_L251_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.67 apply (zenon_L147_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.67 apply (zenon_L53_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.67 apply (zenon_L193_); trivial.
% 22.56/22.67 apply (zenon_L2402_); trivial.
% 22.56/22.67 apply (zenon_L167_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.67 apply (zenon_L146_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.67 apply (zenon_L2403_); trivial.
% 22.56/22.67 apply (zenon_L192_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.67 apply (zenon_L251_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.67 apply (zenon_L2131_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.67 apply (zenon_L2165_); trivial.
% 22.56/22.67 apply (zenon_L167_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.67 apply (zenon_L65_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.67 apply (zenon_L2404_); trivial.
% 22.56/22.67 apply (zenon_L192_); trivial.
% 22.56/22.67 apply (zenon_L1343_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2405_ *)
% 22.56/22.67 assert (zenon_L2406_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_Hc8 zenon_H109 zenon_H179 zenon_H26d zenon_H68 zenon_H1fe zenon_H18d zenon_H1b7 zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H1bb zenon_H18a zenon_H19a zenon_H139 zenon_H93 zenon_H196 zenon_H1f1 zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H195 zenon_H13f zenon_H77 zenon_Ha0 zenon_H1ef zenon_H110 zenon_Hb2 zenon_Hf5 zenon_H5c zenon_H15d zenon_Hfa zenon_H173 zenon_H4e zenon_H13a zenon_H234 zenon_H141 zenon_H2c zenon_H164 zenon_H7d zenon_Hbc zenon_H212 zenon_H1cb zenon_H33 zenon_He4 zenon_H177 zenon_H1cf zenon_H140 zenon_Hb6 zenon_Ha9 zenon_Ha4 zenon_H7f zenon_H192 zenon_H48 zenon_Hf0 zenon_H189 zenon_H1a8 zenon_H61 zenon_H236.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.56/22.67 apply (zenon_L2140_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.67 apply (zenon_L2161_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.67 apply (zenon_L2405_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.67 apply (zenon_L2170_); trivial.
% 22.56/22.67 apply (zenon_L1717_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2406_ *)
% 22.56/22.67 assert (zenon_L2407_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Ha9 zenon_H6e zenon_H111 zenon_H110 zenon_Hb6 zenon_H155.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.67 apply (zenon_L110_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.67 apply (zenon_L75_); trivial.
% 22.56/22.67 apply (zenon_L115_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2407_ *)
% 22.56/22.67 assert (zenon_L2408_ : (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((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 (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H77 zenon_Hb2 zenon_Hf5 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H19a zenon_Ha0 zenon_H48 zenon_H1cb zenon_H1b7 zenon_H33 zenon_H164 zenon_H141 zenon_H2c zenon_H234 zenon_He4 zenon_H15d zenon_H73 zenon_H18d zenon_H120 zenon_Heb zenon_H1ef zenon_H209 zenon_H139 zenon_H68 zenon_H1e zenon_Hb6 zenon_H110 zenon_H111 zenon_Ha9 zenon_Ha4 zenon_H13a zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.67 apply (zenon_L13_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.67 apply (zenon_L215_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.67 apply (zenon_L20_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.67 apply (zenon_L110_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.67 apply (zenon_L75_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.56/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.67 apply (zenon_L46_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.67 apply (zenon_L540_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.67 apply (zenon_L184_); trivial.
% 22.56/22.67 apply (zenon_L2133_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.56/22.67 apply (zenon_L282_); trivial.
% 22.56/22.67 exact (zenon_H209 zenon_H9d).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.67 apply (zenon_L94_); trivial.
% 22.56/22.67 apply (zenon_L167_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.67 apply (zenon_L20_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.67 apply (zenon_L2407_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.67 apply (zenon_L122_); trivial.
% 22.56/22.67 apply (zenon_L167_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2408_ *)
% 22.56/22.67 assert (zenon_L2409_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_Hb2 zenon_Ha4 zenon_Hb6 zenon_H3c zenon_H1ef zenon_H110 zenon_H209.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.56/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.56/22.67 apply (zenon_L46_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.56/22.67 apply (zenon_L282_); trivial.
% 22.56/22.67 exact (zenon_H209 zenon_H9d).
% 22.56/22.67 (* end of lemma zenon_L2409_ *)
% 22.56/22.67 assert (zenon_L2410_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Ha9 zenon_H6e zenon_Ha0 zenon_H31 zenon_Hb6 zenon_H155.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.67 apply (zenon_L110_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.67 apply (zenon_L68_); trivial.
% 22.56/22.67 apply (zenon_L115_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2410_ *)
% 22.56/22.67 assert (zenon_L2411_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H15d zenon_H177 zenon_H160 zenon_H77 zenon_H48 zenon_H139 zenon_H1e zenon_Hb6 zenon_Ha0 zenon_Ha9 zenon_Ha4 zenon_H13a zenon_H68 zenon_H31 zenon_H93 zenon_H196.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.67 apply (zenon_L13_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.67 apply (zenon_L215_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.67 apply (zenon_L239_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.67 apply (zenon_L20_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.67 apply (zenon_L2410_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.67 apply (zenon_L264_); trivial.
% 22.56/22.67 apply (zenon_L167_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2411_ *)
% 22.56/22.67 assert (zenon_L2412_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (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 (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H139 zenon_H47 zenon_H77 zenon_H266 zenon_H2d zenon_H55 zenon_H6f zenon_H110 zenon_H190 zenon_H5c zenon_H186 zenon_H31 zenon_H48 zenon_H201 zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.67 apply (zenon_L251_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.67 apply (zenon_L2180_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.67 apply (zenon_L122_); trivial.
% 22.56/22.67 apply (zenon_L167_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2412_ *)
% 22.56/22.67 assert (zenon_L2413_ : (~((op (e3) (e0)) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (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 (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H209 zenon_H110 zenon_H1ef zenon_Heb zenon_Hf0 zenon_H13f zenon_H120 zenon_Hb6 zenon_H18d zenon_H139 zenon_H47 zenon_H77 zenon_H266 zenon_H2d zenon_H55 zenon_H6f zenon_H190 zenon_H186 zenon_H31 zenon_H48 zenon_H201 zenon_Ha4 zenon_Hb2 zenon_H111 zenon_Ha9 zenon_H13a zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.67 apply (zenon_L251_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.67 apply (zenon_L110_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.67 apply (zenon_L75_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.56/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.67 apply (zenon_L46_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.56/22.67 apply (zenon_L217_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.56/22.67 apply (zenon_L118_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.56/22.67 apply (zenon_L2130_); trivial.
% 22.56/22.67 apply (zenon_L218_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.67 apply (zenon_L302_); trivial.
% 22.56/22.67 apply (zenon_L2412_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.56/22.67 apply (zenon_L282_); trivial.
% 22.56/22.67 exact (zenon_H209 zenon_H9d).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.67 apply (zenon_L122_); trivial.
% 22.56/22.67 apply (zenon_L167_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2413_ *)
% 22.56/22.67 assert (zenon_L2414_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H139 zenon_H77 zenon_H47 zenon_H155 zenon_Hb6 zenon_H31 zenon_Ha0 zenon_Ha9 zenon_Ha4 zenon_H13a zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.67 apply (zenon_L251_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.67 apply (zenon_L2410_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.67 apply (zenon_L122_); trivial.
% 22.56/22.67 apply (zenon_L167_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2414_ *)
% 22.56/22.67 assert (zenon_L2415_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((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 (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((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) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H236 zenon_H19a zenon_H1cb zenon_H192 zenon_Hf5 zenon_H1b7 zenon_H33 zenon_H141 zenon_H2c zenon_H234 zenon_He4 zenon_H73 zenon_H160 zenon_H209 zenon_Hbc zenon_H7d zenon_H18a zenon_H212 zenon_H12e zenon_H15d zenon_H68 zenon_Heb zenon_Hf0 zenon_H13f zenon_H266 zenon_H55 zenon_H6f zenon_H190 zenon_H186 zenon_H201 zenon_H82 zenon_H1ef zenon_Hb2 zenon_H139 zenon_H121 zenon_Ha0 zenon_H1a3 zenon_H164 zenon_Hb6 zenon_H110 zenon_H111 zenon_Ha9 zenon_Ha4 zenon_H13a zenon_H177 zenon_H196 zenon_H1fe zenon_H18d zenon_H48 zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H93 zenon_H77 zenon_H120.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.56/22.67 apply (zenon_L2408_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.67 apply (zenon_L2408_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.67 apply (zenon_L2129_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.67 apply (zenon_L352_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.67 apply (zenon_L65_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.67 apply (zenon_L352_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.67 apply (zenon_L2409_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.67 apply (zenon_L217_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.67 apply (zenon_L53_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.67 apply (zenon_L95_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.56/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.56/22.67 apply (zenon_L46_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.56/22.67 apply (zenon_L219_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.56/22.67 apply (zenon_L302_); trivial.
% 22.56/22.67 apply (zenon_L2152_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.56/22.67 apply (zenon_L282_); trivial.
% 22.56/22.67 exact (zenon_H209 zenon_H9d).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.67 apply (zenon_L147_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.67 apply (zenon_L94_); trivial.
% 22.56/22.67 apply (zenon_L167_); trivial.
% 22.56/22.67 apply (zenon_L596_); trivial.
% 22.56/22.67 apply (zenon_L528_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.56/22.67 apply (zenon_L2411_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.56/22.67 apply (zenon_L2129_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.56/22.67 apply (zenon_L2413_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.67 apply (zenon_L2413_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.67 apply (zenon_L2409_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.67 apply (zenon_L217_); trivial.
% 22.56/22.67 apply (zenon_L1931_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.56/22.67 apply (zenon_L239_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.56/22.67 apply (zenon_L2414_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.56/22.67 apply (zenon_L2409_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.56/22.67 apply (zenon_L217_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.67 apply (zenon_L548_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.56/22.67 apply (zenon_L2407_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.56/22.67 apply (zenon_L122_); trivial.
% 22.56/22.67 apply (zenon_L167_); trivial.
% 22.56/22.67 apply (zenon_L528_); trivial.
% 22.56/22.67 apply (zenon_L555_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2415_ *)
% 22.56/22.67 assert (zenon_L2416_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H19a zenon_Ha0 zenon_H9e zenon_Hc4 zenon_H181 zenon_H120 zenon_H20f zenon_H1bb zenon_H93 zenon_H68 zenon_H34 zenon_H18a.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.56/22.67 apply (zenon_L156_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.56/22.67 apply (zenon_L422_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.56/22.67 apply (zenon_L158_); trivial.
% 22.56/22.67 apply (zenon_L416_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2416_ *)
% 22.56/22.67 assert (zenon_L2417_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H3d zenon_H111 zenon_H110 zenon_H19a zenon_Ha0 zenon_Hc4 zenon_H181 zenon_H120 zenon_H20f zenon_H1bb zenon_H93 zenon_H68 zenon_H34 zenon_H18a.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.67 apply (zenon_L55_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.56/22.67 apply (zenon_L75_); trivial.
% 22.56/22.67 apply (zenon_L2416_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2417_ *)
% 22.56/22.67 assert (zenon_L2418_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H19a zenon_H48 zenon_H155 zenon_Hc4 zenon_H181 zenon_H120 zenon_H20f zenon_H1bb zenon_H93 zenon_H68 zenon_H34 zenon_H18a.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.56/22.67 apply (zenon_L246_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.56/22.67 apply (zenon_L422_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.56/22.67 apply (zenon_L158_); trivial.
% 22.56/22.67 apply (zenon_L416_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2418_ *)
% 22.56/22.67 assert (zenon_L2419_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H1a8 zenon_Ha9 zenon_Hdb zenon_H7e zenon_H67 zenon_H177 zenon_H31 zenon_H19a zenon_H77 zenon_H1b4 zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H181 zenon_H120 zenon_H20f zenon_H1bb zenon_H93 zenon_H68 zenon_H164 zenon_H189 zenon_H99 zenon_H160 zenon_H1cd.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.56/22.67 apply (zenon_L110_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.56/22.67 apply (zenon_L864_); trivial.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.56/22.67 apply (zenon_L458_); trivial.
% 22.56/22.67 apply (zenon_L240_); trivial.
% 22.56/22.67 (* end of lemma zenon_L2419_ *)
% 22.56/22.67 assert (zenon_L2420_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.56/22.67 do 0 intro. intros zenon_H139 zenon_H110 zenon_H111 zenon_H1a8 zenon_H7e zenon_H19a zenon_H77 zenon_H1b4 zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H181 zenon_H120 zenon_H20f zenon_H1bb zenon_H68 zenon_H164 zenon_H189 zenon_H99 zenon_H1cd zenon_H155 zenon_Hb6 zenon_H31 zenon_Ha0 zenon_Ha9 zenon_Ha4 zenon_H13a zenon_H160 zenon_H177 zenon_H93 zenon_H196.
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.56/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.56/22.67 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.56/22.67 apply (zenon_L2419_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.67 apply (zenon_L75_); trivial.
% 22.64/22.67 apply (zenon_L115_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.67 apply (zenon_L2410_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.67 apply (zenon_L122_); trivial.
% 22.64/22.67 apply (zenon_L167_); trivial.
% 22.64/22.67 (* end of lemma zenon_L2420_ *)
% 22.64/22.67 assert (zenon_L2421_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H1c6 zenon_Ha9 zenon_H6e zenon_H159 zenon_H190 zenon_H110 zenon_H1c7.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.67 apply (zenon_L110_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.67 exact (zenon_H159 zenon_H10c).
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.67 apply (zenon_L163_); trivial.
% 22.64/22.67 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.67 (* end of lemma zenon_L2421_ *)
% 22.64/22.67 assert (zenon_L2422_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H13c zenon_H179 zenon_H9d zenon_H159 zenon_H131 zenon_H110 zenon_H19a zenon_H48 zenon_H155 zenon_Ha0 zenon_H93 zenon_H68 zenon_H162.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.67 apply (zenon_L123_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.67 exact (zenon_H159 zenon_H10c).
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.67 apply (zenon_L259_); trivial.
% 22.64/22.67 apply (zenon_L247_); trivial.
% 22.64/22.67 (* end of lemma zenon_L2422_ *)
% 22.64/22.67 assert (zenon_L2423_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H121 zenon_H162 zenon_H68 zenon_H93 zenon_Ha0 zenon_H155 zenon_H48 zenon_H19a zenon_H131 zenon_H159 zenon_H179 zenon_H13c zenon_H1c7 zenon_H104 zenon_H110 zenon_Hc4.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H9d | zenon_intro zenon_H122 ].
% 22.64/22.67 apply (zenon_L2422_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hac | zenon_intro zenon_H123 ].
% 22.64/22.67 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc3 ].
% 22.64/22.67 apply (zenon_L129_); trivial.
% 22.64/22.67 exact (zenon_Hc4 zenon_Hc3).
% 22.64/22.67 (* end of lemma zenon_L2423_ *)
% 22.64/22.67 assert (zenon_L2424_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H139 zenon_Ha0 zenon_H110 zenon_H111 zenon_Ha9 zenon_H47 zenon_Hb6 zenon_H13a zenon_H153 zenon_H77 zenon_H38 zenon_H68.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.67 apply (zenon_L251_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.67 apply (zenon_L2017_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.67 apply (zenon_L94_); trivial.
% 22.64/22.67 apply (zenon_L165_); trivial.
% 22.64/22.67 (* end of lemma zenon_L2424_ *)
% 22.64/22.67 assert (zenon_L2425_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e2) (e2)) = (e3)) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H1bb zenon_H129 zenon_H5c zenon_H20f zenon_H38 zenon_H1b4 zenon_H283 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H77 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H110.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H191 | zenon_intro zenon_H93 ].
% 22.64/22.67 exact (zenon_H191 zenon_H110).
% 22.64/22.67 apply (zenon_L1236_); trivial.
% 22.64/22.67 (* end of lemma zenon_L2425_ *)
% 22.64/22.67 assert (zenon_L2426_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H177 zenon_Hb6 zenon_H110 zenon_H1ef zenon_H25 zenon_Ha0 zenon_H121 zenon_H33 zenon_H1c7 zenon_H104 zenon_Hc4 zenon_Hb2 zenon_H100 zenon_H160 zenon_H26a zenon_H93 zenon_H159 zenon_H179 zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H13c zenon_H139 zenon_H77 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H111 zenon_H82 zenon_H38 zenon_H48.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.67 apply (zenon_L2018_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.67 apply (zenon_L1300_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.67 apply (zenon_L2424_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.67 apply (zenon_L25_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.67 apply (zenon_L819_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.67 apply (zenon_L116_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.67 apply (zenon_L282_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.67 apply (zenon_L69_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.67 apply (zenon_L123_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.67 exact (zenon_H159 zenon_H10c).
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.64/22.67 apply (zenon_L246_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.64/22.67 apply (zenon_L2425_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.64/22.67 apply (zenon_L218_); trivial.
% 22.64/22.67 apply (zenon_L1699_); trivial.
% 22.64/22.67 apply (zenon_L525_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.67 apply (zenon_L184_); trivial.
% 22.64/22.67 apply (zenon_L2425_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.67 apply (zenon_L819_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.67 apply (zenon_L116_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.67 apply (zenon_L282_); trivial.
% 22.64/22.67 apply (zenon_L134_); trivial.
% 22.64/22.67 apply (zenon_L246_); trivial.
% 22.64/22.67 (* end of lemma zenon_L2426_ *)
% 22.64/22.67 assert (zenon_L2427_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((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 (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H1fe zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H94 zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_H117 zenon_H236 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H16a zenon_H196 zenon_H13c zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H131 zenon_H4e zenon_H1cf zenon_H283 zenon_H179 zenon_H159 zenon_H26a zenon_H100 zenon_H1ef zenon_H82 zenon_H68 zenon_Ha9 zenon_H139 zenon_He4 zenon_H195 zenon_H163 zenon_H189 zenon_H5d zenon_Hfa zenon_H13a zenon_Hb2 zenon_H110 zenon_H104 zenon_H33 zenon_H121 zenon_H73 zenon_H13f zenon_Hf0 zenon_H111 zenon_Heb zenon_Ha0 zenon_Hb6 zenon_H177 zenon_H15d zenon_H12e zenon_H77 zenon_H93 zenon_H38 zenon_H1b4 zenon_H20f zenon_H129 zenon_H48 zenon_H18d zenon_Hc4 zenon_H1cb zenon_H18a zenon_H1bb zenon_H24e zenon_H7d zenon_H1b7 zenon_H1cd zenon_H160 zenon_H1c7.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.67 apply (zenon_L2018_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.67 apply (zenon_L1300_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.67 apply (zenon_L20_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.67 apply (zenon_L2257_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.67 apply (zenon_L94_); trivial.
% 22.64/22.67 apply (zenon_L167_); trivial.
% 22.64/22.67 apply (zenon_L246_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.67 apply (zenon_L2426_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.67 apply (zenon_L2018_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.67 apply (zenon_L1300_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.67 apply (zenon_L2424_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.67 apply (zenon_L819_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.67 apply (zenon_L1911_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.67 apply (zenon_L95_); trivial.
% 22.64/22.67 apply (zenon_L156_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.67 apply (zenon_L217_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.67 apply (zenon_L819_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.67 apply (zenon_L46_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.67 apply (zenon_L219_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.67 apply (zenon_L184_); trivial.
% 22.64/22.67 apply (zenon_L413_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.67 apply (zenon_L67_); trivial.
% 22.64/22.67 apply (zenon_L134_); trivial.
% 22.64/22.67 apply (zenon_L246_); trivial.
% 22.64/22.67 apply (zenon_L1510_); trivial.
% 22.64/22.67 (* end of lemma zenon_L2427_ *)
% 22.64/22.67 assert (zenon_L2428_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False).
% 22.64/22.67 do 0 intro. intros zenon_Hc0 zenon_H110 zenon_H104.
% 22.64/22.67 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.64/22.67 apply (zenon_L129_); trivial.
% 22.64/22.67 (* end of lemma zenon_L2428_ *)
% 22.64/22.67 assert (zenon_L2429_ : (((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) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H1ec zenon_H25 zenon_H4e zenon_H186 zenon_H5c zenon_H167 zenon_H68 zenon_H163 zenon_H7f zenon_H77 zenon_Ha9 zenon_H9d zenon_H183 zenon_H110 zenon_H131.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1ed ].
% 22.64/22.67 apply (zenon_L274_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H4d | zenon_intro zenon_H1ee ].
% 22.64/22.67 apply (zenon_L138_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H72 | zenon_intro zenon_H133 ].
% 22.64/22.67 apply (zenon_L1815_); trivial.
% 22.64/22.67 apply (zenon_L259_); trivial.
% 22.64/22.67 (* end of lemma zenon_L2429_ *)
% 22.64/22.67 assert (zenon_L2430_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (((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) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H19a zenon_H1b7 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H48 zenon_H93 zenon_H1ec zenon_H25 zenon_H4e zenon_H186 zenon_H5c zenon_H68 zenon_H163 zenon_H7f zenon_H77 zenon_Ha9 zenon_H9d zenon_H183 zenon_H110 zenon_H131.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.64/22.67 apply (zenon_L1276_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.64/22.67 apply (zenon_L157_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.64/22.67 apply (zenon_L158_); trivial.
% 22.64/22.67 apply (zenon_L2429_); trivial.
% 22.64/22.67 (* end of lemma zenon_L2430_ *)
% 22.64/22.67 assert (zenon_L2431_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((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 (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H82 zenon_H28 zenon_H131 zenon_H110 zenon_H183 zenon_Ha9 zenon_H163 zenon_H186 zenon_H4e zenon_H25 zenon_H1ec zenon_H18d zenon_Hc4 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H1b7 zenon_H55 zenon_H40 zenon_H1d8 zenon_He4 zenon_H1ef zenon_Hb2 zenon_H139 zenon_H19a zenon_Ha0 zenon_H5c zenon_H48 zenon_H1cb zenon_H192 zenon_H18a zenon_H164 zenon_Hb6 zenon_Ha4 zenon_H13a zenon_H68 zenon_H2a zenon_H153 zenon_H77 zenon_H93 zenon_H196.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.67 apply (zenon_L2150_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.67 apply (zenon_L26_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.67 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.67 apply (zenon_L116_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.67 apply (zenon_L282_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.64/22.67 apply (zenon_L738_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.64/22.67 exact (zenon_H40 zenon_H3f).
% 22.64/22.67 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.64/22.67 apply (zenon_L15_); trivial.
% 22.64/22.67 apply (zenon_L2430_); trivial.
% 22.64/22.67 apply (zenon_L2153_); trivial.
% 22.64/22.67 (* end of lemma zenon_L2431_ *)
% 22.64/22.67 assert (zenon_L2432_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((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) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H15d zenon_H125 zenon_H1d5 zenon_H94 zenon_H196 zenon_H93 zenon_H77 zenon_H2a zenon_H68 zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H164 zenon_H18a zenon_H192 zenon_H1cb zenon_H48 zenon_Ha0 zenon_H19a zenon_H139 zenon_Hb2 zenon_H1ef zenon_He4 zenon_H1d8 zenon_H40 zenon_H55 zenon_H1b7 zenon_H1bb zenon_H1b4 zenon_H20f zenon_H129 zenon_Hc4 zenon_H18d zenon_H1ec zenon_H25 zenon_H4e zenon_H186 zenon_H163 zenon_Ha9 zenon_H183 zenon_H110 zenon_H131 zenon_H28 zenon_H82 zenon_H5c zenon_Hf5.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.67 apply (zenon_L2392_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.67 apply (zenon_L65_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.67 apply (zenon_L2431_); trivial.
% 22.64/22.67 apply (zenon_L192_); trivial.
% 22.64/22.67 (* end of lemma zenon_L2432_ *)
% 22.64/22.67 assert (zenon_L2433_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((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)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H1fe zenon_H209 zenon_H110 zenon_H1ef zenon_Hb2 zenon_H82 zenon_H5d zenon_H164 zenon_H15d zenon_H196 zenon_H177 zenon_H77 zenon_H139 zenon_H20f zenon_H1bb zenon_H1cb zenon_H160 zenon_Hc4 zenon_H192 zenon_H12e zenon_H18a zenon_H68 zenon_H93 zenon_H48 zenon_Ha0 zenon_H19a zenon_Hb6 zenon_H2a zenon_Ha4 zenon_H13a zenon_H5c zenon_Hf5.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.67 apply (zenon_L2173_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.67 apply (zenon_L2129_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.67 apply (zenon_L2174_); trivial.
% 22.64/22.67 apply (zenon_L2177_); trivial.
% 22.64/22.67 (* end of lemma zenon_L2433_ *)
% 22.64/22.67 assert (zenon_L2434_ : (((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 (e1) (e3)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((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))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H201 zenon_H48 zenon_H31 zenon_H186 zenon_H5c zenon_H190 zenon_H110 zenon_Hef zenon_Hf0 zenon_H55 zenon_H2d zenon_H266 zenon_H77 zenon_H160.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.67 apply (zenon_L239_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.67 apply (zenon_L138_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.67 apply (zenon_L1896_); trivial.
% 22.64/22.67 apply (zenon_L367_); trivial.
% 22.64/22.67 (* end of lemma zenon_L2434_ *)
% 22.64/22.67 assert (zenon_L2435_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (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) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H1a8 zenon_H3d zenon_H77 zenon_H266 zenon_H2d zenon_H55 zenon_Hf0 zenon_H110 zenon_H190 zenon_H5c zenon_H186 zenon_H31 zenon_H48 zenon_H201 zenon_H189 zenon_H99 zenon_H160 zenon_H1cd.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.67 apply (zenon_L214_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.67 apply (zenon_L2434_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.67 apply (zenon_L458_); trivial.
% 22.64/22.67 apply (zenon_L240_); trivial.
% 22.64/22.67 (* end of lemma zenon_L2435_ *)
% 22.64/22.67 assert (zenon_L2436_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (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) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((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)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H1fe zenon_H209 zenon_H1ef zenon_Hb2 zenon_H1a8 zenon_H266 zenon_H55 zenon_Hf0 zenon_H110 zenon_H190 zenon_H186 zenon_H201 zenon_H189 zenon_H99 zenon_H1cd zenon_H6f zenon_H15d zenon_H196 zenon_H93 zenon_H177 zenon_H13a zenon_Ha4 zenon_Ha9 zenon_H19a zenon_Ha0 zenon_H68 zenon_H77 zenon_H139 zenon_H20f zenon_H1bb zenon_H18a zenon_H1cb zenon_H160 zenon_Hc4 zenon_H192 zenon_H12e zenon_H48 zenon_H31 zenon_H5c zenon_Hf5.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.67 apply (zenon_L2179_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.67 apply (zenon_L2129_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.67 apply (zenon_L2412_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.67 apply (zenon_L2435_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.67 apply (zenon_L239_); trivial.
% 22.64/22.67 apply (zenon_L192_); trivial.
% 22.64/22.67 apply (zenon_L2186_); trivial.
% 22.64/22.67 (* end of lemma zenon_L2436_ *)
% 22.64/22.67 assert (zenon_L2437_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H15d zenon_H196 zenon_H177 zenon_H160 zenon_H77 zenon_H139 zenon_H162 zenon_H19a zenon_Ha0 zenon_H48 zenon_H93 zenon_H68 zenon_H1cb zenon_H192 zenon_H2a zenon_H109 zenon_H2d zenon_H164 zenon_Hb6 zenon_Ha4 zenon_H13a zenon_H5c zenon_Hf5.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.67 apply (zenon_L352_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.67 apply (zenon_L65_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.67 apply (zenon_L2404_); trivial.
% 22.64/22.67 apply (zenon_L192_); trivial.
% 22.64/22.67 (* end of lemma zenon_L2437_ *)
% 22.64/22.67 assert (zenon_L2438_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((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)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.67 do 0 intro. intros zenon_H1fe zenon_H140 zenon_H26d zenon_H1b7 zenon_H179 zenon_H4e zenon_H110 zenon_H164 zenon_H109 zenon_H162 zenon_H15d zenon_H196 zenon_H177 zenon_H77 zenon_H139 zenon_H20f zenon_H1bb zenon_H1cb zenon_H160 zenon_Hc4 zenon_H192 zenon_H12e zenon_H18a zenon_H68 zenon_H93 zenon_H48 zenon_Ha0 zenon_H19a zenon_Hb6 zenon_H2a zenon_Ha4 zenon_H13a zenon_H5c zenon_Hf5.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.67 apply (zenon_L2173_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.67 apply (zenon_L352_); trivial.
% 22.64/22.67 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.68 apply (zenon_L65_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.68 apply (zenon_L2403_); trivial.
% 22.64/22.68 apply (zenon_L192_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.68 apply (zenon_L2437_); trivial.
% 22.64/22.68 apply (zenon_L2177_); trivial.
% 22.64/22.68 (* end of lemma zenon_L2438_ *)
% 22.64/22.68 assert (zenon_L2439_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 22.64/22.68 do 0 intro. intros zenon_Hb2 zenon_Hb6 zenon_H47 zenon_H5d zenon_Ha5 zenon_H1ef zenon_H110 zenon_Ha9 zenon_H102.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.68 apply (zenon_L253_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.68 apply (zenon_L42_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.68 apply (zenon_L282_); trivial.
% 22.64/22.68 apply (zenon_L91_); trivial.
% 22.64/22.68 (* end of lemma zenon_L2439_ *)
% 22.64/22.68 assert (zenon_L2440_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 22.64/22.68 do 0 intro. intros zenon_H125 zenon_H1d5 zenon_H66 zenon_H68 zenon_H25 zenon_H94 zenon_H93 zenon_Hb2 zenon_Hb6 zenon_H47 zenon_H5d zenon_Ha5 zenon_H1ef zenon_H110 zenon_Ha9.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.68 apply (zenon_L252_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.68 apply (zenon_L171_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.68 apply (zenon_L38_); trivial.
% 22.64/22.68 apply (zenon_L2439_); trivial.
% 22.64/22.68 (* end of lemma zenon_L2440_ *)
% 22.64/22.68 assert (zenon_L2441_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.64/22.68 do 0 intro. intros zenon_H139 zenon_H77 zenon_Ha0 zenon_H110 zenon_H111 zenon_H47 zenon_Hb6 zenon_H13a zenon_H129 zenon_H93 zenon_H177 zenon_Ha9 zenon_Hac zenon_H34 zenon_H183 zenon_H38 zenon_H68.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.68 apply (zenon_L251_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.68 apply (zenon_L2017_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.68 apply (zenon_L1596_); trivial.
% 22.64/22.68 apply (zenon_L165_); trivial.
% 22.64/22.68 (* end of lemma zenon_L2441_ *)
% 22.64/22.68 assert (zenon_L2442_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.64/22.68 do 0 intro. intros zenon_H1fe zenon_H1ef zenon_H94 zenon_H1d5 zenon_H125 zenon_Hb2 zenon_H5d zenon_Ha5 zenon_H7d zenon_H15d zenon_H68 zenon_H183 zenon_H177 zenon_H13a zenon_Hb6 zenon_H111 zenon_H110 zenon_Ha0 zenon_H139 zenon_Hac zenon_Ha9 zenon_H189 zenon_H1b3 zenon_H77 zenon_H1a8 zenon_Hc4 zenon_H93 zenon_H129 zenon_H20f zenon_H1b4 zenon_H1bb zenon_H73 zenon_H40 zenon_H7a zenon_Heb zenon_H38 zenon_H48.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.68 apply (zenon_L13_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.68 apply (zenon_L1735_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.68 apply (zenon_L1736_); trivial.
% 22.64/22.68 apply (zenon_L246_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.68 apply (zenon_L251_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.68 apply (zenon_L2017_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.68 apply (zenon_L2440_); trivial.
% 22.64/22.68 apply (zenon_L165_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.68 apply (zenon_L1735_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.68 apply (zenon_L1736_); trivial.
% 22.64/22.68 apply (zenon_L246_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.68 apply (zenon_L355_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.68 apply (zenon_L1735_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.68 apply (zenon_L1736_); trivial.
% 22.64/22.68 apply (zenon_L246_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.68 apply (zenon_L2441_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.68 apply (zenon_L1735_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.68 apply (zenon_L1736_); trivial.
% 22.64/22.68 apply (zenon_L246_); trivial.
% 22.64/22.68 (* end of lemma zenon_L2442_ *)
% 22.64/22.68 assert (zenon_L2443_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (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 (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> False).
% 22.64/22.68 do 0 intro. intros zenon_H169 zenon_H15d zenon_H73 zenon_H77 zenon_H189 zenon_Ha9 zenon_Hac zenon_H1a8 zenon_H48 zenon_H13a zenon_Ha0 zenon_H110 zenon_H111 zenon_Hb6 zenon_H125 zenon_H5d zenon_Ha5 zenon_H1ef zenon_Hb2 zenon_H94 zenon_H68 zenon_H1d5 zenon_H139 zenon_H7d zenon_H183 zenon_H177 zenon_H1fe zenon_H7a zenon_H40 zenon_H1bb zenon_Hc4 zenon_H93 zenon_H129 zenon_H20f zenon_H38 zenon_H1b4 zenon_Heb.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.64/22.68 apply (zenon_L1589_); trivial.
% 22.64/22.68 apply (zenon_L2442_); trivial.
% 22.64/22.68 (* end of lemma zenon_L2443_ *)
% 22.64/22.68 assert (zenon_L2444_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.64/22.68 do 0 intro. intros zenon_He2 zenon_H11f zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha5 zenon_Hf5 zenon_Ha9 zenon_H9f zenon_H1c3 zenon_He3 zenon_H2d zenon_H55 zenon_Ha0 zenon_Hac.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.64/22.68 apply (zenon_L1517_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.64/22.68 exact (zenon_He3 zenon_He7).
% 22.64/22.68 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.64/22.68 apply (zenon_L702_); trivial.
% 22.64/22.68 apply (zenon_L107_); trivial.
% 22.64/22.68 (* end of lemma zenon_L2444_ *)
% 22.64/22.68 assert (zenon_L2445_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 22.64/22.68 do 0 intro. intros zenon_H22d zenon_Hac zenon_Ha0 zenon_H55 zenon_He3 zenon_H1c3 zenon_H9f zenon_Ha9 zenon_Hf5 zenon_Ha5 zenon_H196 zenon_H1b4 zenon_H1fb zenon_H25e zenon_H77 zenon_H11f zenon_He2 zenon_H3c zenon_H100 zenon_H94 zenon_H93 zenon_H110 zenon_H1ef.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H2d | zenon_intro zenon_H22e ].
% 22.64/22.68 apply (zenon_L2444_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H54 | zenon_intro zenon_H22f ].
% 22.64/22.68 apply (zenon_L69_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha8 ].
% 22.64/22.68 apply (zenon_L38_); trivial.
% 22.64/22.68 apply (zenon_L282_); trivial.
% 22.64/22.68 (* end of lemma zenon_L2445_ *)
% 22.64/22.68 assert (zenon_L2446_ : ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e2) (e2)) = (e3)) -> False).
% 22.64/22.68 do 0 intro. intros zenon_H54 zenon_H100 zenon_H40 zenon_H1d4 zenon_H1bb zenon_H129 zenon_H20f zenon_H38 zenon_H1b4 zenon_H283 zenon_Ha0 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_Ha9 zenon_H13a zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H1ef zenon_Hb6 zenon_H13c zenon_H139 zenon_H77 zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1b7 zenon_H1c6 zenon_H68 zenon_H25b zenon_H186 zenon_Hf5 zenon_H48 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H236 zenon_H117 zenon_Heb zenon_H15d zenon_H282 zenon_Hcc zenon_H1c3 zenon_H26d zenon_H1fb zenon_H5d zenon_H94 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H110.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.68 apply (zenon_L69_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.68 exact (zenon_H40 zenon_H3f).
% 22.64/22.68 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.68 exact (zenon_H1d4 zenon_H4d).
% 22.64/22.68 apply (zenon_L2425_); trivial.
% 22.64/22.68 (* end of lemma zenon_L2446_ *)
% 22.64/22.68 assert (zenon_L2447_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (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))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.64/22.68 do 0 intro. intros zenon_H139 zenon_H1e zenon_H159 zenon_H173 zenon_H40 zenon_He3 zenon_H158 zenon_H129 zenon_H93 zenon_H177 zenon_Ha9 zenon_Hac zenon_H7e zenon_H77 zenon_H183 zenon_H38 zenon_H68.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.68 apply (zenon_L20_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.68 apply (zenon_L306_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.68 apply (zenon_L1575_); trivial.
% 22.64/22.68 apply (zenon_L165_); trivial.
% 22.64/22.68 (* end of lemma zenon_L2447_ *)
% 22.64/22.68 assert (zenon_L2448_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.68 do 0 intro. intros zenon_H139 zenon_H68 zenon_H1e zenon_H159 zenon_H173 zenon_H40 zenon_He3 zenon_H158 zenon_H153 zenon_H77 zenon_H93 zenon_H196.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.68 apply (zenon_L20_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.68 apply (zenon_L306_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.68 apply (zenon_L94_); trivial.
% 22.64/22.68 apply (zenon_L167_); trivial.
% 22.64/22.68 (* end of lemma zenon_L2448_ *)
% 22.64/22.68 assert (zenon_L2449_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 22.64/22.68 do 0 intro. intros zenon_H20b zenon_H26d zenon_Ha0 zenon_H38 zenon_Hb6 zenon_He2 zenon_He3 zenon_H1b7 zenon_H11f zenon_H48 zenon_H40 zenon_H1d8 zenon_He4 zenon_Hac zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha5 zenon_Hf5 zenon_Ha9 zenon_H1c3 zenon_H13a zenon_H160 zenon_H177 zenon_H110 zenon_H111.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H31 | zenon_intro zenon_H20c ].
% 22.64/22.68 apply (zenon_L756_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H153 | zenon_intro zenon_H20d ].
% 22.64/22.68 apply (zenon_L1603_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfe ].
% 22.64/22.68 apply (zenon_L122_); trivial.
% 22.64/22.68 apply (zenon_L75_); trivial.
% 22.64/22.68 (* end of lemma zenon_L2449_ *)
% 22.64/22.68 assert (zenon_L2450_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.68 do 0 intro. intros zenon_H12e zenon_H3d zenon_H192 zenon_H1bb zenon_H18a zenon_H1cb zenon_Hc4 zenon_H183 zenon_H68 zenon_H34 zenon_H111 zenon_H110 zenon_H177 zenon_H13a zenon_H1c3 zenon_Ha9 zenon_Hf5 zenon_Ha5 zenon_H196 zenon_H1b4 zenon_H1fb zenon_H25e zenon_H77 zenon_Hac zenon_He4 zenon_H1d8 zenon_H40 zenon_H48 zenon_H1b7 zenon_He3 zenon_He2 zenon_Hb6 zenon_H38 zenon_Ha0 zenon_H26d zenon_H20b zenon_H93 zenon_H129.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.64/22.68 apply (zenon_L456_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.64/22.68 apply (zenon_L146_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.64/22.68 apply (zenon_L1598_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.64/22.68 apply (zenon_L291_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.64/22.68 apply (zenon_L371_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.64/22.68 apply (zenon_L2449_); trivial.
% 22.64/22.68 apply (zenon_L126_); trivial.
% 22.64/22.68 (* end of lemma zenon_L2450_ *)
% 22.64/22.68 assert (zenon_L2451_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((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 (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (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)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((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 (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.64/22.68 do 0 intro. intros zenon_H1fe zenon_H82 zenon_H22d zenon_H284 zenon_H19a zenon_H281 zenon_H94 zenon_H5d zenon_Hcc zenon_H282 zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H189 zenon_H27e zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H16a zenon_H13c zenon_H1ef zenon_H266 zenon_H6f zenon_H190 zenon_H13e zenon_H73 zenon_H131 zenon_H163 zenon_H1cf zenon_H283 zenon_H20f zenon_H100 zenon_H186 zenon_H156 zenon_H1d4 zenon_H4e zenon_H1ec zenon_H55 zenon_H15d zenon_H158 zenon_H173 zenon_H159 zenon_H139 zenon_H20b zenon_H26d zenon_H177 zenon_H110 zenon_H111 zenon_H192 zenon_H12e zenon_H129 zenon_H93 zenon_H1bb zenon_H18a zenon_Ha0 zenon_Hb6 zenon_He2 zenon_He3 zenon_H1b7 zenon_H40 zenon_H1d8 zenon_He4 zenon_Hac zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha5 zenon_Hf5 zenon_Ha9 zenon_H1c3 zenon_H13a zenon_H1cb zenon_Hc4 zenon_H68 zenon_H183 zenon_H38 zenon_H48.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.68 apply (zenon_L13_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.68 apply (zenon_L13_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.68 apply (zenon_L20_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.68 apply (zenon_L214_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.64/22.68 apply (zenon_L246_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.64/22.68 apply (zenon_L17_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.64/22.68 apply (zenon_L218_); trivial.
% 22.64/22.68 apply (zenon_L2445_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.68 apply (zenon_L55_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.68 apply (zenon_L193_); trivial.
% 22.64/22.68 apply (zenon_L262_); trivial.
% 22.64/22.68 apply (zenon_L167_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.68 apply (zenon_L2446_); trivial.
% 22.64/22.68 apply (zenon_L2447_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.68 apply (zenon_L2448_); trivial.
% 22.64/22.68 apply (zenon_L246_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.68 apply (zenon_L309_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.68 apply (zenon_L1594_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.68 apply (zenon_L1597_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.68 apply (zenon_L2450_); trivial.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.68 apply (zenon_L1605_); trivial.
% 22.64/22.68 apply (zenon_L246_); trivial.
% 22.64/22.68 (* end of lemma zenon_L2451_ *)
% 22.64/22.68 assert (zenon_L2452_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (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 (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (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) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e3)) = (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 (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((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)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 22.64/22.68 do 0 intro. intros zenon_H169 zenon_H139 zenon_H18d zenon_He2 zenon_Hac zenon_Ha0 zenon_H55 zenon_He3 zenon_Ha9 zenon_Ha5 zenon_H25e zenon_Hf5 zenon_H196 zenon_H1b4 zenon_H1fb zenon_H1c3 zenon_H100 zenon_H94 zenon_H1ef zenon_H110 zenon_H22d zenon_H93 zenon_H5d zenon_H38 zenon_Hb6 zenon_H13a zenon_H77 zenon_H68 zenon_H284 zenon_H19a zenon_H281 zenon_H26d zenon_Hcc zenon_H282 zenon_H15d zenon_Heb zenon_H117 zenon_H236 zenon_H195 zenon_H189 zenon_H27e zenon_H186 zenon_H25b zenon_H1c6 zenon_H1b7 zenon_H1a2 zenon_H1cb zenon_H16a zenon_H13c zenon_H266 zenon_H6f zenon_H190 zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H20f zenon_H129 zenon_H1bb zenon_H40 zenon_H177 zenon_H183 zenon_H159 zenon_H82 zenon_H48 zenon_H192 zenon_H18a zenon_Hc4 zenon_He4 zenon_H1d8 zenon_H111 zenon_H20b zenon_H12e zenon_H1fe.
% 22.64/22.68 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.64/22.68 apply (zenon_L2451_); trivial.
% 22.64/22.68 apply (zenon_L1113_); trivial.
% 22.64/22.68 (* end of lemma zenon_L2452_ *)
% 22.64/22.68 assert (zenon_L2453_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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 (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e2) (e2)) = (e3)) -> False).
% 22.64/22.69 do 0 intro. intros zenon_He2 zenon_H22d zenon_H192 zenon_H1d8 zenon_H20b zenon_H1a8 zenon_H125 zenon_H1d5 zenon_H183 zenon_H15d zenon_H196 zenon_H121 zenon_H33 zenon_Ha9 zenon_H177 zenon_H68 zenon_H139 zenon_Hb2 zenon_H100 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H131 zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H13c zenon_H16a zenon_H1a2 zenon_H1c6 zenon_H25b zenon_H186 zenon_Hf5 zenon_H27e zenon_H195 zenon_H236 zenon_H117 zenon_Heb zenon_H282 zenon_Hcc zenon_H1c3 zenon_H5d zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H26a zenon_H159 zenon_H179 zenon_H1ef zenon_H82 zenon_H13f zenon_Hf0 zenon_Hfa zenon_He4 zenon_H1fe zenon_H189 zenon_H94 zenon_Hb6 zenon_H111 zenon_Ha0 zenon_H13a zenon_H48 zenon_H18d zenon_H1b7 zenon_H77 zenon_H1b4 zenon_H20f zenon_H129 zenon_H1bb zenon_H1cb zenon_H231 zenon_H104 zenon_H18a zenon_H24e zenon_H1cd zenon_H7d zenon_H12e zenon_Hbc zenon_H26d zenon_H1fb zenon_H38 zenon_H110.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H191 | zenon_intro zenon_H93 ].
% 22.64/22.69 exact (zenon_H191 zenon_H110).
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.69 apply (zenon_L2_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.69 apply (zenon_L1146_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.69 apply (zenon_L1147_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.69 apply (zenon_L1515_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.69 apply (zenon_L1843_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.69 apply (zenon_L11_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.69 apply (zenon_L2401_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.69 apply (zenon_L1717_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.69 apply (zenon_L1208_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.69 apply (zenon_L1209_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.69 apply (zenon_L37_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.69 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.64/22.69 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.64/22.69 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.69 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.69 apply (zenon_L2427_); trivial.
% 22.64/22.69 apply (zenon_L555_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.69 apply (zenon_L1353_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.69 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.64/22.69 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.64/22.69 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.69 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.69 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.69 apply (zenon_L2443_); trivial.
% 22.64/22.69 apply (zenon_L2443_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.69 apply (zenon_L2452_); trivial.
% 22.64/22.69 apply (zenon_L2452_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.69 apply (zenon_L2428_); trivial.
% 22.64/22.69 apply (zenon_L51_); trivial.
% 22.64/22.69 apply (zenon_L1213_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2453_ *)
% 22.64/22.69 assert (zenon_L2454_ : ((op (e2) (e2)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H110 zenon_H38 zenon_H1fb zenon_H26d zenon_Hbc zenon_H12e zenon_H7d zenon_H1cd zenon_H24e zenon_H18a zenon_H104 zenon_H231 zenon_H1cb zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H77 zenon_H1b7 zenon_H18d zenon_H48 zenon_H13a zenon_Ha0 zenon_H111 zenon_Hb6 zenon_H94 zenon_H189 zenon_H1fe zenon_He4 zenon_Hfa zenon_Hf0 zenon_H13f zenon_H82 zenon_H1ef zenon_H179 zenon_H26a zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H5d zenon_H1c3 zenon_Hcc zenon_H282 zenon_Heb zenon_H117 zenon_H236 zenon_H195 zenon_H27e zenon_Hf5 zenon_H186 zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H16a zenon_H13c zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H100 zenon_Hb2 zenon_H139 zenon_H68 zenon_H177 zenon_Ha9 zenon_H33 zenon_H121 zenon_H196 zenon_H15d zenon_H183 zenon_H1d5 zenon_H125 zenon_H1a8 zenon_H20b zenon_H1d8 zenon_H192 zenon_H22d zenon_He2.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H159 | zenon_intro zenon_H5c ].
% 22.64/22.69 apply (zenon_L2453_); trivial.
% 22.64/22.69 apply (zenon_L2425_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2454_ *)
% 22.64/22.69 assert (zenon_L2455_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (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 (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (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) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_Hc8 zenon_H109 zenon_H179 zenon_H140 zenon_H24e zenon_H104 zenon_H231 zenon_H111 zenon_Hfa zenon_H13f zenon_H26a zenon_H100 zenon_H121 zenon_H183 zenon_H1d5 zenon_H125 zenon_H20b zenon_H1d8 zenon_H22d zenon_He2 zenon_H15d zenon_Hf5 zenon_H13a zenon_H234 zenon_H5c zenon_H141 zenon_H110 zenon_Ha0 zenon_H2c zenon_H164 zenon_H18a zenon_H7d zenon_Hbc zenon_H212 zenon_H1cb zenon_H1b7 zenon_H19a zenon_H33 zenon_He4 zenon_Hb6 zenon_Ha9 zenon_Ha4 zenon_H68 zenon_H77 zenon_H177 zenon_H160 zenon_H196 zenon_H93 zenon_H139 zenon_H48 zenon_H1fe zenon_H12e zenon_H20f zenon_Hc4 zenon_H1bb zenon_H82 zenon_H192 zenon_H5d zenon_H1ef zenon_Hb2 zenon_H186 zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H201 zenon_H1a8 zenon_H1cd zenon_H189 zenon_H99 zenon_Hf0 zenon_H284 zenon_H25e zenon_H281 zenon_H94 zenon_H1fb zenon_H26d zenon_H1c3 zenon_Hcc zenon_H282 zenon_Heb zenon_H117 zenon_H236 zenon_H18d zenon_H195 zenon_H27e zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H16a zenon_H13c zenon_H13e zenon_H158 zenon_H156 zenon_H173 zenon_H1ec zenon_H73 zenon_H131 zenon_H4e zenon_H163 zenon_H1cf zenon_H283 zenon_H1b4 zenon_H129.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.69 apply (zenon_L2133_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.69 apply (zenon_L2433_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.69 apply (zenon_L2436_); trivial.
% 22.64/22.69 apply (zenon_L1236_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.69 apply (zenon_L2193_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.69 apply (zenon_L2438_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.69 apply (zenon_L2194_); trivial.
% 22.64/22.69 apply (zenon_L2454_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2455_ *)
% 22.64/22.69 assert (zenon_L2456_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H19a zenon_H177 zenon_H160 zenon_H13a zenon_Hb6 zenon_H47 zenon_Ha9 zenon_H111 zenon_H110 zenon_Ha0 zenon_H77 zenon_H139 zenon_H5c zenon_H48 zenon_H93 zenon_H68 zenon_He0 zenon_H1b7.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.64/22.69 apply (zenon_L2018_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.64/22.69 apply (zenon_L157_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.64/22.69 apply (zenon_L158_); trivial.
% 22.64/22.69 apply (zenon_L556_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2456_ *)
% 22.64/22.69 assert (zenon_L2457_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H24e zenon_H1b7 zenon_H68 zenon_H93 zenon_H48 zenon_H5c zenon_H139 zenon_H77 zenon_Ha0 zenon_H110 zenon_H111 zenon_Ha9 zenon_H47 zenon_Hb6 zenon_H13a zenon_H177 zenon_H19a zenon_H53 zenon_H1f1 zenon_H1cd zenon_H160 zenon_H10c zenon_H11a.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_He0 | zenon_intro zenon_H24f ].
% 22.64/22.69 apply (zenon_L2456_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H7f | zenon_intro zenon_H250 ].
% 22.64/22.69 apply (zenon_L284_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H171 | zenon_intro zenon_Hac ].
% 22.64/22.69 apply (zenon_L240_); trivial.
% 22.64/22.69 apply (zenon_L79_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2457_ *)
% 22.64/22.69 assert (zenon_L2458_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H164 zenon_H2d zenon_H109 zenon_H26d zenon_H31 zenon_H183 zenon_H9d zenon_H6e zenon_H192 zenon_H11a zenon_H10c zenon_H1cd zenon_H1f1 zenon_H53 zenon_H19a zenon_H177 zenon_H13a zenon_Hb6 zenon_H47 zenon_Ha9 zenon_H111 zenon_H110 zenon_Ha0 zenon_H77 zenon_H139 zenon_H5c zenon_H48 zenon_H93 zenon_H1b7 zenon_H24e zenon_H68.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.64/22.69 apply (zenon_L359_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.64/22.69 apply (zenon_L821_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.64/22.69 apply (zenon_L406_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H102 | zenon_intro zenon_H184 ].
% 22.64/22.69 apply (zenon_L91_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H185 ].
% 22.64/22.69 apply (zenon_L1128_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ].
% 22.64/22.69 apply (zenon_L2457_); trivial.
% 22.64/22.69 apply (zenon_L295_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2458_ *)
% 22.64/22.69 assert (zenon_L2459_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H204 zenon_H82 zenon_H140 zenon_H23d zenon_H33 zenon_H236 zenon_H9e zenon_Ha0 zenon_H1f zenon_H1bb zenon_H129 zenon_H20f zenon_H1b4 zenon_H283 zenon_H1cf zenon_H163 zenon_H4e zenon_H73 zenon_H1ec zenon_H173 zenon_H156 zenon_H158 zenon_H13e zenon_H1ef zenon_H196 zenon_H16a zenon_H1cb zenon_H1a2 zenon_H1c6 zenon_H25b zenon_H186 zenon_H27e zenon_H189 zenon_H195 zenon_H18d zenon_H117 zenon_Heb zenon_H282 zenon_Hcc zenon_H1c3 zenon_H1fb zenon_H5d zenon_H281 zenon_H25e zenon_H284 zenon_H125 zenon_H9d zenon_Ha9 zenon_H93 zenon_H94 zenon_H68 zenon_H15d zenon_H13c zenon_Hf5 zenon_H131 zenon_H48 zenon_H164 zenon_H192 zenon_H24e zenon_H11a zenon_H1cd zenon_H1f1 zenon_H139 zenon_Hb6 zenon_H111 zenon_H110 zenon_H13a zenon_H77 zenon_H183 zenon_H177 zenon_H26d zenon_H5c zenon_H1b7 zenon_H19a zenon_H109 zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13f zenon_H179 zenon_H18a zenon_H1fe zenon_H240.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.64/22.69 apply (zenon_L1873_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.69 exact (zenon_H1f zenon_H1e).
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.69 exact (zenon_H205 zenon_H2a).
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.69 exact (zenon_H1f zenon_H1e).
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.69 apply (zenon_L2196_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.69 exact (zenon_H6c zenon_H67).
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.69 apply (zenon_L123_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.64/22.69 apply (zenon_L217_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.64/22.69 apply (zenon_L2458_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.64/22.69 apply (zenon_L2130_); trivial.
% 22.64/22.69 apply (zenon_L218_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.69 apply (zenon_L259_); trivial.
% 22.64/22.69 apply (zenon_L262_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.69 apply (zenon_L264_); trivial.
% 22.64/22.69 apply (zenon_L92_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.69 apply (zenon_L1853_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.69 apply (zenon_L239_); trivial.
% 22.64/22.69 apply (zenon_L192_); trivial.
% 22.64/22.69 apply (zenon_L851_); trivial.
% 22.64/22.69 apply (zenon_L1236_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.64/22.69 apply (zenon_L2198_); trivial.
% 22.64/22.69 apply (zenon_L611_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2459_ *)
% 22.64/22.69 assert (zenon_L2460_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H3d zenon_Ha9 zenon_H66 zenon_Ha5 zenon_Hf5.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.69 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.69 apply (zenon_L55_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.69 apply (zenon_L193_); trivial.
% 22.64/22.69 apply (zenon_L262_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2460_ *)
% 22.64/22.69 assert (zenon_L2461_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Ha9 zenon_H6e zenon_Hb6 zenon_H153 zenon_Ha5 zenon_Hf5.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.69 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.69 apply (zenon_L110_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.69 apply (zenon_L95_); trivial.
% 22.64/22.69 apply (zenon_L262_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2461_ *)
% 22.64/22.69 assert (zenon_L2462_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H139 zenon_H68 zenon_H1e zenon_Hf5 zenon_Ha5 zenon_Hb6 zenon_Ha9 zenon_Ha4 zenon_H13a zenon_H153 zenon_H77 zenon_H93 zenon_H196.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.69 apply (zenon_L20_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.69 apply (zenon_L2461_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.69 apply (zenon_L94_); trivial.
% 22.64/22.69 apply (zenon_L167_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2462_ *)
% 22.64/22.69 assert (zenon_L2463_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H15d zenon_H1e zenon_H48 zenon_Ha5 zenon_Hb6 zenon_H2a zenon_Ha0 zenon_Ha4 zenon_H13a zenon_H5c zenon_Hf5.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.69 apply (zenon_L13_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.69 apply (zenon_L65_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.69 apply (zenon_L600_); trivial.
% 22.64/22.69 apply (zenon_L192_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2463_ *)
% 22.64/22.69 assert (zenon_L2464_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H15d zenon_H7d zenon_Hac zenon_H2d zenon_H5d zenon_Hb2 zenon_H48 zenon_Ha5 zenon_Hb6 zenon_H2a zenon_Ha0 zenon_Ha4 zenon_H13a zenon_H5c zenon_Hf5.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.69 apply (zenon_L355_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.69 apply (zenon_L65_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.69 apply (zenon_L600_); trivial.
% 22.64/22.69 apply (zenon_L192_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2464_ *)
% 22.64/22.69 assert (zenon_L2465_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Hb6 zenon_H3d zenon_Ha0 zenon_H31 zenon_Ha5 zenon_Hf5.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.69 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.69 apply (zenon_L55_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.69 apply (zenon_L68_); trivial.
% 22.64/22.69 apply (zenon_L262_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2465_ *)
% 22.64/22.69 assert (zenon_L2466_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H15d zenon_H1e zenon_Ha5 zenon_Ha0 zenon_Hb6 zenon_Ha4 zenon_H13a zenon_H48 zenon_H31 zenon_H5c zenon_Hf5.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.69 apply (zenon_L13_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.69 apply (zenon_L2465_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.69 apply (zenon_L239_); trivial.
% 22.64/22.69 apply (zenon_L192_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2466_ *)
% 22.64/22.69 assert (zenon_L2467_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_Ha9 zenon_H6e zenon_Ha0 zenon_H31 zenon_Ha5 zenon_Hf5.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.69 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.69 apply (zenon_L110_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.69 apply (zenon_L68_); trivial.
% 22.64/22.69 apply (zenon_L262_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2467_ *)
% 22.64/22.69 assert (zenon_L2468_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H139 zenon_H77 zenon_Hf5 zenon_H31 zenon_Ha0 zenon_Ha4 zenon_H13a zenon_Ha9 zenon_H110 zenon_H1ef zenon_Ha5 zenon_H5d zenon_H47 zenon_Hb6 zenon_Hb2 zenon_H94 zenon_H25 zenon_H68 zenon_H1d5 zenon_H125 zenon_H93 zenon_H196.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.69 apply (zenon_L251_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.69 apply (zenon_L2467_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.69 apply (zenon_L2440_); trivial.
% 22.64/22.69 apply (zenon_L167_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2468_ *)
% 22.64/22.69 assert (zenon_L2469_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e2) (e0)) = (e0)) -> (~((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)) = (e3)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H15d zenon_H7d zenon_Hac zenon_H2d zenon_H5d zenon_Hb2 zenon_Ha5 zenon_Ha0 zenon_Hb6 zenon_Ha4 zenon_H13a zenon_H48 zenon_H31 zenon_H5c zenon_Hf5.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.69 apply (zenon_L355_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.69 apply (zenon_L2465_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.69 apply (zenon_L239_); trivial.
% 22.64/22.69 apply (zenon_L192_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2469_ *)
% 22.64/22.69 assert (zenon_L2470_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H15d zenon_H196 zenon_H177 zenon_H13a zenon_Ha4 zenon_Ha0 zenon_Ha5 zenon_H77 zenon_H139 zenon_H20f zenon_H183 zenon_H68 zenon_Hac zenon_Ha9 zenon_Hc4 zenon_H1cb zenon_H34 zenon_H18a zenon_H1bb zenon_H93 zenon_H129 zenon_H192 zenon_H12e zenon_H48 zenon_H31 zenon_H5c zenon_Hf5.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.69 apply (zenon_L251_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.69 apply (zenon_L2467_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.69 apply (zenon_L1596_); trivial.
% 22.64/22.69 apply (zenon_L167_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.69 apply (zenon_L1599_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.69 apply (zenon_L239_); trivial.
% 22.64/22.69 apply (zenon_L192_); trivial.
% 22.64/22.69 (* end of lemma zenon_L2470_ *)
% 22.64/22.69 assert (zenon_L2471_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((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 (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.64/22.69 do 0 intro. intros zenon_H169 zenon_H189 zenon_H1a8 zenon_H15c zenon_H111 zenon_H73 zenon_H15d zenon_H5c zenon_H68 zenon_H77 zenon_H13a zenon_Ha5 zenon_Hf5 zenon_Ha9 zenon_Hb6 zenon_Ha4 zenon_H196 zenon_H93 zenon_H139 zenon_H48 zenon_H1fe zenon_H177 zenon_H129 zenon_H183 zenon_H12e zenon_H20f zenon_H1bb zenon_Hc4 zenon_H1cb zenon_H18a zenon_H192 zenon_H7d zenon_H1d5 zenon_H94 zenon_Hb2 zenon_H110 zenon_H1ef zenon_H5d zenon_H125 zenon_H173 zenon_H40 zenon_H11a zenon_Hac zenon_H158 zenon_Ha0 zenon_Heb zenon_H1b4 zenon_H7a zenon_H236.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.69 apply (zenon_L13_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.69 apply (zenon_L20_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.69 apply (zenon_L214_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.69 apply (zenon_L2460_); trivial.
% 22.64/22.69 apply (zenon_L167_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.69 apply (zenon_L2462_); trivial.
% 22.64/22.69 apply (zenon_L192_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.69 apply (zenon_L2463_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.69 apply (zenon_L251_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.69 apply (zenon_L358_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.69 apply (zenon_L2440_); trivial.
% 22.64/22.69 apply (zenon_L167_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.69 apply (zenon_L65_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.69 apply (zenon_L600_); trivial.
% 22.64/22.69 apply (zenon_L192_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.69 apply (zenon_L2464_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.69 apply (zenon_L251_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.69 apply (zenon_L147_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.69 apply (zenon_L1596_); trivial.
% 22.64/22.69 apply (zenon_L167_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.69 apply (zenon_L1599_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.69 apply (zenon_L600_); trivial.
% 22.64/22.69 apply (zenon_L192_); trivial.
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.69 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.70 apply (zenon_L2466_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.70 apply (zenon_L2468_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.70 apply (zenon_L2465_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.70 apply (zenon_L239_); trivial.
% 22.64/22.70 apply (zenon_L192_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.70 apply (zenon_L2469_); trivial.
% 22.64/22.70 apply (zenon_L2470_); trivial.
% 22.64/22.70 apply (zenon_L1589_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.70 apply (zenon_L13_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.70 apply (zenon_L1735_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.70 apply (zenon_L2462_); trivial.
% 22.64/22.70 apply (zenon_L192_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.70 apply (zenon_L1224_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.70 apply (zenon_L2466_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.70 apply (zenon_L2468_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.70 apply (zenon_L1735_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.70 apply (zenon_L239_); trivial.
% 22.64/22.70 apply (zenon_L192_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.70 apply (zenon_L2469_); trivial.
% 22.64/22.70 apply (zenon_L2470_); trivial.
% 22.64/22.70 apply (zenon_L2442_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2471_ *)
% 22.64/22.70 assert (zenon_L2472_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H169 zenon_H5c zenon_H110 zenon_H1fb zenon_H26d zenon_Hbc zenon_H1cd zenon_H24e zenon_H104 zenon_H231 zenon_H1b4 zenon_H1b7 zenon_H18d zenon_H111 zenon_H94 zenon_H189 zenon_He4 zenon_Hfa zenon_Hf0 zenon_H13f zenon_H82 zenon_H1ef zenon_H179 zenon_H26a zenon_H284 zenon_H25e zenon_H19a zenon_H281 zenon_H1c3 zenon_Hcc zenon_H282 zenon_Heb zenon_H117 zenon_H236 zenon_H195 zenon_H27e zenon_H25b zenon_H1c6 zenon_H1a2 zenon_H16a zenon_H13c zenon_H266 zenon_H6f zenon_H190 zenon_H55 zenon_H13e zenon_H73 zenon_H131 zenon_H163 zenon_H1cf zenon_H283 zenon_H100 zenon_H33 zenon_H121 zenon_H1d5 zenon_H125 zenon_H1a8 zenon_H20b zenon_H1d8 zenon_H22d zenon_He2 zenon_Ha0 zenon_H1ec zenon_H186 zenon_H156 zenon_H4e zenon_H5d zenon_H7d zenon_Hac zenon_Hb2 zenon_H192 zenon_H18a zenon_H1cb zenon_Hc4 zenon_H1bb zenon_H20f zenon_H12e zenon_H183 zenon_H129 zenon_H177 zenon_H1fe zenon_H48 zenon_H139 zenon_H93 zenon_H196 zenon_Ha4 zenon_Hb6 zenon_Ha9 zenon_Hf5 zenon_Ha5 zenon_H13a zenon_He3 zenon_H40 zenon_H173 zenon_H158 zenon_H68 zenon_H77 zenon_H15d zenon_H15c.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.64/22.70 exact (zenon_Hec zenon_H5c).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.70 apply (zenon_L13_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.70 apply (zenon_L20_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.70 apply (zenon_L306_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.70 apply (zenon_L2460_); trivial.
% 22.64/22.70 apply (zenon_L167_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.70 apply (zenon_L2448_); trivial.
% 22.64/22.70 apply (zenon_L192_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.70 apply (zenon_L2463_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.70 apply (zenon_L309_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.70 apply (zenon_L2464_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.70 apply (zenon_L1597_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.70 apply (zenon_L1599_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.70 apply (zenon_L600_); trivial.
% 22.64/22.70 apply (zenon_L192_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.70 apply (zenon_L13_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.70 apply (zenon_L2465_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.70 apply (zenon_L2448_); trivial.
% 22.64/22.70 apply (zenon_L192_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.70 apply (zenon_L309_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.70 apply (zenon_L2469_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.70 apply (zenon_L1597_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.70 apply (zenon_L1599_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.70 apply (zenon_L239_); trivial.
% 22.64/22.70 apply (zenon_L192_); trivial.
% 22.64/22.70 apply (zenon_L2453_); trivial.
% 22.64/22.70 apply (zenon_L1614_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2472_ *)
% 22.64/22.70 assert (zenon_L2473_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((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 (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H201 zenon_H212 zenon_H2c zenon_H141 zenon_H234 zenon_H140 zenon_H23d zenon_H164 zenon_H1f1 zenon_H109 zenon_H236 zenon_H1b4 zenon_Heb zenon_Ha0 zenon_H158 zenon_H11a zenon_H173 zenon_H125 zenon_H5d zenon_H1ef zenon_Hb2 zenon_H94 zenon_H1d5 zenon_H7d zenon_H192 zenon_H18a zenon_H1cb zenon_Hc4 zenon_H1bb zenon_H20f zenon_H12e zenon_H183 zenon_H129 zenon_H177 zenon_H1fe zenon_H48 zenon_H139 zenon_H93 zenon_H196 zenon_Ha4 zenon_Hb6 zenon_Ha9 zenon_Hf5 zenon_H13a zenon_H77 zenon_H68 zenon_H5c zenon_H15d zenon_H73 zenon_H111 zenon_H1a8 zenon_H189 zenon_H4e zenon_H156 zenon_H186 zenon_H1ec zenon_He2 zenon_H22d zenon_H1d8 zenon_H20b zenon_H121 zenon_H33 zenon_H100 zenon_H283 zenon_H1cf zenon_H163 zenon_H131 zenon_H13e zenon_H55 zenon_H190 zenon_H6f zenon_H266 zenon_H13c zenon_H16a zenon_H1a2 zenon_H1c6 zenon_H25b zenon_H27e zenon_H195 zenon_H117 zenon_H282 zenon_Hcc zenon_H1c3 zenon_H281 zenon_H19a zenon_H25e zenon_H284 zenon_H26a zenon_H179 zenon_H82 zenon_H13f zenon_Hf0 zenon_Hfa zenon_He4 zenon_H18d zenon_H1b7 zenon_H231 zenon_H24e zenon_H1cd zenon_Hbc zenon_H26d zenon_H1fb zenon_H104 zenon_H110.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.70 apply (zenon_L2_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.70 apply (zenon_L2432_); trivial.
% 22.64/22.70 apply (zenon_L2432_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.70 apply (zenon_L2396_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.70 apply (zenon_L2397_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.70 apply (zenon_L1206_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.70 apply (zenon_L11_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.70 apply (zenon_L1207_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.70 apply (zenon_L2406_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.70 apply (zenon_L1208_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.70 apply (zenon_L1209_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.70 apply (zenon_L37_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.70 apply (zenon_L2455_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.70 apply (zenon_L2459_); trivial.
% 22.64/22.70 apply (zenon_L2459_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.70 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.70 apply (zenon_L2471_); trivial.
% 22.64/22.70 apply (zenon_L2471_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.70 apply (zenon_L2472_); trivial.
% 22.64/22.70 apply (zenon_L2472_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.70 apply (zenon_L2428_); trivial.
% 22.64/22.70 apply (zenon_L51_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2473_ *)
% 22.64/22.70 assert (zenon_L2474_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_Heb zenon_H48 zenon_H25 zenon_H40 zenon_H1d4 zenon_H11f zenon_H20f.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.70 apply (zenon_L25_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.70 exact (zenon_H40 zenon_H3f).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.70 exact (zenon_H1d4 zenon_H4d).
% 22.64/22.70 apply (zenon_L412_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2474_ *)
% 22.64/22.70 assert (zenon_L2475_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H169 zenon_H173 zenon_H2a zenon_H11a zenon_Hac zenon_H158 zenon_H48 zenon_H25 zenon_H40 zenon_H20f zenon_H11f zenon_Heb.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.64/22.70 apply (zenon_L2474_); trivial.
% 22.64/22.70 apply (zenon_L372_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2475_ *)
% 22.64/22.70 assert (zenon_L2476_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H28 zenon_H173 zenon_H11a zenon_Hac zenon_H158 zenon_H48 zenon_H40 zenon_H20f zenon_H11f zenon_Heb.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.70 apply (zenon_L2475_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2476_ *)
% 22.64/22.70 assert (zenon_L2477_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H164 zenon_H2d zenon_H109 zenon_Hac zenon_Ha0 zenon_H31 zenon_H177 zenon_H48 zenon_H11f.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.64/22.70 apply (zenon_L359_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.64/22.70 apply (zenon_L107_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.64/22.70 apply (zenon_L406_); trivial.
% 22.64/22.70 apply (zenon_L1803_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2477_ *)
% 22.64/22.70 assert (zenon_L2478_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H2f zenon_H164 zenon_H109 zenon_Hac zenon_Ha0 zenon_H177 zenon_H48 zenon_H11f.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 22.64/22.70 apply (zenon_L2477_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2478_ *)
% 22.64/22.70 assert (zenon_L2479_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.64/22.70 do 0 intro. intros zenon_Hca zenon_H11f zenon_Hac.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.70 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.70 exact (zenon_H120 zenon_H11f).
% 22.64/22.70 (* end of lemma zenon_L2479_ *)
% 22.64/22.70 assert (zenon_L2480_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H36 zenon_H11f zenon_Hac.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.70 apply (zenon_L2479_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2480_ *)
% 22.64/22.70 assert (zenon_L2481_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H92 zenon_H139 zenon_H196 zenon_Ha9 zenon_Hb6 zenon_H4d zenon_H1cd zenon_H1a2 zenon_H173 zenon_H2a zenon_H40 zenon_H11a zenon_Hac zenon_H158 zenon_H48 zenon_H73 zenon_H1b4 zenon_H11f zenon_H15d zenon_H7b zenon_H77 zenon_H53 zenon_H8b zenon_H16a.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.64/22.70 apply (zenon_L378_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.70 apply (zenon_L380_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.70 apply (zenon_L65_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.70 apply (zenon_L184_); trivial.
% 22.64/22.70 apply (zenon_L187_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2481_ *)
% 22.64/22.70 assert (zenon_L2482_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H92 zenon_H1bf zenon_H13e zenon_H15d zenon_H11f zenon_H1b4 zenon_H4d zenon_H73 zenon_H2a zenon_H48 zenon_Hb6 zenon_Ha0 zenon_H16a zenon_H8b zenon_H53 zenon_H77 zenon_Ha9 zenon_H7d zenon_Hac zenon_Hb2 zenon_H68 zenon_H140 zenon_Hbc zenon_H13d zenon_H1d8 zenon_H1fe.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.70 apply (zenon_L13_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.70 apply (zenon_L65_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.70 apply (zenon_L184_); trivial.
% 22.64/22.70 apply (zenon_L187_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.70 apply (zenon_L323_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.70 apply (zenon_L65_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.70 apply (zenon_L184_); trivial.
% 22.64/22.70 apply (zenon_L187_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.70 apply (zenon_L327_); trivial.
% 22.64/22.70 apply (zenon_L329_); trivial.
% 22.64/22.70 apply (zenon_L382_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2482_ *)
% 22.64/22.70 assert (zenon_L2483_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H61 zenon_H11f zenon_Hac.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.70 apply (zenon_L2479_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2483_ *)
% 22.64/22.70 assert (zenon_L2484_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H15d zenon_H4c zenon_H48 zenon_H2a zenon_H66 zenon_H77 zenon_H11f zenon_H1b4.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.70 exact (zenon_H4c zenon_H47).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.70 apply (zenon_L65_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.70 apply (zenon_L94_); trivial.
% 22.64/22.70 apply (zenon_L187_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2484_ *)
% 22.64/22.70 assert (zenon_L2485_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H63 zenon_H48 zenon_H77 zenon_H1b4 zenon_H11f zenon_H15d zenon_H2a.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.64/22.70 exact (zenon_H205 zenon_H2a).
% 22.64/22.70 apply (zenon_L2484_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2485_ *)
% 22.64/22.70 assert (zenon_L2486_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_He4 zenon_H48 zenon_H2a zenon_H40 zenon_H6d zenon_H77 zenon_H11f zenon_H1b7.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.64/22.70 apply (zenon_L65_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.64/22.70 exact (zenon_H40 zenon_H3f).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.64/22.70 apply (zenon_L56_); trivial.
% 22.64/22.70 apply (zenon_L780_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2486_ *)
% 22.64/22.70 assert (zenon_L2487_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3))))))))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H99 zenon_H11f zenon_Hac.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.70 apply (zenon_L2479_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2487_ *)
% 22.64/22.70 assert (zenon_L2488_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H201 zenon_Hb6 zenon_Hfe zenon_H1d4 zenon_H1bf zenon_H11f zenon_H1cb.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.70 apply (zenon_L95_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.70 exact (zenon_H1d4 zenon_H4d).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.70 exact (zenon_H1bf zenon_H105).
% 22.64/22.70 apply (zenon_L846_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2488_ *)
% 22.64/22.70 assert (zenon_L2489_ : (((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 (e1) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H15d zenon_H201 zenon_H1d4 zenon_H1bf zenon_H1cb zenon_H48 zenon_Hf5 zenon_Ha5 zenon_Hb6 zenon_H2a zenon_Ha0 zenon_H1c3 zenon_Ha9 zenon_H196 zenon_H1fb zenon_H25e zenon_H77 zenon_H13a zenon_H11f zenon_H1b4.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.70 apply (zenon_L253_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.70 apply (zenon_L53_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.70 apply (zenon_L2488_); trivial.
% 22.64/22.70 apply (zenon_L262_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.70 apply (zenon_L65_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.70 apply (zenon_L1518_); trivial.
% 22.64/22.70 apply (zenon_L187_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2489_ *)
% 22.64/22.70 assert (zenon_L2490_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((op (e3) (e3)) = (e1)) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H230 zenon_Heb zenon_H20f zenon_H40 zenon_H48 zenon_H158 zenon_H11a zenon_H2a zenon_H173 zenon_H1d8 zenon_H16a zenon_H77 zenon_H15d zenon_H1b4 zenon_H73 zenon_H1a2 zenon_H1cd zenon_Hb6 zenon_Ha9 zenon_H196 zenon_H139 zenon_H1fe zenon_Hbc zenon_H140 zenon_H68 zenon_Hb2 zenon_H7d zenon_Ha0 zenon_H13e zenon_H1bf zenon_H1b7 zenon_He4 zenon_H1c3 zenon_H1fb zenon_H25e zenon_H201 zenon_H1cb zenon_Hf5 zenon_H13a zenon_Hcc zenon_H11f.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H120 | zenon_intro zenon_Hac ].
% 22.64/22.70 exact (zenon_H120 zenon_H11f).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.70 apply (zenon_L2_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.70 apply (zenon_L2475_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.70 apply (zenon_L315_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.70 apply (zenon_L2480_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.70 apply (zenon_L318_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.70 apply (zenon_L11_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.64/22.70 apply (zenon_L2481_); trivial.
% 22.64/22.70 apply (zenon_L2481_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.64/22.70 apply (zenon_L2482_); trivial.
% 22.64/22.70 apply (zenon_L2482_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.70 apply (zenon_L2483_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.70 apply (zenon_L2485_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 22.64/22.70 apply (zenon_L2486_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.70 apply (zenon_L37_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.70 apply (zenon_L2487_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.70 apply (zenon_L387_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.70 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.64/22.70 apply (zenon_L2489_); trivial.
% 22.64/22.70 apply (zenon_L372_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.70 apply (zenon_L388_); trivial.
% 22.64/22.70 apply (zenon_L51_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2490_ *)
% 22.64/22.70 assert (zenon_L2491_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H82 zenon_H4c zenon_H4e zenon_H4d zenon_H55 zenon_H53 zenon_H11f zenon_H18a.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.70 exact (zenon_H4c zenon_H47).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.70 apply (zenon_L14_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.70 apply (zenon_L15_); trivial.
% 22.64/22.70 apply (zenon_L140_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2491_ *)
% 22.64/22.70 assert (zenon_L2492_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (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) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H240 zenon_H23d zenon_H3a zenon_H236 zenon_H3d zenon_H48 zenon_H1f zenon_Hac zenon_H4c zenon_H4e zenon_H55 zenon_H18a zenon_H82 zenon_H129 zenon_H13f zenon_H3c zenon_H11f zenon_Hcc zenon_H13a zenon_Hf5 zenon_H1cb zenon_H201 zenon_H25e zenon_H1fb zenon_H1c3 zenon_He4 zenon_H1b7 zenon_H1bf zenon_H13e zenon_Ha0 zenon_H7d zenon_Hb2 zenon_H68 zenon_H140 zenon_Hbc zenon_H1fe zenon_H139 zenon_H196 zenon_Ha9 zenon_Hb6 zenon_H1cd zenon_H1a2 zenon_H73 zenon_H1b4 zenon_H15d zenon_H77 zenon_H16a zenon_H1d8 zenon_H173 zenon_H11a zenon_H158 zenon_H40 zenon_H20f zenon_Heb zenon_H230 zenon_H23b.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.70 apply (zenon_L487_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.70 exact (zenon_H1f zenon_H1e).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.70 apply (zenon_L2490_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.70 exact (zenon_H237 zenon_H31).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.70 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.70 apply (zenon_L55_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.70 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.70 apply (zenon_L46_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.64/22.70 apply (zenon_L151_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.70 apply (zenon_L95_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.70 apply (zenon_L2491_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.70 exact (zenon_H1bf zenon_H105).
% 22.64/22.70 apply (zenon_L846_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.64/22.70 exact (zenon_H1bf zenon_H105).
% 22.64/22.70 apply (zenon_L85_); trivial.
% 22.64/22.70 apply (zenon_L44_); trivial.
% 22.64/22.70 apply (zenon_L156_); trivial.
% 22.64/22.70 apply (zenon_L1862_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2492_ *)
% 22.64/22.70 assert (zenon_L2493_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e3)) = (e0))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H236 zenon_H1f zenon_H1b4 zenon_H11f zenon_H77 zenon_H48 zenon_H4c zenon_H15d zenon_H68 zenon_H66 zenon_H238.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.70 exact (zenon_H1f zenon_H1e).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.70 apply (zenon_L2484_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.70 apply (zenon_L264_); trivial.
% 22.64/22.70 exact (zenon_H238 zenon_H38).
% 22.64/22.70 (* end of lemma zenon_L2493_ *)
% 22.64/22.70 assert (zenon_L2494_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H23b zenon_H1d5 zenon_H23d zenon_H1f zenon_H15d zenon_H11f zenon_H1b4 zenon_H66 zenon_H77 zenon_H48 zenon_H4c zenon_H68 zenon_H236.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.70 apply (zenon_L2493_); trivial.
% 22.64/22.70 apply (zenon_L601_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2494_ *)
% 22.64/22.70 assert (zenon_L2495_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H63 zenon_H236 zenon_H68 zenon_H4c zenon_H48 zenon_H77 zenon_H1b4 zenon_H11f zenon_H15d zenon_H23d zenon_H1d5.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.70 apply (zenon_L2494_); trivial.
% 22.64/22.70 apply (zenon_L2494_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2495_ *)
% 22.64/22.70 assert (zenon_L2496_ : ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H44 zenon_Hf0 zenon_H6d zenon_H11a zenon_Hac zenon_H158 zenon_H40 zenon_H87 zenon_H77 zenon_H20f zenon_H11f zenon_Heb.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.70 apply (zenon_L2358_); trivial.
% 22.64/22.70 apply (zenon_L385_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2496_ *)
% 22.64/22.70 assert (zenon_L2497_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_Heb zenon_H7a zenon_H40 zenon_H73 zenon_H153 zenon_H11f zenon_H20f.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.70 exact (zenon_H7a zenon_H3c).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.70 exact (zenon_H40 zenon_H3f).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.70 apply (zenon_L184_); trivial.
% 22.64/22.70 apply (zenon_L412_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2497_ *)
% 22.64/22.70 assert (zenon_L2498_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H201 zenon_H66 zenon_H77 zenon_H1d4 zenon_H1bf zenon_H11f zenon_H1cb.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.70 apply (zenon_L94_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.70 exact (zenon_H1d4 zenon_H4d).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.70 exact (zenon_H1bf zenon_H105).
% 22.64/22.70 apply (zenon_L846_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2498_ *)
% 22.64/22.70 assert (zenon_L2499_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H13a zenon_Hf6 zenon_H3d zenon_H1cb zenon_H11f zenon_H1bf zenon_H1d4 zenon_Hb6 zenon_H201 zenon_Ha5 zenon_Hf5.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.70 apply (zenon_L673_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.70 apply (zenon_L55_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.70 apply (zenon_L2488_); trivial.
% 22.64/22.70 apply (zenon_L262_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2499_ *)
% 22.64/22.70 assert (zenon_L2500_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H13a zenon_Hf6 zenon_H11f zenon_Hb6 zenon_H3d zenon_Ha0 zenon_H31 zenon_Ha5 zenon_Hf5.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.70 apply (zenon_L673_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.70 apply (zenon_L55_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.70 apply (zenon_L68_); trivial.
% 22.64/22.70 apply (zenon_L262_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2500_ *)
% 22.64/22.70 assert (zenon_L2501_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H169 zenon_He3 zenon_H11a zenon_Hac zenon_H158 zenon_H48 zenon_H25 zenon_H40 zenon_H20f zenon_H11f zenon_Heb.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.64/22.70 apply (zenon_L2474_); trivial.
% 22.64/22.70 apply (zenon_L373_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2501_ *)
% 22.64/22.70 assert (zenon_L2502_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H201 zenon_H1b7 zenon_H48 zenon_Hdd zenon_H40 zenon_H1d8 zenon_He4 zenon_H1d4 zenon_H1bf zenon_H11f zenon_H1cb.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.70 apply (zenon_L1600_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.70 exact (zenon_H1d4 zenon_H4d).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.70 exact (zenon_H1bf zenon_H105).
% 22.64/22.70 apply (zenon_L846_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2502_ *)
% 22.64/22.70 assert (zenon_L2503_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H13a zenon_H34 zenon_H7d zenon_H1b7 zenon_H48 zenon_H40 zenon_H1d8 zenon_He4 zenon_He3 zenon_H1c3 zenon_Ha9 zenon_H196 zenon_H1b4 zenon_H1fb zenon_H25e zenon_H77 zenon_He2 zenon_H3d zenon_H1cb zenon_H11f zenon_H1bf zenon_H1d4 zenon_Hb6 zenon_H201 zenon_Ha5 zenon_Hf5.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.64/22.70 apply (zenon_L1517_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.64/22.70 exact (zenon_He3 zenon_He7).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.64/22.70 apply (zenon_L2502_); trivial.
% 22.64/22.70 apply (zenon_L802_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.70 apply (zenon_L55_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.70 apply (zenon_L2488_); trivial.
% 22.64/22.70 apply (zenon_L262_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2503_ *)
% 22.64/22.70 assert (zenon_L2504_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H13a zenon_Hac zenon_He4 zenon_H77 zenon_H40 zenon_H48 zenon_H1b7 zenon_He3 zenon_H1c3 zenon_Hf5 zenon_Ha5 zenon_H196 zenon_H1b4 zenon_H1fb zenon_H25e zenon_He2 zenon_Ha9 zenon_H6e zenon_H1cb zenon_H11f zenon_H1bf zenon_H1d4 zenon_Hb6 zenon_H201 zenon_H38 zenon_Ha0.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.64/22.70 apply (zenon_L1517_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.64/22.70 exact (zenon_He3 zenon_He7).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.64/22.70 apply (zenon_L214_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.64/22.70 exact (zenon_H40 zenon_H3f).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.64/22.70 apply (zenon_L111_); trivial.
% 22.64/22.70 apply (zenon_L780_); trivial.
% 22.64/22.70 apply (zenon_L107_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.70 apply (zenon_L110_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.70 apply (zenon_L2488_); trivial.
% 22.64/22.70 apply (zenon_L156_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2504_ *)
% 22.64/22.70 assert (zenon_L2505_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 22.64/22.70 do 0 intro. intros zenon_He2 zenon_H77 zenon_H25e zenon_H1fb zenon_H1b4 zenon_H196 zenon_Ha5 zenon_Hf5 zenon_Ha9 zenon_H9f zenon_H1c3 zenon_He3 zenon_H1b7 zenon_H11f zenon_H48 zenon_H40 zenon_H153 zenon_H1d8 zenon_He4 zenon_H7d zenon_H34.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.64/22.70 apply (zenon_L1517_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.64/22.70 exact (zenon_He3 zenon_He7).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.64/22.70 apply (zenon_L1600_); trivial.
% 22.64/22.70 apply (zenon_L802_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2505_ *)
% 22.64/22.70 assert (zenon_L2506_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((op (e3) (e3)) = (e1)) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H290 zenon_Hf0 zenon_H230 zenon_Heb zenon_H20f zenon_H48 zenon_H158 zenon_H11a zenon_H2a zenon_H173 zenon_H1d8 zenon_H16a zenon_H77 zenon_H15d zenon_H1b4 zenon_H73 zenon_H1a2 zenon_H1cd zenon_Hb6 zenon_Ha9 zenon_H196 zenon_H139 zenon_H1fe zenon_Hbc zenon_H140 zenon_H68 zenon_Hb2 zenon_H7d zenon_Ha0 zenon_H13e zenon_H1b7 zenon_He4 zenon_H1c3 zenon_H1fb zenon_H25e zenon_H201 zenon_H1cb zenon_Hf5 zenon_H13a zenon_Hcc zenon_H11f zenon_H264.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H1bf | zenon_intro zenon_H6d ].
% 22.64/22.70 apply (zenon_L2490_); trivial.
% 22.64/22.70 apply (zenon_L2486_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H120 | zenon_intro zenon_Hac ].
% 22.64/22.70 exact (zenon_H120 zenon_H11f).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.70 apply (zenon_L2_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.70 apply (zenon_L482_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.70 apply (zenon_L315_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.70 apply (zenon_L2480_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.70 apply (zenon_L318_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.70 apply (zenon_L11_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.70 apply (zenon_L483_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.70 apply (zenon_L2483_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.70 apply (zenon_L2485_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.70 apply (zenon_L522_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.70 apply (zenon_L37_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.70 apply (zenon_L2487_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.70 apply (zenon_L387_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.70 apply (zenon_L531_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.70 apply (zenon_L388_); trivial.
% 22.64/22.70 apply (zenon_L51_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2506_ *)
% 22.64/22.70 assert (zenon_L2507_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((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) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H13a zenon_Ha4 zenon_H3d zenon_H11f zenon_H77 zenon_H6d zenon_H189 zenon_Ha9 zenon_H68 zenon_H1c3 zenon_H73 zenon_Hac zenon_H11a zenon_H3c zenon_Hb6 zenon_H13c zenon_H38 zenon_Ha0.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.70 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.70 apply (zenon_L55_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.70 apply (zenon_L46_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.70 apply (zenon_L79_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.70 apply (zenon_L89_); trivial.
% 22.64/22.70 apply (zenon_L925_); trivial.
% 22.64/22.70 apply (zenon_L156_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2507_ *)
% 22.64/22.70 assert (zenon_L2508_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> ((op (e1) (e0)) = (e1)) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((op (e3) (e3)) = (e1)) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (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) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H240 zenon_H6f zenon_H23d zenon_H4c zenon_H236 zenon_H3d zenon_H48 zenon_H1f zenon_H13c zenon_H189 zenon_H6d zenon_Hac zenon_H3c zenon_H264 zenon_H11f zenon_Hcc zenon_H13a zenon_Hf5 zenon_H1cb zenon_H201 zenon_H25e zenon_H1fb zenon_H1c3 zenon_He4 zenon_H1b7 zenon_H13e zenon_Ha0 zenon_H7d zenon_Hb2 zenon_H68 zenon_H140 zenon_Hbc zenon_H1fe zenon_H139 zenon_H196 zenon_Ha9 zenon_Hb6 zenon_H1cd zenon_H1a2 zenon_H73 zenon_H1b4 zenon_H15d zenon_H77 zenon_H16a zenon_H1d8 zenon_H173 zenon_H11a zenon_H158 zenon_H20f zenon_Heb zenon_H230 zenon_Hf0 zenon_H290 zenon_H23b.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.70 apply (zenon_L487_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.70 exact (zenon_H1f zenon_H1e).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.70 apply (zenon_L2506_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.70 exact (zenon_H237 zenon_H31).
% 22.64/22.70 apply (zenon_L2507_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.70 exact (zenon_H1f zenon_H1e).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.70 apply (zenon_L65_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.70 exact (zenon_H6c zenon_H67).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.70 apply (zenon_L21_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.70 apply (zenon_L264_); trivial.
% 22.64/22.70 apply (zenon_L1859_); trivial.
% 22.64/22.70 exact (zenon_H238 zenon_H38).
% 22.64/22.70 apply (zenon_L1861_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2508_ *)
% 22.64/22.70 assert (zenon_L2509_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((op (e3) (e3)) = (e1)) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((op (e3) (e1)) = (e3)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H3a zenon_H290 zenon_Hf0 zenon_H230 zenon_Heb zenon_H20f zenon_H158 zenon_H11a zenon_H173 zenon_H1d8 zenon_H16a zenon_H77 zenon_H15d zenon_H1b4 zenon_H73 zenon_H1a2 zenon_H1cd zenon_Hb6 zenon_Ha9 zenon_H196 zenon_H139 zenon_H1fe zenon_Hbc zenon_H140 zenon_H68 zenon_Hb2 zenon_H7d zenon_Ha0 zenon_H13e zenon_H1b7 zenon_He4 zenon_H1c3 zenon_H1fb zenon_H25e zenon_H201 zenon_H1cb zenon_Hf5 zenon_H13a zenon_Hcc zenon_H11f zenon_H264 zenon_Hac zenon_H6d zenon_H189 zenon_H13c zenon_H48 zenon_H236 zenon_H4c zenon_H23d zenon_H6f.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.70 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.70 apply (zenon_L2508_); trivial.
% 22.64/22.70 apply (zenon_L2508_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2509_ *)
% 22.64/22.70 assert (zenon_L2510_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_He4 zenon_Hb6 zenon_Hdb zenon_H40 zenon_H55 zenon_H54 zenon_H11f zenon_H1b7.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.64/22.70 apply (zenon_L55_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.64/22.70 exact (zenon_H40 zenon_H3f).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.64/22.70 apply (zenon_L15_); trivial.
% 22.64/22.70 apply (zenon_L780_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2510_ *)
% 22.64/22.70 assert (zenon_L2511_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_Hb2 zenon_Hf6 zenon_H11f zenon_H5d zenon_Ha5 zenon_Hb6 zenon_H54 zenon_Hac zenon_H7d.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.70 apply (zenon_L673_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.70 apply (zenon_L42_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.70 apply (zenon_L151_); trivial.
% 22.64/22.70 apply (zenon_L44_); trivial.
% 22.64/22.70 (* end of lemma zenon_L2511_ *)
% 22.64/22.70 assert (zenon_L2512_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.64/22.70 do 0 intro. intros zenon_H82 zenon_H4c zenon_H7a zenon_H7d zenon_Hac zenon_Hb6 zenon_Ha5 zenon_H5d zenon_Hb2 zenon_H13a zenon_H68 zenon_H6d zenon_H189 zenon_H1c3 zenon_H77 zenon_Ha0 zenon_H19a zenon_H1b7 zenon_H55 zenon_H40 zenon_He4 zenon_Ha9 zenon_Hf5 zenon_H6f zenon_H1e zenon_H139 zenon_H11f zenon_H18a.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.70 exact (zenon_H4c zenon_H47).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.70 exact (zenon_H7a zenon_H3c).
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.70 apply (zenon_L20_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.70 apply (zenon_L21_); trivial.
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.70 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.70 apply (zenon_L927_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.71 apply (zenon_L2510_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.71 apply (zenon_L193_); trivial.
% 22.64/22.71 apply (zenon_L262_); trivial.
% 22.64/22.71 apply (zenon_L2511_); trivial.
% 22.64/22.71 apply (zenon_L140_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2512_ *)
% 22.64/22.71 assert (zenon_L2513_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H15d zenon_H4c zenon_Hf5 zenon_Ha5 zenon_Ha0 zenon_Hb6 zenon_H19a zenon_H26d zenon_H77 zenon_H1c3 zenon_Ha9 zenon_H189 zenon_H6d zenon_H68 zenon_H13a zenon_H48 zenon_H31 zenon_H11f zenon_H1b4.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.71 exact (zenon_H4c zenon_H47).
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.64/22.71 apply (zenon_L756_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.64/22.71 apply (zenon_L90_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.64/22.71 apply (zenon_L885_); trivial.
% 22.64/22.71 apply (zenon_L926_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.71 apply (zenon_L55_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.71 apply (zenon_L68_); trivial.
% 22.64/22.71 apply (zenon_L262_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.71 apply (zenon_L239_); trivial.
% 22.64/22.71 apply (zenon_L187_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2513_ *)
% 22.64/22.71 assert (zenon_L2514_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H201 zenon_H48 zenon_H31 zenon_H156 zenon_H3f zenon_H1bf zenon_H11f zenon_H1cb.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.71 apply (zenon_L239_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.71 apply (zenon_L486_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.71 exact (zenon_H1bf zenon_H105).
% 22.64/22.71 apply (zenon_L846_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2514_ *)
% 22.64/22.71 assert (zenon_L2515_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H236 zenon_H1f zenon_H3d zenon_H1cb zenon_H11f zenon_H1bf zenon_H3f zenon_H156 zenon_H48 zenon_H201 zenon_H238.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.71 exact (zenon_H1f zenon_H1e).
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.71 apply (zenon_L65_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.71 apply (zenon_L2514_); trivial.
% 22.64/22.71 exact (zenon_H238 zenon_H38).
% 22.64/22.71 (* end of lemma zenon_L2515_ *)
% 22.64/22.71 assert (zenon_L2516_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (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 (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (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) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H240 zenon_H23d zenon_H4c zenon_H236 zenon_H156 zenon_H3f zenon_H1bf zenon_H1cb zenon_H11f zenon_H201 zenon_H3d zenon_H48 zenon_H1f zenon_H264 zenon_Hcc zenon_H13a zenon_Hf5 zenon_H25e zenon_H1fb zenon_H1c3 zenon_He4 zenon_H1b7 zenon_H13e zenon_Ha0 zenon_H7d zenon_Hb2 zenon_H68 zenon_H140 zenon_Hbc zenon_H1fe zenon_H139 zenon_H196 zenon_Ha9 zenon_Hb6 zenon_H1cd zenon_H1a2 zenon_H73 zenon_H1b4 zenon_H15d zenon_H77 zenon_H16a zenon_H1d8 zenon_H173 zenon_H11a zenon_H158 zenon_H20f zenon_Heb zenon_H230 zenon_Hf0 zenon_H290 zenon_H23b.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.71 apply (zenon_L2515_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.71 exact (zenon_H1f zenon_H1e).
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.71 apply (zenon_L2506_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.71 exact (zenon_H237 zenon_H31).
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.71 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.71 apply (zenon_L55_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.71 apply (zenon_L95_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.71 apply (zenon_L486_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.71 exact (zenon_H1bf zenon_H105).
% 22.64/22.71 apply (zenon_L846_); trivial.
% 22.64/22.71 apply (zenon_L156_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.71 apply (zenon_L2515_); trivial.
% 22.64/22.71 apply (zenon_L1861_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2516_ *)
% 22.64/22.71 assert (zenon_L2517_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H164 zenon_H25 zenon_H179 zenon_H2a zenon_H192 zenon_Hbb zenon_Ha0 zenon_H68 zenon_H17c.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.64/22.71 apply (zenon_L297_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.64/22.71 apply (zenon_L292_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.64/22.71 apply (zenon_L80_); trivial.
% 22.64/22.71 apply (zenon_L295_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2517_ *)
% 22.64/22.71 assert (zenon_L2518_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H28 zenon_H164 zenon_H179 zenon_H192 zenon_Hbb zenon_Ha0 zenon_H68 zenon_H17c.
% 22.64/22.71 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 22.64/22.71 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 22.64/22.71 apply (zenon_L2517_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2518_ *)
% 22.64/22.71 assert (zenon_L2519_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H16a zenon_H68 zenon_H2d zenon_H1ba zenon_H8b zenon_H17c zenon_H129.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.64/22.71 apply (zenon_L27_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.64/22.71 exact (zenon_H1ba zenon_H6d).
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.64/22.71 exact (zenon_H8b zenon_H8a).
% 22.64/22.71 apply (zenon_L126_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2519_ *)
% 22.64/22.71 assert (zenon_L2520_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H2f zenon_H48 zenon_H1cf zenon_H1cb zenon_H77 zenon_Hb6 zenon_Hbb zenon_H201 zenon_H68 zenon_H8b zenon_H129 zenon_H17c zenon_H16a.
% 22.64/22.71 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.64/22.71 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 22.64/22.71 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.71 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.71 apply (zenon_L2519_); trivial.
% 22.64/22.71 apply (zenon_L1916_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2520_ *)
% 22.64/22.71 assert (zenon_L2521_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H2f zenon_H48 zenon_H1cf zenon_H1cb zenon_H77 zenon_Hb6 zenon_Hbb zenon_H201 zenon_H68 zenon_H8b zenon_H129 zenon_H17c zenon_H16a.
% 22.64/22.71 apply (zenon_L2520_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2521_ *)
% 22.64/22.71 assert (zenon_L2522_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H25e zenon_H115 zenon_H66 zenon_Ha9 zenon_H2a zenon_Ha0 zenon_H13a zenon_H1b4 zenon_H17c zenon_Hb9 zenon_H196.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H38 | zenon_intro zenon_H25f ].
% 22.64/22.71 apply (zenon_L1162_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H155 | zenon_intro zenon_H260 ].
% 22.64/22.71 apply (zenon_L494_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H9e ].
% 22.64/22.71 apply (zenon_L347_); trivial.
% 22.64/22.71 apply (zenon_L154_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2522_ *)
% 22.64/22.71 assert (zenon_L2523_ : ((op (e3) (e3)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H17c zenon_H68 zenon_H25e zenon_H13a zenon_H1b4 zenon_Hf5 zenon_H1fb zenon_H19a zenon_Ha0 zenon_H2a zenon_Ha9 zenon_H66 zenon_Hb9 zenon_H196.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.64/22.71 apply (zenon_L316_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.64/22.71 apply (zenon_L665_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.64/22.71 apply (zenon_L2522_); trivial.
% 22.64/22.71 apply (zenon_L295_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.71 apply (zenon_L53_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.71 apply (zenon_L193_); trivial.
% 22.64/22.71 apply (zenon_L154_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2523_ *)
% 22.64/22.71 assert (zenon_L2524_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H1cf zenon_H196 zenon_Hb9 zenon_Ha9 zenon_H2a zenon_Ha0 zenon_H19a zenon_H1fb zenon_Hf5 zenon_H1b4 zenon_H13a zenon_H25e zenon_H68 zenon_H4e zenon_H76 zenon_H8b zenon_H17c zenon_H1cb.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.64/22.71 apply (zenon_L2523_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.64/22.71 apply (zenon_L83_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.64/22.71 exact (zenon_H8b zenon_H8a).
% 22.64/22.71 apply (zenon_L236_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2524_ *)
% 22.64/22.71 assert (zenon_L2525_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (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) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H13b zenon_H48 zenon_H3c zenon_H173 zenon_H20f zenon_H68 zenon_H1b3 zenon_H1cf zenon_Ha9 zenon_H2a zenon_Ha0 zenon_H19a zenon_H1fb zenon_H13a zenon_H4e zenon_H8b zenon_H1cb zenon_Hfa zenon_H25e zenon_Hf5 zenon_H9f zenon_H1b4 zenon_H17c zenon_Hb9 zenon_H196.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.71 apply (zenon_L25_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.71 apply (zenon_L272_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.71 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.71 apply (zenon_L2524_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.71 exact (zenon_H1b3 zenon_Hef).
% 22.64/22.71 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.71 apply (zenon_L62_); trivial.
% 22.64/22.71 apply (zenon_L570_); trivial.
% 22.64/22.71 apply (zenon_L665_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2525_ *)
% 22.64/22.71 assert (zenon_L2526_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H117 zenon_Ha0 zenon_H2d zenon_Ha9 zenon_H6d zenon_H104 zenon_Hbb zenon_H9e zenon_H196.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.64/22.71 apply (zenon_L67_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.64/22.71 apply (zenon_L289_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.64/22.71 apply (zenon_L129_); trivial.
% 22.64/22.71 apply (zenon_L154_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2526_ *)
% 22.64/22.71 assert (zenon_L2527_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H12e zenon_H48 zenon_H34 zenon_H3d zenon_H192 zenon_Hbb zenon_Hb6 zenon_H77 zenon_H17c.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H7e | zenon_intro zenon_H12f ].
% 22.64/22.71 apply (zenon_L456_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H7f | zenon_intro zenon_H130 ].
% 22.64/22.71 apply (zenon_L146_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 22.64/22.71 apply (zenon_L363_); trivial.
% 22.64/22.71 apply (zenon_L884_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2527_ *)
% 22.64/22.71 assert (zenon_L2528_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H240 zenon_H77 zenon_H3d zenon_H68 zenon_H1b4 zenon_H17c zenon_H139 zenon_H31.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.64/22.71 exact (zenon_H237 zenon_H31).
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.71 exact (zenon_H6c zenon_H67).
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.71 apply (zenon_L214_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.71 apply (zenon_L264_); trivial.
% 22.64/22.71 apply (zenon_L347_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2528_ *)
% 22.64/22.71 assert (zenon_L2529_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (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) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e0) (e3)) = (e0))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H236 zenon_Hb6 zenon_Hbb zenon_H192 zenon_H48 zenon_H12e zenon_H13b zenon_H3c zenon_H173 zenon_H20f zenon_H1cf zenon_H19a zenon_H1fb zenon_H13a zenon_H4e zenon_H8b zenon_H1cb zenon_Hfa zenon_H25e zenon_Hf5 zenon_H177 zenon_H1a8 zenon_H1b3 zenon_H196 zenon_H104 zenon_Ha9 zenon_Ha0 zenon_H117 zenon_H1b7 zenon_H164 zenon_H179 zenon_H1f zenon_H1fe zenon_H139 zenon_H17c zenon_H1b4 zenon_H68 zenon_H3d zenon_H77 zenon_H240 zenon_H238.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.71 exact (zenon_H1f zenon_H1e).
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.71 exact (zenon_H1f zenon_H1e).
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.71 apply (zenon_L2517_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.71 apply (zenon_L214_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.71 exact (zenon_H1b3 zenon_Hef).
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.64/22.71 apply (zenon_L67_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.64/22.71 apply (zenon_L289_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.64/22.71 apply (zenon_L129_); trivial.
% 22.64/22.71 apply (zenon_L2525_); trivial.
% 22.64/22.71 apply (zenon_L188_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.71 apply (zenon_L53_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.71 apply (zenon_L178_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.71 apply (zenon_L214_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.71 exact (zenon_H1b3 zenon_Hef).
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.71 apply (zenon_L2526_); trivial.
% 22.64/22.71 apply (zenon_L188_); trivial.
% 22.64/22.71 apply (zenon_L2527_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.71 apply (zenon_L2528_); trivial.
% 22.64/22.71 exact (zenon_H238 zenon_H38).
% 22.64/22.71 (* end of lemma zenon_L2529_ *)
% 22.64/22.71 assert (zenon_L2530_ : (((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)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H15d zenon_H1b4 zenon_H17c zenon_H68 zenon_H6f zenon_H139 zenon_H1cd zenon_Hbb zenon_H6d zenon_Ha9 zenon_H159 zenon_Hb6 zenon_H1c6 zenon_H48 zenon_H31 zenon_Heb zenon_H7a zenon_H40 zenon_H77 zenon_H87 zenon_Hf5.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.71 apply (zenon_L251_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.71 apply (zenon_L21_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.71 apply (zenon_L264_); trivial.
% 22.64/22.71 apply (zenon_L347_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.71 apply (zenon_L1111_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.71 apply (zenon_L239_); trivial.
% 22.64/22.71 apply (zenon_L1082_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2530_ *)
% 22.64/22.71 assert (zenon_L2531_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H15c zenon_H139 zenon_H17c zenon_H1b4 zenon_H31 zenon_H68 zenon_H6d zenon_H6f zenon_H1c6 zenon_Hbb zenon_H1cd zenon_Ha9 zenon_Hb6 zenon_H48 zenon_Hf5 zenon_H15d zenon_H7a zenon_H40 zenon_H87 zenon_H77 zenon_Heb.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.64/22.71 apply (zenon_L344_); trivial.
% 22.64/22.71 apply (zenon_L2530_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2531_ *)
% 22.64/22.71 assert (zenon_L2532_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_Hb2 zenon_H155 zenon_H17c zenon_Hec zenon_H72 zenon_H77 zenon_H40 zenon_Hb6 zenon_Heb zenon_Ha0 zenon_H2d zenon_Hbb zenon_Hbc.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.71 apply (zenon_L444_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.71 apply (zenon_L66_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.71 apply (zenon_L67_); trivial.
% 22.64/22.71 apply (zenon_L48_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2532_ *)
% 22.64/22.71 assert (zenon_L2533_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H19a zenon_H26d zenon_H31 zenon_H9f zenon_Hf5 zenon_H196 zenon_Hb9 zenon_H1b4 zenon_Hb2 zenon_Hec zenon_H72 zenon_H77 zenon_H40 zenon_Hb6 zenon_Heb zenon_Ha0 zenon_H2d zenon_Hbb zenon_Hbc zenon_H25e zenon_H68 zenon_H17c.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.64/22.71 apply (zenon_L756_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.64/22.71 apply (zenon_L665_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H38 | zenon_intro zenon_H25f ].
% 22.64/22.71 apply (zenon_L1162_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H155 | zenon_intro zenon_H260 ].
% 22.64/22.71 apply (zenon_L2532_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H9e ].
% 22.64/22.71 apply (zenon_L347_); trivial.
% 22.64/22.71 apply (zenon_L154_); trivial.
% 22.64/22.71 apply (zenon_L295_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2533_ *)
% 22.64/22.71 assert (zenon_L2534_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H117 zenon_Ha9 zenon_H6d zenon_H104 zenon_H19a zenon_H26d zenon_H31 zenon_H9f zenon_Hf5 zenon_H196 zenon_H1b4 zenon_Hb2 zenon_Hec zenon_H72 zenon_H77 zenon_H40 zenon_Hb6 zenon_Heb zenon_Ha0 zenon_H2d zenon_Hbb zenon_Hbc zenon_H25e zenon_H68 zenon_H17c.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.64/22.71 apply (zenon_L67_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.64/22.71 apply (zenon_L289_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.64/22.71 apply (zenon_L129_); trivial.
% 22.64/22.71 apply (zenon_L2533_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2534_ *)
% 22.64/22.71 assert (zenon_L2535_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H1fe zenon_H6f zenon_H139 zenon_H48 zenon_Hbc zenon_Hbb zenon_Ha0 zenon_Heb zenon_Hb6 zenon_H40 zenon_H77 zenon_H72 zenon_Hec zenon_H117 zenon_Ha9 zenon_H104 zenon_H19a zenon_H26d zenon_Hf5 zenon_H196 zenon_H1b4 zenon_Hb2 zenon_H25e zenon_H17c zenon_He2 zenon_H1d8 zenon_H31 zenon_He3 zenon_H6d zenon_H68 zenon_H7d.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.71 apply (zenon_L20_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.71 apply (zenon_L21_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.71 apply (zenon_L264_); trivial.
% 22.64/22.71 apply (zenon_L347_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.71 apply (zenon_L60_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.71 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.71 apply (zenon_L2534_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.71 apply (zenon_L66_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.71 apply (zenon_L67_); trivial.
% 22.64/22.71 apply (zenon_L48_); trivial.
% 22.64/22.71 apply (zenon_L1087_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2535_ *)
% 22.64/22.71 assert (zenon_L2536_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H15c zenon_H158 zenon_H156 zenon_H3e zenon_H139 zenon_H17c zenon_H1b4 zenon_H31 zenon_H6d zenon_H6f zenon_H68 zenon_Heb zenon_H72 zenon_H77 zenon_H40 zenon_H48 zenon_Ha0 zenon_Ha9 zenon_H104 zenon_Hbb zenon_H19a zenon_Hb2 zenon_Hbc zenon_Hb6 zenon_Hf5 zenon_H196 zenon_H25e zenon_H26d zenon_H117 zenon_He2 zenon_H7d zenon_He3 zenon_H1d8 zenon_H1fe.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.64/22.71 apply (zenon_L2535_); trivial.
% 22.64/22.71 apply (zenon_L102_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2536_ *)
% 22.64/22.71 assert (zenon_L2537_ : ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (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 (e0) (e2)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H44 zenon_H158 zenon_H156 zenon_H72 zenon_Ha0 zenon_H104 zenon_H19a zenon_Hb2 zenon_Hbc zenon_H196 zenon_H25e zenon_H26d zenon_H117 zenon_He2 zenon_H7d zenon_H1d8 zenon_H1fe zenon_H15c zenon_H139 zenon_H17c zenon_H1b4 zenon_H31 zenon_H68 zenon_H6d zenon_H6f zenon_H1c6 zenon_Hbb zenon_H1cd zenon_Ha9 zenon_Hb6 zenon_H48 zenon_Hf5 zenon_H15d zenon_H87 zenon_H77 zenon_Heb zenon_H3e.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.71 apply (zenon_L2531_); trivial.
% 22.64/22.71 apply (zenon_L2531_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.71 apply (zenon_L2536_); trivial.
% 22.64/22.71 apply (zenon_L2536_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2537_ *)
% 22.64/22.71 assert (zenon_L2538_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H13a zenon_H155 zenon_H17c zenon_Ha9 zenon_H6e zenon_Ha0 zenon_H31 zenon_Hb9 zenon_H196.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.71 apply (zenon_L444_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.71 apply (zenon_L110_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.71 apply (zenon_L68_); trivial.
% 22.64/22.71 apply (zenon_L154_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2538_ *)
% 22.64/22.71 assert (zenon_L2539_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H25e zenon_H136 zenon_Hf5 zenon_H31 zenon_Ha0 zenon_H6e zenon_Ha9 zenon_H13a zenon_H1b4 zenon_H17c zenon_Hb9 zenon_H196.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H38 | zenon_intro zenon_H25f ].
% 22.64/22.71 apply (zenon_L663_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H155 | zenon_intro zenon_H260 ].
% 22.64/22.71 apply (zenon_L2538_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H9e ].
% 22.64/22.71 apply (zenon_L347_); trivial.
% 22.64/22.71 apply (zenon_L154_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2539_ *)
% 22.64/22.71 assert (zenon_L2540_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H25e zenon_H115 zenon_H31 zenon_Ha0 zenon_H6e zenon_Ha9 zenon_H13a zenon_H1b4 zenon_H17c zenon_Hb9 zenon_H196.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H38 | zenon_intro zenon_H25f ].
% 22.64/22.71 apply (zenon_L1162_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H155 | zenon_intro zenon_H260 ].
% 22.64/22.71 apply (zenon_L2538_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H9e ].
% 22.64/22.71 apply (zenon_L347_); trivial.
% 22.64/22.71 apply (zenon_L154_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2540_ *)
% 22.64/22.71 assert (zenon_L2541_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H19a zenon_H26d zenon_Hf5 zenon_H196 zenon_Hb9 zenon_H1b4 zenon_H13a zenon_Ha9 zenon_H6e zenon_Ha0 zenon_H31 zenon_H25e zenon_H68 zenon_H17c.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.64/22.71 apply (zenon_L756_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.64/22.71 apply (zenon_L2539_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.64/22.71 apply (zenon_L2540_); trivial.
% 22.64/22.71 apply (zenon_L295_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2541_ *)
% 22.64/22.71 assert (zenon_L2542_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.64/22.71 do 0 intro. intros zenon_H1a8 zenon_H68 zenon_H25e zenon_H31 zenon_Ha0 zenon_Ha9 zenon_H13a zenon_H1b4 zenon_Hb9 zenon_H196 zenon_Hf5 zenon_H26d zenon_H19a zenon_H1b3 zenon_H1ba zenon_H17c zenon_H1b7.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.71 apply (zenon_L2541_); trivial.
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.71 exact (zenon_H1b3 zenon_Hef).
% 22.64/22.71 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.71 exact (zenon_H1ba zenon_H6d).
% 22.64/22.71 apply (zenon_L188_); trivial.
% 22.64/22.71 (* end of lemma zenon_L2542_ *)
% 22.64/22.71 assert (zenon_L2543_ : ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H31 zenon_H1d8 zenon_H16a zenon_H129 zenon_H8b zenon_H68 zenon_H201 zenon_Hb6 zenon_H77 zenon_H1cb zenon_H1cf zenon_H48 zenon_H139 zenon_H1b4 zenon_H271 zenon_H111 zenon_Hbc zenon_H1cd zenon_Hcc zenon_H270 zenon_Heb zenon_H15d zenon_Hf5 zenon_Ha9 zenon_H1c6 zenon_H6f zenon_H1fe zenon_H7d zenon_He2 zenon_H117 zenon_H26d zenon_H25e zenon_H196 zenon_Hb2 zenon_H19a zenon_H104 zenon_Ha0 zenon_H156 zenon_H158 zenon_H1a8 zenon_H1b7 zenon_H1b3 zenon_H13a zenon_H17c.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H181 | zenon_intro zenon_Hbb ].
% 22.64/22.72 exact (zenon_H181 zenon_H17c).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.72 apply (zenon_L2_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.72 apply (zenon_L700_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.72 apply (zenon_L2520_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.72 apply (zenon_L784_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.72 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.64/22.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.64/22.72 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.72 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.72 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.72 apply (zenon_L2528_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.72 apply (zenon_L11_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.72 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 22.64/22.72 apply (zenon_L793_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.72 apply (zenon_L788_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.72 apply (zenon_L814_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.72 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 22.64/22.72 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 22.64/22.72 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.72 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.72 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.72 apply (zenon_L2537_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.72 apply (zenon_L37_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.72 apply (zenon_L790_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.72 apply (zenon_L791_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.72 apply (zenon_L361_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.72 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.64/22.72 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.64/22.72 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.72 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.72 apply (zenon_L2542_); trivial.
% 22.64/22.72 apply (zenon_L1916_); trivial.
% 22.64/22.72 apply (zenon_L51_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2543_ *)
% 22.64/22.72 assert (zenon_L2544_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((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 (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H204 zenon_H23d zenon_H236 zenon_H139 zenon_H240 zenon_H164 zenon_H17c zenon_H68 zenon_Hbb zenon_Ha0 zenon_H192 zenon_H179 zenon_H177 zenon_H77 zenon_H3d zenon_H1b3 zenon_H117 zenon_H48 zenon_H3c zenon_H173 zenon_Hfa zenon_H20f zenon_H1fb zenon_H25e zenon_H196 zenon_H1b4 zenon_Hf5 zenon_H13a zenon_H19a zenon_H4e zenon_H8b zenon_H1cb zenon_H1cf zenon_H13b zenon_H104 zenon_Ha9 zenon_H1b7 zenon_H1a8 zenon_H12e zenon_Hb6 zenon_H1fe zenon_H1f zenon_H6c zenon_H158 zenon_H156 zenon_Hb2 zenon_H26d zenon_He2 zenon_H7d zenon_H6f zenon_H1c6 zenon_H15d zenon_Heb zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H271 zenon_H201 zenon_H129 zenon_H16a zenon_H1d8 zenon_H23b.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.72 apply (zenon_L2529_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.72 exact (zenon_H1f zenon_H1e).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.72 exact (zenon_H205 zenon_H2a).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.72 apply (zenon_L2543_); trivial.
% 22.64/22.72 apply (zenon_L1857_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.72 apply (zenon_L2529_); trivial.
% 22.64/22.72 apply (zenon_L1861_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2544_ *)
% 22.64/22.72 assert (zenon_L2545_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H139 zenon_H6c zenon_H77 zenon_H3d zenon_H196 zenon_Hb9 zenon_Ha9 zenon_H2a zenon_Ha0 zenon_H19a zenon_H1fb zenon_Hf5 zenon_H13a zenon_H25e zenon_H68 zenon_H17c zenon_H1b4.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.72 exact (zenon_H6c zenon_H67).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.72 apply (zenon_L214_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.72 apply (zenon_L2523_); trivial.
% 22.64/22.72 apply (zenon_L347_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2545_ *)
% 22.64/22.72 assert (zenon_L2546_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((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))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H117 zenon_H65 zenon_H6d zenon_H104 zenon_Hbb zenon_H139 zenon_H6c zenon_H77 zenon_H3d zenon_H196 zenon_Ha9 zenon_H2a zenon_Ha0 zenon_H19a zenon_H1fb zenon_Hf5 zenon_H13a zenon_H25e zenon_H68 zenon_H17c zenon_H1b4.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.64/22.72 apply (zenon_L43_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.64/22.72 apply (zenon_L289_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.64/22.72 apply (zenon_L129_); trivial.
% 22.64/22.72 apply (zenon_L2545_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2546_ *)
% 22.64/22.72 assert (zenon_L2547_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_Hb2 zenon_H155 zenon_H17c zenon_Hb6 zenon_H3c zenon_Ha9 zenon_H65 zenon_Hbb zenon_Hbc.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.72 apply (zenon_L444_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.72 apply (zenon_L46_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.72 apply (zenon_L43_); trivial.
% 22.64/22.72 apply (zenon_L48_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2547_ *)
% 22.64/22.72 assert (zenon_L2548_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H82 zenon_H4c zenon_Hbc zenon_Hbb zenon_Ha9 zenon_Hb6 zenon_H17c zenon_H155 zenon_Hb2 zenon_H65 zenon_H77 zenon_H34 zenon_H48.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.72 exact (zenon_H4c zenon_H47).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.72 apply (zenon_L2547_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.72 apply (zenon_L30_); trivial.
% 22.64/22.72 apply (zenon_L456_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2548_ *)
% 22.64/22.72 assert (zenon_L2549_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((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 (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H204 zenon_H164 zenon_Hbb zenon_H192 zenon_H179 zenon_H82 zenon_H6c zenon_H1fb zenon_H23d zenon_H236 zenon_H66 zenon_H68 zenon_H1f zenon_H65 zenon_H55 zenon_H17c zenon_H13a zenon_H1b3 zenon_H1b7 zenon_H1a8 zenon_H158 zenon_H156 zenon_Ha0 zenon_H104 zenon_H19a zenon_Hb2 zenon_H196 zenon_H25e zenon_H26d zenon_H117 zenon_He2 zenon_H7d zenon_H1fe zenon_H6f zenon_H1c6 zenon_Ha9 zenon_Hf5 zenon_H15d zenon_Heb zenon_H270 zenon_Hcc zenon_H1cd zenon_Hbc zenon_H111 zenon_H271 zenon_H1b4 zenon_H139 zenon_H48 zenon_H1cf zenon_H1cb zenon_H77 zenon_Hb6 zenon_H201 zenon_H8b zenon_H129 zenon_H16a zenon_H1d8 zenon_H23b.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.72 apply (zenon_L1866_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.72 exact (zenon_H1f zenon_H1e).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.72 exact (zenon_H205 zenon_H2a).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.72 apply (zenon_L2543_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.72 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.72 apply (zenon_L110_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.72 exact (zenon_H1b3 zenon_Hef).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.72 apply (zenon_L34_); trivial.
% 22.64/22.72 apply (zenon_L188_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.72 apply (zenon_L193_); trivial.
% 22.64/22.72 apply (zenon_L156_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.72 exact (zenon_H1f zenon_H1e).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.72 exact (zenon_H1f zenon_H1e).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.72 apply (zenon_L2517_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.72 apply (zenon_L27_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.72 exact (zenon_H4c zenon_H47).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.72 apply (zenon_L214_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.72 exact (zenon_H1b3 zenon_Hef).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.72 apply (zenon_L2546_); trivial.
% 22.64/22.72 apply (zenon_L188_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.72 apply (zenon_L94_); trivial.
% 22.64/22.72 apply (zenon_L2548_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.72 apply (zenon_L264_); trivial.
% 22.64/22.72 exact (zenon_H238 zenon_H38).
% 22.64/22.72 apply (zenon_L1861_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2549_ *)
% 22.64/22.72 assert (zenon_L2550_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H139 zenon_H6c zenon_H6f zenon_H6d zenon_H153 zenon_H77 zenon_H17c zenon_H1b4.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.72 exact (zenon_H6c zenon_H67).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.72 apply (zenon_L21_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.72 apply (zenon_L94_); trivial.
% 22.64/22.72 apply (zenon_L347_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2550_ *)
% 22.64/22.72 assert (zenon_L2551_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3))))))))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H15c zenon_H15d zenon_Hf5 zenon_H6c zenon_H6f zenon_H1b4 zenon_H17c zenon_H139 zenon_Hb6 zenon_Ha9 zenon_H6d zenon_H1cd zenon_Hbb zenon_H1c6 zenon_H48 zenon_H158 zenon_H1b3 zenon_H173 zenon_H68 zenon_H72 zenon_H73 zenon_H236 zenon_H7a zenon_H40 zenon_H87 zenon_H77 zenon_Heb.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.64/22.72 apply (zenon_L344_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.72 apply (zenon_L13_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.72 apply (zenon_L1111_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.72 apply (zenon_L2550_); trivial.
% 22.64/22.72 apply (zenon_L1082_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.72 apply (zenon_L304_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.72 apply (zenon_L2530_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.72 exact (zenon_H6c zenon_H67).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.72 apply (zenon_L21_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.72 apply (zenon_L22_); trivial.
% 22.64/22.72 apply (zenon_L165_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2551_ *)
% 22.64/22.72 assert (zenon_L2552_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H125 zenon_H6c zenon_H4e zenon_Hbc zenon_Hbb zenon_Ha9 zenon_Heb zenon_Hb6 zenon_H40 zenon_H77 zenon_H72 zenon_Hec zenon_H47 zenon_Hb2 zenon_H17c zenon_H18a.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.72 exact (zenon_H6c zenon_H67).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.72 apply (zenon_L83_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.72 apply (zenon_L253_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.72 apply (zenon_L66_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.72 apply (zenon_L43_); trivial.
% 22.64/22.72 apply (zenon_L48_); trivial.
% 22.64/22.72 apply (zenon_L268_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2552_ *)
% 22.64/22.72 assert (zenon_L2553_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (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 (e1) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H117 zenon_H65 zenon_Ha9 zenon_H6d zenon_H104 zenon_Hbb zenon_H25e zenon_H136 zenon_Hf5 zenon_H9f zenon_H1b4 zenon_H17c zenon_H196.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.64/22.72 apply (zenon_L43_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.64/22.72 apply (zenon_L289_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.64/22.72 apply (zenon_L129_); trivial.
% 22.64/22.72 apply (zenon_L665_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2553_ *)
% 22.64/22.72 assert (zenon_L2554_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H125 zenon_H6c zenon_H4e zenon_H72 zenon_Hbc zenon_Hbb zenon_Ha9 zenon_H3c zenon_Hb6 zenon_H155 zenon_Hb2 zenon_H17c zenon_H18a.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.72 exact (zenon_H6c zenon_H67).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.72 apply (zenon_L83_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.72 apply (zenon_L2547_); trivial.
% 22.64/22.72 apply (zenon_L268_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2554_ *)
% 22.64/22.72 assert (zenon_L2555_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H125 zenon_H6c zenon_H4e zenon_H72 zenon_H54 zenon_H77 zenon_H17c zenon_H18a.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.72 exact (zenon_H6c zenon_H67).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.72 apply (zenon_L83_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.72 apply (zenon_L30_); trivial.
% 22.64/22.72 apply (zenon_L268_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2555_ *)
% 22.64/22.72 assert (zenon_L2556_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H125 zenon_H4e zenon_H72 zenon_H1b4 zenon_H68 zenon_H25e zenon_H13a zenon_Hf5 zenon_H1fb zenon_H19a zenon_Ha0 zenon_H2a zenon_Ha9 zenon_H196 zenon_H3d zenon_H77 zenon_H6c zenon_H139 zenon_Hbb zenon_H104 zenon_H6d zenon_H117 zenon_H17c zenon_H18a.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.72 exact (zenon_H6c zenon_H67).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.72 apply (zenon_L83_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.72 apply (zenon_L2546_); trivial.
% 22.64/22.72 apply (zenon_L268_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2556_ *)
% 22.64/22.72 assert (zenon_L2557_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H164 zenon_H48 zenon_H7e zenon_H2a zenon_H192 zenon_Hbb zenon_Ha0 zenon_H68 zenon_H17c.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.64/22.72 apply (zenon_L456_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.64/22.72 apply (zenon_L292_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.64/22.72 apply (zenon_L80_); trivial.
% 22.64/22.72 apply (zenon_L295_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2557_ *)
% 22.64/22.72 assert (zenon_L2558_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (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 (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((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)) = (op (e0) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H15c zenon_H156 zenon_H158 zenon_H15d zenon_H82 zenon_H6f zenon_H6d zenon_H13b zenon_H104 zenon_H25e zenon_H196 zenon_H1b4 zenon_Hf5 zenon_H117 zenon_H68 zenon_He3 zenon_H48 zenon_H13a zenon_H139 zenon_H6c zenon_H4e zenon_H72 zenon_Hb2 zenon_Hbb zenon_Hbc zenon_Ha9 zenon_H40 zenon_H77 zenon_Heb zenon_Hb6 zenon_H18a zenon_H17c zenon_H125 zenon_H164 zenon_H192 zenon_H1fb zenon_Ha0 zenon_H19a zenon_H1fe zenon_H1d8 zenon_H7d zenon_He2 zenon_H26d zenon_H236.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.72 apply (zenon_L2552_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.72 exact (zenon_H6c zenon_H67).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.72 apply (zenon_L21_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.72 exact (zenon_H6c zenon_H67).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.72 apply (zenon_L83_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.72 apply (zenon_L60_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.72 exact (zenon_He3 zenon_He7).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.72 apply (zenon_L62_); trivial.
% 22.64/22.72 apply (zenon_L2553_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.72 apply (zenon_L55_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.72 apply (zenon_L193_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.64/22.72 apply (zenon_L43_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.64/22.72 apply (zenon_L289_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.64/22.72 apply (zenon_L129_); trivial.
% 22.64/22.72 apply (zenon_L154_); trivial.
% 22.64/22.72 apply (zenon_L268_); trivial.
% 22.64/22.72 apply (zenon_L347_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.72 apply (zenon_L2550_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.72 apply (zenon_L13_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.72 apply (zenon_L2554_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.72 apply (zenon_L2555_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.72 exact (zenon_H6c zenon_H67).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.72 apply (zenon_L83_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.72 apply (zenon_L444_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.72 apply (zenon_L66_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.72 apply (zenon_L43_); trivial.
% 22.64/22.72 apply (zenon_L48_); trivial.
% 22.64/22.72 apply (zenon_L71_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.72 apply (zenon_L2552_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.72 apply (zenon_L2556_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.72 apply (zenon_L2550_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.72 apply (zenon_L2552_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.72 apply (zenon_L2554_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.72 apply (zenon_L2555_); trivial.
% 22.64/22.72 apply (zenon_L2557_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.72 apply (zenon_L2535_); trivial.
% 22.64/22.72 apply (zenon_L2369_); trivial.
% 22.64/22.72 apply (zenon_L101_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2558_ *)
% 22.64/22.72 assert (zenon_L2559_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H1a8 zenon_H77 zenon_H3d zenon_H1b3 zenon_H1ba zenon_H17c zenon_H1b7.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.72 apply (zenon_L214_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.72 exact (zenon_H1b3 zenon_Hef).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.72 exact (zenon_H1ba zenon_H6d).
% 22.64/22.72 apply (zenon_L188_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2559_ *)
% 22.64/22.72 assert (zenon_L2560_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H139 zenon_H6c zenon_H129 zenon_H8b zenon_H6f zenon_H7b zenon_H16a zenon_H153 zenon_H77 zenon_H17c zenon_H1b4.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.72 exact (zenon_H6c zenon_H67).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.72 apply (zenon_L1365_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.72 apply (zenon_L94_); trivial.
% 22.64/22.72 apply (zenon_L347_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2560_ *)
% 22.64/22.72 assert (zenon_L2561_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H1a8 zenon_Ha9 zenon_Hdb zenon_H1b3 zenon_H1ba zenon_H17c zenon_H1b7.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.72 apply (zenon_L110_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.72 exact (zenon_H1b3 zenon_Hef).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.72 exact (zenon_H1ba zenon_H6d).
% 22.64/22.72 apply (zenon_L188_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2561_ *)
% 22.64/22.72 assert (zenon_L2562_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H13a zenon_H155 zenon_H1b7 zenon_H17c zenon_H1ba zenon_H1b3 zenon_Ha9 zenon_H1a8 zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.72 apply (zenon_L444_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.72 apply (zenon_L2561_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.72 apply (zenon_L178_); trivial.
% 22.64/22.72 apply (zenon_L154_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2562_ *)
% 22.64/22.72 assert (zenon_L2563_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H139 zenon_H6c zenon_Hbb zenon_H177 zenon_H47 zenon_Hb6 zenon_H196 zenon_Hb9 zenon_Ha9 zenon_H2a zenon_Ha0 zenon_H19a zenon_H1fb zenon_Hf5 zenon_H13a zenon_H25e zenon_H68 zenon_H17c zenon_H1b4.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.72 exact (zenon_H6c zenon_H67).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.72 apply (zenon_L986_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.72 apply (zenon_L2523_); trivial.
% 22.64/22.72 apply (zenon_L347_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2563_ *)
% 22.64/22.72 assert (zenon_L2564_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H13a zenon_H155 zenon_H17c zenon_Ha0 zenon_H2a zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.72 apply (zenon_L444_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.72 apply (zenon_L53_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.72 apply (zenon_L178_); trivial.
% 22.64/22.72 apply (zenon_L154_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2564_ *)
% 22.64/22.72 assert (zenon_L2565_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (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) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H15d zenon_Hb6 zenon_H68 zenon_H25e zenon_Hf5 zenon_H1fb zenon_H19a zenon_Ha9 zenon_H1b4 zenon_H77 zenon_H16a zenon_H7b zenon_H6f zenon_H8b zenon_H129 zenon_H6c zenon_H139 zenon_H13a zenon_H17c zenon_Ha0 zenon_H2a zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.72 apply (zenon_L2563_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.72 apply (zenon_L2545_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.72 apply (zenon_L2560_); trivial.
% 22.64/22.72 apply (zenon_L2564_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2565_ *)
% 22.64/22.72 assert (zenon_L2566_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H139 zenon_H6c zenon_H196 zenon_Hb9 zenon_Hbb zenon_H177 zenon_Ha0 zenon_H38 zenon_Ha9 zenon_H1a8 zenon_H1b3 zenon_H1ba zenon_H1b7 zenon_H47 zenon_Hb6 zenon_H13a zenon_H17c zenon_H1b4.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.72 exact (zenon_H6c zenon_H67).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.72 apply (zenon_L986_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.72 apply (zenon_L253_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.72 apply (zenon_L2561_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.72 apply (zenon_L193_); trivial.
% 22.64/22.72 apply (zenon_L156_); trivial.
% 22.64/22.72 apply (zenon_L347_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2566_ *)
% 22.64/22.72 assert (zenon_L2567_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H139 zenon_H6c zenon_H129 zenon_H17c zenon_H8b zenon_H6f zenon_H7b zenon_H16a zenon_H153 zenon_H77 zenon_H38 zenon_H68.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.72 exact (zenon_H6c zenon_H67).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.72 apply (zenon_L1365_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.72 apply (zenon_L94_); trivial.
% 22.64/22.72 apply (zenon_L165_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2567_ *)
% 22.64/22.72 assert (zenon_L2568_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((e0) = (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 (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)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H13a zenon_H17c zenon_H68 zenon_Ha0 zenon_H25e zenon_Hf5 zenon_H1b4 zenon_H25b zenon_H186 zenon_H4d zenon_H20f zenon_H195 zenon_H19a zenon_Hb6 zenon_H3d zenon_Ha9 zenon_H66 zenon_Hb9 zenon_H196.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.72 apply (zenon_L666_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.72 apply (zenon_L55_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.72 apply (zenon_L193_); trivial.
% 22.64/22.72 apply (zenon_L154_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2568_ *)
% 22.64/22.72 assert (zenon_L2569_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e0) = (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)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.72 do 0 intro. intros zenon_H139 zenon_H6c zenon_H129 zenon_H8b zenon_H6f zenon_H7b zenon_H16a zenon_Hbb zenon_Hb6 zenon_H1bf zenon_H13a zenon_H68 zenon_Ha0 zenon_H25e zenon_Hf5 zenon_H25b zenon_H186 zenon_H20f zenon_H195 zenon_H19a zenon_H3d zenon_Ha9 zenon_Hb9 zenon_H196 zenon_H77 zenon_H201 zenon_H17c zenon_H1b4.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.72 exact (zenon_H6c zenon_H67).
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.72 apply (zenon_L1365_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.72 apply (zenon_L94_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.72 apply (zenon_L2568_); trivial.
% 22.64/22.72 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.72 exact (zenon_H1bf zenon_H105).
% 22.64/22.72 apply (zenon_L363_); trivial.
% 22.64/22.72 apply (zenon_L347_); trivial.
% 22.64/22.72 (* end of lemma zenon_L2569_ *)
% 22.64/22.72 assert (zenon_L2570_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 22.64/22.73 do 0 intro. intros zenon_H164 zenon_H1e zenon_H33 zenon_Hbc zenon_H18a zenon_H7d zenon_H7f zenon_H212 zenon_Hbb zenon_Ha0 zenon_H68 zenon_H17c.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H34 | zenon_intro zenon_H165 ].
% 22.64/22.73 apply (zenon_L7_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_He0 | zenon_intro zenon_H166 ].
% 22.64/22.73 apply (zenon_L1375_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H11d | zenon_intro zenon_H167 ].
% 22.64/22.73 apply (zenon_L80_); trivial.
% 22.64/22.73 apply (zenon_L295_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2570_ *)
% 22.64/22.73 assert (zenon_L2571_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False).
% 22.64/22.73 do 0 intro. intros zenon_He4 zenon_Hb6 zenon_Hdb zenon_H156 zenon_H4d zenon_H55 zenon_H54 zenon_H164 zenon_H1e zenon_H33 zenon_Hbc zenon_H18a zenon_H7d zenon_H212 zenon_Hbb zenon_Ha0 zenon_H68 zenon_H17c.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.64/22.73 apply (zenon_L55_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.64/22.73 apply (zenon_L486_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.64/22.73 apply (zenon_L15_); trivial.
% 22.64/22.73 apply (zenon_L2570_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2571_ *)
% 22.64/22.73 assert (zenon_L2572_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.73 do 0 intro. intros zenon_H16a zenon_H54 zenon_H77 zenon_H1ba zenon_H8b zenon_H17c zenon_H129.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.64/22.73 apply (zenon_L30_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.64/22.73 exact (zenon_H1ba zenon_H6d).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.64/22.73 exact (zenon_H8b zenon_H8a).
% 22.64/22.73 apply (zenon_L126_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2572_ *)
% 22.64/22.73 assert (zenon_L2573_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> False).
% 22.64/22.73 do 0 intro. intros zenon_H13f zenon_H129 zenon_H17c zenon_H8b zenon_H1ba zenon_H77 zenon_H16a zenon_Hdd zenon_H48 zenon_H153 zenon_H111 zenon_Hb6 zenon_Hb9.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.64/22.73 apply (zenon_L2572_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.64/22.73 apply (zenon_L111_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.64/22.73 apply (zenon_L148_); trivial.
% 22.64/22.73 apply (zenon_L182_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2573_ *)
% 22.64/22.73 assert (zenon_L2574_ : ((op (e3) (e3)) = (e2)) -> (~((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) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.73 do 0 intro. intros zenon_H17c zenon_H1b4 zenon_Hf5 zenon_H25e zenon_Hfa zenon_H1cb zenon_H8b zenon_H4e zenon_H13a zenon_H1fb zenon_H19a zenon_Ha9 zenon_H1cf zenon_H1b3 zenon_H68 zenon_H20f zenon_H173 zenon_H3c zenon_H48 zenon_H13b zenon_Ha0 zenon_H2a zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.73 apply (zenon_L2525_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.73 apply (zenon_L53_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.73 apply (zenon_L178_); trivial.
% 22.64/22.73 apply (zenon_L154_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2574_ *)
% 22.64/22.73 assert (zenon_L2575_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> False).
% 22.64/22.73 do 0 intro. intros zenon_H91 zenon_H13d zenon_H104 zenon_Hbb zenon_H13e zenon_H68 zenon_H2d zenon_H8b zenon_H129 zenon_H17c zenon_H16a.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.73 apply (zenon_L2519_); trivial.
% 22.64/22.73 apply (zenon_L196_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2575_ *)
% 22.64/22.73 assert (zenon_L2576_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> False).
% 22.64/22.73 do 0 intro. intros zenon_H91 zenon_H13d zenon_H8b zenon_H104 zenon_Hbb zenon_H13e zenon_H19a zenon_H68 zenon_Hf5 zenon_H13a zenon_Hb9 zenon_H196 zenon_Ha0 zenon_Ha9 zenon_H17c zenon_H1b4 zenon_H25e zenon_H31 zenon_H26d zenon_H1b3 zenon_H1b7 zenon_H1a8.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.73 apply (zenon_L2542_); trivial.
% 22.64/22.73 apply (zenon_L196_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2576_ *)
% 22.64/22.73 assert (zenon_L2577_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 22.64/22.73 do 0 intro. intros zenon_H82 zenon_H1b4 zenon_H13a zenon_Hb6 zenon_H1b7 zenon_H1b3 zenon_H1a8 zenon_Ha9 zenon_Ha0 zenon_H177 zenon_Hbb zenon_H196 zenon_H6c zenon_H139 zenon_H195 zenon_Hb9 zenon_H20f zenon_H5d zenon_Hf5 zenon_H38 zenon_H25b zenon_H129 zenon_H17c zenon_H8b zenon_H1ba zenon_H77 zenon_H16a zenon_H34 zenon_H48.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.73 apply (zenon_L2566_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.73 apply (zenon_L1297_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.73 apply (zenon_L2572_); trivial.
% 22.64/22.73 apply (zenon_L456_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2577_ *)
% 22.64/22.73 assert (zenon_L2578_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.73 do 0 intro. intros zenon_H3a zenon_H139 zenon_H6c zenon_H77 zenon_H8a zenon_H111 zenon_H17c zenon_H1b4.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.64/22.73 apply (zenon_L785_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2578_ *)
% 22.64/22.73 assert (zenon_L2579_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3))))))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 22.64/22.73 do 0 intro. intros zenon_H204 zenon_H4e zenon_H77 zenon_H164 zenon_H192 zenon_H48 zenon_H82 zenon_H23d zenon_H1d5 zenon_H236 zenon_H66 zenon_H68 zenon_H1f zenon_H117 zenon_Hf5 zenon_H186 zenon_H4d zenon_H20f zenon_H17c zenon_H195 zenon_H25b zenon_Hbb zenon_H104 zenon_H6f zenon_H65 zenon_Ha9 zenon_H177 zenon_Ha0 zenon_H13a zenon_H63 zenon_H23b.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.73 apply (zenon_L1866_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.73 exact (zenon_H1f zenon_H1e).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.73 exact (zenon_H205 zenon_H2a).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.73 apply (zenon_L814_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.73 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.64/22.73 apply (zenon_L43_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.64/22.73 apply (zenon_L205_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.64/22.73 apply (zenon_L129_); trivial.
% 22.64/22.73 apply (zenon_L664_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.73 apply (zenon_L178_); trivial.
% 22.64/22.73 apply (zenon_L156_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.73 exact (zenon_H1f zenon_H1e).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.73 exact (zenon_H4c zenon_H47).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.73 apply (zenon_L14_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.73 apply (zenon_L30_); trivial.
% 22.64/22.73 apply (zenon_L2557_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.73 apply (zenon_L264_); trivial.
% 22.64/22.73 exact (zenon_H238 zenon_H38).
% 22.64/22.73 apply (zenon_L601_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2579_ *)
% 22.64/22.73 assert (zenon_L2580_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (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) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 22.64/22.73 do 0 intro. intros zenon_H15d zenon_H1b4 zenon_H25e zenon_Hf5 zenon_H25b zenon_H186 zenon_H20f zenon_H195 zenon_H19a zenon_Ha9 zenon_H6c zenon_H139 zenon_H73 zenon_H82 zenon_H48 zenon_H94 zenon_Hb2 zenon_H55 zenon_H164 zenon_H1e zenon_H33 zenon_Hbc zenon_H18a zenon_H212 zenon_Ha0 zenon_H68 zenon_H13a zenon_H7d zenon_H16a zenon_H7b zenon_H77 zenon_H8b zenon_H17c zenon_H129 zenon_H4d zenon_H156 zenon_Hb6 zenon_He4 zenon_H177 zenon_Hbb zenon_Hb9 zenon_H196.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.73 apply (zenon_L13_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.73 exact (zenon_H6c zenon_H67).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.73 apply (zenon_L214_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.73 apply (zenon_L2568_); trivial.
% 22.64/22.73 apply (zenon_L347_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.73 apply (zenon_L184_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.73 apply (zenon_L13_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.73 apply (zenon_L2366_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.73 apply (zenon_L444_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.73 apply (zenon_L2571_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.73 apply (zenon_L178_); trivial.
% 22.64/22.73 apply (zenon_L154_); trivial.
% 22.64/22.73 apply (zenon_L942_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2580_ *)
% 22.64/22.73 assert (zenon_L2581_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 22.64/22.73 do 0 intro. intros zenon_H139 zenon_H6c zenon_H20f zenon_H4d zenon_H77 zenon_H173 zenon_H1cf zenon_H4e zenon_H8b zenon_H1cb zenon_Hfa zenon_H196 zenon_Hb9 zenon_Ha9 zenon_H2a zenon_Ha0 zenon_H19a zenon_H1fb zenon_Hf5 zenon_H13a zenon_H25e zenon_H68 zenon_H17c zenon_H1b4.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.73 exact (zenon_H6c zenon_H67).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.73 apply (zenon_L2524_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.73 apply (zenon_L226_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.73 apply (zenon_L59_); trivial.
% 22.64/22.73 apply (zenon_L570_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.73 apply (zenon_L2523_); trivial.
% 22.64/22.73 apply (zenon_L347_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2581_ *)
% 22.64/22.73 assert (zenon_L2582_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((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 (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 22.64/22.73 do 0 intro. intros zenon_Hc0 zenon_H131 zenon_H104 zenon_H13e zenon_H15d zenon_Hb2 zenon_Hbc zenon_H94 zenon_H177 zenon_H156 zenon_H55 zenon_H164 zenon_H7d zenon_H18a zenon_H212 zenon_H33 zenon_He4 zenon_H16a zenon_H129 zenon_H8b zenon_H82 zenon_H73 zenon_H6c zenon_H77 zenon_H13a zenon_Ha9 zenon_Hb6 zenon_H25b zenon_H195 zenon_H17c zenon_H20f zenon_H4d zenon_H186 zenon_Hf5 zenon_H25e zenon_H196 zenon_H1b4 zenon_Ha0 zenon_H68 zenon_H19a zenon_H139 zenon_H48 zenon_H1cf zenon_H1cb zenon_H4e zenon_H1fb zenon_H173 zenon_Hfa zenon_H236.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.73 apply (zenon_L2580_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.73 apply (zenon_L2581_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.73 apply (zenon_L781_); trivial.
% 22.64/22.73 apply (zenon_L664_); trivial.
% 22.64/22.73 apply (zenon_L130_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2582_ *)
% 22.64/22.73 assert (zenon_L2583_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((op (e3) (e3)) = (e2)) -> False).
% 22.64/22.73 do 0 intro. intros zenon_H271 zenon_H179 zenon_H192 zenon_Ha0 zenon_H68 zenon_H164 zenon_H48 zenon_H1cf zenon_H1cb zenon_H77 zenon_Hb6 zenon_H201 zenon_H8b zenon_H129 zenon_H16a zenon_H4d zenon_H4e zenon_H13e zenon_H104 zenon_H131 zenon_H82 zenon_H23d zenon_H1d5 zenon_H236 zenon_H117 zenon_Hf5 zenon_H186 zenon_H20f zenon_H195 zenon_H25b zenon_H6f zenon_Ha9 zenon_H177 zenon_H13a zenon_Hbc zenon_H1cd zenon_Hfa zenon_H173 zenon_H1fb zenon_H139 zenon_H19a zenon_H1b4 zenon_H196 zenon_H25e zenon_H6c zenon_H73 zenon_He4 zenon_H33 zenon_H212 zenon_H18a zenon_H7d zenon_H55 zenon_H156 zenon_H94 zenon_Hb2 zenon_H15d zenon_Hcc zenon_H17c.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H181 | zenon_intro zenon_Hbb ].
% 22.64/22.73 exact (zenon_H181 zenon_H17c).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.73 apply (zenon_L2_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.73 apply (zenon_L2518_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.73 apply (zenon_L2521_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.73 apply (zenon_L784_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.73 apply (zenon_L758_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.73 apply (zenon_L11_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.73 apply (zenon_L132_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.73 apply (zenon_L788_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.73 apply (zenon_L2579_); trivial.
% 22.64/22.73 apply (zenon_L2579_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.73 apply (zenon_L343_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.73 apply (zenon_L37_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.73 apply (zenon_L790_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.73 apply (zenon_L791_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.73 apply (zenon_L361_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.73 apply (zenon_L2582_); trivial.
% 22.64/22.73 apply (zenon_L51_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2583_ *)
% 22.64/22.73 assert (zenon_L2584_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 22.64/22.73 do 0 intro. intros zenon_H277 zenon_H31 zenon_H1d8 zenon_H16a zenon_H129 zenon_H68 zenon_H201 zenon_Hb6 zenon_H77 zenon_H1cb zenon_H1cf zenon_H48 zenon_H139 zenon_H1b4 zenon_H271 zenon_H111 zenon_Hbc zenon_H1cd zenon_Hcc zenon_H270 zenon_Heb zenon_H15d zenon_Hf5 zenon_Ha9 zenon_H1c6 zenon_H6f zenon_H1fe zenon_H7d zenon_He2 zenon_H117 zenon_H26d zenon_H25e zenon_H196 zenon_Hb2 zenon_H19a zenon_H104 zenon_Ha0 zenon_H156 zenon_H158 zenon_H1a8 zenon_H1b7 zenon_H13a zenon_H17c zenon_H131.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H4d ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H8b | zenon_intro zenon_H8a ].
% 22.64/22.73 apply (zenon_L2543_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H181 | zenon_intro zenon_Hbb ].
% 22.64/22.73 exact (zenon_H181 zenon_H17c).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.73 apply (zenon_L2_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.73 apply (zenon_L700_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.73 apply (zenon_L782_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.73 apply (zenon_L784_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.73 apply (zenon_L786_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.73 apply (zenon_L11_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.73 apply (zenon_L787_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.73 apply (zenon_L788_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.73 apply (zenon_L789_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.73 apply (zenon_L88_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.73 apply (zenon_L37_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.73 apply (zenon_L790_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.73 apply (zenon_L791_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.73 apply (zenon_L361_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.73 apply (zenon_L792_); trivial.
% 22.64/22.73 apply (zenon_L51_); trivial.
% 22.64/22.73 apply (zenon_L793_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2584_ *)
% 22.64/22.73 assert (zenon_L2585_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((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 (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((op (e3) (e3)) = (e2)) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 22.64/22.73 do 0 intro. intros zenon_H20b zenon_H1b7 zenon_H1a8 zenon_H158 zenon_H26d zenon_He2 zenon_H1fe zenon_H1c6 zenon_Heb zenon_H270 zenon_H111 zenon_H1d8 zenon_H277 zenon_H17c zenon_Hcc zenon_H15d zenon_Hb2 zenon_H94 zenon_H156 zenon_H55 zenon_H7d zenon_H18a zenon_H212 zenon_H33 zenon_He4 zenon_H73 zenon_H6c zenon_H25e zenon_H196 zenon_H1b4 zenon_H19a zenon_H139 zenon_H1fb zenon_H173 zenon_Hfa zenon_H1cd zenon_Hbc zenon_H13a zenon_H177 zenon_Ha9 zenon_H6f zenon_H25b zenon_H195 zenon_H20f zenon_H186 zenon_Hf5 zenon_H117 zenon_H236 zenon_H1d5 zenon_H23d zenon_H82 zenon_H131 zenon_H104 zenon_H13e zenon_H4e zenon_H4d zenon_H16a zenon_H129 zenon_H201 zenon_Hb6 zenon_H77 zenon_H1cb zenon_H1cf zenon_H48 zenon_H164 zenon_H68 zenon_Ha0 zenon_H192 zenon_H179 zenon_H271.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H8b | zenon_intro zenon_H8a ].
% 22.64/22.73 apply (zenon_L2583_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H181 | zenon_intro zenon_Hbb ].
% 22.64/22.73 exact (zenon_H181 zenon_H17c).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H31 | zenon_intro zenon_H20c ].
% 22.64/22.73 apply (zenon_L2584_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H153 | zenon_intro zenon_H20d ].
% 22.64/22.73 apply (zenon_L184_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfe ].
% 22.64/22.73 apply (zenon_L258_); trivial.
% 22.64/22.73 apply (zenon_L178_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2585_ *)
% 22.64/22.73 assert (zenon_L2586_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((op (e3) (e3)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/(~((op (e0) (e0)) = (e0))))/\(((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (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 (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1))))/\(((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2))))/\((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0))))/\(((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1))))/\(((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2))))/\((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0))))/\(((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1))))/\(((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2))))/\((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0))))/\(((~((op (e3) (e1)) = (e3)))\/(~((op (e3) (e3)) = (e1))))/\(((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2))))/\((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))))))))))))))))))))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((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 (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 22.64/22.73 do 0 intro. intros zenon_H291 zenon_H17c zenon_H140 zenon_H5d zenon_H141 zenon_H25b zenon_H195 zenon_H186 zenon_H212 zenon_H33 zenon_He4 zenon_H13f zenon_H18a zenon_H125 zenon_H73 zenon_H55 zenon_H82 zenon_H131 zenon_H13e zenon_H1d8 zenon_H271 zenon_H111 zenon_Hbc zenon_H1cd zenon_Hcc zenon_H270 zenon_Heb zenon_H15d zenon_H1c6 zenon_H6f zenon_H7d zenon_He2 zenon_H26d zenon_Hb2 zenon_H156 zenon_H158 zenon_H1fe zenon_H12e zenon_H1a8 zenon_H1b7 zenon_Ha9 zenon_H104 zenon_H13b zenon_H4e zenon_H19a zenon_H13a zenon_Hf5 zenon_H1b4 zenon_H196 zenon_H25e zenon_H1fb zenon_H20f zenon_Hfa zenon_H173 zenon_H117 zenon_H177 zenon_H139 zenon_H236 zenon_H23d zenon_H16a zenon_H129 zenon_H201 zenon_Hb6 zenon_H77 zenon_H1cb zenon_H1cf zenon_H48 zenon_H164 zenon_H68 zenon_Ha0 zenon_H192 zenon_H179 zenon_H20b zenon_H277 zenon_H94 zenon_H1d5.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H6c | zenon_intro zenon_H31 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H4d ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H8b | zenon_intro zenon_H8a ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H181 | zenon_intro zenon_Hbb ].
% 22.64/22.73 exact (zenon_H181 zenon_H17c).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.73 apply (zenon_L2_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.73 apply (zenon_L2518_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.73 apply (zenon_L2521_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.73 apply (zenon_L784_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.73 apply (zenon_L2544_); trivial.
% 22.64/22.73 apply (zenon_L2544_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.73 apply (zenon_L11_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.73 apply (zenon_L131_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.73 apply (zenon_L788_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.73 apply (zenon_L2549_); trivial.
% 22.64/22.73 apply (zenon_L2549_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.73 apply (zenon_L2551_); trivial.
% 22.64/22.73 apply (zenon_L2551_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.73 apply (zenon_L2558_); trivial.
% 22.64/22.73 apply (zenon_L2558_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.73 apply (zenon_L37_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.73 apply (zenon_L790_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.73 apply (zenon_L791_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.73 apply (zenon_L361_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.73 apply (zenon_L13_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.73 apply (zenon_L2559_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.73 apply (zenon_L2560_); trivial.
% 22.64/22.73 apply (zenon_L2562_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.73 apply (zenon_L2565_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.73 apply (zenon_L2542_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.73 apply (zenon_L2566_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.73 apply (zenon_L2559_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.73 apply (zenon_L2567_); trivial.
% 22.64/22.73 apply (zenon_L246_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.73 apply (zenon_L13_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.73 apply (zenon_L2569_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.73 apply (zenon_L2560_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.73 exact (zenon_H6c zenon_H67).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.73 apply (zenon_L1365_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.73 apply (zenon_L444_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.73 apply (zenon_L110_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.73 exact (zenon_H1b3 zenon_Hef).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.73 apply (zenon_L94_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.73 apply (zenon_L2571_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.73 exact (zenon_H1bf zenon_H105).
% 22.64/22.73 apply (zenon_L363_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.64/22.73 apply (zenon_L56_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.64/22.73 exact (zenon_H1bf zenon_H105).
% 22.64/22.73 apply (zenon_L182_); trivial.
% 22.64/22.73 apply (zenon_L188_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.73 apply (zenon_L193_); trivial.
% 22.64/22.73 apply (zenon_L154_); trivial.
% 22.64/22.73 apply (zenon_L347_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.73 apply (zenon_L2565_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.73 apply (zenon_L1916_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.73 apply (zenon_L2567_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.73 apply (zenon_L664_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.73 exact (zenon_H1bf zenon_H105).
% 22.64/22.73 apply (zenon_L363_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.73 apply (zenon_L13_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.73 apply (zenon_L2559_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.73 apply (zenon_L2519_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.73 apply (zenon_L2573_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.73 exact (zenon_H13d zenon_H14c).
% 22.64/22.73 apply (zenon_L77_); trivial.
% 22.64/22.73 apply (zenon_L2562_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.73 apply (zenon_L13_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.73 apply (zenon_L2574_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.73 apply (zenon_L2572_); trivial.
% 22.64/22.73 apply (zenon_L2557_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.73 apply (zenon_L2517_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.73 apply (zenon_L2575_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.73 apply (zenon_L2563_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.73 apply (zenon_L2574_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.73 apply (zenon_L2572_); trivial.
% 22.64/22.73 apply (zenon_L456_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.73 apply (zenon_L2576_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.73 apply (zenon_L13_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.73 apply (zenon_L2559_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.73 apply (zenon_L2519_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.73 apply (zenon_L2573_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.73 exact (zenon_H13d zenon_H14c).
% 22.64/22.73 apply (zenon_L1162_); trivial.
% 22.64/22.73 apply (zenon_L246_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.73 apply (zenon_L1385_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.73 apply (zenon_L2575_); trivial.
% 22.64/22.73 apply (zenon_L2577_); trivial.
% 22.64/22.73 apply (zenon_L196_); trivial.
% 22.64/22.73 apply (zenon_L51_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H181 | zenon_intro zenon_Hbb ].
% 22.64/22.73 exact (zenon_H181 zenon_H17c).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.73 apply (zenon_L2_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.73 apply (zenon_L2518_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.73 apply (zenon_L782_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.73 apply (zenon_L784_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.73 apply (zenon_L2578_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.73 apply (zenon_L11_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.73 apply (zenon_L787_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.73 apply (zenon_L788_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.73 apply (zenon_L789_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.73 apply (zenon_L88_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.73 apply (zenon_L37_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.73 apply (zenon_L790_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.73 apply (zenon_L791_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.73 apply (zenon_L361_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.73 apply (zenon_L792_); trivial.
% 22.64/22.73 apply (zenon_L51_); trivial.
% 22.64/22.73 apply (zenon_L2585_); trivial.
% 22.64/22.73 apply (zenon_L2584_); trivial.
% 22.64/22.73 (* end of lemma zenon_L2586_ *)
% 22.64/22.73 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H23d. zenon_intro zenon_H292.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H288. zenon_intro zenon_H293.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H20b. zenon_intro zenon_H294.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H25e. zenon_intro zenon_H295.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H297. zenon_intro zenon_H296.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H158. zenon_intro zenon_H298.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H1ec. zenon_intro zenon_H299.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H25b. zenon_intro zenon_H29a.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H22d. zenon_intro zenon_H29b.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H266. zenon_intro zenon_H29c.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H13e. zenon_intro zenon_H29d.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H27e. zenon_intro zenon_H29e.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H212. zenon_intro zenon_H29f.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H24e. zenon_intro zenon_H2a0.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H231. zenon_intro zenon_H1bb.
% 22.64/22.73 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H236. zenon_intro zenon_H2a1.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1fe. zenon_intro zenon_H2a2.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H15d. zenon_intro zenon_H2a3.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H82. zenon_intro zenon_H2a4.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H139. zenon_intro zenon_H2a5.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H125. zenon_intro zenon_H2a6.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H13a. zenon_intro zenon_H2a7.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Hb2. zenon_intro zenon_H2a8.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H13b. zenon_intro zenon_H2a9.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_He2. zenon_intro zenon_H2aa.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_Heb. zenon_intro zenon_H2ab.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_He4. zenon_intro zenon_H2ac.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_Hfa. zenon_intro zenon_H2ad.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H1a8. zenon_intro zenon_H2ae.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H13c. zenon_intro zenon_H2af.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H1c6. zenon_intro zenon_H2b0.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H141. zenon_intro zenon_H2b1.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H140. zenon_intro zenon_H2b2.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H13f. zenon_intro zenon_H2b3.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H201. zenon_intro zenon_H2b4.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H16a. zenon_intro zenon_H2b5.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1cf. zenon_intro zenon_H2b6.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H117. zenon_intro zenon_H2b7.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H1a2. zenon_intro zenon_H2b8.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H164. zenon_intro zenon_H2b9.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H19a. zenon_intro zenon_H2ba.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H12e. zenon_intro zenon_H2bb.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H18d. zenon_intro zenon_H2bc.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H183. zenon_intro zenon_H2bd.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H1c3. zenon_intro zenon_H2be.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H121. zenon_intro zenon_H26a.
% 22.64/22.73 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H24. zenon_intro zenon_H2bf.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c. zenon_intro zenon_H2c0.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H33. zenon_intro zenon_H2c1.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H100. zenon_intro zenon_H2c2.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H179. zenon_intro zenon_H2c3.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H109. zenon_intro zenon_H2c4.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H173. zenon_intro zenon_H2c5.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H6f. zenon_intro zenon_H2c6.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H192. zenon_intro zenon_H2c7.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_Hf0. zenon_intro zenon_H2c8.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H11a. zenon_intro zenon_H2c9.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H1f1. zenon_intro zenon_H2ca.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H73. zenon_intro zenon_H2cb.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H111. zenon_intro zenon_H2cc.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H177. zenon_intro zenon_H2cd.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H131. zenon_intro zenon_H2ce.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H163. zenon_intro zenon_H2cf.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H104. zenon_intro zenon_H2d0.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_Hf5. zenon_intro zenon_H2d1.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H196. zenon_intro zenon_H2d2.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H1b4. zenon_intro zenon_H2d3.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H195. zenon_intro zenon_H2d4.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H20f. zenon_intro zenon_H2d5.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H129. zenon_intro zenon_H2d6.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H19d. zenon_intro zenon_H2d7.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1d5. zenon_intro zenon_H2d8.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H2da. zenon_intro zenon_H2d9.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H1d8. zenon_intro zenon_H2db.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1fb. zenon_intro zenon_H2dc.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H26d. zenon_intro zenon_H2dd.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H23c. zenon_intro zenon_H2de.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H4e. zenon_intro zenon_H2df.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H5d. zenon_intro zenon_H2e0.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H156. zenon_intro zenon_H2e1.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H234. zenon_intro zenon_H2e2.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H186. zenon_intro zenon_H2e3.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H55. zenon_intro zenon_H2e4.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H1ef. zenon_intro zenon_H2e5.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H94. zenon_intro zenon_H2e6.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H190. zenon_intro zenon_H2e7.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H189. zenon_intro zenon_H2e8.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1c2. zenon_intro zenon_H2e9.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H7d. zenon_intro zenon_H2ea.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_Hbc. zenon_intro zenon_H2eb.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H18a. zenon_intro zenon_H2ec.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H1cd. zenon_intro zenon_H2ed.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1b7. zenon_intro zenon_H1cb.
% 22.64/22.73 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H48. zenon_intro zenon_H2ee.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H68. zenon_intro zenon_H2ef.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha0. zenon_intro zenon_H2f0.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H77. zenon_intro zenon_H2f1.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_Hb6. zenon_intro zenon_Ha9.
% 22.64/22.73 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H2f2. zenon_intro zenon_Hcc.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2f4 | zenon_intro zenon_H2f3 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H1e. zenon_intro zenon_H2f5.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H28f. zenon_intro zenon_H2f8.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1ca. zenon_intro zenon_H1c0.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_He3 | zenon_intro zenon_H3c ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H13d | zenon_intro zenon_H65 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H162 | zenon_intro zenon_H9d ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.73 apply (zenon_L2_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.73 apply (zenon_L4_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.73 apply (zenon_L6_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.73 apply (zenon_L8_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.73 apply (zenon_L9_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.73 apply (zenon_L11_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.64/22.73 apply (zenon_L145_); trivial.
% 22.64/22.73 apply (zenon_L145_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.73 apply (zenon_L204_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.73 apply (zenon_L212_); trivial.
% 22.64/22.73 apply (zenon_L212_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.73 apply (zenon_L19_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.73 apply (zenon_L213_); trivial.
% 22.64/22.73 apply (zenon_L213_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.73 apply (zenon_L37_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.73 apply (zenon_L13_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.73 apply (zenon_L215_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.73 apply (zenon_L225_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.73 apply (zenon_L13_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.73 apply (zenon_L105_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.73 apply (zenon_L235_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.73 apply (zenon_L20_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.73 apply (zenon_L20_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.73 apply (zenon_L41_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.73 apply (zenon_L110_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.73 apply (zenon_L171_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.73 exact (zenon_He3 zenon_He7).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.73 apply (zenon_L24_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.73 apply (zenon_L230_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.73 apply (zenon_L117_); trivial.
% 22.64/22.73 apply (zenon_L192_); trivial.
% 22.64/22.73 apply (zenon_L234_); trivial.
% 22.64/22.73 apply (zenon_L115_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.73 apply (zenon_L203_); trivial.
% 22.64/22.73 apply (zenon_L71_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.73 apply (zenon_L122_); trivial.
% 22.64/22.73 apply (zenon_L167_); trivial.
% 22.64/22.73 apply (zenon_L238_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.73 apply (zenon_L40_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.64/22.73 apply (zenon_L108_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.64/22.73 apply (zenon_L244_); trivial.
% 22.64/22.73 apply (zenon_L244_); trivial.
% 22.64/22.73 apply (zenon_L197_); trivial.
% 22.64/22.73 apply (zenon_L51_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.73 apply (zenon_L2_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.73 apply (zenon_L4_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.73 apply (zenon_L6_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.73 apply (zenon_L8_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.73 apply (zenon_L9_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.73 apply (zenon_L11_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.73 apply (zenon_L198_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.64/22.73 exact (zenon_H209 zenon_H9d).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.73 apply (zenon_L13_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.73 apply (zenon_L146_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.73 apply (zenon_L13_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.73 apply (zenon_L109_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.73 apply (zenon_L20_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.73 apply (zenon_L160_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.73 apply (zenon_L94_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.73 apply (zenon_L20_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.73 apply (zenon_L245_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.73 apply (zenon_L174_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.73 apply (zenon_L95_); trivial.
% 22.64/22.73 apply (zenon_L92_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.73 apply (zenon_L32_); trivial.
% 22.64/22.73 apply (zenon_L91_); trivial.
% 22.64/22.73 apply (zenon_L31_); trivial.
% 22.64/22.73 apply (zenon_L192_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.73 apply (zenon_L19_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.73 apply (zenon_L200_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.73 apply (zenon_L37_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.64/22.73 exact (zenon_H209 zenon_H9d).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.73 apply (zenon_L13_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.73 apply (zenon_L215_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.73 apply (zenon_L225_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.73 apply (zenon_L13_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.73 apply (zenon_L223_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.73 apply (zenon_L20_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.73 apply (zenon_L20_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.73 apply (zenon_L245_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.73 apply (zenon_L110_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.73 apply (zenon_L249_); trivial.
% 22.64/22.73 apply (zenon_L115_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.73 apply (zenon_L30_); trivial.
% 22.64/22.73 apply (zenon_L91_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.73 apply (zenon_L122_); trivial.
% 22.64/22.73 apply (zenon_L98_); trivial.
% 22.64/22.73 apply (zenon_L134_); trivial.
% 22.64/22.73 apply (zenon_L238_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.73 apply (zenon_L40_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.73 apply (zenon_L221_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.73 apply (zenon_L201_); trivial.
% 22.64/22.73 apply (zenon_L51_); trivial.
% 22.64/22.73 apply (zenon_L203_); trivial.
% 22.64/22.73 apply (zenon_L223_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2fa | zenon_intro zenon_H2f9 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H47. zenon_intro zenon_H2fb.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H290. zenon_intro zenon_H2fe.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H264. zenon_intro zenon_H230.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H4c | zenon_intro zenon_H2a ].
% 22.64/22.73 exact (zenon_H4c zenon_H47).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H1bf | zenon_intro zenon_H6d ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H120 | zenon_intro zenon_Hac ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.73 apply (zenon_L2_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.64/22.73 apply (zenon_L250_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.73 apply (zenon_L251_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.73 apply (zenon_L147_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.73 apply (zenon_L252_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.73 apply (zenon_L171_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.73 apply (zenon_L253_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.73 apply (zenon_L116_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.73 apply (zenon_L43_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.73 exact (zenon_H7a zenon_H3c).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.73 exact (zenon_H40 zenon_H3f).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.73 exact (zenon_H1d4 zenon_H4d).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.73 apply (zenon_L123_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.73 exact (zenon_H159 zenon_H10c).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.73 apply (zenon_L53_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.73 exact (zenon_H159 zenon_H10c).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.73 apply (zenon_L261_); trivial.
% 22.64/22.73 apply (zenon_L44_); trivial.
% 22.64/22.73 apply (zenon_L263_); trivial.
% 22.64/22.73 apply (zenon_L271_); trivial.
% 22.64/22.73 apply (zenon_L277_); trivial.
% 22.64/22.73 apply (zenon_L305_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.64/22.73 apply (zenon_L250_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.73 apply (zenon_L251_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.73 apply (zenon_L306_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.73 apply (zenon_L252_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.73 apply (zenon_L171_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.73 apply (zenon_L253_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.73 apply (zenon_L116_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.73 apply (zenon_L43_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.73 apply (zenon_L25_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.73 exact (zenon_H40 zenon_H3f).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.73 exact (zenon_H1d4 zenon_H4d).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.73 apply (zenon_L123_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.73 exact (zenon_H159 zenon_H10c).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.73 apply (zenon_L53_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.73 exact (zenon_H159 zenon_H10c).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.73 apply (zenon_L261_); trivial.
% 22.64/22.73 apply (zenon_L313_); trivial.
% 22.64/22.73 apply (zenon_L314_); trivial.
% 22.64/22.73 apply (zenon_L312_); trivial.
% 22.64/22.73 apply (zenon_L277_); trivial.
% 22.64/22.73 apply (zenon_L305_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.73 apply (zenon_L315_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.73 apply (zenon_L317_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.73 apply (zenon_L318_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.73 apply (zenon_L11_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.64/22.73 apply (zenon_L322_); trivial.
% 22.64/22.73 apply (zenon_L322_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.64/22.73 apply (zenon_L330_); trivial.
% 22.64/22.73 apply (zenon_L330_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.73 apply (zenon_L251_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.73 apply (zenon_L147_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.73 apply (zenon_L253_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.73 apply (zenon_L333_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.73 apply (zenon_L334_); trivial.
% 22.64/22.73 exact (zenon_H209 zenon_H9d).
% 22.64/22.73 apply (zenon_L336_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.73 apply (zenon_L251_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.73 apply (zenon_L147_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.73 apply (zenon_L252_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.73 apply (zenon_L337_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.73 apply (zenon_L338_); trivial.
% 22.64/22.73 apply (zenon_L340_); trivial.
% 22.64/22.73 apply (zenon_L336_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.73 apply (zenon_L342_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.73 apply (zenon_L351_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.73 apply (zenon_L37_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.73 apply (zenon_L353_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.73 apply (zenon_L354_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.73 apply (zenon_L375_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.73 apply (zenon_L377_); trivial.
% 22.64/22.73 apply (zenon_L51_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.73 apply (zenon_L2_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.64/22.73 apply (zenon_L250_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.73 apply (zenon_L251_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.73 apply (zenon_L358_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.73 apply (zenon_L252_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.73 apply (zenon_L171_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.73 apply (zenon_L307_); trivial.
% 22.64/22.73 apply (zenon_L271_); trivial.
% 22.64/22.73 apply (zenon_L277_); trivial.
% 22.64/22.73 apply (zenon_L372_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.64/22.73 apply (zenon_L250_); trivial.
% 22.64/22.73 apply (zenon_L313_); trivial.
% 22.64/22.73 apply (zenon_L373_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.73 apply (zenon_L315_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.73 apply (zenon_L317_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.73 apply (zenon_L318_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.73 apply (zenon_L11_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.64/22.73 apply (zenon_L381_); trivial.
% 22.64/22.73 apply (zenon_L381_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.64/22.73 apply (zenon_L383_); trivial.
% 22.64/22.73 apply (zenon_L383_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.73 apply (zenon_L251_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.73 apply (zenon_L358_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.73 apply (zenon_L384_); trivial.
% 22.64/22.73 apply (zenon_L336_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.73 apply (zenon_L342_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.73 apply (zenon_L386_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.73 apply (zenon_L37_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.73 apply (zenon_L353_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.73 apply (zenon_L387_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.73 apply (zenon_L375_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.73 apply (zenon_L388_); trivial.
% 22.64/22.73 apply (zenon_L51_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H120 | zenon_intro zenon_Hac ].
% 22.64/22.73 apply (zenon_L481_); trivial.
% 22.64/22.73 apply (zenon_L394_); trivial.
% 22.64/22.73 apply (zenon_L699_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H300 | zenon_intro zenon_H2ff ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H67. zenon_intro zenon_H301.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H291. zenon_intro zenon_H302.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H277. zenon_intro zenon_H303.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H270. zenon_intro zenon_H271.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H6c | zenon_intro zenon_H31 ].
% 22.64/22.73 exact (zenon_H6c zenon_H67).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H4d ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H8b | zenon_intro zenon_H8a ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H181 | zenon_intro zenon_Hbb ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.73 apply (zenon_L2_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.73 apply (zenon_L700_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.73 apply (zenon_L251_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.73 apply (zenon_L251_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.73 apply (zenon_L713_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.73 apply (zenon_L217_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.73 apply (zenon_L701_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.73 apply (zenon_L55_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.73 apply (zenon_L68_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.73 apply (zenon_L713_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.73 apply (zenon_L716_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.73 apply (zenon_L723_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.73 apply (zenon_L706_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.73 exact (zenon_H1b3 zenon_Hef).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.64/22.73 apply (zenon_L217_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.64/22.73 apply (zenon_L378_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.64/22.73 apply (zenon_L727_); trivial.
% 22.64/22.73 apply (zenon_L149_); trivial.
% 22.64/22.73 apply (zenon_L206_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.73 apply (zenon_L239_); trivial.
% 22.64/22.73 apply (zenon_L728_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.73 apply (zenon_L251_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.73 apply (zenon_L251_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.73 apply (zenon_L701_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.73 apply (zenon_L730_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.73 apply (zenon_L68_); trivial.
% 22.64/22.73 apply (zenon_L733_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.73 apply (zenon_L217_); trivial.
% 22.64/22.73 apply (zenon_L736_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.73 apply (zenon_L239_); trivial.
% 22.64/22.73 apply (zenon_L737_); trivial.
% 22.64/22.73 apply (zenon_L1071_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.73 apply (zenon_L251_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.73 apply (zenon_L251_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.73 apply (zenon_L713_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.73 apply (zenon_L217_); trivial.
% 22.64/22.73 apply (zenon_L1075_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.73 apply (zenon_L239_); trivial.
% 22.64/22.73 apply (zenon_L728_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.73 apply (zenon_L251_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.73 apply (zenon_L251_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.73 apply (zenon_L701_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.73 apply (zenon_L1076_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.73 apply (zenon_L68_); trivial.
% 22.64/22.73 apply (zenon_L733_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.73 apply (zenon_L217_); trivial.
% 22.64/22.73 apply (zenon_L1077_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.73 apply (zenon_L239_); trivial.
% 22.64/22.73 apply (zenon_L737_); trivial.
% 22.64/22.73 apply (zenon_L1071_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.73 apply (zenon_L757_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.73 apply (zenon_L1078_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.73 apply (zenon_L11_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.73 apply (zenon_L1079_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.73 apply (zenon_L1080_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.73 apply (zenon_L814_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.73 apply (zenon_L1086_); trivial.
% 22.64/22.73 apply (zenon_L1086_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.73 apply (zenon_L1088_); trivial.
% 22.64/22.73 apply (zenon_L1088_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.73 apply (zenon_L37_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.73 apply (zenon_L706_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.73 exact (zenon_H1b3 zenon_Hef).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.73 apply (zenon_L227_); trivial.
% 22.64/22.73 apply (zenon_L228_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.73 apply (zenon_L922_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.73 apply (zenon_L1093_); trivial.
% 22.64/22.73 apply (zenon_L1093_); trivial.
% 22.64/22.73 apply (zenon_L374_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.73 apply (zenon_L1108_); trivial.
% 22.64/22.73 apply (zenon_L51_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.73 apply (zenon_L2_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.73 apply (zenon_L700_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.73 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.73 apply (zenon_L251_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.73 apply (zenon_L251_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.73 apply (zenon_L1109_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.73 apply (zenon_L217_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.73 apply (zenon_L701_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.73 apply (zenon_L55_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.73 apply (zenon_L68_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.73 apply (zenon_L701_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.73 apply (zenon_L46_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.73 apply (zenon_L716_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.73 apply (zenon_L721_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.73 apply (zenon_L706_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.73 exact (zenon_H1b3 zenon_Hef).
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.64/22.73 apply (zenon_L217_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.64/22.73 apply (zenon_L832_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.64/22.73 apply (zenon_L727_); trivial.
% 22.64/22.73 apply (zenon_L149_); trivial.
% 22.64/22.73 apply (zenon_L206_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.73 apply (zenon_L67_); trivial.
% 22.64/22.73 apply (zenon_L48_); trivial.
% 22.64/22.73 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_L239_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.74 apply (zenon_L701_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.74 apply (zenon_L705_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.74 apply (zenon_L178_); trivial.
% 22.64/22.74 apply (zenon_L115_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.74 apply (zenon_L251_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L251_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_L1109_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_L217_); trivial.
% 22.64/22.74 apply (zenon_L736_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_L239_); trivial.
% 22.64/22.74 apply (zenon_L737_); trivial.
% 22.64/22.74 apply (zenon_L1103_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L251_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_L1109_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_L217_); trivial.
% 22.64/22.74 apply (zenon_L1110_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L251_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_L1109_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_L217_); trivial.
% 22.64/22.74 apply (zenon_L1077_); trivial.
% 22.64/22.74 apply (zenon_L197_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.74 apply (zenon_L757_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.74 apply (zenon_L1078_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.74 apply (zenon_L11_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.74 apply (zenon_L1079_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.74 apply (zenon_L1080_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.74 apply (zenon_L814_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.74 apply (zenon_L1112_); trivial.
% 22.64/22.74 apply (zenon_L1112_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.74 apply (zenon_L1114_); trivial.
% 22.64/22.74 apply (zenon_L1114_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.74 apply (zenon_L37_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.74 exact (zenon_H1a3 zenon_Hbb).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.74 apply (zenon_L1116_); trivial.
% 22.64/22.74 apply (zenon_L1116_); trivial.
% 22.64/22.74 apply (zenon_L1121_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.74 apply (zenon_L791_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.74 apply (zenon_L361_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.74 apply (zenon_L1108_); trivial.
% 22.64/22.74 apply (zenon_L51_); trivial.
% 22.64/22.74 apply (zenon_L1142_); trivial.
% 22.64/22.74 apply (zenon_L1145_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H305 | zenon_intro zenon_H304 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H9f. zenon_intro zenon_H306.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H283. zenon_intro zenon_H307.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H282. zenon_intro zenon_H308.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H281. zenon_intro zenon_H284.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H38 ].
% 22.64/22.74 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H159 | zenon_intro zenon_H5c ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H191 | zenon_intro zenon_H93 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.74 apply (zenon_L2_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.74 apply (zenon_L1146_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.74 apply (zenon_L1147_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.74 apply (zenon_L253_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L1149_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L297_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.74 apply (zenon_L1163_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L100_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L1164_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L436_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.64/22.74 apply (zenon_L1443_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.64/22.74 apply (zenon_L1403_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_L1444_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.74 apply (zenon_L1446_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_L1449_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_L1461_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L297_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_L1443_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.64/22.74 apply (zenon_L317_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.74 apply (zenon_L1448_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.74 apply (zenon_L1469_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.74 apply (zenon_L1416_); trivial.
% 22.64/22.74 apply (zenon_L1436_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.64/22.74 apply (zenon_L1242_); trivial.
% 22.64/22.74 apply (zenon_L543_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_L1472_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_L456_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L1284_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L25_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.64/22.74 apply (zenon_L738_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.64/22.74 apply (zenon_L492_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.74 apply (zenon_L1405_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.74 apply (zenon_L1473_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L1474_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L1455_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L56_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L111_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.64/22.74 apply (zenon_L1476_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.64/22.74 apply (zenon_L56_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.64/22.74 apply (zenon_L1169_); trivial.
% 22.64/22.74 apply (zenon_L1171_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 apply (zenon_L1484_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_L1265_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L1409_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_L94_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_L1485_); trivial.
% 22.64/22.74 apply (zenon_L456_); trivial.
% 22.64/22.74 apply (zenon_L246_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.74 apply (zenon_L253_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L253_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L25_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.74 apply (zenon_L1497_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.74 apply (zenon_L14_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_L1414_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.74 apply (zenon_L1501_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.74 apply (zenon_L117_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_L1414_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.74 apply (zenon_L252_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L297_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_L1506_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.64/22.74 apply (zenon_L65_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.64/22.74 apply (zenon_L1506_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.64/22.74 apply (zenon_L1460_); trivial.
% 22.64/22.74 apply (zenon_L802_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_L291_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L297_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.74 apply (zenon_L69_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L186_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L1164_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L1533_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L1534_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_L1537_); trivial.
% 22.64/22.74 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.74 apply (zenon_L1539_); trivial.
% 22.64/22.74 apply (zenon_L414_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.64/22.74 apply (zenon_L317_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.74 apply (zenon_L69_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L186_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L1164_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L162_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L1467_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_L1537_); trivial.
% 22.64/22.74 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.74 apply (zenon_L186_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.74 apply (zenon_L62_); trivial.
% 22.64/22.74 apply (zenon_L1468_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.74 apply (zenon_L117_); trivial.
% 22.64/22.74 apply (zenon_L1627_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.64/22.74 apply (zenon_L1500_); trivial.
% 22.64/22.74 apply (zenon_L802_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.74 apply (zenon_L252_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L171_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L186_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L1164_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L1471_); trivial.
% 22.64/22.74 apply (zenon_L1628_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.74 apply (zenon_L1539_); trivial.
% 22.64/22.74 apply (zenon_L414_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.64/22.74 apply (zenon_L65_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.74 apply (zenon_L69_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L186_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L1164_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L162_); trivial.
% 22.64/22.74 apply (zenon_L1628_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.74 apply (zenon_L1539_); trivial.
% 22.64/22.74 apply (zenon_L1627_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.64/22.74 apply (zenon_L1242_); trivial.
% 22.64/22.74 apply (zenon_L802_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.74 apply (zenon_L30_); trivial.
% 22.64/22.74 apply (zenon_L291_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_L456_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L1284_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L297_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_L1497_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_L1501_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L25_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_L1494_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_L1631_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L297_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H3d | zenon_intro zenon_He8 ].
% 22.64/22.74 apply (zenon_L1632_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H3f | zenon_intro zenon_He9 ].
% 22.64/22.74 apply (zenon_L492_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H53 | zenon_intro zenon_H7f ].
% 22.64/22.74 apply (zenon_L1474_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.74 apply (zenon_L226_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L1491_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L110_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L27_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_L1634_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.74 apply (zenon_L1492_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_L1629_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_L291_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_L94_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L297_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.74 apply (zenon_L69_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L1636_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L186_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L217_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L929_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H66 | zenon_intro zenon_H1d0 ].
% 22.64/22.74 apply (zenon_L1470_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H72 | zenon_intro zenon_H1d1 ].
% 22.64/22.74 apply (zenon_L436_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H8a | zenon_intro zenon_H160 ].
% 22.64/22.74 apply (zenon_L366_); trivial.
% 22.64/22.74 apply (zenon_L1480_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 apply (zenon_L1637_); trivial.
% 22.64/22.74 apply (zenon_L1639_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.74 apply (zenon_L186_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L1640_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L100_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L1481_); trivial.
% 22.64/22.74 apply (zenon_L1639_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L1635_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L1455_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L1641_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L1638_); trivial.
% 22.64/22.74 apply (zenon_L299_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.74 apply (zenon_L184_); trivial.
% 22.64/22.74 apply (zenon_L414_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.64/22.74 apply (zenon_L316_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.74 apply (zenon_L1499_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.74 apply (zenon_L1642_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.74 apply (zenon_L117_); trivial.
% 22.64/22.74 apply (zenon_L1627_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.64/22.74 apply (zenon_L1500_); trivial.
% 22.64/22.74 apply (zenon_L802_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L1640_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_L94_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_L456_); trivial.
% 22.64/22.74 apply (zenon_L246_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.74 apply (zenon_L253_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L253_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L25_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.74 apply (zenon_L1163_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L100_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L436_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L929_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.64/22.74 apply (zenon_L1644_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.64/22.74 apply (zenon_L1403_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_L1066_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L46_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L436_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.64/22.74 apply (zenon_L1644_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.64/22.74 apply (zenon_L1403_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_L1444_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 apply (zenon_L371_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L1455_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L929_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.64/22.74 apply (zenon_L1663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.64/22.74 apply (zenon_L1665_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_L1066_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.64/22.74 apply (zenon_L1666_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.64/22.74 apply (zenon_L113_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.74 apply (zenon_L1668_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.74 apply (zenon_L124_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_L1651_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 apply (zenon_L371_); trivial.
% 22.64/22.74 apply (zenon_L299_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L1673_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_L1161_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.74 apply (zenon_L62_); trivial.
% 22.64/22.74 apply (zenon_L1447_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_L1461_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_L1663_); trivial.
% 22.64/22.74 apply (zenon_L456_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L1284_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L25_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_L1668_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_L1265_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_L1649_); trivial.
% 22.64/22.74 apply (zenon_L456_); trivial.
% 22.64/22.74 apply (zenon_L246_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.74 apply (zenon_L253_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L253_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L25_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L929_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_L1680_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.64/22.74 apply (zenon_L65_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L46_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L1454_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_L1681_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.64/22.74 apply (zenon_L1743_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.64/22.74 apply (zenon_L1498_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.64/22.74 apply (zenon_L1669_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.74 apply (zenon_L1439_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.74 apply (zenon_L117_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.74 apply (zenon_L1669_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.64/22.74 apply (zenon_L180_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.64/22.74 apply (zenon_L1152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.64/22.74 apply (zenon_L1674_); trivial.
% 22.64/22.74 apply (zenon_L218_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.74 apply (zenon_L62_); trivial.
% 22.64/22.74 apply (zenon_L1468_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.64/22.74 apply (zenon_L1673_); trivial.
% 22.64/22.74 apply (zenon_L802_); trivial.
% 22.64/22.74 apply (zenon_L422_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.74 apply (zenon_L252_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L297_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L1450_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L27_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L929_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_L1744_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L1459_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.74 apply (zenon_L1439_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.74 apply (zenon_L379_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_L687_); trivial.
% 22.64/22.74 apply (zenon_L415_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.74 apply (zenon_L22_); trivial.
% 22.64/22.74 apply (zenon_L1458_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L1460_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_L365_); trivial.
% 22.64/22.74 apply (zenon_L415_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_L291_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L297_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_L1743_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_L1660_); trivial.
% 22.64/22.74 apply (zenon_L422_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.74 apply (zenon_L252_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L171_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.74 apply (zenon_L69_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L186_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L1647_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.74 apply (zenon_L94_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.74 apply (zenon_L965_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.74 apply (zenon_L1650_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.64/22.74 apply (zenon_L30_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.64/22.74 apply (zenon_L1646_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.64/22.74 apply (zenon_L1679_); trivial.
% 22.64/22.74 apply (zenon_L1159_); trivial.
% 22.64/22.74 apply (zenon_L415_); trivial.
% 22.64/22.74 apply (zenon_L371_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L1244_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L217_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_L1741_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 apply (zenon_L379_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L1661_); trivial.
% 22.64/22.74 apply (zenon_L965_); trivial.
% 22.64/22.74 apply (zenon_L414_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_L1660_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.74 apply (zenon_L30_); trivial.
% 22.64/22.74 apply (zenon_L291_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_L456_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_L1677_); trivial.
% 22.64/22.74 apply (zenon_L246_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.74 apply (zenon_L253_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L1149_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L297_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.74 apply (zenon_L1407_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L1407_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L1164_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L46_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L436_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.64/22.74 apply (zenon_L1746_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.64/22.74 apply (zenon_L1755_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_L1444_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L1455_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L1164_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.64/22.74 apply (zenon_L1666_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.64/22.74 apply (zenon_L113_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.74 apply (zenon_L1756_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.74 apply (zenon_L124_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_L1651_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.74 apply (zenon_L299_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_L1449_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_L1766_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_L1746_); trivial.
% 22.64/22.74 apply (zenon_L456_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_L1756_); trivial.
% 22.64/22.74 apply (zenon_L246_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.74 apply (zenon_L253_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L253_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L25_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L46_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L1454_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.74 apply (zenon_L1769_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.74 apply (zenon_L14_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_L1414_); trivial.
% 22.64/22.74 apply (zenon_L886_); trivial.
% 22.64/22.74 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L100_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L1164_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L436_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.64/22.74 apply (zenon_L1772_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.64/22.74 apply (zenon_L1473_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_L1444_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L1701_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L1455_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L1164_); trivial.
% 22.64/22.74 apply (zenon_L1774_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.64/22.74 apply (zenon_L317_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L46_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L162_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.74 apply (zenon_L1768_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.74 apply (zenon_L1539_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_L1414_); trivial.
% 22.64/22.74 apply (zenon_L886_); trivial.
% 22.64/22.74 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.64/22.74 apply (zenon_L1775_); trivial.
% 22.64/22.74 apply (zenon_L802_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.74 apply (zenon_L252_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L297_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_L1765_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.64/22.74 apply (zenon_L65_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.64/22.74 apply (zenon_L1765_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.64/22.74 apply (zenon_L1775_); trivial.
% 22.64/22.74 apply (zenon_L802_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_L291_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L297_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.74 apply (zenon_L69_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L1701_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L186_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L1770_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_L1772_); trivial.
% 22.64/22.74 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.74 apply (zenon_L1539_); trivial.
% 22.64/22.74 apply (zenon_L1556_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H2a | zenon_intro zenon_He5 ].
% 22.64/22.74 apply (zenon_L317_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.74 apply (zenon_L69_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L186_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L1770_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L162_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L1467_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L217_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.74 apply (zenon_L1535_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.74 apply (zenon_L965_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.64/22.74 apply (zenon_L1437_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.64/22.74 apply (zenon_L368_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H155 | zenon_intro zenon_H18e ].
% 22.64/22.74 apply (zenon_L246_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H5c | zenon_intro zenon_H18f ].
% 22.64/22.74 apply (zenon_L1777_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ].
% 22.64/22.74 apply (zenon_L1444_); trivial.
% 22.64/22.74 apply (zenon_L964_); trivial.
% 22.64/22.74 apply (zenon_L1159_); trivial.
% 22.64/22.74 apply (zenon_L886_); trivial.
% 22.64/22.74 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.74 apply (zenon_L186_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.74 apply (zenon_L62_); trivial.
% 22.64/22.74 apply (zenon_L1468_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.74 apply (zenon_L117_); trivial.
% 22.64/22.74 apply (zenon_L1556_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdd | zenon_intro zenon_He0 ].
% 22.64/22.74 apply (zenon_L1242_); trivial.
% 22.64/22.74 apply (zenon_L802_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L1701_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.74 apply (zenon_L252_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L171_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.74 apply (zenon_L69_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.74 apply (zenon_L1778_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.74 apply (zenon_L486_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.64/22.74 apply (zenon_L1779_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.64/22.74 apply (zenon_L289_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.64/22.74 apply (zenon_L258_); trivial.
% 22.64/22.74 apply (zenon_L1159_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L1244_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.64/22.74 apply (zenon_L1779_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.64/22.74 apply (zenon_L1090_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.64/22.74 apply (zenon_L258_); trivial.
% 22.64/22.74 apply (zenon_L1780_); trivial.
% 22.64/22.74 apply (zenon_L886_); trivial.
% 22.64/22.74 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_L1661_); trivial.
% 22.64/22.74 apply (zenon_L965_); trivial.
% 22.64/22.74 apply (zenon_L414_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L162_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L217_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_L365_); trivial.
% 22.64/22.74 apply (zenon_L886_); trivial.
% 22.64/22.74 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.74 apply (zenon_L30_); trivial.
% 22.64/22.74 apply (zenon_L291_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_L211_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_L1778_); trivial.
% 22.64/22.74 apply (zenon_L246_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.74 apply (zenon_L253_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L253_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L25_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L900_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L1454_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L929_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_L1781_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L100_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L46_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L436_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L54_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.74 apply (zenon_L1782_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.74 apply (zenon_L59_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.74 apply (zenon_L1784_); trivial.
% 22.64/22.74 apply (zenon_L1152_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 apply (zenon_L1790_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6e | zenon_intro zenon_H1a9 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1aa ].
% 22.64/22.74 apply (zenon_L1455_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H6d | zenon_intro zenon_H171 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_L289_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L929_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.74 apply (zenon_L1782_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.74 apply (zenon_L14_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.74 apply (zenon_L255_); trivial.
% 22.64/22.74 apply (zenon_L1153_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 apply (zenon_L1790_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.74 apply (zenon_L46_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.74 apply (zenon_L162_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L359_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L1672_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_L1781_); trivial.
% 22.64/22.74 apply (zenon_L1162_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.74 apply (zenon_L62_); trivial.
% 22.64/22.74 apply (zenon_L1447_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_L1766_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L297_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_L1785_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_L1660_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.74 apply (zenon_L252_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L171_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.74 apply (zenon_L69_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.74 apply (zenon_L1653_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.74 apply (zenon_L1662_); trivial.
% 22.64/22.74 apply (zenon_L1551_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.74 apply (zenon_L24_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.74 apply (zenon_L1659_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.74 apply (zenon_L117_); trivial.
% 22.64/22.74 apply (zenon_L1555_); trivial.
% 22.64/22.74 apply (zenon_L663_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.74 apply (zenon_L30_); trivial.
% 22.64/22.74 apply (zenon_L291_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_L456_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L1284_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_L1789_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_L1649_); trivial.
% 22.64/22.74 apply (zenon_L456_); trivial.
% 22.64/22.74 apply (zenon_L246_); trivial.
% 22.64/22.74 apply (zenon_L434_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.74 apply (zenon_L1712_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.74 apply (zenon_L11_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.64/22.74 apply (zenon_L1792_); trivial.
% 22.64/22.74 apply (zenon_L1792_); trivial.
% 22.64/22.74 apply (zenon_L176_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.74 apply (zenon_L1567_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.74 apply (zenon_L1569_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.74 apply (zenon_L1795_); trivial.
% 22.64/22.74 apply (zenon_L1795_); trivial.
% 22.64/22.74 apply (zenon_L102_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.74 apply (zenon_L37_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.74 apply (zenon_L1734_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.74 apply (zenon_L1353_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.74 apply (zenon_L1799_); trivial.
% 22.64/22.74 apply (zenon_L1799_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.74 apply (zenon_L1800_); trivial.
% 22.64/22.74 apply (zenon_L1800_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.74 apply (zenon_L1739_); trivial.
% 22.64/22.74 apply (zenon_L51_); trivial.
% 22.64/22.74 apply (zenon_L1205_); trivial.
% 22.64/22.74 apply (zenon_L1740_); trivial.
% 22.64/22.74 apply (zenon_L1794_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H30a | zenon_intro zenon_H309 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_He7. zenon_intro zenon_H2f5.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H28f. zenon_intro zenon_H2f8.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1ca. zenon_intro zenon_H1c0.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H1f | zenon_intro zenon_H1e ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_He3 | zenon_intro zenon_H3c ].
% 22.64/22.74 exact (zenon_He3 zenon_He7).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H13d | zenon_intro zenon_H65 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H162 | zenon_intro zenon_H9d ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.74 apply (zenon_L2_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.74 apply (zenon_L26_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.74 apply (zenon_L1838_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.74 apply (zenon_L1840_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.74 apply (zenon_L487_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.74 exact (zenon_H1f zenon_H1e).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.74 exact (zenon_H205 zenon_H2a).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.74 exact (zenon_H237 zenon_H31).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.74 exact (zenon_H1f zenon_H1e).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.74 apply (zenon_L25_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.74 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.74 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.74 apply (zenon_L46_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.74 apply (zenon_L67_); trivial.
% 22.64/22.74 apply (zenon_L1890_); trivial.
% 22.64/22.74 apply (zenon_L1873_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_L1868_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_L1839_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.74 apply (zenon_L1891_); trivial.
% 22.64/22.74 apply (zenon_L1858_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.74 apply (zenon_L487_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.74 exact (zenon_H1f zenon_H1e).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.74 apply (zenon_L318_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.74 exact (zenon_H237 zenon_H31).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.74 exact (zenon_H1f zenon_H1e).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.74 apply (zenon_L25_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.74 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.74 apply (zenon_L46_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.74 apply (zenon_L67_); trivial.
% 22.64/22.74 apply (zenon_L1894_); trivial.
% 22.64/22.74 apply (zenon_L1839_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.74 apply (zenon_L1891_); trivial.
% 22.64/22.74 apply (zenon_L1861_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.74 apply (zenon_L11_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.74 apply (zenon_L16_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.74 apply (zenon_L18_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.74 apply (zenon_L1870_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.74 apply (zenon_L1872_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.74 apply (zenon_L37_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.74 apply (zenon_L1901_); trivial.
% 22.64/22.74 apply (zenon_L1901_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.74 apply (zenon_L1902_); trivial.
% 22.64/22.74 apply (zenon_L1902_); trivial.
% 22.64/22.74 apply (zenon_L238_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.74 apply (zenon_L1903_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.74 apply (zenon_L1878_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.64/22.74 apply (zenon_L1907_); trivial.
% 22.64/22.74 apply (zenon_L1907_); trivial.
% 22.64/22.74 apply (zenon_L197_); trivial.
% 22.64/22.74 apply (zenon_L51_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.74 apply (zenon_L2_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.74 apply (zenon_L26_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.74 apply (zenon_L1838_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.74 apply (zenon_L1840_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.74 apply (zenon_L487_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.74 exact (zenon_H1f zenon_H1e).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.74 exact (zenon_H205 zenon_H2a).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.74 exact (zenon_H237 zenon_H31).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.74 exact (zenon_H1f zenon_H1e).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.74 apply (zenon_L25_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.74 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.74 apply (zenon_L55_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.74 apply (zenon_L1890_); trivial.
% 22.64/22.74 apply (zenon_L1873_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L214_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_L1867_); trivial.
% 22.64/22.74 apply (zenon_L165_); trivial.
% 22.64/22.74 apply (zenon_L1839_); trivial.
% 22.64/22.74 apply (zenon_L1881_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.74 apply (zenon_L487_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.74 exact (zenon_H1f zenon_H1e).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.74 apply (zenon_L65_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.74 exact (zenon_H237 zenon_H31).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.74 exact (zenon_H1f zenon_H1e).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.74 apply (zenon_L25_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.74 apply (zenon_L1894_); trivial.
% 22.64/22.74 apply (zenon_L1839_); trivial.
% 22.64/22.74 apply (zenon_L611_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.74 apply (zenon_L11_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.74 apply (zenon_L16_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.74 apply (zenon_L18_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.74 apply (zenon_L1888_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.74 apply (zenon_L1872_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.74 apply (zenon_L37_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.64/22.74 exact (zenon_H209 zenon_H9d).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.74 apply (zenon_L1913_); trivial.
% 22.64/22.74 apply (zenon_L1913_); trivial.
% 22.64/22.74 apply (zenon_L238_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.74 apply (zenon_L1903_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.74 apply (zenon_L221_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.74 apply (zenon_L201_); trivial.
% 22.64/22.74 apply (zenon_L51_); trivial.
% 22.64/22.74 apply (zenon_L1889_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_He3 | zenon_intro zenon_H3c ].
% 22.64/22.74 exact (zenon_He3 zenon_He7).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.74 apply (zenon_L2_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.74 apply (zenon_L26_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.74 apply (zenon_L6_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.74 apply (zenon_L8_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.74 apply (zenon_L9_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.74 apply (zenon_L11_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.74 apply (zenon_L16_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.74 apply (zenon_L18_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.74 apply (zenon_L19_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.74 apply (zenon_L1872_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.74 apply (zenon_L37_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.74 apply (zenon_L106_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.74 apply (zenon_L40_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.74 apply (zenon_L1878_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.74 apply (zenon_L49_); trivial.
% 22.64/22.74 apply (zenon_L51_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H30c | zenon_intro zenon_H30b ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H3f. zenon_intro zenon_H2fb.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H290. zenon_intro zenon_H2fe.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H264. zenon_intro zenon_H230.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H4c | zenon_intro zenon_H2a ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H1bf | zenon_intro zenon_H6d ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H120 | zenon_intro zenon_Hac ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.74 apply (zenon_L2_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.74 apply (zenon_L482_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.64/22.74 apply (zenon_L1944_); trivial.
% 22.64/22.74 apply (zenon_L1944_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.74 apply (zenon_L1948_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.74 apply (zenon_L1958_); trivial.
% 22.64/22.74 apply (zenon_L1958_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.74 apply (zenon_L1948_); trivial.
% 22.64/22.74 apply (zenon_L434_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.74 apply (zenon_L513_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.74 apply (zenon_L11_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.74 apply (zenon_L483_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.74 apply (zenon_L485_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.74 apply (zenon_L1959_); trivial.
% 22.64/22.74 apply (zenon_L1959_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.74 apply (zenon_L522_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.74 apply (zenon_L37_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.74 apply (zenon_L1960_); trivial.
% 22.64/22.74 apply (zenon_L1960_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.74 apply (zenon_L1961_); trivial.
% 22.64/22.74 apply (zenon_L1961_); trivial.
% 22.64/22.74 apply (zenon_L238_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.74 apply (zenon_L1962_); trivial.
% 22.64/22.74 apply (zenon_L1962_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.74 apply (zenon_L531_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.64/22.74 apply (zenon_L1965_); trivial.
% 22.64/22.74 apply (zenon_L1965_); trivial.
% 22.64/22.74 apply (zenon_L197_); trivial.
% 22.64/22.74 apply (zenon_L51_); trivial.
% 22.64/22.74 apply (zenon_L1942_); trivial.
% 22.64/22.74 apply (zenon_L1956_); trivial.
% 22.64/22.74 apply (zenon_L699_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H30e | zenon_intro zenon_H30d ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_Hef. zenon_intro zenon_H301.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H291. zenon_intro zenon_H302.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H277. zenon_intro zenon_H303.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H270. zenon_intro zenon_H271.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H6c | zenon_intro zenon_H31 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H4d ].
% 22.64/22.74 exact (zenon_H1b3 zenon_Hef).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H8b | zenon_intro zenon_H8a ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H181 | zenon_intro zenon_Hbb ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.74 apply (zenon_L2_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.74 apply (zenon_L1966_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.74 apply (zenon_L974_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.74 apply (zenon_L1980_); trivial.
% 22.64/22.74 apply (zenon_L1980_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.74 apply (zenon_L758_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.74 apply (zenon_L11_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.64/22.74 apply (zenon_L378_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.74 apply (zenon_L1987_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.74 apply (zenon_L1987_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.74 apply (zenon_L1995_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.74 apply (zenon_L1008_); trivial.
% 22.64/22.74 apply (zenon_L1998_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.74 apply (zenon_L777_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.74 apply (zenon_L1999_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.74 apply (zenon_L2004_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.74 apply (zenon_L973_); trivial.
% 22.64/22.74 apply (zenon_L2008_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.64/22.74 apply (zenon_L779_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.74 apply (zenon_L1987_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.74 apply (zenon_L161_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.74 apply (zenon_L1995_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.74 apply (zenon_L2009_); trivial.
% 22.64/22.74 apply (zenon_L1998_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.74 apply (zenon_L800_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.74 apply (zenon_L1999_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.74 apply (zenon_L2004_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.74 apply (zenon_L2009_); trivial.
% 22.64/22.74 apply (zenon_L2008_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.64/22.74 apply (zenon_L2013_); trivial.
% 22.64/22.74 apply (zenon_L176_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.74 apply (zenon_L335_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.74 apply (zenon_L2022_); trivial.
% 22.64/22.74 apply (zenon_L2022_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.74 apply (zenon_L343_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.74 apply (zenon_L37_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.74 apply (zenon_L2024_); trivial.
% 22.64/22.74 apply (zenon_L2024_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.74 apply (zenon_L2025_); trivial.
% 22.64/22.74 apply (zenon_L2025_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.74 apply (zenon_L2027_); trivial.
% 22.64/22.74 apply (zenon_L2027_); trivial.
% 22.64/22.74 apply (zenon_L434_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.74 apply (zenon_L2028_); trivial.
% 22.64/22.74 apply (zenon_L2028_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.74 apply (zenon_L985_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.74 apply (zenon_L2052_); trivial.
% 22.64/22.74 apply (zenon_L51_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.74 apply (zenon_L2_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.74 apply (zenon_L1966_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.74 apply (zenon_L1009_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.74 apply (zenon_L2053_); trivial.
% 22.64/22.74 apply (zenon_L2053_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.74 apply (zenon_L758_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.74 apply (zenon_L11_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.64/22.74 apply (zenon_L378_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.74 apply (zenon_L2057_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.74 apply (zenon_L2058_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.74 apply (zenon_L778_); trivial.
% 22.64/22.74 apply (zenon_L2059_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H16b | zenon_intro zenon_H191 ].
% 22.64/22.74 apply (zenon_L779_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.74 apply (zenon_L2057_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.74 apply (zenon_L2058_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.74 apply (zenon_L800_); trivial.
% 22.64/22.74 apply (zenon_L2059_); trivial.
% 22.64/22.74 apply (zenon_L130_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.74 apply (zenon_L335_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.74 apply (zenon_L2062_); trivial.
% 22.64/22.74 apply (zenon_L2062_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.74 apply (zenon_L343_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.74 apply (zenon_L37_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.74 exact (zenon_H1a3 zenon_Hbb).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.74 apply (zenon_L2064_); trivial.
% 22.64/22.74 apply (zenon_L2064_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.74 exact (zenon_H1a3 zenon_Hbb).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.74 apply (zenon_L2065_); trivial.
% 22.64/22.74 apply (zenon_L2065_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.74 exact (zenon_H1a3 zenon_Hbb).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.74 apply (zenon_L2067_); trivial.
% 22.64/22.74 apply (zenon_L2067_); trivial.
% 22.64/22.74 apply (zenon_L895_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.74 apply (zenon_L791_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.74 apply (zenon_L361_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.74 apply (zenon_L2052_); trivial.
% 22.64/22.74 apply (zenon_L51_); trivial.
% 22.64/22.74 apply (zenon_L2109_); trivial.
% 22.64/22.74 apply (zenon_L1045_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H310 | zenon_intro zenon_H30f ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H10c. zenon_intro zenon_H306.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H283. zenon_intro zenon_H307.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H282. zenon_intro zenon_H308.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H281. zenon_intro zenon_H284.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H38 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H159 | zenon_intro zenon_H5c ].
% 22.64/22.74 exact (zenon_H159 zenon_H10c).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H191 | zenon_intro zenon_H93 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.74 apply (zenon_L2_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.74 apply (zenon_L2110_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 22.64/22.74 apply (zenon_L2115_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.74 apply (zenon_L1333_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.74 apply (zenon_L1206_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.74 apply (zenon_L11_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.74 apply (zenon_L1207_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.74 apply (zenon_L2223_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.74 apply (zenon_L2225_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.74 apply (zenon_L2225_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.74 apply (zenon_L2215_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.74 apply (zenon_L2216_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_L251_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L147_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.74 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.74 apply (zenon_L120_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.74 apply (zenon_L193_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.74 apply (zenon_L2210_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.74 apply (zenon_L272_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L2216_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H54 | zenon_intro zenon_H14f ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.74 apply (zenon_L2228_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.74 apply (zenon_L117_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.74 apply (zenon_L2217_); trivial.
% 22.64/22.74 apply (zenon_L331_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H53 | zenon_intro zenon_H150 ].
% 22.64/22.74 apply (zenon_L111_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H105 | zenon_intro zenon_H128 ].
% 22.64/22.74 apply (zenon_L2217_); trivial.
% 22.64/22.74 apply (zenon_L149_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_L365_); trivial.
% 22.64/22.74 apply (zenon_L209_); trivial.
% 22.64/22.74 apply (zenon_L157_); trivial.
% 22.64/22.74 apply (zenon_L2211_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.74 apply (zenon_L65_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L2212_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_L18_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_L2228_); trivial.
% 22.64/22.74 apply (zenon_L456_); trivial.
% 22.64/22.74 apply (zenon_L192_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.74 apply (zenon_L2128_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.74 apply (zenon_L2221_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.74 apply (zenon_L2115_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_L251_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.74 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.74 apply (zenon_L120_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.74 apply (zenon_L393_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L731_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H153 | zenon_intro zenon_H202 ].
% 22.64/22.74 apply (zenon_L239_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4d | zenon_intro zenon_H203 ].
% 22.64/22.74 apply (zenon_L335_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ].
% 22.64/22.74 apply (zenon_L2229_); trivial.
% 22.64/22.74 apply (zenon_L331_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_L2124_); trivial.
% 22.64/22.74 apply (zenon_L209_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_L264_); trivial.
% 22.64/22.74 apply (zenon_L2112_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.74 apply (zenon_L146_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_L239_); trivial.
% 22.64/22.74 apply (zenon_L192_); trivial.
% 22.64/22.74 apply (zenon_L414_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.74 apply (zenon_L2223_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.74 apply (zenon_L2225_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.74 apply (zenon_L161_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.74 apply (zenon_L2215_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.74 apply (zenon_L2216_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.74 apply (zenon_L423_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.74 apply (zenon_L65_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.74 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.74 apply (zenon_L53_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.74 apply (zenon_L95_); trivial.
% 22.64/22.74 apply (zenon_L419_); trivial.
% 22.64/22.74 apply (zenon_L192_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.74 apply (zenon_L2128_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.74 apply (zenon_L2221_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.74 apply (zenon_L2115_); trivial.
% 22.64/22.74 apply (zenon_L1940_); trivial.
% 22.64/22.74 apply (zenon_L414_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.74 apply (zenon_L13_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.74 apply (zenon_L146_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L13_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_L17_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_L20_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.74 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.74 apply (zenon_L110_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.74 apply (zenon_L95_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L731_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L2232_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_L2124_); trivial.
% 22.64/22.74 apply (zenon_L648_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_L94_); trivial.
% 22.64/22.74 apply (zenon_L598_); trivial.
% 22.64/22.74 apply (zenon_L31_); trivial.
% 22.64/22.74 apply (zenon_L192_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.74 apply (zenon_L2233_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_L251_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.74 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.74 apply (zenon_L120_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.74 apply (zenon_L68_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L2111_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_L2232_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_L2124_); trivial.
% 22.64/22.74 apply (zenon_L2219_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_L264_); trivial.
% 22.64/22.74 apply (zenon_L2112_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.74 apply (zenon_L146_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_L239_); trivial.
% 22.64/22.74 apply (zenon_L192_); trivial.
% 22.64/22.74 apply (zenon_L1347_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.74 apply (zenon_L13_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.74 apply (zenon_L146_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.74 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.74 apply (zenon_L120_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.74 apply (zenon_L95_); trivial.
% 22.64/22.74 apply (zenon_L210_); trivial.
% 22.64/22.74 apply (zenon_L192_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.74 apply (zenon_L161_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.74 apply (zenon_L251_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.74 apply (zenon_L147_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.74 apply (zenon_L2234_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H67 | zenon_intro zenon_H126 ].
% 22.64/22.74 apply (zenon_L251_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H76 | zenon_intro zenon_H127 ].
% 22.64/22.74 apply (zenon_L171_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H65 | zenon_intro zenon_H102 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.74 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.74 apply (zenon_L116_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.74 apply (zenon_L43_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H76 | zenon_intro zenon_Hfb ].
% 22.64/22.74 apply (zenon_L171_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfc ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L2235_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H118 ].
% 22.64/22.74 apply (zenon_L73_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10d | zenon_intro zenon_H119 ].
% 22.64/22.74 apply (zenon_L152_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H110 | zenon_intro zenon_Hb9 ].
% 22.64/22.74 exact (zenon_H191 zenon_H110).
% 22.64/22.74 apply (zenon_L166_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_L2236_); trivial.
% 22.64/22.74 apply (zenon_L2218_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H72 | zenon_intro zenon_Hf7 ].
% 22.64/22.74 apply (zenon_L407_); trivial.
% 22.64/22.74 apply (zenon_L63_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.74 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.74 apply (zenon_L116_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L2238_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.64/22.74 apply (zenon_L2209_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.64/22.74 apply (zenon_L274_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.64/22.74 apply (zenon_L2236_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.64/22.74 apply (zenon_L43_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.64/22.74 apply (zenon_L54_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H38 | zenon_intro zenon_H19b ].
% 22.64/22.74 apply (zenon_L1259_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H136 | zenon_intro zenon_H19c ].
% 22.64/22.74 apply (zenon_L157_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H115 | zenon_intro zenon_H167 ].
% 22.64/22.74 apply (zenon_L2239_); trivial.
% 22.64/22.74 exact (zenon_H162 zenon_H167).
% 22.64/22.74 apply (zenon_L2162_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_L2123_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.64/22.74 apply (zenon_L254_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.64/22.74 apply (zenon_L274_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.64/22.74 apply (zenon_L2123_); trivial.
% 22.64/22.74 apply (zenon_L2239_); trivial.
% 22.64/22.74 apply (zenon_L91_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.74 apply (zenon_L146_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_L2214_); trivial.
% 22.64/22.74 apply (zenon_L192_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.74 apply (zenon_L2238_); trivial.
% 22.64/22.74 apply (zenon_L1767_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.74 apply (zenon_L2128_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.74 apply (zenon_L2221_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.74 apply (zenon_L2115_); trivial.
% 22.64/22.74 apply (zenon_L1767_); trivial.
% 22.64/22.74 apply (zenon_L414_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.74 apply (zenon_L13_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.74 apply (zenon_L146_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.74 apply (zenon_L13_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.74 apply (zenon_L18_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.74 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.74 apply (zenon_L120_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.74 apply (zenon_L95_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H2d | zenon_intro zenon_H14a ].
% 22.64/22.74 apply (zenon_L731_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H14b ].
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H31 | zenon_intro zenon_H14d ].
% 22.64/22.74 apply (zenon_L2240_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H14e ].
% 22.64/22.74 apply (zenon_L1265_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H14c | zenon_intro zenon_H11d ].
% 22.64/22.74 apply (zenon_L2124_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H65 | zenon_intro zenon_H16c ].
% 22.64/22.74 apply (zenon_L2117_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H16d ].
% 22.64/22.74 apply (zenon_L54_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ].
% 22.64/22.74 apply (zenon_L155_); trivial.
% 22.64/22.74 apply (zenon_L267_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14c | zenon_intro zenon_H115 ].
% 22.64/22.74 apply (zenon_L2124_); trivial.
% 22.64/22.74 apply (zenon_L2219_); trivial.
% 22.64/22.74 apply (zenon_L31_); trivial.
% 22.64/22.74 apply (zenon_L192_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.74 apply (zenon_L2233_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.74 apply (zenon_L2240_); trivial.
% 22.64/22.74 apply (zenon_L2243_); trivial.
% 22.64/22.74 apply (zenon_L434_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.74 apply (zenon_L2245_); trivial.
% 22.64/22.74 apply (zenon_L2245_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.74 apply (zenon_L1351_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.74 apply (zenon_L37_); trivial.
% 22.64/22.74 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.64/22.74 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.75 apply (zenon_L2195_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.75 apply (zenon_L2250_); trivial.
% 22.64/22.75 apply (zenon_L2250_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_L1354_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc1.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb9. zenon_intro zenon_H32.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H89. zenon_intro zenon_H92.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H13d ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.64/22.75 apply (zenon_L2253_); trivial.
% 22.64/22.75 apply (zenon_L2253_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 apply (zenon_L1355_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 apply (zenon_L2251_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 apply (zenon_L2252_); trivial.
% 22.64/22.75 apply (zenon_L1384_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8b ].
% 22.64/22.75 apply (zenon_L2254_); trivial.
% 22.64/22.75 apply (zenon_L2254_); trivial.
% 22.64/22.75 apply (zenon_L1389_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_L1233_); trivial.
% 22.64/22.75 apply (zenon_L2203_); trivial.
% 22.64/22.75 apply (zenon_L1391_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H312 | zenon_intro zenon_H311 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H14c. zenon_intro zenon_H2f5.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H28f. zenon_intro zenon_H2f8.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1ca. zenon_intro zenon_H1c0.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H1f | zenon_intro zenon_H1e ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_He3 | zenon_intro zenon_H3c ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H13d | zenon_intro zenon_H65 ].
% 22.64/22.75 exact (zenon_H13d zenon_H14c).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H162 | zenon_intro zenon_H9d ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 22.64/22.75 apply (zenon_L2236_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_L28_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.75 apply (zenon_L2267_); trivial.
% 22.64/22.75 apply (zenon_L2267_); trivial.
% 22.64/22.75 apply (zenon_L2269_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.75 apply (zenon_L2273_); trivial.
% 22.64/22.75 apply (zenon_L2273_); trivial.
% 22.64/22.75 apply (zenon_L434_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.75 apply (zenon_L2276_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_L2278_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_L1336_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.75 apply (zenon_L1866_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 exact (zenon_H205 zenon_H2a).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 exact (zenon_H237 zenon_H31).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.75 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.75 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.75 apply (zenon_L116_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.75 apply (zenon_L43_); trivial.
% 22.64/22.75 apply (zenon_L2281_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.75 apply (zenon_L193_); trivial.
% 22.64/22.75 apply (zenon_L1873_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.75 apply (zenon_L405_); trivial.
% 22.64/22.75 apply (zenon_L2265_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.75 apply (zenon_L1866_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 exact (zenon_H205 zenon_H2a).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 apply (zenon_L814_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.75 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.75 apply (zenon_L116_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.75 apply (zenon_L43_); trivial.
% 22.64/22.75 apply (zenon_L2283_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.75 apply (zenon_L27_); trivial.
% 22.64/22.75 apply (zenon_L2265_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.75 apply (zenon_L2236_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.75 apply (zenon_L405_); trivial.
% 22.64/22.75 apply (zenon_L501_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 exact (zenon_H237 zenon_H31).
% 22.64/22.75 exact (zenon_H238 zenon_H38).
% 22.64/22.75 apply (zenon_L601_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.75 apply (zenon_L2236_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.75 apply (zenon_L27_); trivial.
% 22.64/22.75 apply (zenon_L2287_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 apply (zenon_L264_); trivial.
% 22.64/22.75 exact (zenon_H238 zenon_H38).
% 22.64/22.75 apply (zenon_L1861_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_L35_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_L39_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_L2329_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.75 apply (zenon_L2339_); trivial.
% 22.64/22.75 apply (zenon_L2339_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L2340_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.75 apply (zenon_L2341_); trivial.
% 22.64/22.75 apply (zenon_L2341_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_L28_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.64/22.75 exact (zenon_H209 zenon_H9d).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc4 ].
% 22.64/22.75 apply (zenon_L2342_); trivial.
% 22.64/22.75 apply (zenon_L2342_); trivial.
% 22.64/22.75 apply (zenon_L2269_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.75 apply (zenon_L2343_); trivial.
% 22.64/22.75 apply (zenon_L434_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_L1884_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_L2278_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_L1336_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.75 apply (zenon_L1866_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 exact (zenon_H205 zenon_H2a).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 exact (zenon_H237 zenon_H31).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.75 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.75 apply (zenon_L2281_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.75 apply (zenon_L193_); trivial.
% 22.64/22.75 apply (zenon_L1873_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.75 apply (zenon_L405_); trivial.
% 22.64/22.75 apply (zenon_L2265_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.75 apply (zenon_L1866_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 exact (zenon_H205 zenon_H2a).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 apply (zenon_L264_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.75 apply (zenon_L2283_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.75 apply (zenon_L27_); trivial.
% 22.64/22.75 apply (zenon_L2265_); trivial.
% 22.64/22.75 apply (zenon_L1886_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_L35_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_L39_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_L2329_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_L221_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L201_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H13d | zenon_intro zenon_H65 ].
% 22.64/22.75 exact (zenon_H13d zenon_H14c).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H162 | zenon_intro zenon_H9d ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_L26_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_L28_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H34. zenon_intro zenon_H39.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.75 apply (zenon_L1754_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.75 apply (zenon_L2276_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_L16_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_L18_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.64/22.75 apply (zenon_L1868_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.75 apply (zenon_L25_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.75 apply (zenon_L27_); trivial.
% 22.64/22.75 apply (zenon_L500_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 exact (zenon_H237 zenon_H31).
% 22.64/22.75 exact (zenon_H238 zenon_H38).
% 22.64/22.75 apply (zenon_L601_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.75 apply (zenon_L25_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.75 apply (zenon_L405_); trivial.
% 22.64/22.75 apply (zenon_L2286_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 apply (zenon_L814_); trivial.
% 22.64/22.75 exact (zenon_H238 zenon_H38).
% 22.64/22.75 apply (zenon_L601_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_L35_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_L39_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_L2345_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.75 exact (zenon_H7a zenon_H3c).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H40 ].
% 22.64/22.75 apply (zenon_L2347_); trivial.
% 22.64/22.75 apply (zenon_L2347_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L2340_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_L26_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_L28_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.75 apply (zenon_L1475_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.75 apply (zenon_L180_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.75 apply (zenon_L214_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.75 apply (zenon_L1294_); trivial.
% 22.64/22.75 apply (zenon_L165_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.75 apply (zenon_L1880_); trivial.
% 22.64/22.75 apply (zenon_L246_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_L1884_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_L2278_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_L18_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H22.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H4c ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H237 | zenon_intro zenon_H6c ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.75 apply (zenon_L1866_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 exact (zenon_H205 zenon_H2a).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 exact (zenon_H237 zenon_H31).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.75 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.75 apply (zenon_L1293_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.75 apply (zenon_L193_); trivial.
% 22.64/22.75 apply (zenon_L1873_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_Ha4 ].
% 22.64/22.75 apply (zenon_L1866_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 exact (zenon_H1f zenon_H1e).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 exact (zenon_H205 zenon_H2a).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 apply (zenon_L264_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.75 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.75 apply (zenon_L2282_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.75 apply (zenon_L193_); trivial.
% 22.64/22.75 apply (zenon_L156_); trivial.
% 22.64/22.75 apply (zenon_L1886_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_L35_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_L39_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_L2345_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_L221_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L201_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H13d | zenon_intro zenon_H65 ].
% 22.64/22.75 exact (zenon_H13d zenon_H14c).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_L4_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_L6_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_L8_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_L9_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_L2278_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_L33_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_L19_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_L35_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_L39_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_L40_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_L45_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L2340_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H314 | zenon_intro zenon_H313 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H105. zenon_intro zenon_H2fb.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H290. zenon_intro zenon_H2fe.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H264. zenon_intro zenon_H230.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H4c | zenon_intro zenon_H2a ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H1bf | zenon_intro zenon_H6d ].
% 22.64/22.75 exact (zenon_H1bf zenon_H105).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H120 | zenon_intro zenon_Hac ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_L2348_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_L2349_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_L2351_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.75 apply (zenon_L2355_); trivial.
% 22.64/22.75 apply (zenon_L2355_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_L319_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_L2356_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_L435_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.75 apply (zenon_L2364_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 apply (zenon_L2365_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 apply (zenon_L451_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.75 apply (zenon_L2365_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.75 apply (zenon_L250_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.75 apply (zenon_L2368_); trivial.
% 22.64/22.75 apply (zenon_L1087_); trivial.
% 22.64/22.75 apply (zenon_L2369_); trivial.
% 22.64/22.75 apply (zenon_L101_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hec | zenon_intro zenon_H159 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 apply (zenon_L2365_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 apply (zenon_L457_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.75 exact (zenon_H4c zenon_H47).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.75 apply (zenon_L20_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.75 apply (zenon_L214_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.75 apply (zenon_L22_); trivial.
% 22.64/22.75 apply (zenon_L2370_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.75 apply (zenon_L148_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.75 exact (zenon_H4c zenon_H47).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.75 apply (zenon_L20_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.75 apply (zenon_L21_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.75 apply (zenon_L264_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.75 apply (zenon_L303_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.75 exact (zenon_He3 zenon_He7).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.75 apply (zenon_L64_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H148 ].
% 22.64/22.75 apply (zenon_L46_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10c | zenon_intro zenon_H149 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1a4 ].
% 22.64/22.75 apply (zenon_L68_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H133 | zenon_intro zenon_H1a5 ].
% 22.64/22.75 apply (zenon_L436_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H110 | zenon_intro zenon_Hbb ].
% 22.64/22.75 apply (zenon_L400_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H9e | zenon_intro zenon_H26b ].
% 22.64/22.75 apply (zenon_L115_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H26c ].
% 22.64/22.75 apply (zenon_L90_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc3 ].
% 22.64/22.75 apply (zenon_L2367_); trivial.
% 22.64/22.75 apply (zenon_L622_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H133 | zenon_intro zenon_Ha5 ].
% 22.64/22.75 apply (zenon_L436_); trivial.
% 22.64/22.75 apply (zenon_L90_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.75 apply (zenon_L70_); trivial.
% 22.64/22.75 apply (zenon_L84_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.75 apply (zenon_L60_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.75 apply (zenon_L2368_); trivial.
% 22.64/22.75 apply (zenon_L1087_); trivial.
% 22.64/22.75 apply (zenon_L2369_); trivial.
% 22.64/22.75 apply (zenon_L1113_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_L458_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_L2372_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.75 apply (zenon_L2388_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L467_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_L2348_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_L2349_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_L2389_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.75 apply (zenon_L2390_); trivial.
% 22.64/22.75 apply (zenon_L2390_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_L319_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_L2356_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_L435_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.75 apply (zenon_L2364_); trivial.
% 22.64/22.75 apply (zenon_L385_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_L458_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_L387_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.75 apply (zenon_L2388_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L388_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H1bf | zenon_intro zenon_H6d ].
% 22.64/22.75 exact (zenon_H1bf zenon_H105).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H120 | zenon_intro zenon_Hac ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_L482_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_L2349_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_L2351_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_L513_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_L319_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_L485_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_L435_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_L522_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_L458_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_L2372_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_L531_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L467_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_L482_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_L2349_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_L2389_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_L513_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_L483_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_L485_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_L435_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_L522_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_L458_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_L387_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_L531_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L388_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_L2352_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H316 | zenon_intro zenon_H315 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H8a. zenon_intro zenon_H301.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H291. zenon_intro zenon_H302.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H277. zenon_intro zenon_H303.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H270. zenon_intro zenon_H271.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H6c | zenon_intro zenon_H31 ].
% 22.64/22.75 apply (zenon_L2109_); trivial.
% 22.64/22.75 apply (zenon_L2081_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H318 | zenon_intro zenon_H317 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H110. zenon_intro zenon_H306.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H283. zenon_intro zenon_H307.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H282. zenon_intro zenon_H308.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H281. zenon_intro zenon_H284.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H38 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H159 | zenon_intro zenon_H5c ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H191 | zenon_intro zenon_H93 ].
% 22.64/22.75 exact (zenon_H191 zenon_H110).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H25. zenon_intro zenon_H2b.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.75 apply (zenon_L2392_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.75 apply (zenon_L65_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.75 apply (zenon_L2394_); trivial.
% 22.64/22.75 apply (zenon_L596_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_L2396_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_L2397_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.75 apply (zenon_L2400_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_L2401_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5c. zenon_intro zenon_H62.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H7f. zenon_intro zenon_H39.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.75 apply (zenon_L2406_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_L1208_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_L1209_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H93. zenon_intro zenon_H9a.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H160. zenon_intro zenon_H39.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hc2.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H209 | zenon_intro zenon_H162 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.75 apply (zenon_L815_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H181 ].
% 22.64/22.75 apply (zenon_L2415_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 apply (zenon_L2408_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.75 apply (zenon_L352_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.75 apply (zenon_L215_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.75 apply (zenon_L2136_); trivial.
% 22.64/22.75 apply (zenon_L596_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.75 apply (zenon_L2129_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.75 apply (zenon_L352_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.75 apply (zenon_L65_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.75 apply (zenon_L2150_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.75 apply (zenon_L2409_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.75 apply (zenon_L217_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.75 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.75 apply (zenon_L53_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.75 apply (zenon_L75_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.75 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H25 | zenon_intro zenon_H146 ].
% 22.64/22.75 apply (zenon_L116_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He7 | zenon_intro zenon_H147 ].
% 22.64/22.75 apply (zenon_L272_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H136 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ].
% 22.64/22.75 apply (zenon_L46_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H3f | zenon_intro zenon_Hee ].
% 22.64/22.75 apply (zenon_L219_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ].
% 22.64/22.75 apply (zenon_L117_); trivial.
% 22.64/22.75 apply (zenon_L2152_); trivial.
% 22.64/22.75 apply (zenon_L422_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.75 apply (zenon_L67_); trivial.
% 22.64/22.75 exact (zenon_H209 zenon_H9d).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.75 apply (zenon_L147_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.75 apply (zenon_L94_); trivial.
% 22.64/22.75 apply (zenon_L167_); trivial.
% 22.64/22.75 apply (zenon_L596_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.75 apply (zenon_L352_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.75 apply (zenon_L2417_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.75 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.75 apply (zenon_L53_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.75 apply (zenon_L95_); trivial.
% 22.64/22.75 apply (zenon_L2416_); trivial.
% 22.64/22.75 apply (zenon_L2418_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.75 apply (zenon_L2411_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.75 apply (zenon_L2129_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.75 apply (zenon_L2413_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.75 apply (zenon_L818_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.75 apply (zenon_L2409_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.75 apply (zenon_L217_); trivial.
% 22.64/22.75 apply (zenon_L866_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.75 apply (zenon_L239_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H47 | zenon_intro zenon_H83 ].
% 22.64/22.75 apply (zenon_L2414_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H3c | zenon_intro zenon_H84 ].
% 22.64/22.75 apply (zenon_L2409_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H54 | zenon_intro zenon_H7e ].
% 22.64/22.75 apply (zenon_L217_); trivial.
% 22.64/22.75 apply (zenon_L2420_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.75 apply (zenon_L251_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.75 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.75 apply (zenon_L110_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.75 apply (zenon_L68_); trivial.
% 22.64/22.75 apply (zenon_L2416_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.75 apply (zenon_L264_); trivial.
% 22.64/22.75 apply (zenon_L167_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.75 apply (zenon_L2417_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.75 apply (zenon_L239_); trivial.
% 22.64/22.75 apply (zenon_L2418_); trivial.
% 22.64/22.75 apply (zenon_L555_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H120 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.75 apply (zenon_L20_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.75 apply (zenon_L2421_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.75 apply (zenon_L122_); trivial.
% 22.64/22.75 apply (zenon_L167_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.75 apply (zenon_L53_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.75 exact (zenon_H159 zenon_H10c).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.75 apply (zenon_L163_); trivial.
% 22.64/22.75 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.75 apply (zenon_L251_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.75 apply (zenon_L2421_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.75 apply (zenon_L264_); trivial.
% 22.64/22.75 apply (zenon_L167_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c8 ].
% 22.64/22.75 apply (zenon_L55_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1c9 ].
% 22.64/22.75 exact (zenon_H159 zenon_H10c).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10d | zenon_intro zenon_Hac ].
% 22.64/22.75 apply (zenon_L163_); trivial.
% 22.64/22.75 exact (zenon_H1c7 zenon_Hac).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.75 apply (zenon_L239_); trivial.
% 22.64/22.75 apply (zenon_L2423_); trivial.
% 22.64/22.75 apply (zenon_L2427_); trivial.
% 22.64/22.75 apply (zenon_L237_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H22.
% 22.64/22.75 apply (zenon_L2393_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb4 ].
% 22.64/22.75 exact (zenon_Ha4 zenon_H9f).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ].
% 22.64/22.75 apply (zenon_L42_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H9d ].
% 22.64/22.75 apply (zenon_L282_); trivial.
% 22.64/22.75 apply (zenon_L221_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L2428_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_L1222_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H191 | zenon_intro zenon_H93 ].
% 22.64/22.75 exact (zenon_H191 zenon_H110).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 22.64/22.75 apply (zenon_L2473_); trivial.
% 22.64/22.75 apply (zenon_L1234_); trivial.
% 22.64/22.75 apply (zenon_L2454_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H31a | zenon_intro zenon_H319 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H167. zenon_intro zenon_H2f5.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H28f. zenon_intro zenon_H2f8.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1ca. zenon_intro zenon_H1c0.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H1f | zenon_intro zenon_H1e ].
% 22.64/22.75 apply (zenon_L2324_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_He3 | zenon_intro zenon_H3c ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H13d | zenon_intro zenon_H65 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H162 | zenon_intro zenon_H9d ].
% 22.64/22.75 exact (zenon_H162 zenon_H167).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_L4_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_L6_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_L8_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_L9_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_L2305_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_L2306_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_L19_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_L2313_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_L1831_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_L40_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_L221_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L201_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H162 | zenon_intro zenon_H9d ].
% 22.64/22.75 exact (zenon_H162 zenon_H167).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_L4_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_L28_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_L8_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_L9_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_L2322_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_L2306_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_L19_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_L35_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_L39_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_L40_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_L221_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L201_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H162 | zenon_intro zenon_H9d ].
% 22.64/22.75 exact (zenon_H162 zenon_H167).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_L26_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_L6_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_L8_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_L9_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_L16_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_L18_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_L19_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_L1830_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_L1831_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_L40_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_L221_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L201_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H31c | zenon_intro zenon_H31b ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H11f. zenon_intro zenon_H2fb.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H290. zenon_intro zenon_H2fe.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H264. zenon_intro zenon_H230.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H4c | zenon_intro zenon_H2a ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H1bf | zenon_intro zenon_H6d ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H120 | zenon_intro zenon_Hac ].
% 22.64/22.75 exact (zenon_H120 zenon_H11f).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_L2476_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_L2478_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_L2480_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.75 apply (zenon_L2492_); trivial.
% 22.64/22.75 apply (zenon_L2492_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H4d. zenon_intro zenon_H5b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H53. zenon_intro zenon_H32.
% 22.64/22.75 apply (zenon_L2491_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_L2483_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_L2495_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.75 apply (zenon_L2496_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_L2487_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_L387_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H3e. zenon_intro zenon_H45.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H169. zenon_intro zenon_H15c.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.64/22.75 apply (zenon_L2373_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.75 exact (zenon_H4c zenon_H47).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.75 apply (zenon_L2382_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.75 apply (zenon_L2497_); trivial.
% 22.64/22.75 apply (zenon_L187_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1b3 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.75 exact (zenon_H4c zenon_H47).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.75 apply (zenon_L20_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.75 apply (zenon_L214_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.75 apply (zenon_L2498_); trivial.
% 22.64/22.75 apply (zenon_L2499_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.75 apply (zenon_L1601_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.75 apply (zenon_L1602_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.75 apply (zenon_L2488_); trivial.
% 22.64/22.75 apply (zenon_L262_); trivial.
% 22.64/22.75 apply (zenon_L187_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 apply (zenon_L2490_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.75 exact (zenon_H4c zenon_H47).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.75 apply (zenon_L20_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.75 apply (zenon_L214_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.75 apply (zenon_L2498_); trivial.
% 22.64/22.75 apply (zenon_L2500_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.75 apply (zenon_L239_); trivial.
% 22.64/22.75 apply (zenon_L187_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.75 apply (zenon_L2501_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.75 apply (zenon_L2477_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.75 exact (zenon_H4c zenon_H47).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.75 apply (zenon_L2503_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.75 apply (zenon_L239_); trivial.
% 22.64/22.75 apply (zenon_L187_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ff ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H67 | zenon_intro zenon_H142 ].
% 22.64/22.75 apply (zenon_L20_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H6e | zenon_intro zenon_H143 ].
% 22.64/22.75 apply (zenon_L2504_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf6 ].
% 22.64/22.75 apply (zenon_L2498_); trivial.
% 22.64/22.75 apply (zenon_L165_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 22.64/22.75 apply (zenon_L2474_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2d | zenon_intro zenon_H34 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.75 exact (zenon_H4c zenon_H47).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.75 apply (zenon_L2444_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.75 apply (zenon_L55_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.75 apply (zenon_L2488_); trivial.
% 22.64/22.75 apply (zenon_L262_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.75 apply (zenon_L1603_); trivial.
% 22.64/22.75 apply (zenon_L187_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H47 | zenon_intro zenon_H15e ].
% 22.64/22.75 exact (zenon_H4c zenon_H47).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H3d | zenon_intro zenon_H15f ].
% 22.64/22.75 apply (zenon_L2503_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H9f | zenon_intro zenon_H144 ].
% 22.64/22.75 apply (zenon_L2505_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 22.64/22.75 apply (zenon_L1602_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hfe | zenon_intro zenon_H9e ].
% 22.64/22.75 apply (zenon_L2488_); trivial.
% 22.64/22.75 apply (zenon_L156_); trivial.
% 22.64/22.75 apply (zenon_L246_); trivial.
% 22.64/22.75 apply (zenon_L373_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L388_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H120 | zenon_intro zenon_Hac ].
% 22.64/22.75 exact (zenon_H120 zenon_H11f).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_L2476_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_L2478_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_L2480_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_L2509_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_L319_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_L2483_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_L435_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H6d. zenon_intro zenon_H88.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H72. zenon_intro zenon_H2b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.75 apply (zenon_L2496_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_L458_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_L387_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hac. zenon_intro zenon_Hb3.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha5. zenon_intro zenon_H2b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H7a | zenon_intro zenon_He3 ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1e | zenon_intro zenon_H239 ].
% 22.64/22.75 apply (zenon_L2512_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H2a | zenon_intro zenon_H23a ].
% 22.64/22.75 apply (zenon_L2506_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ].
% 22.64/22.75 apply (zenon_L2513_); trivial.
% 22.64/22.75 apply (zenon_L925_); trivial.
% 22.64/22.75 apply (zenon_L385_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L388_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H1bf | zenon_intro zenon_H6d ].
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H120 | zenon_intro zenon_Hac ].
% 22.64/22.75 exact (zenon_H120 zenon_H11f).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_L482_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.64/22.75 apply (zenon_L2514_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_L2480_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H22.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H1d. zenon_intro zenon_H23.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H204. zenon_intro zenon_H206.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H240. zenon_intro zenon_H23b.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f ].
% 22.64/22.75 apply (zenon_L2516_); trivial.
% 22.64/22.75 apply (zenon_L2516_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_L483_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_L2483_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_L2495_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_L522_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_L2487_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_L387_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_L531_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L388_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H120 | zenon_intro zenon_Hac ].
% 22.64/22.75 exact (zenon_H120 zenon_H11f).
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H20 | zenon_intro zenon_Hcd ].
% 22.64/22.75 apply (zenon_L2_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H28 | zenon_intro zenon_Hce ].
% 22.64/22.75 apply (zenon_L482_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2f | zenon_intro zenon_Hcf ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2d. zenon_intro zenon_H32.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H8f. zenon_intro zenon_H8e.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bf ].
% 22.64/22.75 exact (zenon_H1ba zenon_H6d).
% 22.64/22.75 apply (zenon_L2514_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ].
% 22.64/22.75 apply (zenon_L2480_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd1 ].
% 22.64/22.75 apply (zenon_L2509_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H41 | zenon_intro zenon_Hd2 ].
% 22.64/22.75 apply (zenon_L11_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd3 ].
% 22.64/22.75 apply (zenon_L483_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H61 | zenon_intro zenon_Hd4 ].
% 22.64/22.75 apply (zenon_L2483_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hd5 ].
% 22.64/22.75 apply (zenon_L435_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd6 ].
% 22.64/22.75 apply (zenon_L522_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H8c | zenon_intro zenon_Hd7 ].
% 22.64/22.75 apply (zenon_L37_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H99 | zenon_intro zenon_Hd8 ].
% 22.64/22.75 apply (zenon_L458_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hd9 ].
% 22.64/22.75 apply (zenon_L387_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hda ].
% 22.64/22.75 apply (zenon_L531_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 22.64/22.75 apply (zenon_L388_); trivial.
% 22.64/22.75 apply (zenon_L51_); trivial.
% 22.64/22.75 apply (zenon_L2506_); trivial.
% 22.64/22.75 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H31e | zenon_intro zenon_H31d ].
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H17c. zenon_intro zenon_H301.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H291. zenon_intro zenon_H302.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H277. zenon_intro zenon_H303.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H270. zenon_intro zenon_H271.
% 22.64/22.75 apply (zenon_L2586_); trivial.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_Hc3. zenon_intro zenon_H306.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H283. zenon_intro zenon_H307.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H282. zenon_intro zenon_H308.
% 22.64/22.75 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H281. zenon_intro zenon_H284.
% 22.64/22.75 apply (zenon_L1235_); trivial.
% 22.64/22.75 Qed.
% 22.64/22.75 % SZS output end Proof
% 22.64/22.75 (* END-PROOF *)
% 22.64/22.75 nodes searched: 164071
% 22.64/22.75 max branch formulas: 303
% 22.64/22.75 proof nodes created: 16079
% 22.64/22.75 formulas created: 81233
% 22.64/22.75
%------------------------------------------------------------------------------